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JP7593433B2 - Electric motor - Google Patents
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JP7593433B2 - Electric motor - Google Patents

Electric motor Download PDF

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JP7593433B2
JP7593433B2 JP2023055745A JP2023055745A JP7593433B2 JP 7593433 B2 JP7593433 B2 JP 7593433B2 JP 2023055745 A JP2023055745 A JP 2023055745A JP 2023055745 A JP2023055745 A JP 2023055745A JP 7593433 B2 JP7593433 B2 JP 7593433B2
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pole
outer peripheral
magnetic pole
peripheral surface
magnetic
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JP2024143202A (en
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公興 長谷川
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Fujitsu General Ltd
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Fujitsu General Ltd
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Priority to JP2023055745A priority Critical patent/JP7593433B2/en
Priority to CN202480021593.1A priority patent/CN120958691A/en
Priority to PCT/JP2024/006206 priority patent/WO2024202721A1/en
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K1/00Details of the magnetic circuit
    • H02K1/06Details of the magnetic circuit characterised by the shape, form or construction
    • H02K1/22Rotating parts of the magnetic circuit
    • H02K1/27Rotor cores with permanent magnets
    • H02K1/2706Inner rotors
    • H02K1/272Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis
    • H02K1/274Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets
    • H02K1/2753Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets the rotor consisting of magnets or groups of magnets arranged with alternating polarity
    • H02K1/276Magnets embedded in the magnetic core, e.g. interior permanent magnets [IPM]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Permanent Field Magnets Of Synchronous Machinery (AREA)
  • Iron Core Of Rotating Electric Machines (AREA)

Description

本発明は、電動機に関する。 The present invention relates to an electric motor.

電動機としては、ロータコアの内部に永久磁石が埋め込まれた埋込磁石型のロータを備えるものが知られている。この種の電動機は、永久磁石の外周側に形成される複数の磁極部が周方向に沿って設けられたロータと、ロータの外周側に配置された複数のティース部及び環状のヨーク部を有するステータと、を備える。 A known electric motor has an embedded magnet type rotor in which permanent magnets are embedded inside the rotor core. This type of electric motor has a rotor in which multiple magnetic poles are formed on the outer periphery of the permanent magnet and arranged along the circumferential direction, and a stator with multiple teeth and an annular yoke portion arranged on the outer periphery of the rotor.

関連技術としては、回転するロータの周方向において、ロータコアの外周面とティース部の内周面との間の空隙(エアギャップ)の大きさを変化させることで、周方向に沿った空隙での磁束密度分布を正弦波に近づけて、トルクリップルを低減する電動機がある(特許文献1)。 Related technology includes an electric motor that reduces torque ripple by changing the size of the air gap between the outer circumferential surface of the rotor core and the inner circumferential surface of the teeth in the circumferential direction of the rotating rotor, thereby bringing the magnetic flux density distribution in the air gap along the circumferential direction closer to a sine wave (Patent Document 1).

特開2021-90351号公報JP 2021-90351 A

ここで、永久磁石の個数(磁極部の個数)である極数と、巻き線が巻かれた巻回部の個数に相当するティース部の個数との比率が2:3となる電動機は、ロータの周方向に隣り合うN極磁極部とS極磁極部の組である1つの極対(以後、「一極対」とも言う)の範囲においては、平均して3つのティース部がロータに対向することになる。ここで一例として、一極対の範囲に3つのティース部が対向するとき(ロータの周方向に並ぶ3つのティース部のうちの中央のティース部が、周方向に隣り合う磁極部同士の間の中央とロータの回転中心とを結ぶ直線であるq軸上に位置するとき)にステータとロータの間を循環する磁路が形成された場合おいて、ロータの周方向に並ぶ3つのティース部のうち中央のティース部に着目する。この場合、ステータのヨーク部を通過せずにティース部の内周側の端部(鍔部)を経由してN極磁極部からS極磁極部へと至る磁路と、N極磁極部からこのティース部をロータの径方向に縦断した後にヨーク部を経由して隣り合うティース部からS極磁極部へと至る磁路との、2種類の磁路が生じる。このように中央のティース部において2種類の磁路が形成された場合、中央のティース部を通過する磁束は、q軸に対して対称的な分布にはなり得ない。つまり、極数とティース部の個数との比率が2:3となる電動機では、1つの極対をなすN極永久磁石とS極永久磁石において、N極永久磁石とこのN極永久磁石に近接するティース部との間を通過する磁束密度分布と、S極永久磁石とこのS極永久磁石に近接するティース部との間を通過する磁束密分布とが、q軸に対して対称にはならない。 Here, in an electric motor in which the ratio of the number of poles, which is the number of permanent magnets (the number of magnetic poles), to the number of teeth, which is the number of windings around which the windings are wound, is 2:3, an average of three teeth will face the rotor within the range of one pole pair (hereinafter also referred to as a "pole pair"), which is a set of a north pole magnetic pole and a south pole magnetic pole adjacent to each other in the circumferential direction of the rotor. As an example, when three teeth face the range of one pole pair (when the central tooth of the three teeth aligned in the circumferential direction of the rotor is located on the q-axis, which is the straight line connecting the center between the circumferentially adjacent magnetic poles and the center of rotation of the rotor), a magnetic path circulating between the stator and the rotor is formed, attention will be paid to the central tooth of the three teeth aligned in the circumferential direction of the rotor. In this case, two types of magnetic paths are generated: one that passes through the inner end (flange) of the teeth from the N-pole magnetic pole to the S-pole magnetic pole without passing through the yoke of the stator, and the other that passes through the N-pole magnetic pole, crosses the teeth in the radial direction of the rotor, passes through the yoke, and then passes through the adjacent teeth to the S-pole magnetic pole. When two types of magnetic paths are formed in the central teeth in this way, the magnetic flux passing through the central teeth cannot be distributed symmetrically with respect to the q-axis. In other words, in a motor with a ratio of the number of poles to the number of teeth of 2:3, the magnetic flux density distribution passing between the N-pole permanent magnet and the teeth adjacent to the N-pole permanent magnet and the magnetic flux density distribution passing between the S-pole permanent magnet and the teeth adjacent to the S-pole permanent magnet are not symmetric with respect to the q-axis in the N-pole permanent magnet and S-pole permanent magnet that form one pole pair.

そのため、極数とティース部の個数との比率が2:3、言い換えると、極対の個数(以後、「極対数」とも言う)とティース部の個数との比率が1:3となる3相巻線の集中巻き電動機では、回転するロータの周方向においてロータとステータとの間の空隙での磁束密度分布を正弦波に近づけることが困難であった。この要因としては、例えば、ロータコアの外周面における磁極部の範囲の形状が、磁極部の中央とロータの回転中心とを結ぶ直線であるd軸に対して対称であることが挙げられる。 Therefore, in a three-phase concentrated winding motor in which the ratio of the number of poles to the number of teeth is 2:3, in other words the ratio of the number of pole pairs (hereinafter also referred to as the "pole pair number") to the number of teeth is 1:3, it is difficult to make the magnetic flux density distribution in the gap between the rotor and the stator in the circumferential direction of the rotating rotor approach a sine wave. One of the reasons for this is, for example, that the shape of the range of the magnetic poles on the outer circumferential surface of the rotor core is symmetrical with respect to the d-axis, which is the straight line connecting the center of the magnetic poles and the center of rotation of the rotor.

開示の技術は、上記に鑑みてなされたものであって、回転するロータの周方向においてロータとステータとの間の空隙での磁束密度分布を正弦波に近づけることができる電動機を提供することを目的とする。 The disclosed technology has been developed in consideration of the above, and aims to provide an electric motor that can make the magnetic flux density distribution in the gap between the rotor and the stator in the circumferential direction of the rotating rotor closer to a sine wave.

本願の開示する電動機の一態様は、永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、ロータの外周側に配置された複数のティース部を有するステータと、を備え、磁極部の極対の個数がm個、複数のティース部の個数が3m個であり、ロータコアは、永久磁石の周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、ロータの回転中心線に直交する平面において、ロータコアの外周面の形状がロータの回転中心に対して点対称となるように、1つの極対である一極対を形成する範囲でのロータコアの外周面を一極対外周面としたとき、一極対外周面の形状が前記周方向にm回繰り返して形成され、前記平面において、各磁極部は、回転中心と一方の非磁性部のロータコアの径方向における外周端を通る第1境界線と、回転中心と他方の非磁性部の径方向における外周端を通る第2境界線と、の間における前記外周面に形成された磁極外周面を有し、前記平面において、周方向における磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、各極対は、q軸を挟んで配置されたN極磁極部とS極磁極部を有し、前記平面において、N極磁極部とS極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させてN極磁極部とS極磁極部のいずれか他方の磁極部に重ねたときに、N極磁極部の磁極外周面とS極磁極部の磁極外周面とは、互いに一致しない形状に形成されている。前記平面において、N極磁極部の磁極外周面が、N極磁極部におけるd軸であるN極d軸に対して非対称な形状に形成され、S極磁極部の磁極外周面が、S極磁極部におけるd軸であるS極d軸に対して非対称な形状に形成され、N極磁極部の磁極外周面は、N極d軸に対してロータの回転方向の前方側に位置するN極前方側外周面と、N極d軸に対して回転方向の後方側に位置するN極後方側外周面と、を有する。前記平面においてN極磁極部をN極d軸に沿って仮想的に折り返して、N極前方側外周面をN極後方側外周面に重ねたとき、N極前方側外周面は、前記径方向においてN極後方側外周面よりも内側に位置すると共にN極前方外周面に沿う円弧状の小径外周面を有する。 One aspect of an electric motor disclosed in the present application is an electric motor comprising: a rotor having a rotor core in which a permanent magnet is embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on the outer periphery of the rotor, the number of pole pairs of the magnetic pole portions being m, the number of the plurality of teeth portions being 3m, the rotor core having non-magnetic portions extending continuously from each of both ends in the circumferential direction of the permanent magnet, and in a plane perpendicular to the rotation centerline of the rotor, when the outer periphery of the rotor core in a range forming one pole pair, which is one pole pair, is taken as one pole pair outer periphery surface, so that the shape of the outer periphery of the rotor core is point symmetrical with respect to the rotation center of the rotor, the shape of the one pole pair outer periphery surface is repeated m times in the circumferential direction, and in the plane, each magnetic pole portion is located between the rotation center and one of the non-magnetic portions. The rotor core has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line passing through the outer peripheral end in the radial direction of the rotor core and a second boundary line passing through the center of rotation and the outer peripheral end in the radial direction of the other non-magnetic portion, and in the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the center of rotation is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the center of rotation is defined as a q-axis, and each pole pair has an N-pole magnetic pole portion and an S-pole magnetic pole portion arranged on either side of the q-axis, and when either the N-pole magnetic pole portion or the S-pole magnetic pole portion is virtually rotated 360/(2 m) [degrees] around the center of rotation in the plane and overlapped with the other magnetic pole portion of the N-pole magnetic pole portion or the S-pole magnetic pole portion, the magnetic pole outer peripheral surface of the N-pole magnetic pole portion and the magnetic pole outer peripheral surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other. In the plane, the magnetic pole outer peripheral surface of the N-pole magnetic pole part is formed in an asymmetric shape with respect to the N-pole d-axis which is the d-axis of the N-pole magnetic pole part, and the magnetic pole outer peripheral surface of the S-pole magnetic pole part is formed in an asymmetric shape with respect to the S-pole d-axis which is the d-axis of the S-pole magnetic pole part, and the magnetic pole outer peripheral surface of the N-pole magnetic pole part has an N-pole front side outer peripheral surface located on the front side of the N-pole d-axis in the rotation direction of the rotor, and an N-pole rear side outer peripheral surface located on the rear side of the N-pole d-axis in the rotation direction. When the N-pole magnetic pole part is virtually folded back along the N-pole d-axis in the plane and the N-pole front side outer peripheral surface is overlapped with the N-pole rear side outer peripheral surface, the N-pole front side outer peripheral surface has an arc-shaped small-diameter outer peripheral surface located inside the N-pole rear side outer peripheral surface in the radial direction and along the N-pole front outer peripheral surface.

本願の開示する電動機の一態様によれば、回転するロータの周方向においてロータとステータとの間の空隙での磁束密度分布を正弦波に近づけることができる。 According to one aspect of the electric motor disclosed in this application, the magnetic flux density distribution in the gap between the rotor and the stator in the circumferential direction of the rotating rotor can be made to approximate a sine wave.

図1は、実施例の電動機を示す平面図である。FIG. 1 is a plan view showing an electric motor according to an embodiment of the present invention. 図2は、実施例におけるロータを示す平面図である。FIG. 2 is a plan view showing a rotor in the embodiment. 図3は、実施例におけるロータのロータコアの要部を説明するための平面図である。FIG. 3 is a plan view for explaining a main portion of a rotor core of a rotor in the embodiment. 図4は、実施例におけるロータコアの一極対を示す拡大図である。FIG. 4 is an enlarged view showing one pole pair of the rotor core in the embodiment. 図5は、実施例におけるロータコアの各磁極部の磁極外周面を示す模式図である。FIG. 5 is a schematic diagram showing the outer circumferential surface of each magnetic pole portion of the rotor core in the embodiment. 図6は、実施例におけるロータコアの磁極外周面の形状を説明するための模式図である。FIG. 6 is a schematic diagram for explaining the shape of the outer circumferential surface of the magnetic pole of the rotor core in the embodiment. 図7は、比較例のロータコアの要部を説明するための平面図である。FIG. 7 is a plan view for explaining a main portion of a rotor core of a comparative example. 図8は、比較例のロータにおける磁束の分布を示す平面図である。FIG. 8 is a plan view showing the distribution of magnetic flux in a rotor of a comparative example. 図9は、比較例のロータを備えた電動機のエアギャップにおけるロータの周方向の磁束密度分布を示す図である。FIG. 9 is a diagram showing the magnetic flux density distribution in the circumferential direction of the rotor in the air gap of an electric motor equipped with a rotor of a comparative example. 図10は、実施例のロータにおける磁束の分布を示す平面図である。FIG. 10 is a plan view showing the distribution of magnetic flux in the rotor of the embodiment. 図11は、実施例のロータの周方向における磁束密度分布を示す図である。FIG. 11 is a diagram showing the magnetic flux density distribution in the circumferential direction of the rotor of the embodiment. 図12は、電動機に生じる振動について実施例と比較例とで比較して示す図である。FIG. 12 is a diagram showing a comparison of vibrations occurring in the electric motor between the embodiment and the comparative example. 図13は、電動機の周囲で生じる騒音について実施例と比較例とで比較して示す図である。FIG. 13 is a diagram showing a comparison between the embodiment and the comparative example with respect to noise generated around the electric motor. 図14は、参考例におけるロータコアの要部を説明するための平面図である。FIG. 14 is a plan view for explaining a main portion of a rotor core in a reference example. 図15は、参考例のロータの周方向における磁束密度分布を示す図である。FIG. 15 is a diagram showing the magnetic flux density distribution in the circumferential direction of the rotor of the reference example. 図16は、変形例のロータコアの要部を示す平面図である。FIG. 16 is a plan view showing a main portion of a rotor core according to a modified example.

以下に、本願の開示する電動機の実施例を図面に基づいて詳細に説明する。なお、以下の実施例によって、本願の開示する電動機が限定されるものではない。 Below, examples of the electric motor disclosed in this application are described in detail with reference to the drawings. Note that the electric motor disclosed in this application is not limited to the following examples.

(電動機の構成)
図1は、実施例における電動機を示す平面図である。図2は、実施例におけるロータを示す平面図である。図1及び図2に示すように、本実施例の電動機1は、6極9スロットの集中巻型の3相モータである。電動機1は、ロータ21と、ロータ21の外周側に配置されるステータ22と、を備える。
(Motor configuration)
Fig. 1 is a plan view showing an electric motor in the embodiment. Fig. 2 is a plan view showing a rotor in the embodiment. As shown in Fig. 1 and Fig. 2, an electric motor 1 in the embodiment is a three-phase motor with six poles and nine slots and a concentrated winding type. The electric motor 1 includes a rotor 21 and a stator 22 arranged on the outer periphery of the rotor 21.

ロータ21は、ケイ素鋼板等の軟磁性体からなる複数の金属板が積層されて形成された円柱状のロータコア23を有しており、複数の金属板は、例えばカシメにより一体化されている。ロータコア23の中心軸には、回転軸としてのシャフト3が挿通されて、シャフト3とロータ21が固定されている。また、ロータコア23には、長穴状の複数の冷媒ガス通路9がロータコア23の軸方向(シャフト3の軸方向)に貫通して設けられており、複数の冷媒ガス通路9がシャフト3の軸まわりに沿って間隔をあけて配置されている。実施例におけるロータコア23の要部については後述する。 The rotor 21 has a cylindrical rotor core 23 formed by stacking multiple metal plates made of soft magnetic material such as silicon steel, and the multiple metal plates are integrated, for example, by crimping. The shaft 3 serving as a rotating shaft is inserted into the central axis of the rotor core 23, and the shaft 3 and the rotor 21 are fixed. In addition, the rotor core 23 has multiple long hole-shaped refrigerant gas passages 9 that penetrate in the axial direction of the rotor core 23 (axial direction of the shaft 3), and the multiple refrigerant gas passages 9 are arranged at intervals around the axis of the shaft 3. The main parts of the rotor core 23 in the embodiment will be described later.

ステータ22は、概ね円筒形に形成されており、ロータ21の外周側を囲むように配置されている。ステータ22は、例えば、不図示の圧縮機の圧縮容器の内部等に固定される。図1に示すように、ステータ22は、ステータコア24と、上インシュレータ25及び下インシュレータ(図示せず)と、複数の巻き線46と、を備える。 The stator 22 is formed in a generally cylindrical shape and is arranged to surround the outer periphery of the rotor 21. The stator 22 is fixed, for example, inside a compression vessel of a compressor (not shown). As shown in FIG. 1, the stator 22 includes a stator core 24, an upper insulator 25, a lower insulator (not shown), and a plurality of windings 46.

図2に示すように、ステータコア24は、ロータコア23の外周面27との間に所定の空隙(エアギャップ)をあけて配置されている。ステータコア24は、環状のヨーク部31から、ロータコア23の径方向の内側へ向かって延びる9つのティース部32が、ステータコア24の周方向において40[度](機械角)の間隔を等間隔にあけて形成されている。各ティース部32には、ステータコア24の内周側に位置する先端から、ステータコア24の周方向の両側に突出する鍔部33が形成されている。各ティース部32は、同一形状に形成されている。各ティース部32には、図1に示すように、各巻き線46が集中巻きで巻回された巻回部45がそれぞれ形成されている。複数の巻き線46は、3つのU相巻き線46-U1~46-U3と、3つのV相巻き線46-V1~46-V3と、3つのW相巻き線46-W1~46-W3と、を有する。また、ステータ22において、各巻回部45から引き出されて一束にまとめられた中性線は、絶縁チューブで覆われて、ステータ22の周方向(ロータ21の回転方向)に隣り合う巻回部45の隙間に挿入されている(図1参照)。上インシュレータ25は、ステータコア24の上端部に固定されている。下インシュレータは、ステータコア24の下端部に固定されている。上インシュレータ25及び下インシュレータは、ステータコア24と巻き線46とを絶縁する絶縁部材である。 As shown in FIG. 2, the stator core 24 is arranged with a predetermined gap (air gap) between it and the outer peripheral surface 27 of the rotor core 23. The stator core 24 has nine teeth 32 extending from an annular yoke portion 31 toward the inside in the radial direction of the rotor core 23, which are formed at equal intervals of 40 degrees (mechanical angle) in the circumferential direction of the stator core 24. Each tooth 32 has a flange portion 33 that protrudes from a tip located on the inner peripheral side of the stator core 24 to both sides in the circumferential direction of the stator core 24. Each tooth 32 is formed in the same shape. As shown in FIG. 1, each tooth 32 has a winding portion 45 in which each winding 46 is wound in a concentrated winding. The windings 46 include three U-phase windings 46-U1 to 46-U3, three V-phase windings 46-V1 to 46-V3, and three W-phase windings 46-W1 to 46-W3. In the stator 22, the neutral wires drawn from each winding section 45 and bundled together are covered with an insulating tube and inserted into the gaps between adjacent winding sections 45 in the circumferential direction of the stator 22 (the direction of rotation of the rotor 21) (see FIG. 1). The upper insulator 25 is fixed to the upper end of the stator core 24. The lower insulator is fixed to the lower end of the stator core 24. The upper insulator 25 and the lower insulator are insulating members that insulate the stator core 24 from the windings 46.

図2に示すように、実施例の電動機1のロータコア23は、永久磁石13a、13b、13c、13d、13e、13f(以下、永久磁石13とも言う。)が埋め込まれる複数の磁石埋込孔12a、12b、12c、12d、12e、12f(以下、磁石埋込孔12とも言う。)を有する。ロータコア23には、6つのスリット状の磁石埋込孔12が、シャフト3を中心として正六角形の各辺をなすように形成されている。各磁石埋込孔12は、ロータコア23の周方向に所定間隔をあけて配置されている。磁石埋込孔12には、板状の永久磁石13が埋め込まれている。なお、ロータコア23の軸方向の両端面には、永久磁石13の抜け止めのための端板が取り付けられているが、ロータコア23の要部を説明するために端板の図示を省略している。この端板は、ロータコア23のリベット穴7に通されるリベット8によってロータコア23に対して固定されている。 As shown in FIG. 2, the rotor core 23 of the electric motor 1 of the embodiment has a plurality of magnet embedding holes 12a, 12b, 12c, 12d, 12e, and 12f (hereinafter also referred to as magnet embedding holes 12) in which permanent magnets 13a, 13b, 13c, 13d, 13e, and 13f (hereinafter also referred to as permanent magnets 13) are embedded. In the rotor core 23, six slit-shaped magnet embedding holes 12 are formed so as to form each side of a regular hexagon centered on the shaft 3. Each magnet embedding hole 12 is arranged at a predetermined interval in the circumferential direction of the rotor core 23. A plate-shaped permanent magnet 13 is embedded in the magnet embedding hole 12. Note that end plates are attached to both axial end faces of the rotor core 23 to prevent the permanent magnets 13 from falling out, but the end plates are omitted from the illustration in order to explain the main parts of the rotor core 23. This end plate is fixed to the rotor core 23 by a rivet 8 that passes through a rivet hole 7 in the rotor core 23.

上述のようにロータコア23には、永久磁石13が埋め込まれることで6つの磁極部11、すなわち3つのN極磁極部11Nと3つのS極磁極部11Sが、ロータコア23の周方向に沿って交互に設けられている。N極磁極部11N及びS極磁極部11S(以下、磁極部11とも言う。)は、永久磁石13を含み、ロータコア23の径方向において永久磁石13の外周側部分(永久磁石13とロータコア23の外周面27との間の部分)である。また、各磁極部11には、板状の永久磁石13が、永久磁石13の厚さ方向が後述のd軸Dに沿うように配置されている。 As described above, the rotor core 23 has six magnetic poles 11, i.e., three N-pole magnetic poles 11N and three S-pole magnetic poles 11S, which are alternately arranged along the circumferential direction of the rotor core 23 by embedding the permanent magnets 13 therein. The N-pole magnetic poles 11N and S-pole magnetic poles 11S (hereinafter also referred to as magnetic poles 11) include the permanent magnets 13 and are the outer peripheral portion of the permanent magnets 13 in the radial direction of the rotor core 23 (the portion between the permanent magnets 13 and the outer peripheral surface 27 of the rotor core 23). In addition, the plate-shaped permanent magnets 13 are arranged in each magnetic pole portion 11 so that the thickness direction of the permanent magnets 13 is aligned with the d-axis D described below.

そして、本願の開示する電動機は、自然数をmとして、磁極部11(N極磁極部11NとS極磁極部11S)がなす極対の個数がm個、複数のティース部32の個数が3m個である。また、磁極部11の個数、すなわち極数は、2m個である。実施例の電動機1は一例として、極数が6個、極対の個数が3個、ティース部32の個数が9個である。 The electric motor disclosed in the present application has m pole pairs formed by the magnetic pole portions 11 (north pole magnetic pole portion 11N and south pole magnetic pole portion 11S), and 3m teeth portions 32, where m is a natural number. The number of magnetic pole portions 11, i.e., the number of poles, is 2m. As an example, the electric motor 1 of the embodiment has 6 poles, 3 pole pairs, and 9 teeth portions 32.

また、ロータ21の回転中心(ロータコア23の回転中心)Oを通る回転中心線に対して直交する平面(以下、直交平面とも言う。)において、ロータ21の周方向における磁極部11の中央(永久磁石13の中央)と、回転中心Oとを結ぶ直線をd軸Dとし、ロータ21の周方向に隣り合う磁極部11同士の間の中央と、回転中心Oとを結ぶ直線をq軸Qとする。回転中心Oを通る回転中心線は、シャフト3の軸方向に沿うシャフト3の中心線と一致する。ロータコア23は、ロータコア23の周方向に等間隔で回転中心Oから放射状に延びる複数のd軸Dと、ロータコア23の周方向に等間隔で回転中心Oから放射状に延びる複数のq軸Qと、を有する。 In addition, in a plane (hereinafter also referred to as an orthogonal plane) perpendicular to the rotation center line passing through the rotation center O of the rotor 21 (rotation center of the rotor core 23), the straight line connecting the center of the magnetic pole portion 11 (the center of the permanent magnet 13) in the circumferential direction of the rotor 21 and the rotation center O is defined as the d-axis D, and the straight line connecting the center between adjacent magnetic pole portions 11 in the circumferential direction of the rotor 21 and the rotation center O is defined as the q-axis Q. The rotation center line passing through the rotation center O coincides with the center line of the shaft 3 along the axial direction of the shaft 3. The rotor core 23 has multiple d-axes D extending radially from the rotation center O at equal intervals in the circumferential direction of the rotor core 23, and multiple q-axes Q extending radially from the rotation center O at equal intervals in the circumferential direction of the rotor core 23.

図3は、実施例におけるロータ21のロータコア23の要部を説明するための平面図である。図2及び図3に示すように、ロータコア23は、複数の非磁性部14a~14f、15a~15f(以下、非磁性部14、15と称する。)と、複数の溝部16、17と、非磁性部14、15と溝部16、17との間に形成された複数のブリッジ部18と、を有する。ここでは、磁石埋込孔12の両端側に形成された非磁性部14、15のうち、一方の非磁性部である第1非磁性部14(14a~14f)がロータ21の回転方向Rの前方側に位置し、他方の非磁性部である第2非磁性部15(15a~15f)が回転方向Rの後方側に位置するものとする。なお、ロータコア23の周方向におけるロータコア23の外周面27の形状の詳細については後述する。 Figure 3 is a plan view for explaining the main parts of the rotor core 23 of the rotor 21 in the embodiment. As shown in Figures 2 and 3, the rotor core 23 has a plurality of non-magnetic parts 14a to 14f, 15a to 15f (hereinafter referred to as non-magnetic parts 14, 15), a plurality of grooves 16, 17, and a plurality of bridge parts 18 formed between the non-magnetic parts 14, 15 and the grooves 16, 17. Here, of the non-magnetic parts 14, 15 formed on both ends of the magnet embedding hole 12, the first non-magnetic part 14 (14a to 14f) which is one of the non-magnetic parts is located on the front side in the rotation direction R of the rotor 21, and the second non-magnetic part 15 (15a to 15f) which is the other non-magnetic part is located on the rear side in the rotation direction R. Details of the shape of the outer peripheral surface 27 of the rotor core 23 in the circumferential direction of the rotor core 23 will be described later.

ロータコア23は、ロータコア23の周方向における永久磁石13の両端から連続するように、ロータコア23の径方向の外側に向かって、すなわちロータコア23の外周面27に向かって延びる非磁性部(フラックスバリア)14、15を有する。非磁性部14、15は、磁石埋込孔12に連続する空間部として形成されており、隣り合う磁極部11同士の間においてステータ22のヨーク部31を通過せずにティース部32の鍔部33を経由して磁極部11同士を循環する磁路が生じるのを非磁性部14、15によって防いでいる。言い換えると、ロータコア23には、ロータコア23の軸方向に貫通する貫通孔が形成されており、貫通孔において永久磁石13によって埋まる領域が磁石埋込孔12であり、貫通孔において永久磁石13によって埋まらない領域が空間部である非磁性部14、15である。 The rotor core 23 has non-magnetic parts (flux barriers) 14, 15 that extend radially outward from both ends of the permanent magnet 13 in the circumferential direction of the rotor core 23, i.e., toward the outer peripheral surface 27 of the rotor core 23. The non-magnetic parts 14, 15 are formed as spaces that continue to the magnet embedding holes 12, and prevent the generation of a magnetic path that circulates between the magnetic pole parts 11 via the flange parts 33 of the teeth parts 32 without passing through the yoke parts 31 of the stator 22 between adjacent magnetic pole parts 11. In other words, the rotor core 23 has a through hole that penetrates the rotor core 23 in the axial direction, and the area of the through hole that is filled with the permanent magnet 13 is the magnet embedding hole 12, and the area of the through hole that is not filled with the permanent magnet 13 is the non-magnetic parts 14, 15 that are spaces.

ロータコア23の外周面27には、ロータコア23の周方向に隣り合う磁極部11同士の間に、外周面27の一部がロータコア23の径方向に切り欠かれて窪んだ溝部16、17が、ロータコア23の回転中心線に沿って形成されている。言い換えると、溝部16、17は、ロータコア23の周方向において、隣り合う非磁性部14、15の間に位置しており、q軸Q上に配置されている。実施例における溝部16、17の内面形状の詳細については後述する。 Grooves 16, 17 are formed on the outer peripheral surface 27 of the rotor core 23 between adjacent magnetic pole portions 11 in the circumferential direction of the rotor core 23, with portions of the outer peripheral surface 27 cut out in the radial direction of the rotor core 23 to form recesses along the rotation centerline of the rotor core 23. In other words, the grooves 16, 17 are located between adjacent non-magnetic portions 14, 15 in the circumferential direction of the rotor core 23, and are arranged on the q-axis Q. Details of the inner surface shape of the grooves 16, 17 in the embodiment will be described later.

(ロータコアの特徴的な構造)
次に、実施例におけるロータコア23の特徴的な構造について説明する。実施例の特徴には、ロータコア23の周方向におけるロータコア23の外周面27の形状が含まれる。
(Characteristic structure of rotor core)
Next, a description will be given of a characteristic structure of the rotor core 23 in the embodiment. The characteristics of the embodiment include the shape of the outer circumferential surface 27 of the rotor core 23 in the circumferential direction of the rotor core 23.

(一極対外周面の形状)
図1~図3に示すように、ロータ21の回転中心線に直交する平面(図面の紙面である直交平面。以下、直交平面とも称する。)において、ロータコア23の外周面27のうち、1つの極対である一極対を形成する範囲のロータコア23の外周面27を、一極対外周面28とする。また、直交平面において、磁極部11(N極磁極部11NとS極磁極部11Sの組)がなす極対の個数をm個(mは自然数)とする。このとき、直交平面におけるロータコア23の外周面27の全体の形状は、1つの一極対外周面28の形状がロータコア23の周方向に対してm回繰り返されることで形成されている。つまり、直交平面において、m個の一極対外周面28のそれぞれは、ロータ21の回転中心Oに対して互いに回転対称となるように形成されている。言い換えれば、直交平面において、後述するq軸Qを基準としてロータコア23の外周面27を周方向にm等分したそれぞれが一極対外周面28であり、m個の一極対外周面28のそれぞれは互いに同じ形状である。これにより、ロータコア23とこのロータコア23に径方向で対向するステータコア24とで形成される磁束の経路も周期的にm回繰り返されることとなる。その結果、機械角で360/m[度]毎に、電気角では360[度]毎に、同じ磁束密度分布が周期的に繰り返されるため、ロータコア23が1回転する間で磁束密度分布が不規則に変動することで振動が増大してしまうのを、抑制できる。例えば、実施例のロータコア23の外周面27は、ロータコア23の全周において、一極対外周面28が3回繰り返して形成されている。
(Shape of one pole and outer periphery)
As shown in FIGS. 1 to 3, in a plane perpendicular to the rotation centerline of the rotor 21 (the orthogonal plane that is the paper surface of the drawings, hereinafter also referred to as the orthogonal plane), the outer circumferential surface 27 of the rotor core 23 in a range that forms one pole pair is defined as a one-pole pair outer circumferential surface 28. In addition, in the orthogonal plane, the number of pole pairs formed by the magnetic pole portion 11 (a set of the N pole magnetic pole portion 11N and the S pole magnetic pole portion 11S) is defined as m (m is a natural number). In this case, the overall shape of the outer circumferential surface 27 of the rotor core 23 in the orthogonal plane is formed by repeating the shape of one one-pole pair outer circumferential surface 28 m times in the circumferential direction of the rotor core 23. In other words, in the orthogonal plane, each of the m one-pole pair outer circumferential surfaces 28 is formed to be rotationally symmetrical with respect to the rotation center O of the rotor 21. In other words, in an orthogonal plane, the outer peripheral surface 27 of the rotor core 23 is divided into m equal parts in the circumferential direction based on the q-axis Q described later, and each of the m pole-pair outer peripheral surfaces 28 has the same shape. As a result, the path of the magnetic flux formed by the rotor core 23 and the stator core 24 radially opposed to the rotor core 23 is also periodically repeated m times. As a result, the same magnetic flux density distribution is periodically repeated every 360/m [degrees] in mechanical angle and every 360 [degrees] in electrical angle, so that it is possible to suppress an increase in vibration due to an irregular fluctuation in the magnetic flux density distribution during one rotation of the rotor core 23. For example, the outer peripheral surface 27 of the rotor core 23 in the embodiment is formed with the pole-pair outer peripheral surface 28 repeated three times around the entire circumference of the rotor core 23.

ここで、上述の直交平面において、非磁性部(第1非磁性部14、第2非磁性部15)の内周面のうち、ロータコア23の径方向で最も外周側に位置する箇所を外周端14E、15Eとする。また、ロータ21の回転中心Oと第1非磁性部14のロータコア23の径方向における外周端14Eとを通る直線を、第1境界線B1とする。また、ロータ21の回転中心Оと第2非磁性部15のロータコア23の径方向における外周端15Eを通る直線を、第2境界線B2とする。このとき、ロータコア23の各磁極部11の外周面27は、1つの磁極部11を通過する2つの境界線(第1境界線B1と第2境界線B2)の間の範囲に形成された磁極外周面29を有する。 Here, in the above-mentioned orthogonal plane, the inner peripheral surfaces of the nonmagnetic parts (first nonmagnetic part 14, second nonmagnetic part 15) are located at the outermost positions in the radial direction of the rotor core 23 as the outer peripheral ends 14E and 15E. Also, a straight line passing through the center of rotation O of the rotor 21 and the outer peripheral end 14E of the first nonmagnetic part 14 in the radial direction of the rotor core 23 is defined as the first boundary line B1. Also, a straight line passing through the center of rotation O of the rotor 21 and the outer peripheral end 15E of the second nonmagnetic part 15 in the radial direction of the rotor core 23 is defined as the second boundary line B2. At this time, the outer peripheral surface 27 of each magnetic pole part 11 of the rotor core 23 has a magnetic pole outer peripheral surface 29 formed in the range between two boundaries (first boundary line B1 and second boundary line B2) that pass through one magnetic pole part 11.

したがって、一極対外周面28は、ロータコア23の外周面27の周方向において、図3、図4に示すように、溝部17においてq軸Qを基準として回転方向Rの前方側に位置する溝部分の内面と、溝部17に対して回転方向Rの前方側に位置するN極磁極部11Nの磁極外周面29(以下、N極外周面29Nとも言う。)と、N極外周面29Nに対して回転方向Rの前方側に位置する1つの溝部16と、溝部16に対して回転方向Rの前方側に位置するS極磁極部11Sの磁極外周面29(以下、S極外周面29Sとも言う。)と、S極磁極部11Sに対して回転方向Rの前方側に位置する他の溝部17においてq軸Qを基準として回転方向Rの後方側に位置する溝部分の内面と、を含む一極対の範囲である。1つの磁極外周面29(N極外周面29NまたはS極外周面29S)は、外周面27における周方向に隣り合う2つのq軸Qの間に位置する外周面27の範囲のうち、溝部16、17を含まない磁極部11の範囲である。言い換えれば、各磁極外周面29(N極外周面29N及びS極外周面29S)はそれぞれ、外周面27の周方向で、1つの磁極部11を通過する2つの境界線(第1境界線B1、第2境界線B2)の間の範囲に形成された部分である。 Therefore, the one pole pair outer peripheral surface 28 is a range of one pole pair including, in the circumferential direction of the outer peripheral surface 27 of the rotor core 23, the inner surface of the groove portion located forward in the rotation direction R with respect to the q-axis Q in the groove portion 17, the magnetic pole outer peripheral surface 29 (hereinafter also referred to as the N-pole outer peripheral surface 29N) of the N-pole magnetic pole portion 11N located forward in the rotation direction R with respect to the groove portion 17, one groove portion 16 located forward in the rotation direction R with respect to the N-pole outer peripheral surface 29N, the magnetic pole outer peripheral surface 29 (hereinafter also referred to as the S-pole outer peripheral surface 29S) of the S-pole magnetic pole portion 11S located forward in the rotation direction R with respect to the groove portion 16, and the inner surface of the groove portion located rearward in the rotation direction R with respect to the q-axis Q in the other groove portion 17 located forward in the rotation direction R with respect to the S-pole magnetic pole portion 11S. One magnetic pole outer surface 29 (N-pole outer surface 29N or S-pole outer surface 29S) is the range of the magnetic pole portion 11 that does not include the grooves 16, 17, within the range of the outer surface 27 located between two circumferentially adjacent q axes Q on the outer surface 27. In other words, each magnetic pole outer surface 29 (N-pole outer surface 29N and S-pole outer surface 29S) is a portion formed in the range between two boundary lines (first boundary line B1, second boundary line B2) that pass through one magnetic pole portion 11 in the circumferential direction of the outer surface 27.

図4は、実施例におけるロータコア23の一極対を示す拡大図である。図3及び図4に示すように、直交平面において、N極磁極部11NのN極外周面29NとS極磁極部11SのS極外周面29Sは、N極磁極部11NとS極磁極部11Sのいずれか一方の磁極部をロータ21の回転中心Oまわりに60[度]、仮想的に回転させて、N極磁極部11NとS極磁極部11Sの他方の磁極部に重ねたときに互いに一致しない形状に形成されている。なお、仮想的に回転させる対象となる磁極部は、N極磁極部11NとS極磁極部11Sのどちらの磁極部でもよい。また、回転中心Оまわりに回転させる方向は、時計回りと反時計回りのどちらの方向でもよい。ここでは、N極磁極部11Nを反時計回りに60[度]仮想的に回転させてS極磁極部11Sに重ねたと仮定して説明する。 Figure 4 is an enlarged view showing one pole pair of the rotor core 23 in the embodiment. As shown in Figures 3 and 4, in the orthogonal plane, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N and the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S are formed in such a shape that they do not match each other when either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S is virtually rotated 60 degrees around the rotation center O of the rotor 21 and placed on the other magnetic pole portion of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S. The magnetic pole portion to be virtually rotated may be either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S. The direction of rotation around the rotation center O may be either clockwise or counterclockwise. Here, the explanation will be given assuming that the N-pole magnetic pole portion 11N is virtually rotated 60 degrees counterclockwise and placed on the S-pole magnetic pole portion 11S.

従来のロータコア(後述する比較例を示す図7参照)では一般的に、隣り合う磁極部(S極磁極部とN極磁極部)同士において、各磁極部の磁極外周面を含む一極対外周面の形状が、q軸Qに対して対称な形状である。そのため、1つの極対をなすN極永久磁石とS極永久磁石において、N極永久磁石とこのN極永久磁石に近接するティース部との間を通過する磁束密度分布と、S極永久磁石とこのS極永久磁石に近接するティース部との間を通過する磁束密分布とが、q軸Qに対して対称にはならない。 In conventional rotor cores (see Figure 7 for a comparative example described later), the shape of the outer circumferential surface of a pole pair, including the outer circumferential surface of each magnetic pole part, between adjacent magnetic pole parts (south pole magnetic pole part and north pole magnetic pole part) is generally symmetrical with respect to the q-axis Q. Therefore, in the north pole permanent magnet and south pole permanent magnet that form one pole pair, the magnetic flux density distribution passing between the north pole permanent magnet and the teeth part adjacent to this north pole permanent magnet, and the magnetic flux density distribution passing between the south pole permanent magnet and the teeth part adjacent to this south pole permanent magnet are not symmetrical with respect to the q-axis Q.

これに対して、実施例におけるロータコア23は、1つの一極対外周面28に着目したとき、この一極対外周面28がq軸Qに対して互いに異なる形状に形成されることにより、1つの極対をなすN極永久磁石13とS極永久磁石13において、N極永久磁石13とこのN極永久磁石に近接するティース部32との間を通過する磁束密度分布と、S極永久磁石13とこのS極永久磁石13に近接するティース部32との間を通過する磁束密分布とを、q軸Qに対して対称に近づけることが可能になる。そのため、一極対外周面28の範囲においてロータコア23とティース部32との間に形成される空隙(エアギャップ)の位置における磁束密度分布(空隙位置における径方向への磁束密度[T]を周方向に亘って測定または解析したもの)を正弦波に近づけることができる。 In contrast, in the rotor core 23 in the embodiment, when focusing on one pole-pair outer peripheral surface 28, this pole-pair outer peripheral surface 28 is formed in a different shape with respect to the q-axis Q, so that in the N-pole permanent magnet 13 and the S-pole permanent magnet 13 that form one pole pair, the magnetic flux density distribution passing between the N-pole permanent magnet 13 and the teeth portion 32 adjacent to this N-pole permanent magnet, and the magnetic flux density distribution passing between the S-pole permanent magnet 13 and the teeth portion 32 adjacent to this S-pole permanent magnet 13 can be made to be close to symmetrical with respect to the q-axis Q. Therefore, the magnetic flux density distribution at the position of the air gap formed between the rotor core 23 and the teeth portion 32 in the range of the pole-pair outer peripheral surface 28 (the magnetic flux density [T] in the radial direction at the air gap position measured or analyzed over the circumferential direction) can be made to be close to a sine wave.

例えば、実施例では、ロータ21の回転中心Oからロータコア23の外周面27までの距離が変化する径変化領域A3(後述)の曲率半径rが、N極外周面29Nの径変化領域A3とS極外周面29Sの径変化領域A3とでそれぞれ異なる。これにより、一極対外周面28がq軸Qに対して互いに異なる形状を、容易に実現できる。 For example, in the embodiment, the radius of curvature r of the radius change region A3 (described later) where the distance from the center of rotation O of the rotor 21 to the outer circumferential surface 27 of the rotor core 23 changes is different between the radius change region A3 of the N-pole outer circumferential surface 29N and the radius change region A3 of the S-pole outer circumferential surface 29S. This makes it easy to realize that the pole-pair outer circumferential surfaces 28 have different shapes relative to the q-axis Q.

なお、N極磁極部11N及びS極磁極部11Sの一方の磁極部11を他方の磁極部11に重ねるときに一方の磁極部11を仮想的に回転させる回転中心Oまわりの回転角度は、360/(2m)[度]である。(極対の個数をm個とする。)また、以下の説明において、ロータ21の回転中心Oまわりに仮想的に回転させる場合の回転角度についても360/(2m)[度]である。例えば、実施例では、極対の個数がm=3であるため、N極磁極部11Nをロータ21の回転中心Oまわりに仮想的に回転させてS極磁極部11Sに重ねるとき、回転角度は360/6=60[度]である。 When one of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S is overlapped with the other magnetic pole portion 11, the rotation angle of one magnetic pole portion 11 around the rotation center O is 360/(2m) [degrees]. (The number of pole pairs is m.) In the following description, the rotation angle when the magnetic pole portion 11 is virtually rotated around the rotation center O of the rotor 21 is also 360/(2m) [degrees]. For example, in the embodiment, since the number of pole pairs is m=3, when the N-pole magnetic pole portion 11N is virtually rotated around the rotation center O of the rotor 21 and overlapped with the S-pole magnetic pole portion 11S, the rotation angle is 360/6=60 [degrees].

(磁極外周面の形状)
図5は、実施例におけるロータコア23の各磁極部11の磁極外周面29を示す模式図である。図6は、実施例におけるロータコア23の磁極外周面29の形状を説明するための模式図である。
(Shape of the magnetic pole outer surface)
Fig. 5 is a schematic diagram showing the magnetic pole outer peripheral surface 29 of each magnetic pole portion 11 of the rotor core 23 in the embodiment. Fig. 6 is a schematic diagram for explaining the shape of the magnetic pole outer peripheral surface 29 of the rotor core 23 in the embodiment.

図5及び図に6示すように、直交平面において、N極磁極部11NのN極外周面29Nが、このN極磁極部11Nにおけるd軸DであるN極d軸DNに対して非対称な形状に形成されており、S極磁極部11SのS極外周面29Sが、このS極磁極部11Sにおけるd軸であるS極d軸DSに対して非対称な形状に形成されている。 As shown in Figures 5 and 6, in the orthogonal plane, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N is formed in an asymmetric shape with respect to the N-pole d-axis DN, which is the d-axis D of this N-pole magnetic pole portion 11N, and the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S is formed in an asymmetric shape with respect to the S-pole d-axis DS, which is the d-axis of this S-pole magnetic pole portion 11S.

このように、各磁極部11の範囲に形成される磁極外周面29の形状を工夫することで、1つの極対をなすN極永久磁石13とS極永久磁石13において、N極永久磁石13とこのN極永久磁石13に近接するティース部32との間を通過する磁束密度分布と、S極永久磁石13とこのS極永久磁石13に近接するティース部32との間を通過する磁束密分布とを、q軸Qに対して更に対称に近づけることが可能になる。そのため、上述した一極対外周面28の形状の工夫によって得られる効果に加えて、一極対外周面28の範囲においてロータコア23とティース部32との間に形成される空隙(エアギャップ)での磁束密度分布を正弦波に更に近づけることができる。 In this way, by devising the shape of the magnetic pole outer peripheral surface 29 formed within the range of each magnetic pole portion 11, it is possible to make the magnetic flux density distribution passing between the N-pole permanent magnet 13 and the teeth portion 32 adjacent to the N-pole permanent magnet 13, and the magnetic flux density distribution passing between the S-pole permanent magnet 13 and the teeth portion 32 adjacent to the S-pole permanent magnet 13, in one pole pair, more symmetrical with respect to the q-axis Q. Therefore, in addition to the effect obtained by devising the shape of the one pole pair outer peripheral surface 28 described above, the magnetic flux density distribution in the gap (air gap) formed between the rotor core 23 and the teeth portion 32 within the range of the one pole pair outer peripheral surface 28 can be made more sine wave.

(N極外周面の形状)
具体的には、N極磁極部11NのN極外周面29Nは、図5に示すように、N極d軸DNに対してロータ21の回転方向Rの前方側に位置するN極前方側外周面29N-Fと、N極d軸DNに対して回転方向Rの後方側に位置するN極後方側外周面29N-Rと、を有する。
(Shape of N-pole outer periphery)
Specifically, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N has an N-pole front outer peripheral surface 29N-F located on the front side of the rotational direction R of the rotor 21 relative to the N-pole d-axis DN, and an N-pole rear outer peripheral surface 29N-R located on the rear side of the rotational direction R relative to the N-pole d-axis DN, as shown in Figure 5.

図6は、ロータコア23の直交平面において磁極部11をd軸Dに沿って仮想的に折り返して、前方側外周面29-Fを後方側外周面29-Rに仮想的に重ねた図である。ここではN極磁極部11Nを仮想的に折り返した場合について説明する。図6に示すように、ロータコア23の直交平面においてN極磁極部11NをN極d軸DNに沿って仮想的に折り返して重ねたとき、N極前方側外周面29N-Fは、ロータコア23の径方向においてN極後方側外周面29N-Rよりも内側に位置する小径外周面34を有している。一方、N極後方側外周面29N-Rは、ロータコア23の径方向においてN極前方側外周面29N-Fよりも内側に位置する部分を有しない。言い換えると、N極前方側外周面29N-Rは、N極後方側外周面29N-Rと重なる部分(重複外周面35)と、N極後方側外周面29N-Rよりも内周側に位置する部分(小径外周面34)と、のみを有する。そして、N極後方側外周面29N-Rの方から見た場合、N極後方側外周面29N-Rは、N極前方側外周面29N-Fと重なる部分(重複外周面35)と、N極前方側外周面29N-Fよりも外周側に位置する部分(大径外周面36)と、のみを有する。 Figure 6 shows the magnetic pole portion 11 virtually folded back along the d-axis D in the orthogonal plane of the rotor core 23, and the front outer peripheral surface 29-F virtually overlaps with the rear outer peripheral surface 29-R. Here, we will explain the case where the N-pole magnetic pole portion 11N is virtually folded back. As shown in Figure 6, when the N-pole magnetic pole portion 11N is virtually folded back and overlapped along the N-pole d-axis DN in the orthogonal plane of the rotor core 23, the N-pole front outer peripheral surface 29N-F has a small diameter outer peripheral surface 34 located inside the N-pole rear outer peripheral surface 29N-R in the radial direction of the rotor core 23. On the other hand, the N-pole rear outer peripheral surface 29N-R does not have a portion located inside the N-pole front outer peripheral surface 29N-F in the radial direction of the rotor core 23. In other words, the N pole front outer peripheral surface 29N-R only has a portion that overlaps with the N pole rear outer peripheral surface 29N-R (overlapping outer peripheral surface 35) and a portion that is located more inward than the N pole rear outer peripheral surface 29N-R (small diameter outer peripheral surface 34). When viewed from the N pole rear outer peripheral surface 29N-R, the N pole rear outer peripheral surface 29N-R only has a portion that overlaps with the N pole front outer peripheral surface 29N-F (overlapping outer peripheral surface 35) and a portion that is more outward than the N pole front outer peripheral surface 29N-F (large diameter outer peripheral surface 36).

(S極外周面の形状)
また、上述したN極磁極外周面29Nと同様に、図5に示すように、S極磁極部11SのS極外周面29Sは、S極d軸DSに対してロータ21の回転方向Rの前方側に位置するS極前方側外周面29S-Fと、S極d軸DSに対して回転方向Rの後方側に位置するS極後方側外周面29S-Rと、を有する。
(Shape of S pole outer surface)
Also, similar to the N-pole magnetic pole outer peripheral surface 29N described above, as shown in Figure 5, the S-pole magnetic pole portion 11S's S-pole outer peripheral surface 29S-F has an S-pole front outer peripheral surface 29S-F located on the front side of the rotational direction R of the rotor 21 relative to the S-pole d-axis DS, and an S-pole rear outer peripheral surface 29S-R located on the rear side of the rotational direction R relative to the S-pole d-axis DS.

S極磁極部11Sを仮想的に折り返した場合について説明する。図6に示すように、ロータコア23の直交平面においてS極磁極部11SをS極d軸DSに沿って仮想的に折り返して重ねたとき、S極前方側外周面29S-Fは、ロータコア23の径方向においてS極後方側外周面29S-Rよりも内側に位置する小径外周面34を有している。一方、S極後方側外周面29S-Rは、ロータコア23の径方向においてS極前方側外周面29S-Fよりも内側に位置する部分を有しない。言い換えると、S極前方側外周面29S-Fは、S極後方側外周面29S-Rと重なる部分(重複外周面35)と、S極後方側外周面29S-Rよりも内周側に位置する部分(小径外周面34)と、のみを有する。そして、S極後方側外周面29S-Rの方から見た場合、S極後方側外周面29S-Rは、S極前方側外周面29S-Fと重なる部分(重複外周面35)と、S極前方側外周面29S-Fよりも外周側に位置する部分(大径外周面36)と、のみを有する。 The case where the S-pole magnetic pole portion 11S is virtually folded back will be described. As shown in FIG. 6, when the S-pole magnetic pole portion 11S is virtually folded back and stacked along the S-pole d-axis DS in the orthogonal plane of the rotor core 23, the S-pole front outer peripheral surface 29S-F has a small diameter outer peripheral surface 34 located inside the S-pole rear outer peripheral surface 29S-R in the radial direction of the rotor core 23. On the other hand, the S-pole rear outer peripheral surface 29S-R does not have a portion located inside the S-pole front outer peripheral surface 29S-F in the radial direction of the rotor core 23. In other words, the S-pole front outer peripheral surface 29S-F only has a portion that overlaps with the S-pole rear outer peripheral surface 29S-R (overlapping outer peripheral surface 35) and a portion located on the inner side of the S-pole rear outer peripheral surface 29S-R (small diameter outer peripheral surface 34). When viewed from the S pole rear outer peripheral surface 29S-R, the S pole rear outer peripheral surface 29S-R only has a portion that overlaps with the S pole front outer peripheral surface 29S-F (overlapping outer peripheral surface 35) and a portion that is located further outboard than the S pole front outer peripheral surface 29S-F (large diameter outer peripheral surface 36).

(N極外周面とS極外周面との関係)
また、図3及び図4に示すように、直交平面において、N極後方側外周面29N-RとS極後方側外周面29S-Rは、ロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてN極磁極部11NとS極磁極部11Sとを重ねたときに互いに一致しない形状に形成されている。
(Relationship between the outer circumferential surface of the north pole and the outer circumferential surface of the south pole)
Also, as shown in Figures 3 and 4, in an orthogonal plane, the N-pole rear side outer peripheral surface 29N-R and the S-pole rear side outer peripheral surface 29S-R are formed in shapes that do not coincide with each other when the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S are overlapped by virtually rotating the rotor 21 360/(2 m) [degrees] around the rotation center O.

具体的には、ロータコア23の直交平面において、N極後方側外周面29N-Rをロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてS極後方側外周面29S-Rに重ねたとき、S極後方側外周面29S-Rは、ロータコア23の径方向においてN極後方側外周面29N-Rよりも内側に位置する小径外周面34(図3参照)を有し、かつ、N極後方側外周面29N-Rは、ロータコア23の径方向においてS極後方側外周面29S-Rよりも内側に位置する部分を有しない。言い換えると、S極後方側外周面29S-Rは、N極後方側外周面29N-Rと重なる部分(重複外周面35)と、N極後方側外周面29N-Rよりも内周側に位置する部分(小径外周面34)と、のみを有する。N極後方側外周面29N-Rは、S極後方側外周面29S-Rと重なる部分(重複外周面35)と、S極後方側外周面29S-Rよりも外周側に位置する部分(大径外周面36)と、のみを有する。 Specifically, when the N-pole rear outer peripheral surface 29N-R is virtually rotated 360/(2 m) [degrees] around the center of rotation O of the rotor 21 in the orthogonal plane of the rotor core 23 and overlapped with the S-pole rear outer peripheral surface 29S-R, the S-pole rear outer peripheral surface 29S-R has a small diameter outer peripheral surface 34 (see FIG. 3) located inside the N-pole rear outer peripheral surface 29N-R in the radial direction of the rotor core 23, and the N-pole rear outer peripheral surface 29N-R does not have a portion located inside the S-pole rear outer peripheral surface 29S-R in the radial direction of the rotor core 23. In other words, the S-pole rear outer peripheral surface 29S-R only has a portion that overlaps with the N-pole rear outer peripheral surface 29N-R (overlapping outer peripheral surface 35) and a portion (small diameter outer peripheral surface 34) located on the inner side of the N-pole rear outer peripheral surface 29N-R. The N pole rear outer peripheral surface 29N-R only has a portion that overlaps with the S pole rear outer peripheral surface 29S-R (overlapping outer peripheral surface 35) and a portion that is located further outward than the S pole rear outer peripheral surface 29S-R (large diameter outer peripheral surface 36).

あるいは、これとは逆に、ロータコア23の直交平面において、N極後方側外周面29N-Rをロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてS極後方側外周面29S-Rに重ねたとき、N極後方側外周面29N-Rは、ロータコア23の径方向においてS極後方側外周面29S-Rよりも内側に位置する小径外周面(図示せず)を有し、かつ、S極後方側外周面29S-Rは、ロータコア23の径方向においてN極後方側外周面29N-Rよりも内側に位置する部分を有しなくてもよい。言い換えると、N極後方側外周面29N-Rは、S極後方側外周面29S-Rと重なる部分(重複外周面35)と、S極後方側外周面29S-Rよりも内周側に位置する部分(小径外周面34)と、を有するように形成されてもよい。S極後方側外周面29S-Rは、N極後方側外周面29N-Rと重なる部分(重複外周面35)と、N極後方側外周面29N-Rよりも外周側に位置する部分(大径外周面36)と、のみを有するように形成されてもよい。 Alternatively, conversely, when the N-pole rear outer peripheral surface 29N-R is virtually rotated 360/(2 m) [degrees] around the center of rotation O of the rotor 21 in the orthogonal plane of the rotor core 23 and overlapped with the S-pole rear outer peripheral surface 29S-R, the N-pole rear outer peripheral surface 29N-R has a small diameter outer peripheral surface (not shown) located inside the S-pole rear outer peripheral surface 29S-R in the radial direction of the rotor core 23, and the S-pole rear outer peripheral surface 29S-R does not have to have a portion located inside the N-pole rear outer peripheral surface 29N-R in the radial direction of the rotor core 23. In other words, the N-pole rear outer peripheral surface 29N-R may be formed to have a portion overlapping with the S-pole rear outer peripheral surface 29S-R (overlapping outer peripheral surface 35) and a portion located on the inner side of the S-pole rear outer peripheral surface 29S-R (small diameter outer peripheral surface 34). The S pole rear outer peripheral surface 29S-R may be formed to have only a portion that overlaps with the N pole rear outer peripheral surface 29N-R (overlapping outer peripheral surface 35) and a portion that is located further outward than the N pole rear outer peripheral surface 29N-R (large diameter outer peripheral surface 36).

例えば、実施例では、ロータ21の回転中心Oからロータコア23の外周面までの距離が変化する径変化領域A3の曲率半径rが、N極外周面29Nの径変化領域A3とS極外周面29Sの径変化領域A3とで互いに異なる。これにより、N極磁極部11NとS極磁極部11Sのいずれか一方の磁極部をロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させて、N極磁極部11NとS極磁極部11Sのいずれか他方の磁極部に重ねたときに互いに一致しない形状を、容易に実現できる。 For example, in the embodiment, the radius of curvature r of the radius change area A3 where the distance from the center of rotation O of the rotor 21 to the outer circumferential surface of the rotor core 23 changes is different between the radius change area A3 of the N-pole outer circumferential surface 29N and the radius change area A3 of the S-pole outer circumferential surface 29S. This makes it easy to virtually rotate either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S by 360/(2 m) [degrees] around the center of rotation O of the rotor 21, and to create shapes that do not match when placed over the other magnetic pole portion of either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S.

また同様に、ロータコア23の直交平面において、N極前方側外周面29N-FとS極前方側外周面29S-Fは、ロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてN極磁極部11NとS極磁極部11Sとを重ねたときに互いに一致しない形状に形成されている(図3参照)。 Similarly, in the orthogonal plane of the rotor core 23, the N-pole front outer peripheral surface 29N-F and the S-pole front outer peripheral surface 29S-F are formed in shapes that do not coincide with each other when the rotor 21 is virtually rotated 360/(2 m) [degrees] around the center of rotation O to overlap the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S (see Figure 3).

具体的には、ロータコア23の直交平面において、N極前方側外周面29N-Fをロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてS極前方側外周面29S-Fに重ねたとき、S極前方側外周面29S-Fは、ロータコア23の径方向においてN極前方側外周面29N-Fよりも内側に位置する小径外周面34(図3参照)を有し、かつ、N極前方側外周面29N-Fは、ロータコア23の径方向においてS極前方側外周面29S-Fよりも内側に位置する部分を有しない。言い換えると、S極前方側外周面29S-Fは、N極前方側外周面29N-Fと重なる部分(重複外周面35)と、N極前方側外周面29N-Fよりも内周側に位置する部分(小径外周面34)と、のみを有する。N極前方側外周面29N-Fは、S極前方側外周面29S-Fと重なる部分(重複外周面35)と、S極前方側外周面29S-Fよりも外周側に位置する部分(大径外周面36)と、のみを有する。 Specifically, when the N-pole front outer peripheral surface 29N-F is virtually rotated 360/(2 m) degrees around the center of rotation O of the rotor 21 in the orthogonal plane of the rotor core 23 and overlapped with the S-pole front outer peripheral surface 29S-F, the S-pole front outer peripheral surface 29S-F has a small diameter outer peripheral surface 34 (see FIG. 3) located inside the N-pole front outer peripheral surface 29N-F in the radial direction of the rotor core 23, and the N-pole front outer peripheral surface 29N-F does not have a portion located inside the S-pole front outer peripheral surface 29S-F in the radial direction of the rotor core 23. In other words, the S-pole front outer peripheral surface 29S-F only has a portion that overlaps with the N-pole front outer peripheral surface 29N-F (overlapping outer peripheral surface 35) and a portion (small diameter outer peripheral surface 34) located on the inner side of the N-pole front outer peripheral surface 29N-F. The N pole front outer peripheral surface 29N-F only has a portion that overlaps with the S pole front outer peripheral surface 29S-F (overlapping outer peripheral surface 35) and a portion that is located further outboard than the S pole front outer peripheral surface 29S-F (large diameter outer peripheral surface 36).

あるいは、これとは逆に、ロータコア23の直交平面において、N極前方側外周面29N-Fをロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてS極前方側外周面29S-Fに重ねたとき、N極前方側外周面29N-Fは、ロータコア23の径方向においてS極前方側外周面29S-Fよりも内側に位置する小径外周面(図示せず)を有し、かつ、S極前方側外周面29S-Fは、ロータコア23の径方向においてN極前方側外周面29N-Fよりも内側に位置する部分を有しなくてもよい。言い換えると、N極前方側外周面29N-Fは、S極前方側外周面29S-Fと重なる部分(重複外周面35)と、S極前方側外周面29S-Fよりも内周側に位置する部分(小径外周面34)と、を有するように形成されてもよい。S極前方側外周面29S-Fは、N極前方側外周面29N-Fと重なる部分(重複外周面35)と、N極前方側外周面29N-Fよりも外周側に位置する部分(大径外周面36)と、のみを有するように形成されてもよい。 Alternatively, conversely, when the N-pole front outer peripheral surface 29N-F is virtually rotated 360/(2 m) [degrees] around the rotation center O of the rotor 21 in the orthogonal plane of the rotor core 23 and overlapped with the S-pole front outer peripheral surface 29S-F, the N-pole front outer peripheral surface 29N-F has a small diameter outer peripheral surface (not shown) located inside the S-pole front outer peripheral surface 29S-F in the radial direction of the rotor core 23, and the S-pole front outer peripheral surface 29S-F does not have to have a portion located inside the N-pole front outer peripheral surface 29N-F in the radial direction of the rotor core 23. In other words, the N-pole front outer peripheral surface 29N-F may be formed to have a portion (overlapping outer peripheral surface 35) that overlaps with the S-pole front outer peripheral surface 29S-F and a portion (small diameter outer peripheral surface 34) that is located on the inner side of the S-pole front outer peripheral surface 29S-F. The south pole front outer peripheral surface 29S-F may be formed to have only a portion that overlaps with the north pole front outer peripheral surface 29N-F (overlapping outer peripheral surface 35) and a portion that is located further outward than the north pole front outer peripheral surface 29N-F (large diameter outer peripheral surface 36).

例えば、実施例では、ロータ21の回転中心Oからロータコア23の外周面までの距離が変化する径変化領域A3の曲率半径rが、N極外周面29Nの径変化領域A3とS極外周面29Sの径変化領域A3とで互いに異なる。これにより、N極磁極部11NとS極磁極部11Sのいずれか一方の磁極部をロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させて、N極磁極部11NとS極磁極部11Sのいずれか他方の磁極部に重ねたときに互いに一致しない形状を、容易に実現できる。 For example, in the embodiment, the radius of curvature r of the radius change area A3 where the distance from the center of rotation O of the rotor 21 to the outer circumferential surface of the rotor core 23 changes is different between the radius change area A3 of the N-pole outer circumferential surface 29N and the radius change area A3 of the S-pole outer circumferential surface 29S. This makes it easy to virtually rotate either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S by 360/(2 m) [degrees] around the center of rotation O of the rotor 21, and to create shapes that do not match when placed over the other magnetic pole portion of either the N-pole magnetic pole portion 11N or the S-pole magnetic pole portion 11S.

直交平面において、ロータコア23の磁極外周面29は、図3に示すように、d軸Dから溝部16、17に近づくに従って、ロータ21の回転中心Oからの距離が徐々に小さくなるように形成されている。 In the orthogonal plane, the magnetic pole outer peripheral surface 29 of the rotor core 23 is formed so that the distance from the center of rotation O of the rotor 21 gradually decreases as it approaches the grooves 16 and 17 from the d-axis D, as shown in FIG. 3.

具体的には、ロータコア23の直交平面において、ロータコア23の磁極外周面29の各々は、図3に示すように、d軸D上の位置でロータ21の回転中心Oからの距離(半径)が最大の外径Lとなる。また、直交平面において、N極磁極部11NのN極外周面29NとS極磁極部11SのS極外周面29Sは、d軸D上の位置で回転中心Oからの距離、すなわち外径Lが等しくなる。 Specifically, in the orthogonal plane of the rotor core 23, each of the magnetic pole outer peripheral surfaces 29 of the rotor core 23 has a maximum outer diameter L, which is the distance (radius) from the center of rotation O of the rotor 21 at a position on the d-axis D, as shown in FIG. 3. Also, in the orthogonal plane, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N and the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S have the same distance from the center of rotation O, i.e., the same outer diameter L, at a position on the d-axis D.

また、ロータコア23の外周面27は、q軸Qが溝部16を通るように溝部16の内面16aが形成された溝部領域A1と、q軸Qが溝部17を通るように溝部17の内面17aが形成された溝部領域A1と、を有する。ここで、溝部領域A1は、例えば、直交平面において、溝部16(溝部17)の内面16a(内面17a)に接する接線(図示せず)とq軸Qとが、溝部16(溝部17)の内側でなす角度が45[度]以下になる領域である。言い換えると、直交平面において、径変化領域A3は、溝部16(溝部17)側の一端に接する接線とq軸Qとが、溝部16(溝部17)の内側でなす角度が45[度]を超える領域である。 The outer peripheral surface 27 of the rotor core 23 has a groove region A1 in which the inner surface 16a of the groove 16 is formed so that the q-axis Q passes through the groove 16, and a groove region A1 in which the inner surface 17a of the groove 17 is formed so that the q-axis Q passes through the groove 17. Here, the groove region A1 is, for example, a region in which, in an orthogonal plane, the angle between a tangent (not shown) tangent to the inner surface 16a (inner surface 17a) of the groove 16 (groove 17) and the q-axis Q on the inside of the groove 16 (groove 17) is 45 degrees or less. In other words, in an orthogonal plane, the radius change region A3 is a region in which the angle between a tangent tangent to one end of the groove 16 (groove 17) and the q-axis Q on the inside of the groove 16 (groove 17) exceeds 45 degrees.

図3及び図5に示すように、磁極外周面29は、d軸Dが通る位置に形成されてロータ21の回転中心Oからの距離が一定の径一定領域A2と、溝部領域A1と径一定領域A2との間に形成されてロータ21の回転中心Oからの距離が変化する径変化領域A3と、を有する。径一定領域A2は、回転中心Oからの最大曲率半径rmとなる曲率半径で形成される最大曲率半径領域である。径変化領域A3は、径一定領域A2における回転中心Oからの最大曲率半径rmよりも小さい複数の曲率半径で形成されている。 As shown in Figures 3 and 5, the magnetic pole outer peripheral surface 29 has a constant diameter region A2 formed at a position where the d-axis D passes and has a constant distance from the center of rotation O of the rotor 21, and a diameter change region A3 formed between the groove region A1 and the constant diameter region A2 and has a variable distance from the center of rotation O of the rotor 21. The constant diameter region A2 is a maximum radius of curvature region formed with a radius of curvature that is the maximum radius of curvature rm from the center of rotation O. The radius change region A3 is formed with multiple radii of curvature smaller than the maximum radius of curvature rm from the center of rotation O in the constant diameter region A2.

図3では、径一定領域A2のうち、N極磁極部11N側を径一定領域An2とすると共に、この径一定領域An2のうち、回転方向Rの前方側を径一定領域An2―F、回転方向Rの後方側を径一定領域An2―Rとする。同様に、径一定領域A2のうち、S極磁極部11S側を径一定領域As2とすると共に、この径一定領域As2のうち、回転方向Rの前方側を径一定領域As2―F、回転方向Rの後方側を径一定領域As2―Rとする。 In FIG. 3, the constant diameter region A2 on the side of the N-pole magnetic pole portion 11N is referred to as the constant diameter region An2, the front side of this constant diameter region An2 in the direction of rotation R is referred to as the constant diameter region An2-F, and the rear side of this constant diameter region An2 in the direction of rotation R is referred to as the constant diameter region An2-R. Similarly, the constant diameter region A2 on the side of the S-pole magnetic pole portion 11S is referred to as the constant diameter region As2, the front side of this constant diameter region As2 in the direction of rotation R is referred to as the constant diameter region As2-F, and the rear side of this constant diameter region As2 in the direction of rotation R is referred to as the constant diameter region As2-R.

径変化領域A3を形成する複数の曲率半径は、溝部16、17に近づくに従って曲率半径rが徐々に小さくなる。ここでは説明の単純化のために、N極前方側外周面29N-Fの径変化領域A3を形成する曲率半径の組合せと、N極後方側外周面29N-Rの径変化領域A3を形成する曲率半径の組合せとが、それぞれ等しいものとして説明する。すなわち、前方側径変化領域A3-Fの第1曲率半径r1-Fと、後方側径変化領域A3-Rの第1曲率半径r1-Rとは、r1-F=r1-R=r1とし、前方側径変化領域A3-Fの第2曲率半径r2-Fと、後方側径変化領域A3-Fの第2曲率半径r2-Rとは、r2-F=r2-R=r2とする。一例として径変化領域A3は、最大曲率半径rmよりも小さい第1曲率半径r1で形成された第1領域A3-1と、第1曲率半径r1よりも小さい第2曲率半径r2で形成された第2領域A3-2と、を有する。径変化領域A3には、径一定領域A2から溝部領域A1に向かって、第1領域A3-1、第2領域A3-2の順に連続して形成されている。なお、実施例1では、第1曲率半径r1と第2曲率半径r2の大きさの差が比較的小さいため、第1領域A3-1と第2領域A3-2とが滑らかに連続している。各曲率半径r(r1、r2)の中心Or(Оr1,Оr2)は、曲率半径が小さくなるに従ってロータコア23の外周面27に近づくように配置されている。なお、複数の曲率半径の種類は、2種類に限定されない。 The multiple radii of curvature forming the radius change region A3 gradually decrease in radius of curvature r as they approach the grooves 16 and 17. For the sake of simplicity, the combination of radii of curvature forming the radius change region A3 of the N-pole front outer peripheral surface 29N-F and the combination of radii of curvature forming the radius change region A3 of the N-pole rear outer peripheral surface 29N-R are assumed to be equal. That is, the first radius of curvature r1-F of the front side radius change region A3-F and the first radius of curvature r1-R of the rear side radius change region A3-R are set as r1-F = r1-R = r1, and the second radius of curvature r2-F of the front side radius change region A3-F and the second radius of curvature r2-R of the rear side radius change region A3-F are set as r2-F = r2-R = r2. As an example, the radius change region A3 has a first region A3-1 formed with a first radius of curvature r1 smaller than the maximum radius of curvature rm, and a second region A3-2 formed with a second radius of curvature r2 smaller than the first radius of curvature r1. In the radius change region A3, the first region A3-1 and the second region A3-2 are formed in this order from the constant diameter region A2 toward the groove region A1. In the first embodiment, the difference between the first radius of curvature r1 and the second radius of curvature r2 is relatively small, so that the first region A3-1 and the second region A3-2 are smoothly continuous. The center Or (Or1, Or2) of each radius of curvature r (r1, r2) is arranged so that it approaches the outer circumferential surface 27 of the rotor core 23 as the radius of curvature becomes smaller. The number of types of the multiple radii of curvature is not limited to two.

図3では、前方側径変化領域A3-Fの第2曲率半径r2-Fのうち、N極磁極部11N側を第2曲率半径rn2-Fとし、S極磁極部11S側を第2曲率半径rs2-Fとする。同様に、後方側径変化領域A3-Rの第2曲率半径r2-Rにうち、N極磁極部11N側を第2曲率半径rn2-Rとし、S極磁極部11S側を第2曲率半径rs2-Rとする。なお、図3では、第1曲率半径r1の図示を省略する。 In FIG. 3, of the second radius of curvature r2-F of the front radius change region A3-F, the N-pole magnetic pole portion 11N side is the second radius of curvature rn2-F, and the S-pole magnetic pole portion 11S side is the second radius of curvature rs2-F. Similarly, of the second radius of curvature r2-R of the rear radius change region A3-R, the N-pole magnetic pole portion 11N side is the second radius of curvature rn2-R, and the S-pole magnetic pole portion 11S side is the second radius of curvature rs2-R. Note that the first radius of curvature r1 is not shown in FIG. 3.

また、径一定領域A2は、図5に示すように、d軸Dに対してロータ21の回転方向Rの前方側に位置する前方側一定領域A2-Fと、d軸Dに対して回転方向Rの後方側に位置する後方側一定領域A2-Rと、を有する。前方側一定領域A2-Fの周方向の長さは、後方側一定領域A2-Rの周方向の長さよりも小さい。これにより、各磁極外周面29において、前方側外周面29-Fの範囲で形成される空隙(エアギャップ)がq軸Qに向かうに従って徐々に大きくなると共に、後方側外周面29-Rの範囲で形成される空隙(エアギャップ)がq軸Qに向かうに従って徐々に大きくなる比率を、前方側外周面29―Fの範囲で形成される空隙(エアギャップ)がq軸Qに向かうにしたがって徐々に大きくなる比率よりも、小さくする形状を容易に得られる。すなわち、前方側一定領域A2-Fが、後方側一定領域A2-Rよりも小さいことにより、各直交平面においてN極磁極部11NをN極d軸DNに沿って仮想的に折り返して、N極前方側外周面29N-FをN極後方側外周面29N-Rに重ねたとき、N極前方側外周面29N-Fは、ロータコア23の径方向においてN極後方側外周面29N-Rよりも内側に位置する小径外周面34を有し、かつ、N極後方側外周面29N-Rは、ロータコア23の径方向においてN極前方側外周面29N-Fよりも内側に位置する部分を有しないという形状を、容易に得ることができる。 5, the constant diameter region A2 has a front constant region A2-F located on the front side of the rotation direction R of the rotor 21 with respect to the d-axis D, and a rear constant region A2-R located on the rear side of the rotation direction R with respect to the d-axis D. The circumferential length of the front constant region A2-F is smaller than the circumferential length of the rear constant region A2-R. This makes it easy to obtain a shape in which the air gap formed in the range of the front outer peripheral surface 29-F gradually increases toward the q-axis Q, and the ratio of the air gap formed in the range of the rear outer peripheral surface 29-R gradually increases toward the q-axis Q is smaller than the ratio of the air gap formed in the range of the front outer peripheral surface 29-F gradually increases toward the q-axis Q. In other words, because the front fixed area A2-F is smaller than the rear fixed area A2-R, when the N-pole magnetic pole portion 11N is virtually folded back along the N-pole d-axis DN in each orthogonal plane and the N-pole front outer peripheral surface 29N-F is overlapped with the N-pole rear outer peripheral surface 29N-R, the N-pole front outer peripheral surface 29N-F has a small diameter outer peripheral surface 34 located inside the N-pole rear outer peripheral surface 29N-R in the radial direction of the rotor core 23, and the N-pole rear outer peripheral surface 29N-R does not have a portion located inside the N-pole front outer peripheral surface 29N-F in the radial direction of the rotor core 23.

また、実施例では、図5に示すように、d軸Dに対してロータ21の回転方向Rの前方側に位置する前方側径変化領域A3-Fは、d軸Dに対して回転方向Rの後方側に位置する後方側径変化領域A3-Rよりも大きい。これにより、各磁極外周面29において、前方側外周面29-Fの範囲で形成される空隙が徐々に大きくすると共に、後方側外周面29-Rの範囲で形成される空隙が徐々に大きくなる比率を、前方側外周面29―Fよりも小さくする形状を容易に得られる。 In the embodiment, as shown in FIG. 5, the front diameter change area A3-F located on the front side of the rotation direction R of the rotor 21 with respect to the d-axis D is larger than the rear diameter change area A3-R located on the rear side of the rotation direction R with respect to the d-axis D. This makes it easy to obtain a shape in which the gaps formed in the range of the front outer peripheral surface 29-F are gradually increased in each magnetic pole outer peripheral surface 29, and the ratio at which the gaps formed in the range of the rear outer peripheral surface 29-R are gradually increased is smaller than that of the front outer peripheral surface 29-F.

なお、説明の単純化のために、N極前方側外周面29N-Fの前方側径変化領域A3-Fを形成する複数の曲率半径の組合せと、N極後方側外周面29N-Rの径変化領域A3-Rを形成する複数の曲率半径の組合せとが、それぞれ等しいものとして説明したが、前方側径変化領域A3-Fと後方側径変化領域A3-Rは、複数の曲率半径の組合せが互いに異なっていてもよい。例えば、前方側径変化領域A3-F(As3-F)の第1曲率半径r1-Fと、後方側径変化領域A3-R(As3-R)の第1曲率半径r1-Rとが、互いに異なっていてもよい。同様に、前方側径変化領域A3-F(As3-F)の第2曲率半径r2-F(rs2-F)と、後方側径変化領域A3-R(As3-R)の第2曲率半径r2-R(rs2-R)とが、互いに異なっていてもよい。 For the sake of simplicity, the combination of multiple radii of curvature forming the front diameter change region A3-F of the N-pole front outer peripheral surface 29N-F and the combination of multiple radii of curvature forming the diameter change region A3-R of the N-pole rear outer peripheral surface 29N-R have been described as being equal to each other, but the combinations of multiple radii of curvature of the front diameter change region A3-F and the rear diameter change region A3-R may be different from each other. For example, the first radius of curvature r1-F of the front diameter change region A3-F (As3-F) and the first radius of curvature r1-R of the rear diameter change region A3-R (As3-R) may be different from each other. Similarly, the second radius of curvature r2-F (rs2-F) of the front radius change region A3-F (As3-F) and the second radius of curvature r2-R (rs2-R) of the rear radius change region A3-R (As3-R) may be different from each other.

(溝部の内面形状)
図3に示すように、ロータコア23の直交平面において、溝部16の内面16aの形状は、q軸Qに対して非対称に形成されている。同様に、溝部17の内面17aの形状は、q軸Qに対して非対称に形成されている。また、ロータコア23の外周面27には、溝部16と溝部17がロータコア23の周方向に沿って交互に配置されている。直交平面において、ロータコア23の周方向に隣り合う溝部16の内面16aと溝部17の内面17aの形状は互いに異なる。このような溝部16、17の内面16a、17aの形状は、内面16a、17aを各磁極外周面29の径変化領域A3と滑らかに連続させた結果として形成されている。
(Inner surface shape of groove)
3, in an orthogonal plane of the rotor core 23, the shape of the inner surface 16a of the groove portion 16 is formed asymmetrically with respect to the q axis Q. Similarly, the shape of the inner surface 17a of the groove portion 17 is formed asymmetrically with respect to the q axis Q. Furthermore, in the outer peripheral surface 27 of the rotor core 23, the groove portions 16 and the groove portions 17 are alternately arranged along the circumferential direction of the rotor core 23. In the orthogonal plane, the shapes of the inner surfaces 16a of the groove portions 16 and the inner surfaces 17a of the groove portions 17 adjacent to each other in the circumferential direction of the rotor core 23 are different from each other. The shapes of the inner surfaces 16a, 17a of the groove portions 16, 17 are formed as a result of smoothly connecting the inner surfaces 16a, 17a with the diameter change region A3 of the outer peripheral surface 29 of each magnetic pole.

(非磁性部の形状)
S極磁極部11Sが有する2つの非磁性部(第1非磁性部14、第2非磁性部15)は、このS極磁極部11Sにおけるd軸であるS極d軸DSに対して互いに非対称な形状に形成されている。N極磁極部11Nが有する2つの非磁性部(第1非磁性部14、第2非磁性部15)は、このN極磁極部11Nにおけるd軸であるN極d軸DNに対して互いに非対称な形状に形成されている。また、N極磁極部11Nが有する2つの非磁性部14、15と、S極磁極部11Sが有する2つの非磁性部14、15は、ロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてN極磁極部11NとS極磁極部11Sとを重ねたときに互いに一致しない形状に形成されている。
(Shape of non-magnetic part)
The two non-magnetic parts (first non-magnetic part 14, second non-magnetic part 15) of the S-pole magnetic pole part 11S are formed in shapes that are asymmetrical with respect to the S-pole d-axis DS, which is the d-axis of the S-pole magnetic pole part 11S. The two non-magnetic parts (first non-magnetic part 14, second non-magnetic part 15) of the N-pole magnetic pole part 11N are formed in shapes that are asymmetrical with respect to the N-pole d-axis DN, which is the d-axis of the N-pole magnetic pole part 11N. In addition, the two non-magnetic parts 14, 15 of the N-pole magnetic pole part 11N and the two non-magnetic parts 14, 15 of the S-pole magnetic pole part 11S are formed in shapes that do not match with each other when the N-pole magnetic pole part 11N and the S-pole magnetic pole part 11S are overlapped by virtually rotating them 360/(2 m) [degrees] around the rotation center O of the rotor 21.

具体的には、ロータコア23の直交平面において、N極磁極部11NとS極磁極部11Sが有する4つの非磁性部14、15は、形状が互いに異なる。例えば、図3に示すように、ロータコア23の周方向に隣り合う磁極部11(N極磁極部11NとS極磁極部11S)における4つ非磁性部14a、15a、14b、15bの形状が互いに異なる。これは、磁極外周面29の形状と溝部16、17の形状とに合わせて、各非磁性部14、15を大きく確保することと、ブリッジ部18の機械的強度を適正に確保することとを両立させる結果として形状が互いに異なっている。よって、ロータコア23によれば、磁極外周面29を含む一極対外周面28による磁束密度分布の調整と、非磁性部14、15による磁束の流れの調整と、ブリッジ部18の機械的強度の確保と、をそれぞれ適切に得ることができる。 Specifically, in the orthogonal plane of the rotor core 23, the four nonmagnetic parts 14, 15 of the N-pole magnetic pole part 11N and the S-pole magnetic pole part 11S have different shapes. For example, as shown in FIG. 3, the shapes of the four nonmagnetic parts 14a, 15a, 14b, 15b in the magnetic pole parts 11 (N-pole magnetic pole part 11N and S-pole magnetic pole part 11S) adjacent in the circumferential direction of the rotor core 23 are different from each other. This is because the shapes are different from each other as a result of ensuring that each nonmagnetic part 14, 15 is large and that the mechanical strength of the bridge part 18 is appropriately ensured in accordance with the shape of the magnetic pole outer peripheral surface 29 and the shape of the groove parts 16, 17. Therefore, according to the rotor core 23, it is possible to appropriately adjust the magnetic flux density distribution by the one-pole outer peripheral surface 28 including the magnetic pole outer peripheral surface 29, adjust the magnetic flux flow by the nonmagnetic parts 14, 15, and ensure the mechanical strength of the bridge part 18.

また、ロータコア23において各リベット穴7の中心は、各q軸Q上に位置している。図示しないが、ロータコア23の各磁極部11は、2つの非磁性部14,15を有する構造に限定されず、例えば、磁石埋込孔12と磁極外周面29との間において、各非磁性部14、15のd軸D側に隣り合うように、更に他の非磁性部(空間部)が設けられてもよい(後述する比較例を示す図8参照)。 The center of each rivet hole 7 in the rotor core 23 is located on the q-axis Q. Although not shown, each magnetic pole portion 11 of the rotor core 23 is not limited to a structure having two non-magnetic portions 14, 15, and for example, another non-magnetic portion (space portion) may be provided adjacent to each non-magnetic portion 14, 15 on the d-axis D side between the magnet embedment hole 12 and the magnetic pole outer peripheral surface 29 (see FIG. 8 showing a comparative example described later).

(実施例と比較例との比較)
上述した実施例と比較する比較例について説明する。図7は、比較例のロータコアの要部を説明するための平面図である。図7に示すように、比較例のロータコア101は、一極対の範囲の一極対外周面128がq軸Qに対して対称形状に形成されている点で、実施例と異なる。また、比較例のロータコア101は、各磁極部11の磁極外周面129がd軸Dに対して対称形状に形成されている点で、実施例と異なる。さらに、比較例のロータコア101の外周面127は、溝部102が形成される範囲と、この溝部102の範囲におけるq軸Q上に突起部103が形成されている点とが、実施例と異なる。
(Comparison between Examples and Comparative Examples)
A comparative example to be compared with the above-mentioned embodiment will be described. FIG. 7 is a plan view for explaining a main part of a rotor core of the comparative example. As shown in FIG. 7, the rotor core 101 of the comparative example differs from the embodiment in that a pole pair outer peripheral surface 128 in the range of one pole pair is formed symmetrically with respect to the q-axis Q. The rotor core 101 of the comparative example also differs from the embodiment in that a magnetic pole outer peripheral surface 129 of each magnetic pole portion 11 is formed symmetrically with respect to the d-axis D. Furthermore, the outer peripheral surface 127 of the rotor core 101 of the comparative example differs from the embodiment in the range in which the groove portion 102 is formed and in that a protrusion portion 103 is formed on the q-axis Q in the range of this groove portion 102.

図8は、比較例のロータにおける磁束の分布(磁束線図)を示す平面図である。図8において、ロータの回転方向R(反時計回り)に対して機械角が0[度]から120[度]までの範囲を示している。図8に示す実験モデルでは、ロータコア101の冷媒ガス通路9を省略している。図8は、ロータの回転方向Rに対してN極磁極部11N、S極磁極部11Sの順に並んでおり、ロータの周方向に並ぶ3つのティース部32のうちの中央のティース部32が、60[度]に位置するq軸Q上に位置している状態を示している。 Figure 8 is a plan view showing the distribution of magnetic flux (magnetic flux lines) in a rotor of a comparative example. In Figure 8, the mechanical angle ranges from 0 degrees to 120 degrees with respect to the rotor rotation direction R (counterclockwise). In the experimental model shown in Figure 8, the refrigerant gas passage 9 of the rotor core 101 is omitted. Figure 8 shows a state in which the N pole magnetic pole portion 11N and the S pole magnetic pole portion 11S are arranged in this order with respect to the rotor rotation direction R, and the central tooth portion 32 of the three teeth portions 32 arranged circumferentially of the rotor is located on the q-axis Q at 60 degrees.

図8に示すように、中央のティース部32はその周方向の中心がq軸Q上に位置するものの、中央のティース部32では、N極磁極部11Nから中央のティース部32に流れた磁束がヨーク部31を通過せずに鍔部33を経由して、隣り合うS極磁極部11Sへ流れる磁路が生じており、この磁路における磁束の分布がq軸Qに対して非対称となることが顕著に現れている。 As shown in FIG. 8, the circumferential center of the central teeth portion 32 is located on the q-axis Q, but in the central teeth portion 32, a magnetic path is created in which the magnetic flux that flows from the N-pole magnetic pole portion 11N to the central teeth portion 32 flows to the adjacent S-pole magnetic pole portion 11S via the flange portion 33 without passing through the yoke portion 31, and it is clearly evident that the distribution of magnetic flux in this magnetic path is asymmetric with respect to the q-axis Q.

図9は、比較例のロータを備えた電動機のエアギャップにおけるロータの周方向の磁束密度分布を示す図である。図9において、縦軸が径方向の磁束密度[T]を示し、横軸がロータの周方向に対する機械角[度]を示す。図9において、理想的な正弦波を実線で示し、比較例を破線で示す。図9は、図8における機械角が0[度]から120[度]までの範囲において、比較例のロータコア101の一極対外周面128と各ティース部32との間の空隙(エアギャップ)での磁束密度分布を示している。 Figure 9 shows the magnetic flux density distribution in the circumferential direction of the rotor in the air gap of an electric motor equipped with a rotor of the comparative example. In Figure 9, the vertical axis shows the radial magnetic flux density [T], and the horizontal axis shows the mechanical angle [degrees] with respect to the circumferential direction of the rotor. In Figure 9, an ideal sine wave is shown by a solid line, and the comparative example is shown by a dashed line. Figure 9 shows the magnetic flux density distribution in the gap (air gap) between one pole pair outer peripheral surface 128 of the rotor core 101 of the comparative example and each tooth portion 32 in the mechanical angle range of 0 [degrees] to 120 [degrees] in Figure 8.

図9に示すように、比較例の磁束密度分布は、0[度]近傍、60[度]近傍、120[度]近傍の各位置で、理想的な正弦波からのずれの大きさ(歪み)が大きくなっている。そのため比較例では、ロータに作用する磁束が滑らかに変化せず、ロータの径方向に生じる加振力が大きくなりやすい。また、電動機をベクトル制御する際の基準となる磁束密度が0(ゼロ)[T]となる点が、理想的な正弦波では0[度]、60[度]、120[度]に現れるのに対し、比較例のロータを備えた電動機では、磁束密度が0(ゼロ)[T]となる点が、特に0[度]、60[度]からは3~5[度]程離れた機械角で現れている。そのため、比較例のロータを備えた電動機では、ロータの周方向の磁束密度分布が理想的な正弦波から離れること、特に、N極磁極部11NとS極磁極部11Sの組がなす極対の個数をm個としたとき、磁束密度が0[T]となる点がロータコア101の周方向で360/(2m)[度]の倍数となる角度から離れた機械角で現れることで、ロータの回転制御を適正化することができない。その結果、比較例のロータを備えた電動機は、ロータの径方向に生じる振動が十分に低減できない。なお、ロータの周方向においてティース部32同士の間の開口部となる40[度]、80[度]の位置近傍では、磁束密度[T]が急激に低下する結果として、磁束密度分布が正弦波から大きくずれる。 As shown in FIG. 9, the magnetic flux density distribution of the comparative example has a large deviation (distortion) from the ideal sine wave at each position near 0 degrees, 60 degrees, and 120 degrees. Therefore, in the comparative example, the magnetic flux acting on the rotor does not change smoothly, and the vibration force generated in the radial direction of the rotor is likely to be large. In addition, the points at which the magnetic flux density, which is the reference when vector controlling the motor, becomes 0 (zero) [T] appear at 0 degrees, 60 degrees, and 120 degrees in an ideal sine wave, whereas in the motor equipped with the rotor of the comparative example, the points at which the magnetic flux density becomes 0 (zero) [T] appear at mechanical angles that are particularly 3 to 5 degrees away from 0 degrees and 60 degrees. Therefore, in the motor having the rotor of the comparative example, the magnetic flux density distribution in the circumferential direction of the rotor deviates from an ideal sine wave, and in particular, when the number of pole pairs formed by the set of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S is m, the point where the magnetic flux density becomes 0 [T] appears at a mechanical angle away from an angle that is a multiple of 360/(2m) [degrees] in the circumferential direction of the rotor core 101, and the rotation control of the rotor cannot be optimized. As a result, the electric motor having the rotor of the comparative example cannot sufficiently reduce vibrations generated in the radial direction of the rotor. In addition, near the positions of 40 [degrees] and 80 [degrees], which are the openings between the teeth portions 32 in the circumferential direction of the rotor, the magnetic flux density [T] drops sharply, and as a result, the magnetic flux density distribution deviates significantly from the sine wave.

図10は、実施例のロータ21における磁束の分布(磁束線図)を示す平面図である。図10において、ロータ21の回転方向Rに対して機械角が0[度]から120[度]までの範囲を示している。図10に示す実験モデルでは、ロータコア23の冷媒ガス通路9を省略している。図10は、ロータ21の回転方向Rに対してU相ティース部32U、V相ティース部32V、W相ティース部32Wの順に並んでおり、U相ティース部32UとV相ティース部32VがN極磁極部11NのN極外周面29Nに対向する共に、V相ティース部32VとW相ティース部32WがS極磁極部11SのS極外周面29Sに対向する状態を示している。この状態を一例として、ロータ21における磁束の流れを説明する。 Figure 10 is a plan view showing the distribution of magnetic flux (magnetic flux lines) in the rotor 21 of the embodiment. In Figure 10, the mechanical angle ranges from 0 degrees to 120 degrees with respect to the rotation direction R of the rotor 21. In the experimental model shown in Figure 10, the refrigerant gas passage 9 of the rotor core 23 is omitted. Figure 10 shows a state in which the U-phase teeth 32U, V-phase teeth 32V, and W-phase teeth 32W are arranged in this order with respect to the rotation direction R of the rotor 21, and the U-phase teeth 32U and V-phase teeth 32V face the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N, and the V-phase teeth 32V and W-phase teeth 32W face the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S. The flow of magnetic flux in the rotor 21 will be described using this state as an example.

図10に示すように、実施例では、U相ティース部32Uについて、ロータコア23のN極後方外周面29N-Rのq軸Q近傍(径変化領域A3)でのロータコア23の外径をq軸Q側に向かって徐々に小さくし、N極後方外周面29N-RとU相ティース部32Uの鍔部33との空隙が大きくされている。これにより、N極後方外周面29N-Rのq軸Q近傍での磁気抵抗を上げて、N極後方外周面29N-Rからの磁束の漏れを抑え、N極後方外周面29N-RからU相ティース部32Uへ向けて磁束を効果的に流し、磁束の流れがスムーズにされている。 As shown in FIG. 10, in this embodiment, for the U-phase teeth 32U, the outer diameter of the rotor core 23 in the vicinity of the q-axis Q (diameter change region A3) of the N-pole rear outer peripheral surface 29N-R of the rotor core 23 is gradually reduced toward the q-axis Q side, and the gap between the N-pole rear outer peripheral surface 29N-R and the flange portion 33 of the U-phase teeth 32U is increased. This increases the magnetic resistance in the vicinity of the q-axis Q of the N-pole rear outer peripheral surface 29N-R, suppresses leakage of magnetic flux from the N-pole rear outer peripheral surface 29N-R, and effectively flows magnetic flux from the N-pole rear outer peripheral surface 29N-R toward the U-phase teeth 32U, making the flow of magnetic flux smoother.

次に、実施例では、V相ティース部32Vについて、ロータコア23のN極前方外周面29N-Fのq軸Q近傍でのロータコア23の外径がq軸Qに向かって小さくなる比率を、N極後方外周面29N-Rのq軸Q近傍よりも増やされている。これにより、N極前方外周面29N-Fのq軸Q近傍でのV相ティース部32Vに向かう磁束の流れを調整し、N極前方外周面29N-FからV相ティース部32Vに流れた磁束がヨーク部31を通過せずにV相ティース部32Vの鍔部33を経由して、隣り合うS極磁極部11Sへ流れる磁路が生じることが抑えられている。 Next, in the embodiment, for the V-phase teeth portion 32V, the ratio at which the outer diameter of the rotor core 23 near the q-axis Q of the N-pole front outer peripheral surface 29N-F of the rotor core 23 decreases toward the q-axis Q is increased compared to the vicinity of the q-axis Q of the N-pole rear outer peripheral surface 29N-R. This adjusts the flow of magnetic flux toward the V-phase teeth portion 32V near the q-axis Q of the N-pole front outer peripheral surface 29N-F, and prevents the magnetic flux flowing from the N-pole front outer peripheral surface 29N-F to the V-phase teeth portion 32V from passing through the yoke portion 31 and via the flange portion 33 of the V-phase teeth portion 32V to the adjacent S-pole magnetic pole portion 11S.

また、V相ティース部32Vでは、V相ティース部32Vの鍔部33からS極磁極部11Sへ向かう磁束が少ないので、S極後方外周面29S-Rのq軸Q近傍におけるロータコア23の外径を、S極前方外周面29S-Fのq軸Q近傍よりも大きくし、かつ、緩やかに小さくしている。 In addition, in the V-phase teeth portion 32V, since there is little magnetic flux flowing from the flange portion 33 of the V-phase teeth portion 32V toward the S-pole magnetic pole portion 11S, the outer diameter of the rotor core 23 near the q-axis Q of the S-pole rear outer peripheral surface 29S-R is made larger than the outer diameter near the q-axis Q of the S-pole front outer peripheral surface 29S-F, and is gradually made smaller.

次に、実施例では、W相ティース部32Wについて、ロータコア23のS極前方外周面29S-Fのq軸Q近傍でのロータコア23の外径をq軸Q側に向かって徐々に小さくし、S極前方外周面29S-FとW相ティース部32Wの鍔部33との空隙が大きくされている。これにより、S極前方外周面29S-Fのq軸Q近傍での磁気抵抗を上げて、W相ティース部32Wの鍔部33からの磁束の漏れを抑えることで、W相ティース部32WからS極前方外周面29S-Fへ向けて磁束を効果的に流し、S極磁極11Sの永久磁石13へ向かう磁束の流れがスムーズにされている。 Next, in the embodiment, for the W-phase teeth 32W, the outer diameter of the rotor core 23 in the vicinity of the q-axis Q of the S-pole front outer peripheral surface 29S-F of the rotor core 23 is gradually reduced toward the q-axis Q side, and the gap between the S-pole front outer peripheral surface 29S-F and the flange 33 of the W-phase teeth 32W is increased. This increases the magnetic resistance of the S-pole front outer peripheral surface 29S-F in the vicinity of the q-axis Q and suppresses leakage of magnetic flux from the flange 33 of the W-phase teeth 32W, effectively allowing magnetic flux to flow from the W-phase teeth 32W toward the S-pole front outer peripheral surface 29S-F, smoothing the flow of magnetic flux toward the permanent magnet 13 of the S-pole magnetic pole 11S.

ここで図10に示す実施例は、図8に示す比較例と比べると、3つのティース部32における中央のティース部32であるV相ティース部32Vにおいて、N極磁極部11NからV相ティース部32Vに流れた磁束がヨーク部31を通過せずに鍔部33を経由して、隣り合うS極磁極部11Sへ流れる磁路における磁束の分布が、q軸Qに対して非対称になることが抑制されている。このため、中央のティース部32がq軸Q上に位置する60[度]付近で磁束密度分布が理想的な正弦波に近づけられる(図11参照)。 Compared to the comparative example shown in FIG. 8, the embodiment shown in FIG. 10 has a feature in that in the V-phase teeth portion 32V, which is the central teeth portion 32 of the three teeth portions 32, the distribution of magnetic flux in the magnetic path in which the magnetic flux flows from the N-pole magnetic pole portion 11N to the V-phase teeth portion 32V, without passing through the yoke portion 31, passes through the flange portion 33, and flows to the adjacent S-pole magnetic pole portion 11S, is prevented from becoming asymmetric with respect to the q-axis Q. As a result, the magnetic flux density distribution is brought closer to an ideal sine wave near 60 degrees, where the central teeth portion 32 is located on the q-axis Q (see FIG. 11).

実施例では、上述のように一極対外周面28が形成されることで、1つの一極対外周面28の範囲における、ロータコア23と各ティース部32との間の空隙(エアギャップ)での磁束密度分布が正弦波に近づけられている。そして、ロータコア23の外周面27は、3つの一極対外周面28が回転対称に形成されて、各一極対外周面28での磁束の流れが同一であるので、上述のように1つの一極対外周面28における磁束密度分布を適正化することで、ロータコア23の外周面27の全域の磁束密度分布を適正化できる。 In the embodiment, by forming the pole-pair outer peripheral surface 28 as described above, the magnetic flux density distribution in the air gap between the rotor core 23 and each tooth portion 32 in the range of one pole-pair outer peripheral surface 28 is made to approach a sine wave. In addition, the outer peripheral surface 27 of the rotor core 23 has three pole-pair outer peripheral surfaces 28 formed in rotational symmetry, and the magnetic flux flow is the same in each pole-pair outer peripheral surface 28. Therefore, by optimizing the magnetic flux density distribution in one pole-pair outer peripheral surface 28 as described above, the magnetic flux density distribution in the entire outer peripheral surface 27 of the rotor core 23 can be optimized.

図11は、実施例のロータ21の周方向における磁束密度分布を示す図である。図9において、縦軸が磁束密度[T]を示し、横軸がロータ21の周方向に対する機械角[度]を示す。図11において、正弦波を実線で示し、実施例を一点鎖線で示す。図11は、図10における機械角が0[度]から120[度]までの範囲について、実施例のロータコア23の一極対外周面28と各ティース部32との間の空隙(エアギャップ)の位置での磁束密度分布を示している。 Figure 11 is a diagram showing the magnetic flux density distribution in the circumferential direction of the rotor 21 of the embodiment. In Figure 9, the vertical axis shows the magnetic flux density [T], and the horizontal axis shows the mechanical angle [degrees] with respect to the circumferential direction of the rotor 21. In Figure 11, the sine wave is shown by a solid line, and the embodiment is shown by a dashed line. Figure 11 shows the magnetic flux density distribution at the position of the gap (air gap) between one pole pair outer peripheral surface 28 of the rotor core 23 of the embodiment and each tooth portion 32 for the mechanical angle range of 0 [degrees] to 120 [degrees] in Figure 10.

図11に示すように、実施例では、0[度]近傍、60[度]近傍、120[度]近傍の各位置で、磁束密度分布が理想的な正弦波と重なるように近づけられており、図9に示す比較例と比べて、実施例の磁束密度分布では理想的な正弦波からのずれの大きさ(歪み)が低減されている。特に、比較例と比べて実施例は、60[度]の位置で、理想的な正弦波での60[度]の位置での磁束密度と同様に、磁束密度がほぼ0(ゼロ)[T]になる。 As shown in FIG. 11, in the embodiment, the magnetic flux density distribution is close to overlapping with an ideal sine wave at each position near 0 degrees, near 60 degrees, and near 120 degrees, and the magnitude of deviation (distortion) from an ideal sine wave is reduced in the magnetic flux density distribution of the embodiment compared to the comparative example shown in FIG. 9. In particular, compared to the comparative example, in the embodiment, the magnetic flux density at the 60 degree position is nearly 0 (zero) [T], similar to the magnetic flux density at the 60 degree position of an ideal sine wave.

実施例は、電動機1をベクトル制御する際の基準となる磁束密度が0(ゼロ)[T]となる点が、理想的な正弦波では0[度]、60[度]、120[度]に現れるのに対し、実施例の磁束密度分布でも、磁束密度が0(ゼロ)[T]となる点が、0[度]、60[度]、120[度]とほぼ一致して現れるようにすることができる。これにより、N極磁極部11NとS極磁極部11Sの組がなす極対の個数をm個としたとき、磁束密度が0[T]となる点が、ロータコア23の周方向で360/(2m)[度]の倍数となる機械角の位置にほぼ一致して現れるため、ロータ21の回転制御を適正化することができる。また、ロータ21の周方向の磁束密度分布が360/(2m)[度]の倍数となる機械角の付近で正弦波に近づけられることで、ロータ21に作用する磁束が滑らかに変化するので、ロータ21の径方向に生じる加振力を小さくできる。その結果、実施例のロータ21を備えた電動機1は、ロータ21の径方向に生じる振動を低減できる。 In the embodiment, the points at which the magnetic flux density, which is the reference when vector controlling the electric motor 1, is 0 (zero) [T] appear at 0 [degrees], 60 [degrees], and 120 [degrees] in an ideal sine wave, whereas in the magnetic flux density distribution of the embodiment, the points at which the magnetic flux density is 0 (zero) [T] appear almost coincident with 0 [degrees], 60 [degrees], and 120 [degrees]. As a result, when the number of pole pairs formed by the set of the N pole magnetic pole portion 11N and the S pole magnetic pole portion 11S is m, the points at which the magnetic flux density is 0 [T] appear almost coincident with the mechanical angle positions that are multiples of 360/(2m) [degrees] in the circumferential direction of the rotor core 23, so that the rotation control of the rotor 21 can be optimized. In addition, by making the magnetic flux density distribution in the circumferential direction of the rotor 21 approach a sine wave near the mechanical angle where the angle is a multiple of 360/(2 m) [degrees], the magnetic flux acting on the rotor 21 changes smoothly, so that the vibration force generated in the radial direction of the rotor 21 can be reduced. As a result, the electric motor 1 equipped with the rotor 21 of the embodiment can reduce the vibration generated in the radial direction of the rotor 21.

図12は、電動機に生じる振動について実施例と比較例とで比較して示す図である。図12において、縦軸が加速度[m/s]を示し、横軸が周波数[Hz]を示す。図13は、電動機の周囲で生じる騒音について実施例と比較例とで比較して示す図である。図13において、縦軸が音圧[dB]を示し、横軸が周波数[Hz]を示す。ここで周波数は、ロータ21の回転数に比例する値である。また、図12及び図13において、実施例を黒で示し、比較例を白で示す。 Fig. 12 is a diagram showing a comparison between the vibrations generated in the electric motor in the embodiment and the comparative example. In Fig. 12, the vertical axis indicates acceleration [m/ s2 ], and the horizontal axis indicates frequency [Hz]. Fig. 13 is a diagram showing a comparison between the noise generated around the electric motor in the embodiment and the comparative example. In Fig. 13, the vertical axis indicates sound pressure [dB], and the horizontal axis indicates frequency [Hz]. Here, frequency is a value proportional to the rotation speed of the rotor 21. In Figs. 12 and 13, the embodiment is shown in black, and the comparative example is shown in white.

実施例は、図12に示すように、比較例と比べて、電動機1での周波数の全帯域において振動(加速度)が低減される。このため、実施例は、図13に示すように、比較例と比べて、電動機1での周波数の全帯域において騒音が低減される。 As shown in FIG. 12, the embodiment reduces vibration (acceleration) over the entire frequency range of the electric motor 1 compared to the comparative example. Therefore, as shown in FIG. 13, the embodiment reduces noise over the entire frequency range of the electric motor 1 compared to the comparative example.

(実施例の効果)
上述したように実施例の電動機1におけるロータコア23の外周面27は、磁極部11の極対の個数をm個として、一極対外周面28の形状がロータ21の回転中心Oに対して回転対称となるようにロータコア23の周方向にm回繰り返されて形成される。各磁極部11は、直交平面において、回転中心Oと第1各非磁性部14の外周端を通る第1境界線B1と、回転中心Оと第2非磁性部15の外周端を通る第2境界線B2と、の間における外周面27に形成された磁極外周面29を有する。直交平面において、N極磁極部11NとS極磁極部11Sのいずれか一方の磁極部を、ロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてN極磁極部11NとS極磁極部11Sのいずれか他方の磁極部に重ねたときに、N極磁極部11NのN極外周面29NとS極磁極部11SのS極外周面29Sとは、互いに一致しない形状に形成されている。このような形状に磁極外周面29が形成されることにより、永久磁石13の個数(磁極部11の個数)である極数と、巻き線46が巻かれた巻回部45の個数に相当するティース部32の個数との比率が2:3となる電動機であっても、図10に示すように、3つのティース部32における中央のティース部32(32V)において、N極磁極部11Nからティース部32(32V)に流れた磁束がヨーク部31を通過せずに鍔部33を経由して隣り合うS極磁極部11Sへ流れる磁路に着目したとき、磁束の分布がq軸Qに対して非対称になることが抑制されている。このため、中央のティース部32(32V)がq軸Q上に位置する60[度]の付近での磁束密度分布が、理想的な正弦波に近づけられる。これにより、回転するロータ21の周方向においてロータ21とステータ22との間の空隙(エアギャップ)での磁束密度分布を図11に示すように正弦波に近づけることができる。特に、N極磁極部11NとS極磁極部11Sの組がなす極対の個数をm個としたとき、磁束密度が“0”(ゼロ)[T]となる点が、ロータコア23の周方向で360/(2m)[度]の倍数となる機械角の位置にほぼ一致して現れるため、ロータ21の回転制御を適正化することができる。また、ロータ21の周方向の磁束密度分布が360/(2m)[度]の倍数となる機械角の付近で正弦波に近づけられることで、ロータ21に作用する磁束が滑らかに変化するので、ロータ21の径方向に生じる加振力の変動が抑えられる。その結果、実施例によれば、電動機1の振動を低減し、電動機1の周囲の騒音を低減することができる。
(Effects of the embodiment)
As described above, the outer peripheral surface 27 of the rotor core 23 in the electric motor 1 of the embodiment is formed by repeating m times in the circumferential direction of the rotor core 23 so that the shape of one pole pair outer peripheral surface 28 is rotationally symmetrical about the rotation center O of the rotor 21, where the number of pole pairs of the magnetic pole portions 11 is m. Each magnetic pole portion 11 has a magnetic pole outer peripheral surface 29 formed on the outer peripheral surface 27 between a first boundary line B1 passing through the rotation center O and the outer peripheral end of each first non-magnetic portion 14, and a second boundary line B2 passing through the rotation center O and the outer peripheral end of the second non-magnetic portion 15, in an orthogonal plane. In an orthogonal plane, when one of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S is virtually rotated 360/(2 m) degrees around the rotation center O of the rotor 21 and overlapped with the other of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N and the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S are formed in shapes that do not coincide with each other. By forming the magnetic pole outer peripheral surface 29 in such a shape, even in an electric motor in which the ratio of the number of poles, which is the number of permanent magnets 13 (the number of magnetic pole portions 11), to the number of teeth portions 32, which is the number of winding portions 45 around which the windings 46 are wound, is 2:3, when attention is paid to the magnetic path in which the magnetic flux flowing from the N-pole magnetic pole portion 11N to the tooth portion 32 (32V) of the three teeth portions 32 flows to the adjacent S-pole magnetic pole portion 11S via the flange portion 33 without passing through the yoke portion 31, in the central tooth portion 32 (32V) among the three teeth portions 32 as shown in Fig. 10, the magnetic flux distribution is prevented from becoming asymmetric with respect to the q-axis Q. Therefore, the magnetic flux density distribution in the vicinity of 60 degrees where the central tooth portion 32 (32V) is located on the q-axis Q is made to approach an ideal sine wave. As a result, the magnetic flux density distribution in the air gap between the rotor 21 and the stator 22 in the circumferential direction of the rotating rotor 21 can be made to approach a sine wave as shown in FIG. 11. In particular, when the number of pole pairs formed by the set of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S is m, the point where the magnetic flux density is "0" (zero) [T] appears almost coincident with the position of the mechanical angle which is a multiple of 360/(2m) [degrees] in the circumferential direction of the rotor core 23, so that the rotation control of the rotor 21 can be optimized. In addition, by making the magnetic flux density distribution in the circumferential direction of the rotor 21 approach a sine wave near the mechanical angle which is a multiple of 360/(2m) [degrees], the magnetic flux acting on the rotor 21 changes smoothly, so that the fluctuation of the excitation force generated in the radial direction of the rotor 21 can be suppressed. As a result, according to the embodiment, the vibration of the electric motor 1 can be reduced, and the noise around the electric motor 1 can be reduced.

また、実施例の電動機1におけるロータコア23は、磁極外周面29が、d軸Dに対してロータ21の回転方向Rの前方側に位置する前方側外周面29-Fと、d軸Dに対して回転方向Rの後方側に位置する後方側外周面29-Rと、を有する。直交平面において磁極部11をd軸Dに沿って仮想的に折り返して、前方側外周面29-Fを後方側外周面29-Rに重ねたとき、前方側外周面29-Fは、ロータコア23の径方向において後方側外周面29-Rよりも内側に位置する小径外周面34を有し、かつ、後方側外周面29-Rは、ロータコア23の径方向において前方側外周面29-Fよりも内側に位置する部分を有しない。これにより、回転するロータ21の周方向においてロータ21とステータ22との間の空隙(エアギャップ)での磁束密度分布を正弦波に更に近づけることができる。 In addition, the rotor core 23 in the electric motor 1 of the embodiment has a magnetic pole outer peripheral surface 29 having a front outer peripheral surface 29-F located on the front side of the rotation direction R of the rotor 21 with respect to the d-axis D, and a rear outer peripheral surface 29-R located on the rear side of the rotation direction R with respect to the d-axis D. When the magnetic pole portion 11 is virtually folded back along the d-axis D in an orthogonal plane and the front outer peripheral surface 29-F is overlapped with the rear outer peripheral surface 29-R, the front outer peripheral surface 29-F has a small diameter outer peripheral surface 34 located inside the rear outer peripheral surface 29-R in the radial direction of the rotor core 23, and the rear outer peripheral surface 29-R does not have a portion located inside the front outer peripheral surface 29-F in the radial direction of the rotor core 23. This makes it possible to make the magnetic flux density distribution in the air gap between the rotor 21 and the stator 22 in the circumferential direction of the rotating rotor 21 even closer to a sine wave.

また、実施例の電動機1におけるロータコア23の磁極外周面29は、d軸Dが通る位置に形成されてロータ21の回転中心Oからの距離が一定の径一定領域A2と、溝部領域A1と径一定領域A2との間に形成されて回転中心Oからの距離が変化する径変化領域A3と、を有する。径一定領域A2は、d軸Dに対してロータ21の回転方向Rの前方側に位置する前方側一定領域A2-Fと、d軸Dに対して回転方向Rの後方側に位置する後方側一定領域A2-Rと、を有する。前方側一定領域A2-Fの周方向の長さは、後方側一定領域A2-Rの周方向の長さよりも小さい。これにより、各磁極外周面29において、前方側外周面29-Fの範囲で形成される空隙が徐々に大きくなると共に、後方側外周面29-Rの範囲で形成される空隙が徐々に大きくなる比率を、前方側外周面29―Fよりも小さくする形状を容易に得ることができる。 The magnetic pole outer peripheral surface 29 of the rotor core 23 in the electric motor 1 of the embodiment has a constant diameter region A2 formed at a position where the d-axis D passes and has a constant distance from the rotation center O of the rotor 21, and a diameter change region A3 formed between the groove region A1 and the constant diameter region A2 and has a variable distance from the rotation center O. The constant diameter region A2 has a front constant region A2-F located on the front side of the rotation direction R of the rotor 21 with respect to the d-axis D, and a rear constant region A2-R located on the rear side of the rotation direction R with respect to the d-axis D. The circumferential length of the front constant region A2-F is smaller than the circumferential length of the rear constant region A2-R. This makes it easy to obtain a shape in which the gaps formed in the range of the front outer peripheral surface 29-F gradually increase in each magnetic pole outer peripheral surface 29, and the ratio of the gaps formed in the range of the rear outer peripheral surface 29-R gradually increases is smaller than that of the front outer peripheral surface 29-F.

また、実施例の電動機1におけるステータ22の各ティース部32は、巻き線46が集中巻きで巻回された巻回部45を有する。このような集中巻型の電動機1において本発明の課題を解決できる。 In addition, each tooth portion 32 of the stator 22 in the electric motor 1 of the embodiment has a winding portion 45 in which the winding 46 is wound in a concentrated winding manner. The problem of the present invention can be solved in such a concentrated winding type electric motor 1.

以下、参考例及び変形例について図面を参照して説明する。参考例及び変形例において、実施例と同一の構成部材には、実施例と同一の符号を付して説明を省略する。参考例は、各磁極部11の磁極外周面29が同一形状に形成される点が実施例と異なる。 The reference example and the modified examples are described below with reference to the drawings. In the reference example and the modified examples, the same components as those in the embodiment are given the same reference numerals as those in the embodiment, and the description thereof is omitted. The reference example differs from the embodiment in that the magnetic pole outer peripheral surface 29 of each magnetic pole portion 11 is formed in the same shape.

(参考例)
図14は、参考例におけるロータコアの要部を説明するための平面図である。図14に示すように、参考例におけるロータコア51は、実施例と同様に、各磁極部11の磁極外周面29が、d軸Dに対してロータ21の回転方向Rの前方側に位置する前方側外周面29-Fと、d軸Dに対して回転方向Rの後方側に位置する後方側外周面29-Rと、を有する。直交平面(図14の紙面)において磁極部11をd軸Dに沿って仮想的に折り返して、前方側外周面29-Fを後方側外周面29-Rに重ねたとき、前方側外周面29-Fは、ロータコア51の径方向において後方側外周面29-Rよりも内側に位置する小径外周面34を有し、かつ、後方側外周面29-Rは、ロータコア51の径方向において前方側外周面29-Fよりも内側に位置する部分を有しない。
(Reference example)
14 is a plan view for explaining the main part of the rotor core in the reference example. As shown in FIG. 14, in the rotor core 51 in the reference example, similar to the embodiment, the magnetic pole outer peripheral surface 29 of each magnetic pole portion 11 has a front outer peripheral surface 29-F located on the front side of the rotation direction R of the rotor 21 with respect to the d-axis D, and a rear outer peripheral surface 29-R located on the rear side of the rotation direction R with respect to the d-axis D. When the magnetic pole portion 11 is virtually folded back along the d-axis D in the orthogonal plane (the paper surface of FIG. 14) and the front outer peripheral surface 29-F is overlapped with the rear outer peripheral surface 29-R, the front outer peripheral surface 29-F has a small diameter outer peripheral surface 34 located inside the rear outer peripheral surface 29-R in the radial direction of the rotor core 51, and the rear outer peripheral surface 29-R does not have a portion located inside the front outer peripheral surface 29-F in the radial direction of the rotor core 51.

参考例は、直交平面において、N極磁極部11NのN極外周面29NとS極磁極部11SのS極外周面29Sが、ロータ21の回転中心Oまわりに360/(2m)[度]、仮想的に回転させてN極磁極部11NとS極磁極部11Sとを重ねたときに互いに一致する形状に形成されている。この点で参考例は、実施例と異なる。言い換えると、参考例のロータコア51は、直交平面において、N極磁極部11NとS極磁極部11Sとで磁極外周面29が同一形状であり、同一形状の磁極外周面29がロータコア51の外周面27の全周にわたって繰り返して形成されている。 In the reference example, the N-pole outer peripheral surface 29N of the N-pole magnetic pole portion 11N and the S-pole outer peripheral surface 29S of the S-pole magnetic pole portion 11S are formed in shapes that match each other when the rotor 21 is virtually rotated 360/(2 m) [degrees] around the rotation center O to overlap the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S in an orthogonal plane. In this respect, the reference example differs from the embodiment. In other words, in the rotor core 51 of the reference example, the magnetic pole outer peripheral surfaces 29 of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S have the same shape in an orthogonal plane, and the magnetic pole outer peripheral surface 29 of the same shape is repeatedly formed around the entire circumference of the outer peripheral surface 27 of the rotor core 51.

また、参考例におけるロータコア51の各磁極外周面29は、実施例と同様に、d軸Dに対して非対称な形状に形成されているが、N極外周面29NとS極外周面29Sが同一形状である点で実施例と異なる。参考例における各磁極外周面29が、d軸Dに対して非対称な形状となる詳細な形状は、実施例の各磁極外周面29(図5及び図6参照)と同様であるので説明を省略する。 In addition, the magnetic pole outer circumferential surface 29 of the rotor core 51 in the reference example is formed in an asymmetric shape with respect to the d-axis D, as in the embodiment, but differs from the embodiment in that the N-pole outer circumferential surface 29N and the S-pole outer circumferential surface 29S have the same shape. The detailed shape of the magnetic pole outer circumferential surface 29 in the reference example, which is asymmetric with respect to the d-axis D, is similar to that of the magnetic pole outer circumferential surface 29 in the embodiment (see Figures 5 and 6), so a description thereof will be omitted.

(溝部及び非磁性部の形状)
参考例では、ロータコア51の周方向において共通形状の溝部52が、各磁極部11の間のq軸Q上に形成されている。溝部52の内面52aの形状は、q軸Qに対して非対称に形成されている。一方、各磁極部11において、ロータ21の回転方向Rの前方側に位置する各第1非磁性部14は互いに同一形状である。また、各磁極部11において、回転方向Rの後方側に位置する各第2非磁性部15は互いに同一形状である。
(Shape of the groove and non-magnetic portion)
In the reference example, grooves 52 having a common shape in the circumferential direction of the rotor core 51 are formed on the q-axis Q between the magnetic pole portions 11. The shape of the inner surface 52a of the grooves 52 is formed asymmetrically with respect to the q-axis Q. Meanwhile, in each magnetic pole portion 11, the first non-magnetic portions 14 located on the front side in the rotational direction R of the rotor 21 have the same shape. Also, in each magnetic pole portion 11, the second non-magnetic portions 15 located on the rear side in the rotational direction R have the same shape.

実施例では、各磁極外周面29をd軸Dに対して非対称な形状に形成することと、N極外周面29NとS極外周面29Sと溝部16(溝部17)を含む一極対外周面28をq軸Qに対して非対称な形状に形成することと、の両方によってロータ21の周方向におけるロータコア23と各ティース部32との間の空隙(エアギャップ)での磁束密度分布を正弦波に近づけている。これに対して参考例では、各磁極部11の磁極外周面29を同一形状に形成すると共に、各磁極外周面29をd軸Dに対して非対称な形状に形成することによって、ロータ21の周方向におけるロータコア51と各ティース部32との間の空隙(エアギャップ)での磁束密度分布を正弦波に近づけている。 In the embodiment, the magnetic flux density distribution in the air gap between the rotor core 23 and each tooth portion 32 in the circumferential direction of the rotor 21 is made to be closer to a sine wave by forming each magnetic pole outer surface 29 in an asymmetric shape with respect to the d-axis D and by forming the pole pair outer surface 28 including the N-pole outer surface 29N, the S-pole outer surface 29S, and the groove portion 16 (groove portion 17) in an asymmetric shape with respect to the q-axis Q. In contrast, in the reference example, the magnetic pole outer surfaces 29 of each magnetic pole portion 11 are formed in the same shape, and each magnetic pole outer surface 29 is formed in an asymmetric shape with respect to the d-axis D, thereby making the magnetic flux density distribution in the air gap between the rotor core 51 and each tooth portion 32 in the circumferential direction of the rotor 21 closer to a sine wave.

図15は、参考例のロータ21の周方向における磁束密度分布を示す図である。図15において、縦軸が磁束密度[T]を示し、横軸がロータ21の周方向に対する機械角[度]を示す。図11において、理想的な正弦波を実線で示し、参考例を一点鎖線で示す。図15は、図14に示す2つの磁極部11と溝部52が形成された一極対外周面28の範囲である、機械角が0[度]から120[度]までの範囲について、ロータ21と各ティース部32との間の空隙(エアギャップ)での磁束密度分布を示している。 Figure 15 is a diagram showing the magnetic flux density distribution in the circumferential direction of the rotor 21 of the reference example. In Figure 15, the vertical axis shows the magnetic flux density [T], and the horizontal axis shows the mechanical angle [degrees] with respect to the circumferential direction of the rotor 21. In Figure 11, an ideal sine wave is shown by a solid line, and a reference example is shown by a dashed line. Figure 15 shows the magnetic flux density distribution in the air gap between the rotor 21 and each tooth portion 32 for a mechanical angle range of 0 degrees to 120 degrees, which is the range of the pole-pair outer peripheral surface 28 in which the two magnetic pole portions 11 and groove portions 52 shown in Figure 14 are formed.

図15に示すように、参考例は、実施例と同様に、0[度]近傍、60[度]近傍、120[度]近傍の各位置で、磁束密度が正弦波に重なるように近づけられており、図9に示す比較例と比べて、実施例の磁束密度分布では理想的な正弦波からのずれの大きさ(歪み)が低減されている。特に、比較例と比べて実施例は、60[度]近傍の位置で、理想的な正弦波での60[度]の位置での磁束密度と同様に、磁束密度がほぼ0(ゼロ)[T]になる。 As shown in FIG. 15, in the reference example, similar to the working example, the magnetic flux density is brought close to overlapping with a sine wave at each position near 0 degrees, near 60 degrees, and near 120 degrees, and compared to the comparative example shown in FIG. 9, the magnetic flux density distribution of the working example has a reduced deviation (distortion) from an ideal sine wave. In particular, compared to the comparative example, in the working example, the magnetic flux density is nearly 0 (zero) [T] at a position near 60 degrees, similar to the magnetic flux density at 60 degrees in an ideal sine wave.

(参考例の効果)
したがって、参考例においても、実施例と同様に、N極磁極部11NとS極磁極部11Sの組がなす極対の個数をm個としたとき、磁束密度が0[T]となる点がロータコア51の周方向で360/(2m)[度]の倍数となる機械角にほぼ一致して現れるため、ロータ21の回転制御を適正化することができる。また、ロータ21の周方向における磁束密度分布が360/(2m)[度]の倍数となる機械角の付近で理想的な正弦波に近づけられることで、ロータ21に作用する磁束が滑らかに変化するので、ロータ21の径方向に生じる加振力の変動が抑えられる。その結果、参考例のロータ21を備えた電動機1の径方向に生じる振動を低減し、電動機1の周囲の騒音を低減することができる。
(Effects of the Reference Example)
Therefore, in the reference example, as in the embodiment, when the number of pole pairs formed by the set of the N-pole magnetic pole portion 11N and the S-pole magnetic pole portion 11S is m, the point where the magnetic flux density is 0 [T] appears almost coincident with the mechanical angle that is a multiple of 360/(2m) [degrees] in the circumferential direction of the rotor core 51, so that the rotation control of the rotor 21 can be optimized. In addition, since the magnetic flux density distribution in the circumferential direction of the rotor 21 is made to approach an ideal sine wave near the mechanical angle that is a multiple of 360/(2m) [degrees], the magnetic flux acting on the rotor 21 changes smoothly, so that the fluctuation of the excitation force generated in the radial direction of the rotor 21 is suppressed. As a result, the vibration generated in the radial direction of the electric motor 1 equipped with the rotor 21 of the reference example can be reduced, and the noise around the electric motor 1 can be reduced.

また、図15に示す参考例を、図11に示す実施例と比較すると、参考例よりも実施例の方が、ロータ21の周方向におけるロータ21と各ティース部32との間の空隙(エアギャップ)での磁束密度分布が正弦波に更に近づけられており、正弦波に近づける観点では実施例が好ましい。 In addition, when comparing the reference example shown in FIG. 15 with the embodiment shown in FIG. 11, the magnetic flux density distribution in the air gap between the rotor 21 and each tooth portion 32 in the circumferential direction of the rotor 21 is closer to a sine wave in the embodiment than in the reference example, and the embodiment is preferable in terms of approximating a sine wave.

(変形例)
図16は、変形例のロータコアの要部を示す平面図である。変形例のロータコア61では、永久磁石13の配置が実施例と異なる。図16に示すように、各磁極部11には、2つの板状の永久磁石13が、各永久磁石13の厚さ方向が交差するように略V字状に配置されている。各磁極部11には、2つの永久磁石13の各一端から、ロータコア61の外周面27に向かって延びる2つの非磁性部14、15と、2つの永久磁石13の各他端の間を通るd軸D上に形成された非磁性部19と、が形成されている。変形例においても、永久磁石13の配置にかかわらず、ロータコア61の外周面27が実施例と同様に形成されることで、実施例と同様の効果を得ることができる。
(Modification)
FIG. 16 is a plan view showing a main part of a rotor core of a modified example. In the rotor core 61 of the modified example, the arrangement of the permanent magnets 13 is different from that of the embodiment. As shown in FIG. 16, in each magnetic pole portion 11, two plate-shaped permanent magnets 13 are arranged in a substantially V-shape so that the thickness direction of each permanent magnet 13 intersects. In each magnetic pole portion 11, two non-magnetic portions 14 and 15 extending from one end of each of the two permanent magnets 13 toward the outer circumferential surface 27 of the rotor core 61 and a non-magnetic portion 19 formed on the d-axis D passing between the other ends of the two permanent magnets 13 are formed. In the modified example, regardless of the arrangement of the permanent magnets 13, the outer circumferential surface 27 of the rotor core 61 is formed in the same manner as in the embodiment, so that the same effect as in the embodiment can be obtained.

1 電動機
3 シャフト
11 磁極部
11N N極磁極部
11S S極磁極部
13 永久磁石
14(14a~14f)、15(15a~15f)、19 非磁性部
14E、15E 外周端
16、17、52 溝部
16a、17a 内面
21 ロータ
22 ステータ
23 ロータコア
24 ステータコア
27 外周面
28 一極対外周面
29 磁極外周面
29-F 前方側外周面
29―R 後方側外周面
29N N極外周面(磁極外周面)
29N-F N極前方側外周面(前方側外周面)
29N-R N極後方側外周面(後方側外周面)
29S S極外周面(磁極外周面)
29S-F S極前方側外周面(前方側外周面)
29S-R S極後方側外周面(後方側外周面)
31 ヨーク部
32 ティース部
34 小径外周面
45 巻回部
46 巻き線
A1 溝部領域
A2 径一定領域
A2-F 前方側一定領域
A2-R 後方側一定領域
A3 径変化領域
B1 第1境界線
B2 第2境界線
O 回転中心
D d軸
DN N極d軸
DS S極d軸
Q q軸
R 回転方向
rm 最大曲率半径
r1 第1曲率半径(曲率半径)
r2 第2曲率半径(曲率半径)
REFERENCE SIGNS LIST 1 electric motor 3 shaft 11 magnetic pole portion 11N north pole magnetic pole portion 11S south pole magnetic pole portion 13 permanent magnet 14 (14a to 14f), 15 (15a to 15f), 19 non-magnetic portion 14E, 15E outer circumferential end 16, 17, 52 groove portion 16a, 17a inner surface 21 rotor 22 stator 23 rotor core 24 stator core 27 outer circumferential surface 28 one pole pair outer circumferential surface 29 magnetic pole outer circumferential surface 29-F front outer circumferential surface 29-R rear outer circumferential surface 29N north pole outer circumferential surface (magnetic pole outer circumferential surface)
29N-F N pole front side outer circumferential surface (front side outer circumferential surface)
29N-R N pole rear outer circumferential surface (rear outer circumferential surface)
29S S pole outer circumferential surface (magnetic pole outer circumferential surface)
29S-F S pole front side outer peripheral surface (front side outer peripheral surface)
29S-R S pole rear outer circumferential surface (rear outer circumferential surface)
31 Yoke part 32 Teeth part 34 Small diameter outer circumferential surface 45 Winding part 46 Winding wire A1 Groove area A2 Constant diameter area A2-F Front constant area A2-R Rear constant area A3 Diameter changing area B1 First boundary line B2 Second boundary line O Rotation center D d-axis DN N-pole d-axis DS S-pole d-axis Q q-axis R Rotation direction rm Maximum radius of curvature r1 First radius of curvature (radius of curvature)
r2 Second radius of curvature (radius of curvature)

Claims (21)

永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
前記平面において、前記N極磁極部の前記磁極外周面が、当該N極磁極部におけるd軸であるN極d軸に対して非対称な形状に形成され、前記S極磁極部の前記磁極外周面が、当該S極磁極部におけるd軸であるS極d軸に対して非対称な形状に形成され、
前記N極磁極部の前記磁極外周面は、前記N極d軸に対して前記ロータの回転方向の前方側に位置するN極前方側外周面と、前記N極d軸に対して前記回転方向の後方側に位置するN極後方側外周面と、を有し、
前記平面において前記N極磁極部を前記N極d軸に沿って仮想的に折り返して、前記N極前方側外周面を前記N極後方側外周面に重ねたとき、
前記N極前方側外周面は、前記径方向において前記N極後方側外周面よりも内側に位置すると共に前記N極前方外周面に沿う円弧状の小径外周面を有する、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
In the plane, the magnetic pole outer peripheral surface of the N-pole magnetic pole portion is formed in an asymmetric shape with respect to an N-pole d-axis, which is the d-axis of the N-pole magnetic pole portion, and the magnetic pole outer peripheral surface of the S-pole magnetic pole portion is formed in an asymmetric shape with respect to an S-pole d-axis, which is the d-axis of the S-pole magnetic pole portion,
the magnetic pole outer peripheral surface of the N-pole magnetic pole portion has an N-pole front outer peripheral surface located on the front side of the rotation direction of the rotor with respect to the N-pole d-axis, and an N-pole rear outer peripheral surface located on the rear side of the rotation direction with respect to the N-pole d-axis,
When the N-pole magnetic pole part is virtually folded back along the N-pole d-axis on the plane and the N-pole front outer peripheral surface is superimposed on the N-pole rear outer peripheral surface,
the N-pole front outer peripheral surface is located radially inward of the N-pole rear outer peripheral surface and has an arc-shaped small-diameter outer peripheral surface that follows the N-pole front outer peripheral surface .
永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
前記平面において、前記N極磁極部の前記磁極外周面が、当該N極磁極部におけるd軸であるN極d軸に対して非対称な形状に形成され、前記S極磁極部の前記磁極外周面が、当該S極磁極部におけるd軸であるS極d軸に対して非対称な形状に形成され、
前記S極磁極部の前記磁極外周面は、前記S極d軸に対して前記ロータの回転方向の前方側に位置するS極前方側外周面と、前記S極d軸に対して前記回転方向の後方側に位置するS極後方側外周面と、を有し、
前記平面において前記S極磁極部を前記S極d軸に沿って仮想的に折り返して、前記S極前方側外周面を前記S極後方側外周面に重ねたとき、
前記S極前方側外周面は、前記径方向において前記S極後方側外周面よりも内側に位置すると共に前記S極前方外周面に沿う円弧状の小径外周面を有する、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
In the plane, the magnetic pole outer peripheral surface of the N-pole magnetic pole portion is formed in an asymmetric shape with respect to an N-pole d-axis, which is the d-axis of the N-pole magnetic pole portion, and the magnetic pole outer peripheral surface of the S-pole magnetic pole portion is formed in an asymmetric shape with respect to an S-pole d-axis, which is the d-axis of the S-pole magnetic pole portion,
The magnetic pole outer peripheral surface of the S pole magnetic pole portion has an S pole front outer peripheral surface located on the front side of the S pole d axis in the rotation direction of the rotor, and an S pole rear outer peripheral surface located on the rear side of the S pole d axis in the rotation direction,
When the S-pole magnetic pole portion is virtually folded back along the S-pole d-axis on the plane and the S-pole front outer peripheral surface is superimposed on the S-pole rear outer peripheral surface,
the south pole front outer peripheral surface is located radially inward of the south pole rear outer peripheral surface and has an arc -shaped small diameter outer peripheral surface that follows the south pole front outer peripheral surface .
永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
前記平面において、前記N極磁極部の前記磁極外周面が、当該N極磁極部におけるd軸であるN極d軸に対して非対称な形状に形成され、前記S極磁極部の前記磁極外周面が、当該S極磁極部におけるd軸であるS極d軸に対して非対称な形状に形成され、
前記N極磁極部の前記磁極外周面は、前記N極d軸に対して前記ロータの回転方向の前方側に位置するN極前方側外周面と、前記N極d軸に対して前記回転方向の後方側に位置するN極後方側外周面と、を有し、
前記S極磁極部の前記磁極外周面は、前記S極d軸に対して前記ロータの回転方向の前方側に位置するS極前方側外周面と、前記S極d軸に対して前記回転方向の後方側に位置するS極後方側外周面と、を有し、
前記平面において、前記一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記他方の磁極部に重ねたときに、前記N極後方側外周面と前記S極後方側外周面とは、互いに一致しない形状に形成されている、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
In the plane, the magnetic pole outer peripheral surface of the N-pole magnetic pole portion is formed in an asymmetric shape with respect to an N-pole d-axis, which is the d-axis of the N-pole magnetic pole portion, and the magnetic pole outer peripheral surface of the S-pole magnetic pole portion is formed in an asymmetric shape with respect to an S-pole d-axis, which is the d-axis of the S-pole magnetic pole portion,
the magnetic pole outer peripheral surface of the N-pole magnetic pole portion has an N-pole front outer peripheral surface located on the front side of the rotation direction of the rotor with respect to the N-pole d-axis, and an N-pole rear outer peripheral surface located on the rear side of the rotation direction with respect to the N-pole d-axis,
The magnetic pole outer peripheral surface of the S-pole magnetic pole portion has an S-pole front outer peripheral surface located on the front side of the S-pole d axis in the rotation direction of the rotor, and an S-pole rear outer peripheral surface located on the rear side of the S-pole d axis in the rotation direction,
an electric motor in which, when one of the magnetic pole portions is virtually rotated 360/(2 m) degrees around the center of rotation in the plane and placed over the other magnetic pole portion, the N-pole rear side outer peripheral surface and the S-pole rear side outer peripheral surface are formed in shapes that do not coincide with each other .
前記平面において、前記N極後方側外周面を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記S極後方側外周面に重ねたとき、
前記S極後方側外周面は、前記径方向において前記N極後方側外周面よりも内側に位置する小径外周面を有する、
請求項に記載の電動機。
When the N pole rear outer peripheral surface is virtually rotated 360/(2 m) [degrees] around the rotation center on the plane and superimposed on the S pole rear outer peripheral surface,
The S pole rear side outer peripheral surface has a small diameter outer peripheral surface located more inwardly than the N pole rear side outer peripheral surface in the radial direction.
4. The electric motor according to claim 3 .
前記平面において、前記N極後方側外周面を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記S極後方側外周面に重ねたとき、
前記N極後方側外周面は、前記径方向において前記S極後方側外周面よりも内側に位置する小径外周面を有する、
請求項に記載の電動機。
When the N pole rear outer peripheral surface is virtually rotated 360/(2 m) [degrees] around the rotation center on the plane and superimposed on the S pole rear outer peripheral surface,
The N-pole rear side outer peripheral surface has a small diameter outer peripheral surface located more inward than the S-pole rear side outer peripheral surface in the radial direction.
4. The electric motor according to claim 3 .
前記平面において、前記一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記他方の磁極部に重ねたときに、前記N極前方側外周面と前記S極前方側外周面とは、互いに一致しない形状に形成されている、
請求項に記載の電動機。
In the plane, when the one magnetic pole portion is virtually rotated around the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the N-pole front side outer peripheral surface and the S-pole front side outer peripheral surface are formed in shapes that do not coincide with each other.
4. The electric motor according to claim 3 .
前記平面において、前記N極前方側外周面を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記S極前方側外周面に重ねたとき、
前記S極前方側外周面は、前記径方向において前記N極前方側外周面よりも内側に位置する小径外周面を有する、
請求項に記載の電動機。
When the N-pole front outer peripheral surface is virtually rotated 360/(2 m) [degrees] around the rotation center on the plane and superimposed on the S-pole front outer peripheral surface,
The S pole front outer peripheral surface has a small diameter outer peripheral surface located inside the N pole front outer peripheral surface in the radial direction.
4. The electric motor according to claim 3 .
前記平面において、前記N極前方側外周面を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて前記S極前方側外周面に重ねたとき、
前記N極前方側外周面は、前記径方向において前記S極前方側外周面よりも内側に位置する小径外周面を有する、
請求項に記載の電動機。
When the N-pole front outer peripheral surface is virtually rotated 360/(2 m) [degrees] around the rotation center on the plane and superimposed on the S-pole front outer peripheral surface,
The N-pole front outer peripheral surface has a small diameter outer peripheral surface located inside the S-pole front outer peripheral surface in the radial direction.
4. The electric motor according to claim 3 .
永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
前記ロータコアの外周面には、前記周方向に隣り合う前記磁極部同士の間に、前記外周面が前記径方向に窪んだ溝部が、前記回転中心線に沿って形成され、
前記平面において、前記溝部は、前記周方向に隣り合う前記非磁性部同士の間のみに形成され、前記溝部の内面形状、前記q軸に対して非対称に形成されている、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
A groove portion is formed in an outer peripheral surface of the rotor core between the magnetic pole portions adjacent in the circumferential direction, the outer peripheral surface being recessed in the radial direction along the rotation center line,
an electric motor, wherein on the plane , the groove portion is formed only between the non-magnetic portions adjacent in the circumferential direction, and an inner surface shape of the groove portion is formed asymmetrically with respect to the q axis.
前記平面において、前記周方向に隣り合う前記溝部の内面形状は互いに異なる、
請求項に記載の電動機。
In the plane, the inner surface shapes of the groove portions adjacent to each other in the circumferential direction are different from each other.
10. The electric motor according to claim 9 .
前記平面において、前記ロータコアの前記磁極外周面は、前記d軸から前記溝部に近づくに従って、前記回転中心からの距離が徐々に小さくなる、
請求項に記載の電動機。
In the plane, the distance from the rotation center of the outer circumferential surface of the magnetic pole of the rotor core gradually decreases as the outer circumferential surface approaches the groove from the d axis.
10. The electric motor according to claim 9 .
前記平面において、前記ロータコアの前記磁極外周面の各々は、前記d軸上の位置で前記回転中心からの距離が最大となり、
前記平面において、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面は、前記d軸上の位置で前記回転中心からの距離が等しくなる、
請求項11に記載の電動機。
In the plane, the distance from the center of rotation of each of the magnetic pole outer peripheral surfaces of the rotor core is maximized at a position on the d axis,
In the plane, the magnetic pole outer peripheral surface of the N-pole magnetic pole portion and the magnetic pole outer peripheral surface of the S-pole magnetic pole portion are equidistant from the rotation center at a position on the d-axis.
12. The electric motor according to claim 11 .
永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
前記ロータコアの外周面には、前記周方向に隣り合う前記磁極部同士の間に、前記外周面が前記径方向に窪んだ溝部が、前記回転中心線に沿って形成され、
前記ロータコアの前記外周面は、前記q軸が前記溝部を通るように前記溝部が形成された溝部領域を有し、
前記磁極外周面は、前記d軸が通る位置に形成されて前記回転中心からの距離が一定の径一定領域と、前記溝部領域と前記径一定領域との間に形成されて前記回転中心からの距離が変化する径変化領域と、を有し、
前記径変化領域は、前記径一定領域における前記回転中心からの曲率半径よりも小さい複数の曲率半径で形成されている、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
A groove portion is formed in an outer peripheral surface of the rotor core between the magnetic pole portions adjacent in the circumferential direction, the outer peripheral surface being recessed in the radial direction along the rotation center line,
the outer circumferential surface of the rotor core has a groove region in which the groove is formed such that the q-axis passes through the groove,
the magnetic pole outer circumferential surface has a constant diameter region formed at a position through which the d-axis passes and having a constant distance from the rotation center, and a variable diameter region formed between the groove region and the constant diameter region and having a variable distance from the rotation center,
the radius change region is formed with a plurality of radii of curvature smaller than the radius of curvature from the center of rotation in the constant radius region .
前記径変化領域の前記複数の曲率半径は、前記溝部に近づくに従って曲率半径が徐々に小さくなる、
請求項13に記載の電動機。
The plurality of radii of curvature of the diameter change region are gradually reduced toward the groove portion.
14. The electric motor according to claim 13 .
前記径一定領域は、前記d軸に対して前記ロータの回転方向の前方側に位置する前方側一定領域と、前記d軸に対して前記回転方向の後方側に位置する後方側一定領域と、を有し、
前記前方側一定領域は、前記後方側一定領域よりも前記周方向の大きさが小さい、
請求項13に記載の電動機。
the constant diameter region has a front constant region located on a front side of the d axis in a rotation direction of the rotor, and a rear constant region located on a rear side of the d axis in the rotation direction,
The front constant region has a smaller size in the circumferential direction than the rear constant region.
14. The electric motor according to claim 13 .
各磁極部には、板状の前記永久磁石が、前記永久磁石の厚さ方向が前記d軸に沿うように配置されている、
請求項1に記載の電動機。
In each magnetic pole portion, the plate-shaped permanent magnet is arranged such that the thickness direction of the permanent magnet is aligned along the d axis.
2. The electric motor according to claim 1.
各磁極部には、2つの板状の前記永久磁石が、各永久磁石の厚さ方向が交差するように配置されている、
請求項1に記載の電動機。
In each magnetic pole portion, two plate-shaped permanent magnets are arranged such that the thickness directions of the permanent magnets intersect.
2. The electric motor according to claim 1.
永久磁石が埋め込まれて複数の磁極部が周方向に沿って設けられたロータコアを有するロータと、前記ロータの外周側に配置された複数のティース部を有するステータと、を備え、前記磁極部の極対の個数がm個、前記複数のティース部の個数が3m個であり、前記ロータコアは、前記永久磁石の前記周方向における両端部のそれぞれから連続するように延びる非磁性部を有する電動機であって、
前記ロータの回転中心線に直交する平面において、1つの前記極対である一極対を形成する範囲の前記ロータコアの外周面を一極対外周面としたとき、前記ロータコアの前記外周面は、前記一極対外周面の形状が前記ロータの回転中心に対して回転対称となるように前記周方向にm回繰り返されて形成され、
前記平面において、各磁極部は、前記回転中心と一方の前記非磁性部の前記ロータコアの径方向における外周端とを通る直線である第1境界線と、前記回転中心と他方の前記非磁性部の前記径方向における外周端とを通る直線である第2境界線と、の間における前記外周面に形成された磁極外周面を有し、
前記平面において、前記周方向における前記磁極部の中央と、前記回転中心とを結ぶ直線をd軸とし、前記周方向に隣り合う前記磁極部同士の間の中央と、前記回転中心とを結ぶ直線をq軸として、
各極対は、前記q軸を挟んで配置されたN極磁極部とS極磁極部を有し、
前記平面において、前記N極磁極部と前記S極磁極部のいずれか一方の磁極部を前記回転中心まわりに360/(2m)[度]、仮想的に回転させて他方の磁極部に重ねたときに、前記N極磁極部の前記磁極外周面と前記S極磁極部の前記磁極外周面とは、互いに一致しない形状に形成され、
各磁極部には、板状の前記永久磁石が、前記永久磁石の厚さ方向が前記d軸に沿うように配置され、
各磁極部は、前記永久磁石の両端部から、前記ロータコアの前記外周面に向かって延びる2つの前記非磁性部を有し、
前記S極磁極部が有する前記2つの非磁性部は、当該S極磁極部におけるd軸であるS極d軸に対して互いに非対称な形状に形成され、
前記N極磁極部が有する前記2つの非磁性部は、当該N極磁極部におけるd軸であるN極d軸に対して互いに非対称な形状に形成され、
前記一方の磁極部が有する前記2つの非磁性部を360/(2m)[度]、前記回転中心まわりに仮想的に回転させて前記他方の磁極部が有する前記2つの非磁性部に重ねたときに、前記N極磁極部が有する前記2つの非磁性部と、前記S極磁極部が有する前記2つの非磁性部とは、互いに一致しない形状に形成されている、電動機。
An electric motor comprising: a rotor having a rotor core in which permanent magnets are embedded and in which a plurality of magnetic pole portions are provided along a circumferential direction; and a stator having a plurality of teeth portions arranged on an outer circumferential side of the rotor, wherein the number of pole pairs of the magnetic pole portions is m and the number of the plurality of teeth portions is 3m, and the rotor core has non-magnetic portions extending continuously from both ends of the permanent magnet in the circumferential direction,
When an outer circumferential surface of the rotor core in a range that forms one pole pair in a plane perpendicular to a rotation centerline of the rotor is defined as a one pole pair outer circumferential surface, the outer circumferential surface of the rotor core is formed by repeating a shape of the one pole pair outer circumferential surface m times in the circumferential direction so that the shape of the one pole pair outer circumferential surface is rotationally symmetrical with respect to the rotation center of the rotor,
In the plane, each magnetic pole portion has a magnetic pole outer peripheral surface formed on the outer peripheral surface between a first boundary line which is a straight line passing through the center of rotation and an outer peripheral end of one of the non-magnetic portions in the radial direction of the rotor core, and a second boundary line which is a straight line passing through the center of rotation and an outer peripheral end of the other of the non-magnetic portions in the radial direction,
In the plane, a straight line connecting the center of the magnetic pole portion in the circumferential direction and the rotation center is defined as a d-axis, and a straight line connecting the center between adjacent magnetic pole portions in the circumferential direction and the rotation center is defined as a q-axis.
Each pole pair has an N pole portion and an S pole portion disposed on either side of the q axis,
In the plane, when one of the N-pole magnetic pole portion and the S-pole magnetic pole portion is virtually rotated about the rotation center by 360/(2 m) [degrees] and overlapped with the other magnetic pole portion, the magnetic pole outer circumferential surface of the N-pole magnetic pole portion and the magnetic pole outer circumferential surface of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other,
In each magnetic pole portion, the plate-shaped permanent magnet is disposed such that the thickness direction of the permanent magnet is aligned along the d axis,
Each magnetic pole portion has two non-magnetic portions extending from both ends of the permanent magnet toward the outer circumferential surface of the rotor core,
the two non-magnetic portions of the S-pole magnetic pole portion are formed in shapes asymmetric with respect to an S-pole d-axis, which is a d-axis of the S-pole magnetic pole portion,
the two non-magnetic portions of the N-pole magnetic pole portion are formed in shapes asymmetric with respect to an N-pole d-axis, which is a d-axis of the N-pole magnetic pole portion;
an electric motor in which, when the two non-magnetic portions of one of the magnetic pole portions are virtually rotated around the center of rotation by 360/(2 m) degrees and overlapped with the two non-magnetic portions of the other magnetic pole portion, the two non-magnetic portions of the N-pole magnetic pole portion and the two non-magnetic portions of the S-pole magnetic pole portion are formed in shapes that do not coincide with each other.
前記平面において、前記N極磁極部と前記S極磁極部が有する4つの非磁性部は、形状が互いに異なる、
請求項18に記載の電動機。
In the plane, the four non-magnetic portions of the N-pole magnetic pole portion and the S-pole magnetic pole portion have different shapes from each other.
20. The electric motor of claim 18 .
前記ステータは、環状のヨーク部と、前記ヨーク部から前記径方向の内側へ延びる前記複数のティース部と、を有するステータコアを有し、
前記複数のティース部は、同一の形状に形成されている、
請求項1に記載の電動機。
the stator includes a stator core having an annular yoke portion and the plurality of teeth portions extending radially inward from the yoke portion,
The plurality of teeth portions are formed in the same shape.
2. The electric motor according to claim 1.
各ティース部は、巻き線が集中巻きで巻回された巻回部を有する、
請求項1に記載の電動機。
Each tooth portion has a winding portion in which the winding is wound in a concentrated winding manner.
2. The electric motor according to claim 1.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2008029095A (en) 2006-07-20 2008-02-07 Hitachi Industrial Equipment Systems Co Ltd Permanent magnet type rotating electric machine and compressor using the same
JP2021027724A (en) 2019-08-06 2021-02-22 株式会社デンソー Rotor and motor
CN114844313A (en) 2022-06-10 2022-08-02 江苏大学 A dual three-phase asymmetric alternating pole permanent magnet assisted synchronous reluctance motor
WO2022220586A1 (en) 2021-04-13 2022-10-20 엘지이노텍 주식회사 Motor

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2008029095A (en) 2006-07-20 2008-02-07 Hitachi Industrial Equipment Systems Co Ltd Permanent magnet type rotating electric machine and compressor using the same
JP2021027724A (en) 2019-08-06 2021-02-22 株式会社デンソー Rotor and motor
WO2022220586A1 (en) 2021-04-13 2022-10-20 엘지이노텍 주식회사 Motor
CN114844313A (en) 2022-06-10 2022-08-02 江苏大学 A dual three-phase asymmetric alternating pole permanent magnet assisted synchronous reluctance motor

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