JPS6035914B2 - Control method of induction motor - Google Patents
Control method of induction motorInfo
- Publication number
- JPS6035914B2 JPS6035914B2 JP55098770A JP9877080A JPS6035914B2 JP S6035914 B2 JPS6035914 B2 JP S6035914B2 JP 55098770 A JP55098770 A JP 55098770A JP 9877080 A JP9877080 A JP 9877080A JP S6035914 B2 JPS6035914 B2 JP S6035914B2
- Authority
- JP
- Japan
- Prior art keywords
- command
- current
- induction motor
- torque
- current component
- 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
Links
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
Landscapes
- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Control Of Ac Motors In General (AREA)
Description
【発明の詳細な説明】
(産業上の利用分野)
本発明は誘導電動機(以下単に電動機という)に直流機
と同じ様な性能を持たせることができるトランスベクト
ル制御の改良に関するものである。DETAILED DESCRIPTION OF THE INVENTION (Field of Industrial Application) The present invention relates to an improvement in transformer vector control that allows an induction motor (hereinafter simply referred to as a motor) to have performance similar to that of a DC motor.
(従来技術とその問題点)
従来のたとえば、特開昭51一11125号公報に開示
されたような誘導電動機のトランスベクトル制御では、
2次磁束を与える指令電流(励磁電流成分指令)ioと
トルクに比例する指令電流(トルク電流成分指令)i,
q(以下q軸成分1次電流指令値という。(Prior art and its problems) In the conventional transformer vector control of an induction motor as disclosed in Japanese Patent Laid-Open No. 51-11125, for example,
Command current (excitation current component command) io that provides secondary magnetic flux, command current proportional to torque (torque current component command) i,
q (hereinafter referred to as q-axis component primary current command value).
)をオープンループで与えるようにしているが、温度変
化等で2次抵抗が変動すると発生トルクが変動したり、
発生トルクとトルク指令値の線形性がくずれたりする欠
点があった。この欠点を改善する方法として、すべり角
周波数のsをトルクに比例させる方法が試みられている
が、トランスベクトル制御の目標であるトルクの線形性
と発生トルクと電流との間に時間遅れがないこと、即ち
速応性のためにはwsは直接的には関係がないので、あ
まり効果がなかった。(問題点を解決するための手段)
そこで本発明者等は種々実験研究の結果、励磁電流成分
指令ioとトルク電流成分指令i,t,から求めたすべ
り周波数指令叫=巻(T2‘ま2測定数)と誘導電動機
の回転子角速度8とを加算して得られる前記誘導電動機
の2次磁束角周波数のoをもつ2相正弦波信号にosの
ot,sinのot,前記トルク電流成分指令i,qお
よび前記励磁電流成分指令ioと励磁電流成分検出値i
o′との偏差に対応する信号i,dから前記誘導電動機
の1次電流を指令する議導電動機の制御方式において、
前記トルク電流成分指令i,qとトルク電流成分検出値
iM′の偏差を求め、この偏差に応じた信号を前記すべ
り周波数指令のSに加算するようにすることによりトラ
ンスベクトル制御の性能を向上させることに成功したも
のである。) is applied in an open loop, but if the secondary resistance fluctuates due to temperature changes, the generated torque may fluctuate,
There was a drawback that the linearity between the generated torque and the torque command value was lost. As a method to improve this drawback, attempts have been made to make the slip angular frequency s proportional to the torque, but the goal of transformer vector control is torque linearity and no time delay between the generated torque and current. In other words, since ws has no direct relation to quick response, it was not very effective. (Means for solving problems)
Therefore, as a result of various experimental studies, the present inventors determined that the slip frequency command (T2') obtained from the excitation current component command io and the torque current component commands i, t, and the rotor angular velocity of the induction motor. A two-phase sine wave signal having a secondary magnetic flux angular frequency o of the induction motor obtained by adding and excitation current component detection value i
In a control method for an induction motor in which the primary current of the induction motor is commanded from signals i and d corresponding to the deviation from o',
The performance of transformer vector control is improved by determining the deviation between the torque current component commands i, q and the detected torque current component value iM', and adding a signal corresponding to this deviation to S of the slip frequency command. It was extremely successful.
(実施例)
以下図面に示す実施例について説明すれば次の通りであ
る。(Embodiment) The embodiment shown in the drawings will be described below.
第1図は本発明実施例の全体の構成を示すブロック図で
、1が被制御3相誘導電動機(以下単に電動機という)
である。FIG. 1 is a block diagram showing the overall configuration of an embodiment of the present invention, in which 1 is a controlled three-phase induction motor (hereinafter simply referred to as the motor).
It is.
電動機1はq軸及びd軸成分の各1次電流指令値i側
i,d′に基づき制御電流ia〜icを作成する電流演
算回路2により電流増中器3を介して運転される。The motor 1 has each primary current command value i side for the q-axis and d-axis components.
It is operated via a current intensifier 3 by a current calculation circuit 2 which creates control currents ia to ic based on i and d'.
前記q軸成分1次電流指令値i,qとしては演算増中器
4を通した速度偏差に対応する信号が使われ、d軸成分
1次電流指令値i,dとしては励磁電流成分指令ioと
励磁電流成分検出値io′との偏差が使われ、電流演算
回路2では前記1次電流指令値i,qとi,dから後記
■式に基づく演算が行なわれて制御電流ia〜icが送
出される。As the q-axis component primary current command values i, q, a signal corresponding to the speed deviation passed through the arithmetic intensifier 4 is used, and as the d-axis component primary current command values i, d, the excitation current component command io is used. and the excitation current component detection value io', and the current calculation circuit 2 performs calculations based on the equation (2) below from the primary current command values i, q and i, d to calculate the control currents ia to ic. Sent out.
次に説明の便宜上、各関係式について説明する。Next, for convenience of explanation, each relational expression will be explained.
今、電動機1の2次磁束の電気的な角速度を■。Now, the electrical angular velocity of the secondary magnetic flux of motor 1 is ■.
とすると、の。で回転するd−q軸座標系から見た電動
機の2次回路の電圧平衡式は次の{1ー式と■式で表わ
される。但し、2次回路には外部より電圧を与えず短絡
されているものとし、q軸はd軸よりさ(rad)進み
で回転し小るものとする。d軸についての平衡式より
PMi。Then, of. The voltage balance equation of the secondary circuit of the motor seen from the d-q axis coordinate system rotating at is expressed by the following equations {1- and ■. However, it is assumed that no voltage is applied to the secondary circuit from the outside and that it is short-circuited, and that the q-axis rotates at a rad lead than the d-axis. PMi from the equilibrium equation about the d-axis.
十R2i2d=0 ・・・・・・・・
・【1}上式中Pは微分演算子で毒を示す。Mは・次と
2次間の相互インダクタンス、R2は2次抵抗、ioは
d軸に一致する2次磁束を与える電流、i2dは2次の
q軸電流である。またq軸についての電圧平衡式より
のS●M,i。10R2i2d=0 ・・・・・・・・・
・[1} In the above formula, P is a differential operator and indicates poison. M is the mutual inductance between the secondary and the secondary, R2 is the secondary resistance, io is the current that provides the secondary magnetic flux that coincides with the d-axis, and i2d is the secondary q-axis current. Also, S●M,i from the voltage balance equation for the q-axis.
十R2,ilqニ。 ………■上式中i2qは
2次のq軸電流、のsはすべり角周波数で、電動機の回
転子の電気的角速度ひとは次式の関係にある。のs=の
o −ひ ””””””{3}また
joと1次及び2次電流の関係は次式で表わされる。10R2, ilqni. ......■ In the above equation, i2q is the secondary q-axis current, s is the slip angular frequency, and the electrical angular velocity of the motor rotor is in the following relationship. s = o - h ``''''''''{3} Also, the relationship between jo and the primary and secondary currents is expressed by the following equation.
d軸こ関してi。Regarding the d-axis, i.
=i.d+帯i2d ‐‐‐‐‐‐(4,q軸こ関し
て 。=i.q十騎i桝 ‐‐‐‐‐‐‘5,但しL
は2次の自己インダクタンス前記■及び‘5}式より
叫;畠‐学−T羊i。=i. d+band i2d ‐‐‐‐‐‐(4, regarding the q axis.=i.q Tokii square ‐‐‐‐‐‐'5, however, L
is the second-order self-inductance from the equations ① and ``5};
………■但しt‘ま鰍時定数良oちT2=軍 また発生トルク7は次式で表わされる。 ......■ However, t'maagi time constant good ochi T2 = army Further, the generated torque 7 is expressed by the following equation.
3 M” ………{7}7=裏n
・FI。3 M”……{7}7=back n
・FI.
1・q 但しnは極対数で電動機は3相とする。1・q However, n is the number of pole pairs and the motor has three phases.
従って、■式に示すjoとi,qを与える場合、トルク
丁はi,qと線形になる。Therefore, when jo, i, and q shown in equation (2) are given, the torque d is linear with i, q.
またio一定ならばトルク7はi,qに比例することに
なる。また【6},【7}式よりすべり角周波数のsは
トルク7に比例する。d軸成分1次電流は{1},【4
1式より次式で表わされる。IM=i。十T2.P・1
0 ”””{8}そして電動機制御の
実際の1次電流ia,・b,iCは次式で表わされる。
電流演算回路2では前述のように上記【9}式に基づく
演算が行なわれるのであるが、電流演算回路2は上記演
算を行うため、入力信号のCOSwotとsmのotを
3相に変換する回路と、直流信号のi,d,i,qを乗
ずる乗算器と、加算器から構成される。Further, if io is constant, torque 7 will be proportional to i and q. Also, from equations [6} and [7}, the slip angular frequency s is proportional to the torque 7. The d-axis component primary current is {1}, [4
From equation 1, it is expressed by the following equation. IM=i. 10T2. P・1
0 """{8}The actual primary current ia, ·b, iC for motor control is expressed by the following equation.
As mentioned above, the current calculation circuit 2 performs the calculation based on the above formula [9}. In order to perform the above calculation, the current calculation circuit 2 uses a circuit that converts the input signals COSwot and sm ot into three phases. , a multiplier that multiplies DC signals by i, d, i, and q, and an adder.
そして、電流演算回路2からの出力電流ia〜icは電
動機1を駆動するに足る電流に電流増中器3により増中
ごれる。Then, the output currents ia to ic from the current calculation circuit 2 are increased by the current multiplier 3 to a current sufficient to drive the electric motor 1.
従来は、演算増中器4により速度偏差に比例したq軸成
分1次電流指令i,qを得、それを【6)式に基づく演
算回路によってすべり角周波数のSを発生させ、そのす
べり角周波数のsとd軸及びq軸成分1次指令電流i,
d,i,qから‘8〕及び【9}式に基づく演算により
得た実電流指令を電動機1に与えて制御していたため、
電動機の温度変化に従って2次抵抗R2が変化すると、
すべり角周波数のsが強制的に固定されているので、(
61式におけるio,i,qが変化せざるを得なくなる
ため、【7}式で示されるトルクのi,qに対する線形
性がくずれたり、或いは一定トルク指令を与えていても
、電動機の温度により異つたトルクを発生するといった
不都.三※合を生じていた。Conventionally, the q-axis component primary current commands i, q, which are proportional to the speed deviation, are obtained by an arithmetic intensifier 4, and then the slip angular frequency S is generated by an arithmetic circuit based on equation (6), and the slip angle is Frequency s and d-axis and q-axis component primary command current i,
Since the motor 1 was controlled by giving the actual current command obtained from calculations based on formulas '8] and [9} from d, i, and q,
When the secondary resistance R2 changes according to the temperature change of the electric motor,
Since the slip angular frequency s is forcibly fixed, (
Since io, i, and q in Equation 61 have to change, the linearity of the torque with respect to i and q shown in Equation [7} may collapse, or even if a constant torque command is given, the linearity may change depending on the temperature of the motor. The disadvantage is that different torques are generated. 3 * combinations were occurring.
例えば圧延装置のようにトルク制御を必要とする張力制
御の場合具合が悪かった。本実施例では電動機1の線電
流を電流検出器10で検出し、この線電流から検出回路
11で、角速度の。で回転するd軸成分をd軸成分の1
次検出電流i,d′,i,q′を演算して求め、演算増
中器8においてi,qとi,q′の偏差をとって、この
偏差を演算増中器9においてすべり周波数指令のs=帯
物算するとと机・i。と秋偏差i勘。算したものを微分
器13、演算増中器を通してi,dを求めることにより
、従来の欠点を改善したものである。For example, tension control that requires torque control, such as in a rolling mill, was not very good. In this embodiment, the line current of the motor 1 is detected by the current detector 10, and the detection circuit 11 calculates the angular velocity from this line current. The d-axis component rotated by 1 of the d-axis component
The next detected currents i, d', i, q' are calculated and determined, the deviation between i, q and i, q' is calculated in the calculation intensifier 8, and this deviation is used as the slip frequency command in the calculation intensifier 9. s = Obimono calculation and desk / i. I have a hunch about the autumn deviation. The disadvantages of the conventional method are improved by passing the calculated values through a differentiator 13 and an arithmetic intensifier to determine i and d.
i,d′,i,q′とia,ibとは次式で表わされる
ので、検出電流ia, ibとcosのot,sinの
otの信号を使い、乗算器と加算器から成る回路でi,
d′とi,q′を得ることが出来る。Since i, d', i, q' and ia, ib are expressed by the following equations, using detection currents ia, ib, cos ot, and sin ot signals, i is calculated by a circuit consisting of a multiplier and an adder. ,
d', i, q' can be obtained.
第2図は検出回路11の詳細図で21〜23は演算回路
、24〜27は乗算器、28は極性反転器、R,は抵抗
である。FIG. 2 is a detailed diagram of the detection circuit 11, in which 21 to 23 are arithmetic circuits, 24 to 27 are multipliers, 28 is a polarity inverter, and R is a resistor.
さて本発明装置では、先ず、演算増中器7により、io
の指令値と検出値i,d′を(8}式に基づく1次遅れ
要素12を通して得た検出値jo′との偏差を増中し、
それを演算増中器5でlo手旨令値に加算し、更に、微
分器13と演算回路6で‘8}式を満足するd軸成分1
次電流指令値itdとして電流演算回路2に与えるよう
にして、励磁電流成分io指令に対して常に実際の励磁
電流成分ioが等しくなるように自動制御される。Now, in the device of the present invention, first, the arithmetic intensifier 7
The deviation between the command value and the detected value jo' obtained through the first-order delay element 12 based on formula (8) is increased,
The arithmetic intensifier 5 adds it to the lo command value, and the differentiator 13 and the arithmetic circuit 6 add it to the d-axis component 1 that satisfies the formula '8}.
It is automatically controlled so that the actual excitation current component io is always equal to the excitation current component io command by giving it to the current calculation circuit 2 as the next current command value itd.
一方、演算増中器4の出力i,qとio指令とで除算器
14で■式の叫を演算して得、また演算増中器8で指令
電流itqと検出電流itq′の偏差を増中して、演算
増中器9で、前記wsに加算して発振器15に与える。On the other hand, the output i, q of the arithmetic intensifier 4 and the io command are used to calculate the equation (2) using the divider 14, and the arithmetic intensifier 8 increases the deviation between the command current itq and the detected current itq'. Then, the arithmetic multiplier 9 adds the ws to the oscillator 15.
従って、今2次抵抗R2が大きくなったとすると、io
が一定であるから、【6}式からのS一定ならiのが減
少し、トルク丁が減少するが、こ)では逆に2次抵抗R
2の変動に対してのSが変わるので、検出値itq′が
一定になるように働く。即ち、2次抵抗が大きくなり、
検出電流iM′がづ・さくなると、演算増中器8の出力
が大きくなるので、のSが大きくなり、i,q′が大き
くなって検出電流i,q′が指令電流i,qに等しくな
るように自動制御される。故に本装置においては、{7
}式に示す指令電流i,qに比例したトルクが発生する
。Therefore, if the secondary resistance R2 is now increased, io
is constant, so if S from equation [6} is constant, i will decrease and the torque will decrease, but in this case, on the contrary, the secondary resistance R
Since S changes with respect to the fluctuation of 2, it works to keep the detected value itq' constant. In other words, the secondary resistance increases,
When the detected current iM' becomes smaller, the output of the arithmetic intensifier 8 becomes larger, so S becomes larger, and i, q' become larger, so that the detected current i, q' becomes equal to the command current i, q. automatically controlled so that Therefore, in this device, {7
}A torque proportional to the command currents i and q shown in the formula is generated.
特関昭51−11125号公報に開示された従来装置は
、第1図における5,7,8,9,11及び12を欠如
するもので、iぬ, itqあるいはioに対してオー
プンループ制御であるため、前述の2次抵抗R2の変化
によるトルク変動以外に次のような問題があった。The conventional device disclosed in Tokukan Sho 51-11125 lacks 5, 7, 8, 9, 11 and 12 in Fig. 1, and does not have open loop control for inu, itq or io. Therefore, in addition to the torque fluctuation caused by the change in the secondary resistance R2 mentioned above, there were the following problems.
即ち、電流増中器3の特性がの。That is, the characteristics of the current multiplier 3 are as follows.
が高くなると悪くなり、指令値より低い電流が流れる場
合にも同様にトルクの線形性が失なわれる欠点がある。
また2次抵抗R2の変動や電流増中器3の周波数特性が
悪い時はioが変動し、そのため全体の速度ループのゲ
インが高くとれなかった。またws発振器15の直線性
が悪い場合は、トルク直線性がくずれたりしていた。と
ころが、本発明の構成では、外乱要因を極めて小さくす
ることが出来ると共に、速度フィードバックループのル
ープゲインを高くとれ、性能をよくすることができ、ト
ルク制御を必要とする張力制御用誘導電動機の制御方式
として好適なものである。The higher the value, the worse the torque becomes, and there is a drawback that the torque linearity is similarly lost when a current lower than the command value flows.
Further, when the secondary resistance R2 fluctuates or the frequency characteristics of the current multiplier 3 are poor, io fluctuates, making it impossible to obtain a high gain in the overall speed loop. Furthermore, if the linearity of the ws oscillator 15 is poor, the torque linearity may be distorted. However, with the configuration of the present invention, it is possible to extremely minimize disturbance factors, and the loop gain of the speed feedback loop can be set high, thereby improving the performance, which makes it possible to control induction motors for tension control that require torque control. This is a suitable method.
なお検出回路として第2図に示すような構成とすると、
ioの検出を1次電流とcosの。Note that if the detection circuit is configured as shown in Figure 2,
Detection of io primary current and cos.
上,sinの。tの信号で演算できるので、1次電流の
みしか検出できないかご形誘導電動機でも適用できる実
益がある。第3図は第1図に示したio員帰還制御の代
りにi,d負帰還制御とした場合の本発明の異なる実施
例を示すものであるが、その動作は本質的には第1図に
示す実施例と同じである。Above, sin. Since the calculation can be performed using the signal of t, there is a practical advantage that it can be applied even to squirrel cage induction motors in which only the primary current can be detected. FIG. 3 shows a different embodiment of the present invention in which i, d negative feedback control is used instead of the io negative feedback control shown in FIG. 1, but its operation is essentially the same as that shown in FIG. 1. This is the same as the embodiment shown in .
また第1図に示した実施例において、演算増m器4を省
いて速度フィードバック回路を設けないようにすると、
io指令とi,q指令で制御されるトルク制御となる。Furthermore, in the embodiment shown in FIG. 1, if the operational multiplier 4 is omitted and no speed feedback circuit is provided,
Torque control is controlled by the io command and the i and q commands.
図面の簡単な説明第1図は本発明実施例のブロック図、
第2図は検出回路の詳細回路図、第3図は異なる実施例
のフロツク図である。BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a block diagram of an embodiment of the present invention;
FIG. 2 is a detailed circuit diagram of the detection circuit, and FIG. 3 is a block diagram of a different embodiment.
1・・・・・・3相誘導電動機、2・・・…電流演算回
路、3・・・・・・電流増中器、4〜9・・・…演算増
中器、10・・・・・・電流検出器、11・・・・・・
検出回路、12・・・・・・1次遅れ要素、13・・・
・・・微分器、14・・・・・・除算器、15…・・・
のS発振器、16・・…・周波数加算器、17・・・・
・・単相−2相変換器、18・・・・・・タコゼネ。DESCRIPTION OF SYMBOLS 1...Three-phase induction motor, 2...Current calculation circuit, 3...Current multiplier, 4-9...Calculation multiplier, 10... ...Current detector, 11...
Detection circuit, 12...1st-order delay element, 13...
...Differentiator, 14...Divider, 15...
S oscillator, 16... Frequency adder, 17...
...Single-phase to two-phase converter, 18...Tachogenerator.
第2図第3図 図 隙Figure 2 Figure 3 figure Gap
Claims (1)
1_qから求めたすべり周波数指令ω_s=(i_1_
q)/(T_2i_0)(T_2は2次時定数)と誘導
電動機の回転子角速度θとを加算して得られる前記誘導
電動機の2次磁束角周波数ω_0をもつ2相正弦波信号
cosω_0t,sinω_0t,前記トルク電流成分
指令i_1_qおよび前記励磁電流成分指令i_0と励
磁電流成分検出値i_0′との偏差に対応する信号i_
1_dから前記誘導電動機の1次電流を指令する誘導電
動機の制御方式において、前記トルク電流成分指令i_
1_qとトルク電流成分検出値i_1_q′の偏差を求
め、この偏差に応じた信号を前記すべり周波数指令ω_
sに加算するようにしたことを特徴とする誘導電動機の
制御方式。1 Excitation current component command i_0 and torque current component command i_
Slip frequency command ω_s obtained from 1_q = (i_1_
q)/(T_2i_0) (T_2 is a secondary time constant) and a two-phase sinusoidal signal cosω_0t, sinω_0t, which has a secondary magnetic flux angular frequency ω_0 of the induction motor obtained by adding the rotor angular velocity θ of the induction motor; a signal i_ corresponding to the deviation between the torque current component command i_1_q and the excitation current component command i_0 and the excitation current component detected value i_0';
In the induction motor control method in which the primary current of the induction motor is commanded from 1_d, the torque current component command i_
1_q and the detected torque current component value i_1_q', and a signal corresponding to this deviation is used as the slip frequency command ω_
A control method for an induction motor, characterized in that the control method adds the value to s.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP55098770A JPS6035914B2 (en) | 1980-07-21 | 1980-07-21 | Control method of induction motor |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP55098770A JPS6035914B2 (en) | 1980-07-21 | 1980-07-21 | Control method of induction motor |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS5725188A JPS5725188A (en) | 1982-02-09 |
| JPS6035914B2 true JPS6035914B2 (en) | 1985-08-17 |
Family
ID=14228610
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP55098770A Expired JPS6035914B2 (en) | 1980-07-21 | 1980-07-21 | Control method of induction motor |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS6035914B2 (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0667252B2 (en) * | 1982-04-02 | 1994-08-24 | 三菱電機株式会社 | Induction motor control system |
| JPS5921293A (en) * | 1982-07-26 | 1984-02-03 | Yaskawa Electric Mfg Co Ltd | Induction motor torque control device |
| JP6444274B2 (en) * | 2015-07-01 | 2018-12-26 | 日立オートモティブシステムズ株式会社 | Motor drive device |
-
1980
- 1980-07-21 JP JP55098770A patent/JPS6035914B2/en not_active Expired
Also Published As
| Publication number | Publication date |
|---|---|
| JPS5725188A (en) | 1982-02-09 |
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