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JPH0785672B2 - Three-phase synchronous motor speed controller - Google Patents
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JPH0785672B2 - Three-phase synchronous motor speed controller - Google Patents

Three-phase synchronous motor speed controller

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Publication number
JPH0785672B2
JPH0785672B2 JP61051880A JP5188086A JPH0785672B2 JP H0785672 B2 JPH0785672 B2 JP H0785672B2 JP 61051880 A JP61051880 A JP 61051880A JP 5188086 A JP5188086 A JP 5188086A JP H0785672 B2 JPH0785672 B2 JP H0785672B2
Authority
JP
Japan
Prior art keywords
phase
circuit
signal
speed
command signal
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
JP61051880A
Other languages
Japanese (ja)
Other versions
JPS62210884A (en
Inventor
広志 黒丸
孝敏 小暮
昭広 星野
正義 中井
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Mitsubishi Heavy Industries Ltd
Original Assignee
Mitsubishi Heavy Industries Ltd
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Filing date
Publication date
Application filed by Mitsubishi Heavy Industries Ltd filed Critical Mitsubishi Heavy Industries Ltd
Priority to JP61051880A priority Critical patent/JPH0785672B2/en
Publication of JPS62210884A publication Critical patent/JPS62210884A/en
Publication of JPH0785672B2 publication Critical patent/JPH0785672B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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  • Control Of Motors That Do Not Use Commutators (AREA)

Description

【発明の詳細な説明】 〔産業上の利用分野〕 本発明は、ブラシレス・サーボモータ等の三相同期電動
機の速度制御装置に関する。
TECHNICAL FIELD The present invention relates to a speed control device for a three-phase synchronous motor such as a brushless servomotor.

〔従来の技術〕[Conventional technology]

ブラシレス・モータは、一般の永久磁石形同期機と同様
で、固定電機子と回転磁石界磁とから構成されている。
界磁には、永久磁石が用いられる。ブラシレス・モータ
は、一般的な磁石界磁形直流サーボモータの電機子と磁
石界磁の位置が内と外で逆になっており、ブラシとコミ
ュテータによる整流機構が、回転子位置検出機構と半導
体スイッチに置き換えられたものである。
The brushless motor is similar to a general permanent magnet type synchronous machine, and is composed of a fixed armature and a rotating magnet field.
A permanent magnet is used for the field. In a brushless motor, the positions of the armature and the magnet field of a general magnet field type DC servo motor are reversed inside and outside, and the rectification mechanism by the brush and commutator has a rotor position detection mechanism and a semiconductor. It was replaced by a switch.

以下、ブラシレス・モータのトルク発生原理について説
明する。
The torque generation principle of the brushless motor will be described below.

ブラシレス・モータのトルクは直流モータと同様に電機
子起磁力と回転子の磁束が常に直交関係を保つように、
電機子巻線に電流を供給することにより得られる。回転
子の磁束はファラデーの法則,レンツの法則により電機
子巻線の誘起電圧波形にて間接的に観測できるので、上
述の回転子位置検出機構の基準位置を誘起電圧波形に合
せ、決めておくことにより取るべき電機子起磁力方向が
判定できる。ブラシレス・モータの電機子巻線は通常三
相の平衡巻線であるので回転子の回動により、各々の電
機子巻線には、互いに回転子の基準位置からの変位角
(電気角)で120度位相のずれた誘起電圧が発生する。
各相の電機子導体に交差する磁束は円周方向に正弦波状
に分布する様にモータ磁気回路が設計されている。すな
わち、各相の磁束密度をBu,Bv,Bw磁束密度の最大値を
Bm、回転子の変位角をθとすると、 Bu=Bm・sin(θ) ……(1) Bv=mm・sin(θ−120°) ……(2) Bw=Bm・sin(θ−240°) ……(3) となる。ブラシレス・モータの発生トルクTは各相の発
生トルクの和となり、フレミングの法則より、 で示される(但しK:定数)。ここで、各相の電機子電流
Iu,Iv,Iwを正弦波状とし、位相情報を各々の磁束密度
の位相に一致させることにより T∝sin2θ+sin2(θ−120°)+sin2(θ−240
°)=1.5 ……(5) となり発生トルクTは電機子電流と磁束密度のそれぞれ
の最大値の積にのみ依存し、回転子の変位角θには無
関係となる。
As with DC motors, the brushless motor torque is such that the armature magnetomotive force and rotor magnetic flux always maintain an orthogonal relationship.
Obtained by supplying current to the armature winding. Since the magnetic flux of the rotor can be indirectly observed in the induced voltage waveform of the armature winding according to Faraday's law and Lenz's law, the reference position of the rotor position detection mechanism described above should be determined according to the induced voltage waveform. Therefore, the direction of the armature magnetomotive force to be taken can be determined. Since the armature winding of a brushless motor is usually a three-phase balanced winding, the rotation of the rotor causes each armature winding to have a displacement angle (electrical angle) from the reference position of the rotor. An induced voltage with a phase difference of 120 degrees is generated.
The motor magnetic circuit is designed so that the magnetic flux intersecting the armature conductors of each phase is distributed in a sinusoidal shape in the circumferential direction. That is, the maximum value of the magnetic flux density of each phase is B u , B v , B w
If B m and the displacement angle of the rotor are θ r , then B u = B m · sin (θ r ) …… (1) B v = m m · sin (θ r −120 °) …… (2) B w = B m · sin (θ r −240 °) (3) The generated torque T of the brushless motor is the sum of the generated torque of each phase, and from Fleming's law, Is shown (however, K: constant). Where the armature current of each phase
By making I u , I v , and I w sinusoidal and matching the phase information with the phase of each magnetic flux density, T ∝sin 2 θ r + sin 2r −120 °) + sin 2r −240
°) = 1.5 (5) and the generated torque T depends only on the product of the maximum values of the armature current and the magnetic flux density, and is irrelevant to the rotor displacement angle θ r .

次に従来のブラシレス・サーボモータの速度制御装置を
第8図に基づき説明する。
Next, a conventional speed control device for a brushless servomotor will be described with reference to FIG.

速度指令回路1は所定の速度指令に対応した速度指令信
号を発生する。速度補償回路2は速度指令回路1からの
速度指令信号と速度検出回路9からの速度帰還信号とか
ら得られる速度偏差信号にPID補償演算を施し、電流指
令信号を生成する。三相電流指令回路3は、速度補償回
路2からの電流指令信号と変位角検出回路8からの変位
角信号とにより電機子巻線三相分の三相電流指令信号を
生成する。電流補償回路4は、三相電流指令回路3から
の三相電流指令信号と三相電流検出回路6にて検出した
電機子巻線三相分の電流検出信号とから得られる三相分
の電流偏差信号にPID補償演算を施し、三相電圧指令信
号を生成する。増幅回路5は電流補償回路4からの三相
電圧指令信号を増幅し、三相同期電動機7を駆動する。
また、変位角検出回路8と速度検出回路9は、各々のセ
ンサ部が三相同期電動機7の回転子軸に連結され、変位
角θ,速度 をそれぞれ検出する。
The speed command circuit 1 generates a speed command signal corresponding to a predetermined speed command. The speed compensation circuit 2 performs a PID compensation calculation on the speed deviation signal obtained from the speed command signal from the speed command circuit 1 and the speed feedback signal from the speed detection circuit 9 to generate a current command signal. The three-phase current command circuit 3 generates three-phase current command signals for three armature winding phases from the current command signal from the speed compensation circuit 2 and the displacement angle signal from the displacement angle detection circuit 8. The current compensating circuit 4 is a current for three phases obtained from the three-phase current command signal from the three-phase current command circuit 3 and the current detection signal for the three phases of the armature winding detected by the three-phase current detection circuit 6. Performs PID compensation calculation on the deviation signal to generate a three-phase voltage command signal. The amplifier circuit 5 amplifies the three-phase voltage command signal from the current compensation circuit 4 and drives the three-phase synchronous motor 7.
Further, in the displacement angle detection circuit 8 and the speed detection circuit 9, each sensor unit is connected to the rotor shaft of the three-phase synchronous motor 7, and the displacement angle θ r and the speed are detected. Respectively detected.

〔発明が解決しようとする問題点〕[Problems to be solved by the invention]

ところで、三相同期電動機のトルク・リップルを防止す
るためには前述のごとく電機子電流の位相を正確に、磁
束密度の位相に一致させる必要がある。磁束の位相は電
機子の回転角により決まるため、高速回転時においては
磁束の位相変化も大きくなる。従って、電機子電流の制
御は高速応答性が要求される。
By the way, in order to prevent the torque ripple of the three-phase synchronous motor, it is necessary to exactly match the phase of the armature current with the phase of the magnetic flux density as described above. Since the phase of the magnetic flux is determined by the rotation angle of the armature, the phase change of the magnetic flux also increases during high speed rotation. Therefore, control of the armature current requires high-speed response.

従来装置における電機子電流の制御は前述のごとく電流
補償回路のPID制御により行なわれているが、トルク・
リップルを十分に抑制する程には応答性が良くなく、従
ってより高性能な制御方式が望まれるところであった。
Control of the armature current in the conventional device is performed by the PID control of the current compensation circuit as described above.
The response was not good enough to suppress the ripple sufficiently, and therefore a higher performance control system was desired.

本発明は、このような点を考慮し、高速応答性に優れ、
トルク・リップルの少ない三相同期電動機の速度制御装
置を提供することを目的とする。
In consideration of such a point, the present invention is excellent in high-speed response,
It is an object of the present invention to provide a speed control device for a three-phase synchronous motor with less torque and ripple.

〔問題点を解決するための手段〕[Means for solving problems]

従来の電流制御系はPID補償演算にて、電機子巻線印加
電圧(三相電圧指令信号)を決めていたが、本発明では
電流制御系内に電機子巻線の等価回路を持ち、その等価
回路によりインダクタンスおよび直流抵抗の電圧降下や
誘起電圧を予測して、電機子電流が電機子電流指令値に
一致するような電機子巻線印加電圧を演算し出力するよ
うにしている。なお本発明では、電機子巻線印加電圧演
算回路規模を縮小するため、三相同期電動機でありなが
ら検出器及び制御演算回路を二相にて構成している。
Although the conventional current control system determines the armature winding applied voltage (three-phase voltage command signal) by PID compensation calculation, the present invention has an equivalent circuit of the armature winding in the current control system. The equivalent circuit predicts the voltage drop and induced voltage of the inductance and DC resistance, and calculates and outputs the armature winding applied voltage such that the armature current matches the armature current command value. In the present invention, in order to reduce the scale of the armature winding applied voltage calculation circuit, the detector and the control calculation circuit are configured in two phases even though the motor is a three-phase synchronous motor.

第1図は本願の第1の発明の構成を示す図で、1は速度
指令回路,2は速度補償回路,11は二相電流指令回路,12は
インダクタンス電圧降下予測回路,13は直流抵抗電圧降
下予測回路,14は誘起電圧予測回路,15は二相電圧指令回
路,16は二相三相変換回路,5は増幅回路,17は二相電流検
出回路,7は三相同期電動機,18は二相変位角検出回路,9
は速度検出回路である。二相変位角検出回路18及び速度
検出回路9のセンサ部は共に三相同期電動機7の回転子
軸に連結駆動される。
FIG. 1 is a diagram showing the configuration of the first invention of the present application, in which 1 is a speed command circuit, 2 is a speed compensation circuit, 11 is a two-phase current command circuit, 12 is an inductance voltage drop prediction circuit, and 13 is a DC resistance voltage. Fall prediction circuit, 14 induced voltage prediction circuit, 15 two-phase voltage command circuit, 16 two-phase three-phase conversion circuit, 5 amplification circuit, 17 two-phase current detection circuit, 7 three-phase synchronous motor, 18 Two-phase displacement angle detection circuit, 9
Is a speed detection circuit. The two-phase displacement angle detection circuit 18 and the sensor section of the speed detection circuit 9 are both connected and driven to the rotor shaft of the three-phase synchronous motor 7.

速度指令回路1は所定の速度指令に対応した速度指令信
号を発生する。
The speed command circuit 1 generates a speed command signal corresponding to a predetermined speed command.

速度補償回路2は速度指令信号と速度検出回路9からの
速度帰還信号とから得られる速度偏差信号にPID補償演
算を施し、電流指令信号を生成する。二相電流指令回路
11は電流指令信号と二相変位角検出回路18からの二相回
転角信号とにより二相電流指令信号を生成する。インダ
クタンス電圧降下予測回路12では二相電流指令信号と二
相電流検出回路17からの二相電流帰還信号及び電機子巻
線二相インダクタンス値とから、電機子巻線インダクタ
ンスによる二相電圧降下値を予測する。直流抵抗電圧降
下予測回路13は二相電流指令信号あるいは二相電流帰還
信号と電機子巻線の直流抵抗値より電機子巻線の直流抵
抗による二相電圧降下値を予測する。誘起電圧予測回路
14は、二相変位角検出回路18からの二相回転角信号から
電機子巻線二相誘起電圧値を予測する。二相電圧指令回
路15は、インダクタンス電圧降下予測回路12の二相イン
ダクタンスによる二相電圧降下信号と、直流抵抗電圧降
下予測回路13の二相直流抵抗による二相電圧降下信号と
誘起電圧予測回路14の二相誘起電圧信号とから二相電圧
指令信号を生成する。二相・三相変換回路16は、二相電
圧指令回路15からの二相電圧指令信号を三相電圧指令信
号に変換する。増幅回路5は、二相・三相変換回路16か
らの三相電圧指令信号を増幅し三相同期電動機を駆動す
る。
The speed compensation circuit 2 performs a PID compensation calculation on the speed deviation signal obtained from the speed command signal and the speed feedback signal from the speed detection circuit 9 to generate a current command signal. Two-phase current command circuit
Reference numeral 11 generates a two-phase current command signal based on the current command signal and the two-phase rotation angle signal from the two-phase displacement angle detection circuit 18. The inductance voltage drop prediction circuit 12 calculates the two-phase voltage drop value due to the armature winding inductance from the two-phase current command signal, the two-phase current feedback signal from the two-phase current detection circuit 17, and the armature winding two-phase inductance value. Predict. The DC resistance voltage drop prediction circuit 13 predicts the two-phase voltage drop value due to the DC resistance of the armature winding from the two-phase current command signal or the two-phase current feedback signal and the DC resistance value of the armature winding. Induced voltage prediction circuit
14 predicts the armature winding two-phase induced voltage value from the two-phase rotation angle signal from the two-phase displacement angle detection circuit 18. The two-phase voltage command circuit 15 includes a two-phase voltage drop signal by the two-phase inductance of the inductance voltage drop prediction circuit 12, a two-phase voltage drop signal by the two-phase DC resistance of the DC resistance voltage drop prediction circuit 13, and an induced voltage prediction circuit 14. A two-phase voltage command signal is generated from the two-phase induced voltage signal. The two-phase / three-phase conversion circuit 16 converts the two-phase voltage command signal from the two-phase voltage command circuit 15 into a three-phase voltage command signal. The amplifier circuit 5 amplifies the three-phase voltage command signal from the two-phase / three-phase conversion circuit 16 and drives the three-phase synchronous motor.

また、第2図は本願の第2の発明の構成を示す図であ
り、第1図と同一部分には同一符号を付してある。した
がって、重複する説明は省略する。21は二相速度指令回
路であり、速度指令回路1からの速度指令信号と二相変
位角検出回路18の二相回転角信号とにより二相速度指令
信号を生成する。微分回路23は二相変位角検出回路18か
らの二相回転角信号を微分し二相速度帰還信号を生成す
る。二相速度補償回路22は二相速度指令回路21からの二
相速度指令信号と微分回路23からの二相速度帰還信号と
から得られる速度偏差信号にp補償演算を施し二相電流
指令信号を生成する。誘起電圧予測回路24は二相速度指
令回路21からの二相速度指令信号から電機子巻線二相誘
起電圧値を予測する。
Further, FIG. 2 is a diagram showing a configuration of a second invention of the present application, and the same portions as those in FIG. 1 are denoted by the same reference numerals. Therefore, redundant description will be omitted. Reference numeral 21 is a two-phase speed command circuit, which generates a two-phase speed command signal from the speed command signal from the speed command circuit 1 and the two-phase rotation angle signal of the two-phase displacement angle detection circuit 18. The differentiating circuit 23 differentiates the two-phase rotation angle signal from the two-phase displacement angle detecting circuit 18 to generate a two-phase velocity feedback signal. The two-phase speed compensating circuit 22 performs a p-compensation operation on the speed deviation signal obtained from the two-phase speed command signal from the two-phase speed command circuit 21 and the two-phase speed feedback signal from the differentiating circuit 23 to generate a two-phase current command signal. To generate. The induced voltage prediction circuit 24 predicts the armature winding two-phase induced voltage value from the two-phase speed command signal from the two-phase speed command circuit 21.

〔作用〕[Action]

作用を説明するに当り、まず本発明の基礎をなす理論を
説明する。
In explaining the operation, the theory underlying the present invention will be described first.

第3図に三相同期電動機の一相分の電機子巻線の等価回
路を示す。ここでr1は電機子巻線直流抵抗を、L1は電機
子巻線インダクタンスを、euはu相の電機子巻線の誘起
電圧を、Vuはu相の電機子巻線印加電圧を、Iuはu相の
電機子巻線電流をそれぞれ示す。同様にev,ew,Vv
Vw,Iv,Iwは各々v相w相の誘起電圧,印加電圧,巻線
電流とする。
FIG. 3 shows an equivalent circuit of the armature winding for one phase of the three-phase synchronous motor. Where r 1 is the armature winding DC resistance, L 1 is the armature winding inductance, e u is the induced voltage in the u-phase armature winding, and V u is the u-phase armature winding applied voltage. , I u represents the u-phase armature winding current, respectively. Similarly, e v , e w , V v ,
V w , I v , and I w are the v-phase w-phase induced voltage, the applied voltage, and the winding current, respectively.

三相同期電動機の電機子巻線電圧方程式は、 (但し、p:微分演算子)で表わせる。The armature winding voltage equation for a three-phase synchronous motor is (However, p: differential operator)

各相の誘起電圧は、回転子の変位角をθ,誘起電圧定
数をKEとすると となる。すなわち電機子電流Iu,Iv,Iwを流すために
は、(6)式,(7)式を満たす電機子印加電圧Vu
Vv,Vwを印加すれば良い。本発明では、演算回路規模を
縮小するために上記電機子印加電圧を求める演算を二相
回路にて行なっている。(6),(7)式を第4図にて
定義される三相−二相変換するため、座標変換行列 を用いると、 となる。ここにおいても、電機子電流Iα,Iβを流すた
めにはVα,Vβを印加すれば良いことは言うまでもな
い。
The induced voltage of each phase is given by the rotor displacement angle θ r and the induced voltage constant K E. Becomes That is, in order to flow the armature currents I u , I v , and I w , the armature applied voltage V u , which satisfies the formulas (6) and (7),
It is sufficient to apply V v and V w . In the present invention, the calculation for obtaining the armature applied voltage is performed by the two-phase circuit in order to reduce the scale of the arithmetic circuit. In order to convert the equations (6) and (7) into the three-phase / two-phase transformation defined in FIG. 4, the coordinate transformation matrix With, Becomes Also in this case, needless to say, V α and V β may be applied in order to flow the armature currents I α and I β .

ここでIα *,Iβ *を二相電流指令信号,Vα *,Vβ *を二相
電圧指令信号,Iα,Iβを二相電流帰還信号とすると
(8)式,(11)式より またインダクタンス項は と近似できるため(但し、ΔT:微小時間)(12)式は と表わすことができる。すなわち二相電流指令信号Iα
*,Iβ *,二相電流帰還信号Iα,Iβ及び二相速度帰還情
が判明すれば、(14)式により電機子巻線に印加すべき
最適な二相電圧指令信号Vα *,Vβ *が求まる。
Where I α * , I β * are two-phase current command signals, V α * , V β * are two-phase voltage command signals, and I α , I β are two-phase current feedback signals, equation (8), (11 ) From the formula And the inductance term is Can be approximated (however, ΔT: minute time) Can be expressed as That is, the two-phase current command signal I α
* , I β * , two-phase current feedback signals I α , I β and two-phase velocity feedback information If it is found that the optimum two-phase voltage command signals V α * and V β * to be applied to the armature winding can be obtained from the equation (14).

ここで、二相電流帰還信号Iα,Iβは二相における値
で、直接的には検出できないため、三相の電流検出値
Iu,Iv,Iwより(10)式にて算出する。
Here, since the two-phase current feedback signals I α and I β are values in two phases and cannot be directly detected, the three-phase current detection values
It is calculated from I u , I v , and I w by the equation (10).

すなわち、三相電流の和がゼロになる性質を利用して ここで求まった二相電圧指令信号Vα *,Vβ *は二相にお
ける値で、三相電圧指令信号とする必要があるが、これ
は二相−三相変換行列を用い次式にて求める。
That is, using the property that the sum of the three-phase currents becomes zero, The two-phase voltage command signals V α * and V β * obtained here are values in two phases and must be three-phase voltage command signals. This is calculated by the following equation using a two-phase to three-phase conversion matrix. Ask.

本発明では、インダクタンス電圧降下予測回路12と直流
抵抗電圧降下予測回路13とでそれぞれ、電機子巻線のイ
ンダクタンス,直流抵抗の電圧降下を予測し、誘起電圧
予測回路14または24で電機子巻線の誘起電圧を予測して
いるので電機子電流が電機子電流指令値に一致する。
In the present invention, the inductance voltage drop prediction circuit 12 and the DC resistance voltage drop prediction circuit 13 predict the inductance and DC resistance voltage drop of the armature winding, respectively, and the induced voltage prediction circuit 14 or 24 predicts the armature winding. Since the induced voltage is predicted, the armature current matches the armature current command value.

〔実施例〕〔Example〕

第5図に本発明の一実施例の構成を示す。速度指令回路
1は直流電源101,102を可変抵抗器103にて分圧し、所定
の速度指令に応じた速度指令信号Vrefを出力する。速度
補償回路2は速度指令信号Vrefと速度検出回路9からの
速度帰還信号 との偏差を演算する加算器105と偏差信号にPID補償演算
を行ない電流指令信号を生成するPID演算器106とから成
る。二相電流指令回路11は、前記電流指令信号と二相変
位角検出回路18からの二相角信号 を各々乗算して二相電流指令信号Iα *,Iβ *を生成する
乗算器111,112からなる。インダクタンス電圧降下予測
回路12は二相電流指令信号Iα *,Iβ *と二相電流検出回
路17からの二相電流帰還信号Iα,Iβとの二相電流偏差
を取る加算器121,122と、二相電流偏差に の値を乗算し電機子巻線インダクタンスによる二相の電
圧降下信号を出力する乗算器123,124とから成る。直流
抵抗電圧降下予測回路13は二相電流指令信号Iα *,Iβ *
あるいは二相電流帰還信号Iα,Iβに電機子巻線直流抵
抗値r1の値を乗算し電機子巻線直流抵抗による二相の電
圧降下信号を出力する乗算器131,132とから成る。誘起
電圧予測回路14は二相回転角信号 を微分器141,142にて各々微分し二相速度帰還信号 を生成し乗算器143,144にて各々KE,−KE倍し電機子巻
線における二相の誘起電圧信号を出力する。二相電圧指
令回路15は加算器151,152,153,154とから成り、インダ
クタンス電圧降下予測回路12の出力信号と、直流抵抗電
圧降下予測回路13の出力信号と、誘起電圧予測回路14の
出力信号とを加算し、二相電圧指令信号Vα *,Vβ *を出
力する。二相・三相変換回路16は乗算器161,162,163、
加算器164,165とから成り乗算器161では二相電圧指令信
号のVα *し三相電圧指令信号のVu *を出力し乗算器162では同じく
α *し、乗算器163では二相電圧指令信号のVβ *する。加算器164では乗算器162と乗算器163の出力を加
算し三相電圧指令信号のVu *を出力し、加算器165では乗
算器161及び加算器164の出力を反転加算し、三相電圧指
令信号のVw *を出力する。
FIG. 5 shows the configuration of an embodiment of the present invention. The speed command circuit 1 divides the DC power supplies 101 and 102 by the variable resistor 103 and outputs a speed command signal V ref according to a predetermined speed command. The speed compensation circuit 2 receives the speed command signal V ref and the speed feedback signal from the speed detection circuit 9. And an PID calculator 106 that performs a PID compensation calculation on the deviation signal to generate a current command signal. The two-phase current command circuit 11, the current command signal and the two-phase angle signal from the two-phase displacement angle detection circuit 18 And multipliers 111 and 112 for respectively generating the two-phase current command signals I α * and I β * . The inductance voltage drop prediction circuit 12 includes adders 121 and 122 for taking a two-phase current deviation between the two-phase current command signals I α * , I β * and the two-phase current feedback signals I α , I β from the two-phase current detection circuit 17. , To the two-phase current deviation And multipliers 123 and 124 for outputting a two-phase voltage drop signal due to the armature winding inductance. The DC resistance voltage drop prediction circuit 13 uses the two-phase current command signals I α * , I β *.
Alternatively, it comprises multipliers 131 and 132 for multiplying the two-phase current feedback signals I α and I β by the value of the armature winding DC resistance value r 1 and outputting a two-phase voltage drop signal due to the armature winding DC resistance. The induced voltage prediction circuit 14 is a two-phase rotation angle signal. Are differentiated by differentiators 141 and 142 respectively, and a two-phase velocity feedback signal is obtained. Are generated and multiplied by K E and −K E in multipliers 143 and 144, respectively, and a two-phase induced voltage signal in the armature winding is output. The two-phase voltage command circuit 15 is composed of adders 151, 152, 153, 154, and adds the output signal of the inductance voltage drop prediction circuit 12, the output signal of the DC resistance voltage drop prediction circuit 13, and the output signal of the induced voltage prediction circuit 14, Two-phase voltage command signals V α * and V β * are output. The two-phase / three-phase conversion circuit 16 includes multipliers 161, 162, 163,
The multiplier 161 is composed of adders 164 and 165, and V α * of the two-phase voltage command signal is calculated in the multiplier 161. The three-phase voltage command signals V u * also the output to multiplier 162 V alpha * Then, the multiplier 163 calculates V β * of the two-phase voltage command signal To do. In the adder 164, the outputs of the multipliers 162 and 163 are added to output V u * of the three-phase voltage command signal, and in the adder 165, the outputs of the multiplier 161 and the adder 164 are inverted and added to obtain the three-phase voltage. Output V w * of the command signal.

すなわち二相・三相変換回路16では、前述の(16)式の
演算を行なっている。増幅回路5は、三相分の増幅器16
6,167,168とから成っており、三相電圧指令信号Vu *,Vu
*,Vw *を増幅し、三相同期電動機7を駆動する。二相電
流検出回路17は、各相毎の電流検出器171,172,173から
得られた三相電流帰還信号Iu,Iv,Iwから二相電流帰還
信号Iα及Iβを生成する。すなわち加算器174では、I
vからIwを減算し得られた値に乗算器175にて し、二相電流帰還信号のIβを出力する。乗算器176で
はIuし二相電流帰還信号のIαを出力する。
That is, the two-phase / three-phase conversion circuit 16 performs the operation of the above-mentioned equation (16). The amplifier circuit 5 includes an amplifier 16 for three phases.
6,167,168, and three-phase voltage command signals V u * , V u
Amplifies * , V w * and drives the three-phase synchronous motor 7. The two-phase current detection circuit 17 generates two-phase current feedback signals I α and I β from the three-phase current feedback signals I u , I v and I w obtained from the current detectors 171, 172 and 173 for each phase. That is, in the adder 174, I
The value obtained by subtracting I w from v is multiplied by the multiplier 175. Then, I β of the two-phase current feedback signal is output. In the multiplier 176 I u Then, I α of the two-phase current feedback signal is output.

すなわち前述の(15)式の演算を行なっている。二相変
位角検出回路18は、二相励磁,二相出力タイプのレゾル
バ181を用いる。発振回路182はレゾルバ励磁信号生成の
ためのクロック信号を発生する。90°位相差発生回路18
3は上記クロック信号を入力し互いに90度位相のずれ
た、かつ励磁信号周波数ω/2πに等しい二相信号を出力
する。バンドパスフィルタ184,185は中心周波数ω/2π
の帯域フィルタであり、二相信号の高調波成分を除去し
二相の正弦波sinωt,cosωtとする。この二相の正弦波
は増幅器186,187により増幅され、レゾルバの一次巻線
を励磁する。レゾルバ181は一次巻線を励磁信号周等数
ω/2πを持つ二相の正弦波にて励磁すると二次巻線には
変位角θにて位相変調された二相正弦波信号sin(ω
t−θ),cos(ωt−θ)が誘起される。
That is, the calculation of equation (15) is performed. The two-phase displacement angle detection circuit 18 uses a two-phase excitation, two-phase output type resolver 181. The oscillator circuit 182 generates a clock signal for generating a resolver excitation signal. 90 ° phase difference generator 18
3 inputs the clock signal and outputs a two-phase signal which is 90 degrees out of phase with each other and which is equal to the excitation signal frequency ω / 2π. Bandpass filters 184 and 185 have center frequency ω / 2π
Is a band-pass filter for removing the harmonic components of the two-phase signal to obtain two-phase sine waves sinωt and cosωt. The two-phase sine wave is amplified by the amplifiers 186 and 187, and excites the primary winding of the resolver. The resolver 181 is a primary winding of the excitation signal in the secondary winding is excited by a sine wave of peripheral such as a two-phase with several omega / 2 [pi displacement angle theta r in the phase-modulated two-phase sine wave signal sin (omega
t−θ r ), cos (ωt−θ r ) is induced.

乗算器191では信号cosωt及びsin(ωt−θ)の乗
算を、また乗算器192では信号sinωt及びcos(ωt−
θ)の乗算を行ない、加算器193にてこれら乗算結果
の加算を行なう。つまり、 sinωt・cos(ωt−θ)−cosωt・sin(ωt−θ
)=sinθ …(17) が求められ、加算結果は、sinθとなる。同様に乗算
器194では信号sinωt及びsin(ωt−θ)の乗算を
乗算器195では信号cosωt及びcos(ωt−θ)の乗
算を行ない加算器196にてこれら乗算結果の加算を行な
う。つまり、 cosωt・cos(ωt−θ)+sinωt・sin(ωt−θ
)=cosθ ……(18) が求められ、加算結果はcosθとなる。
The multiplier 191 multiplies the signals cos ωt and sin (ωt−θ r ) and the multiplier 192 multiplies the signals sinωt and cos (ωt−).
θ r ) is multiplied, and the adder 193 adds these multiplication results. That is, sin ωt · cos (ωt−θ r ) −cos ωt · sin (ωt−θ
r ) = sin θ r (17) is obtained, and the addition result is sin θ r . Similarly, the multiplier 194 multiplies the signals sinωt and sin (ωt−θ r ) by the multiplier 195, and the signals cosωt and cos (ωt−θ r ) by the multiplier 196. The adder 196 adds the multiplication results. That is, cos ωt · cos (ωt−θ r ) + sin ωt · sin (ωt−θ
r ) = cos θ r (18) is obtained, and the addition result is cos θ r .

乗算器197,198は得られた二相正弦波sinθ,cosθ
各々 して二相正弦波 として出力する。速度検出回路9は速度発電機等により
構成されるが、上記二相変位角検出回路18の信号から電
子回路にて速度帰還信号を生成することも可能である。
Multipliers 197 and 198 respectively obtain the obtained two-phase sine waves sin θ r and cos θ r And two-phase sine wave Output as. The speed detection circuit 9 is composed of a speed generator or the like, but it is also possible to generate a speed feedback signal by an electronic circuit from the signal of the two-phase displacement angle detection circuit 18.

第6図は二相変位角検出回路18の信号から速度帰還信号 を生成する回路構成を示している。第6図において微分
器201,202はレゾルバ181の二次励磁巻線に誘起された二
相正弦波sin(ωt−θ),cos(ωt−θ)をそれ
ぞれ微分し を生成する。乗算器203では信号 及びcos(ωt−θ)の乗算を行ない、乗算器204では
信号 及びsin(ωt−θ)の乗算を行なう。加算器205は乗
算器203の出力信号から乗算器204の出力信号を減算する
ことにより 信号を生成する。
FIG. 6 shows the velocity feedback signal from the signal of the two-phase displacement angle detection circuit 18. 2 shows a circuit configuration for generating In FIG. 6, differentiators 201 and 202 respectively differentiate the two-phase sine waves sin (ωt−θ r ) and cos (ωt−θ r ) induced in the secondary excitation winding of the resolver 181. To generate. The signal at the multiplier 203 And cos (ωt−θ r ) are multiplied and the multiplier 204 outputs the signal And sin (ωt−θ r ) are multiplied. The adder 205 subtracts the output signal of the multiplier 204 from the output signal of the multiplier 203. Generate a signal.

加算器206では定数設定器207にて設定したω信号から加
算器205の出力を減算して 信号を生成する。
The adder 206 subtracts the output of the adder 205 from the ω signal set by the constant setter 207. Generate a signal.

以上の構成により、三相同期電動機7の電機子巻線には
電機子電流が電機子電流指令値に一致するような印加電
圧が付与される。
With the above configuration, an applied voltage is applied to the armature winding of the three-phase synchronous motor 7 so that the armature current matches the armature current command value.

次に本発明の第二の実施例を第7図に基き説明する。第
7図において、二相速度指令回路21,二相速度補償回路2
2,誘起電圧予測回路24,微分回路23を除いて他の構成、
作用は第5図と同様であるので二相速度指令回路21,二
相速度補償回路22,微分回路23,誘起電圧予測回路24,に
ついてのみ説明する。
Next, a second embodiment of the present invention will be described with reference to FIG. In FIG. 7, a two-phase speed command circuit 21, a two-phase speed compensation circuit 2
2, other configuration except the induced voltage prediction circuit 24, differentiating circuit 23,
Since the operation is the same as in FIG. 5, only the two-phase speed command circuit 21, the two-phase speed compensation circuit 22, the differentiation circuit 23, and the induced voltage prediction circuit 24 will be described.

二相速度指令回路21は乗算器211,212から成り、速度指
令回路1からの速度指令信号Vrefと二相変位角検出回路
18からの二相回転角信号 とから二相速度信号 を生成する。微分回路23は微分器231,232とから成り、
二相回転角信号を各々微分して二相速度帰還信号 を生成する。二相速度補償回路22は二相速度指令信号 及び二相速度帰還信号 を入力し、二相電流指令信号を生成する。すなわち加算
器221,222は二相速度偏差信号を演算し、p補償器223,2
24にて二相速度偏差信号から二相電流指令信号を生成す
る。(ここでp補償器223,224をPID補償器としない理由
は速度偏差信号に二相回転角情報が含まれているためI.
D補償演算を行なうと二相の条件がくずれてしまうこと
による。)誘起電圧予測回路24は、二相速度指令回路21
からの二相速度指令信号 を乗算器241,242にてKE倍し、電機子巻線における二相
の誘起電圧信号を出力する。これは速度指令信号Vref
回転角微分信号情報とみなせることによる。
The two-phase speed command circuit 21 is composed of multipliers 211 and 212, and the speed command signal V ref from the speed command circuit 1 and the two-phase displacement angle detection circuit
Two-phase rotation angle signal from 18 And from two-phase speed signal To generate. The differentiating circuit 23 is composed of differentiators 231, 232,
Two-phase velocity feedback signal by differentiating each two-phase rotation angle signal To generate. The two-phase speed compensation circuit 22 is a two-phase speed command signal. And two-phase velocity feedback signal To generate a two-phase current command signal. That is, the adders 221, 222 calculate the two-phase speed deviation signal, and the p compensators 223, 2
At 24, a two-phase current command signal is generated from the two-phase speed deviation signal. (Here, the reason why the p compensators 223 and 224 are not PID compensators is that the speed deviation signal includes two-phase rotation angle information.
This is because the two-phase condition collapses when D compensation calculation is performed. ) The induced voltage prediction circuit 24 is a two-phase speed command circuit 21.
Two-phase speed command signal from Is multiplied by K E in multipliers 241, 242, and a two-phase induced voltage signal in the armature winding is output. This is because the speed command signal V ref can be regarded as rotation angle differential signal information.

以上の構成によっても前述した第1の実施例と同様の効
果が奏される。
With the above configuration, the same effect as that of the first embodiment described above can be obtained.

〔発明の効果〕〔The invention's effect〕

以上述べたように、本発明によれば、電流制御系内に、
電機子巻線の等価回路を持ち、その等価回路により電機
子電流が電機子電流指令値に一致するような電機子巻線
印加電圧を演算出力しているので、従来装置に比較して
電流制御応答性が改善できる。
As described above, according to the present invention, in the current control system,
It has an equivalent circuit for the armature winding, and the equivalent circuit calculates and outputs the armature winding applied voltage so that the armature current matches the armature current command value. The responsiveness can be improved.

また、三相同期電動機でありながら検出器及び制御演算
回路を二相にて構成しているので、回路規模の縮小化が
図れる等の効果を奏する。
In addition, since the detector and the control arithmetic circuit are composed of two phases in spite of being a three-phase synchronous motor, the circuit scale can be reduced.

【図面の簡単な説明】[Brief description of drawings]

第1図は本願の第一の発明の構成を示すブロック図、第
2図は本願の第二の発明の構成を示すブロック図、第3
図は三相同期電動機の等価回路図、第4図は本発明にお
ける三相二相変換を説明する為の図、第5図は本発明の
一実施例に係る三相同期電動機の速度制御装置の構成を
示すブロック図、第6図は同装置に適用可能な速度検出
回路のブロック図、第7図は本発明の他の実施例に係る
三相同期電動機の速度制御装置の構成を示すブロック
図、第8図は従来の三相同期電動機の速度制御装置の構
成を示すブロック図である。 1……速度指令回路、2……速度補償回路、5……増幅
回路、7……三相同期電動機、9……速度検出回路、11
……二相電流指令回路、12……インダクタンス電圧降下
予測回路、13……直流抵抗電圧降下予測回路、14,24…
…誘起電圧予測回路、15……二相電圧指令回路、16……
二相三相変換回路、17……二相電流検出回路、18……二
相変位角検出回路、21……二相速度指令回路、22……二
相速度補償回路、23……微分回路。
1 is a block diagram showing the configuration of the first invention of the present application, FIG. 2 is a block diagram showing the configuration of the second invention of the present application, and FIG.
FIG. 4 is an equivalent circuit diagram of a three-phase synchronous motor, FIG. 4 is a diagram for explaining three-phase / two-phase conversion in the present invention, and FIG. 5 is a speed control device for a three-phase synchronous motor according to an embodiment of the present invention. 6 is a block diagram of a speed detection circuit applicable to the device, and FIG. 7 is a block diagram showing a structure of a speed control device for a three-phase synchronous motor according to another embodiment of the present invention. FIG. 8 is a block diagram showing the structure of a conventional speed control device for a three-phase synchronous motor. 1 ... speed command circuit, 2 ... speed compensation circuit, 5 ... amplification circuit, 7 ... three-phase synchronous motor, 9 ... speed detection circuit, 11
Two-phase current command circuit, 12 ... Inductance voltage drop prediction circuit, 13 ... DC resistance voltage drop prediction circuit, 14, 24 ...
… Induced voltage prediction circuit, 15 …… Two-phase voltage command circuit, 16 ……
Two-phase / three-phase conversion circuit, 17 ... two-phase current detection circuit, 18 ... two-phase displacement angle detection circuit, 21 ... two-phase speed command circuit, 22 ... two-phase speed compensation circuit, 23 ... differential circuit.

───────────────────────────────────────────────────── フロントページの続き (72)発明者 中井 正義 兵庫県高砂市荒井町新浜2丁目1番1号 三菱重工業株式会社高砂研究所内 (56)参考文献 特開 昭55−153286(JP,A) 特開 昭58−99287(JP,A) ─────────────────────────────────────────────────── ─── Continuation of the front page (72) Masayoshi Nakai Inventor Masayoshi Nakai 2-1-1, Niihama, Arai-cho, Takasago-shi, Hyogo Mitsubishi Heavy Industries, Ltd. Takasago Research Laboratory (56) Reference JP-A-55-153286 (JP, A) Kaisho 58-99287 (JP, A)

Claims (2)

【特許請求の範囲】[Claims] 【請求項1】所定の速度指令に対応した速度指令信号を
生成する速度指令回路と、 制御対象である三相同期電動機の電機子巻線電流を検出
し、二相電流帰還信号を生成する二相電流検出回路と、 上記三相同期電動機の回転子の回転角を検出し、正弦波
状の二相回転角信号を生成する二相変位角検出回路と、 上記回転子の回転角速度を検出し、速度帰還信号を生成
する速度検出回路と、 前記速度指令信号から前記速度帰還信号を減算し、得ら
れた速度偏差信号にPID補償演算を行ない単相の電流指
令信号を生成する速度補償回路と、 前記単相の電流指令信号に前記二相の回転角信号を乗算
して二相電流指令信号を生成する二相電流指令回路と、 前記二相電流指令信号と前記二相電流帰還信号との差を
予め定められた制御周期情報で除算して電機子電流の変
化率を予測し、この電機子電流の変化率に電機子巻線の
インダクタンス値を乗算することにより電子機巻線のイ
ンダクタンスによる二相の電圧降下を予測するインダク
タンス電圧降下予測回路と、 前記二相電流指令信号もしくは、前記二相電流帰還信号
に電機子巻線の直流抵抗値を乗算することにより、電機
子巻線の直流抵抗による二相の電圧降下を予測する直流
抵抗電圧降下予測回路と、 前記二相回転角信号を微分し、その微分値に誘起電圧定
数値を乗算し電機子巻線における二相の誘起電圧を予測
する誘起電圧予測回路と、 前記インダクタンス電圧降下予測回路の出力信号と前記
直流抵抗電圧降下予測回路の出力信号と前記誘起電圧予
測回路の出力信号とを加算して二相電圧指令信号を生成
する二相電圧指令回路と、 前記二相電圧指令信号を三相電圧指令信号に変換する二
相三相変換回路と、 前記三相電圧指令信号を増幅し前記三相同期電動機を駆
動する増幅回路とを具備したことを特徴とする三相同期
電動機の速度制御装置。
1. A speed command circuit for generating a speed command signal corresponding to a predetermined speed command, and a two-phase current feedback signal for detecting an armature winding current of a three-phase synchronous motor to be controlled. A phase current detection circuit, a two-phase displacement angle detection circuit that detects the rotation angle of the rotor of the three-phase synchronous motor, and generates a sinusoidal two-phase rotation angle signal, and detects the rotation angular velocity of the rotor, A speed detection circuit that generates a speed feedback signal, a speed compensation circuit that subtracts the speed feedback signal from the speed command signal, and performs a PID compensation operation on the obtained speed deviation signal to generate a single-phase current command signal, A two-phase current command circuit that generates a two-phase current command signal by multiplying the single-phase current command signal by the two-phase rotation angle signal, and a difference between the two-phase current command signal and the two-phase current feedback signal. Is divided by the predetermined control period information An inductance voltage drop prediction circuit that predicts the change rate of the child current and multiplies the change rate of the armature current by the inductance value of the armature winding to predict the two-phase voltage drop due to the inductance of the electronic machine winding. , A DC resistance voltage drop that predicts a two-phase voltage drop due to the DC resistance of the armature winding by multiplying the DC resistance value of the armature winding by the two-phase current command signal or the two-phase current feedback signal A prediction circuit, an induced voltage prediction circuit that differentiates the two-phase rotation angle signal, and multiplies the differential value by an induced voltage constant value to predict a two-phase induced voltage in the armature winding, and the inductance voltage drop prediction circuit A two-phase voltage command circuit that generates a two-phase voltage command signal by adding the output signal of the DC resistance voltage drop prediction circuit and the output signal of the induced voltage prediction circuit. A two-phase three-phase conversion circuit for converting a phase voltage command signal into a three-phase voltage command signal, and an amplifier circuit for amplifying the three-phase voltage command signal and driving the three-phase synchronous motor. Speed control device for phase synchronous motor.
【請求項2】所定の速度指令に対応した速度指令信号を
生成する速度指令回路と、 制御対象である三相同期電動機の電機子巻線電流を検出
し、二相電流帰還信号を生成する二相電流検出回路と、 上記三相同期電動機の回転子の回転角を検出し、正弦波
状の二相回転角信号を生成する二相変位角検出回路と、 前記速度指令信号に前記二相回転角信号を乗算して二相
速度指令信号を生成する二相速度指令回路と、 前記二相回転角信号を微分して二相速度帰還信号を生成
する微分回路と、 前記二相速度指令信号から前記二相速度帰還信号を加減
算し得られた二相速度偏差信号にP補償演算を行ない二
相電流指令信号を生成する二相速度補償回路と、 前記二相電流指令信号と前記二相電流帰還信号との差を
予め定められた制御周期情報で除算して電機子電流の変
化率を予測し、前記電機子電流の変化率に電機子巻線の
インダクタンス値を乗算することにより電機子巻線のイ
ンダクタンスによる二相の電圧降下を予測するインダク
タンス電圧降下予測回路と、 前記二相電流指令信号もしくは前記二相電流帰還信号に
電機子巻線の直流抵抗値を乗算することにより電機子巻
線の直流抵抗による二相の電圧降下を予測する直流抵抗
電圧降下予測回路と、 前記二相速度指令信号に誘起電圧定数値を乗算して電機
子巻線における二相の誘起電圧を予測する誘起電圧予測
回路と、 前記インダクタンス電圧降下予測回路の出力信号と前記
直流抵抗電圧降下予測回路の出力信号と前記誘起電圧予
測回路の出力信号とを加算して、二相電圧指令信号を生
成する二相電圧指令回路と、 前記二相電圧指令信号を三相電圧指令信号に変換する二
相三相変換回路と、 前記三相電圧指令信号を増幅し前記三相同期電動機を駆
動する増幅回路とを具備したことを特徴とする三相同期
電動機の速度制御装置。
2. A speed command circuit for generating a speed command signal corresponding to a predetermined speed command, and a two-phase current feedback signal for detecting an armature winding current of a three-phase synchronous motor to be controlled. A phase current detection circuit, a two-phase displacement angle detection circuit that detects the rotation angle of the rotor of the three-phase synchronous motor, and generates a sinusoidal two-phase rotation angle signal, and the two-phase rotation angle in the speed command signal. A two-phase speed command circuit that multiplies a signal to generate a two-phase speed command signal; a differentiating circuit that differentiates the two-phase rotation angle signal to generate a two-phase speed feedback signal; A two-phase speed compensating circuit for performing a P compensation calculation on a two-phase speed deviation signal obtained by adding and subtracting the two-phase speed feedback signal to generate a two-phase current command signal, the two-phase current command signal and the two-phase current feedback signal Divide the difference between and by the predetermined control period information Inductance voltage drop prediction circuit that predicts the rate of change of armature current and multiplies the rate of change of the armature current by the inductance value of the armature winding to predict a two-phase voltage drop due to the inductance of the armature winding. And a DC resistance voltage drop prediction for predicting a two-phase voltage drop due to the DC resistance of the armature winding by multiplying the DC resistance value of the armature winding by the two-phase current command signal or the two-phase current feedback signal A circuit, an induced voltage prediction circuit for predicting a two-phase induced voltage in an armature winding by multiplying the two-phase speed command signal by an induced voltage constant value, an output signal of the inductance voltage drop prediction circuit, and the DC resistance A two-phase voltage command circuit that generates a two-phase voltage command signal by adding an output signal of the voltage drop prediction circuit and an output signal of the induced voltage prediction circuit, and the two-phase voltage command signal Speed of a three-phase synchronous motor comprising: a two-phase three-phase conversion circuit for converting into a three-phase voltage command signal; and an amplifier circuit for amplifying the three-phase voltage command signal and driving the three-phase synchronous motor. Control device.
JP61051880A 1986-03-10 1986-03-10 Three-phase synchronous motor speed controller Expired - Lifetime JPH0785672B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP61051880A JPH0785672B2 (en) 1986-03-10 1986-03-10 Three-phase synchronous motor speed controller

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP61051880A JPH0785672B2 (en) 1986-03-10 1986-03-10 Three-phase synchronous motor speed controller

Publications (2)

Publication Number Publication Date
JPS62210884A JPS62210884A (en) 1987-09-16
JPH0785672B2 true JPH0785672B2 (en) 1995-09-13

Family

ID=12899193

Family Applications (1)

Application Number Title Priority Date Filing Date
JP61051880A Expired - Lifetime JPH0785672B2 (en) 1986-03-10 1986-03-10 Three-phase synchronous motor speed controller

Country Status (1)

Country Link
JP (1) JPH0785672B2 (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS6489996A (en) * 1987-09-28 1989-04-05 Mitsubishi Heavy Ind Ltd Speed controller for three phase synchronous motor
JP2811685B2 (en) * 1988-10-05 1998-10-15 トヨタ自動車株式会社 Servo motor controller
JP3924140B2 (en) * 2001-09-14 2007-06-06 三菱重工業株式会社 Gas turbine plant and operation method thereof

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS55153286A (en) * 1979-05-18 1980-11-29 Nippon Telegr & Teleph Corp <Ntt> Driving method for brushless servomotor
JPS5899287A (en) * 1981-12-08 1983-06-13 Fanuc Ltd Controlling method for synchronous motor

Also Published As

Publication number Publication date
JPS62210884A (en) 1987-09-16

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