JPH0442909B2 - - Google Patents

Info

Publication number
JPH0442909B2
JPH0442909B2 JP57025276A JP2527682A JPH0442909B2 JP H0442909 B2 JPH0442909 B2 JP H0442909B2 JP 57025276 A JP57025276 A JP 57025276A JP 2527682 A JP2527682 A JP 2527682A JP H0442909 B2 JPH0442909 B2 JP H0442909B2
Authority
JP
Japan
Prior art keywords
pulse width
period
signal
level
current
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
JP57025276A
Other languages
Japanese (ja)
Other versions
JPS58144576A (en
Inventor
Takashi Toda
Masayuki Terajima
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Meidensha Electric Manufacturing Co Ltd
Original Assignee
Meidensha Electric Manufacturing Co Ltd
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Meidensha Electric Manufacturing Co Ltd filed Critical Meidensha Electric Manufacturing Co Ltd
Priority to JP57025276A priority Critical patent/JPS58144576A/en
Publication of JPS58144576A publication Critical patent/JPS58144576A/en
Publication of JPH0442909B2 publication Critical patent/JPH0442909B2/ja
Granted legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M5/00Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases
    • H02M5/40Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC
    • H02M5/42Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC by static converters
    • H02M5/44Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC by static converters using discharge tubes or semiconductor devices to convert the intermediate DC into AC
    • H02M5/443Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC by static converters using discharge tubes or semiconductor devices to convert the intermediate DC into AC using devices of a thyratron or thyristor type requiring extinguishing means
    • H02M5/45Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC by static converters using discharge tubes or semiconductor devices to convert the intermediate DC into AC using devices of a thyratron or thyristor type requiring extinguishing means using semiconductor devices only
    • H02M5/4505Conversion of AC power input into AC power output, e.g. for change of voltage, for change of frequency, for change of number of phases with intermediate conversion into DC by static converters using discharge tubes or semiconductor devices to convert the intermediate DC into AC using devices of a thyratron or thyristor type requiring extinguishing means using semiconductor devices only having a rectifier with controlled elements

Landscapes

  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Ac Motors In General (AREA)
  • Inverter Devices (AREA)

Description

【発明の詳細な説明】 本発明は低速度領域でのトルク脈動を軽減する
パルス幅変調型インバータの制御方法に係り、特
に導通領域側へ移行する素子と非導通領域側へ移
行する素子との間で交互にON−OFFするパルス
幅変調型インバータで、導通領域へ移行する素子
は、出力周波電気角の30゜を基点としてその両側
のパルス幅波高値を、非導通領域へ移行する素子
は、出力周波電気角の150゜を基点としてその両側
のパルス幅波高値をそれぞれ異なるようにON−
OFF制御することによつて、転流重なり期間で
のトルクを平均化し、そのトルク平均値を高めて
滑らかな低速運転を可能とする制御方法を提供し
ようとするものである。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a control method for a pulse width modulation type inverter that reduces torque pulsation in a low speed region, and particularly relates to a method for controlling a pulse width modulation type inverter to reduce torque pulsation in a low speed region, and in particular, to reduce torque pulsation in a low speed region. This is a pulse width modulation type inverter that is turned ON and OFF alternately between 30° and 30°. The element that transitions to the conductive region has a pulse width peak value on both sides of the output frequency electrical angle of 30° as the base point, and the element that transitions to the non-conductive region , the pulse width peak values on both sides of the output frequency electrical angle of 150° are turned on differently.
The present invention attempts to provide a control method that averages the torque during the commutation overlap period by performing OFF control, increases the torque average value, and enables smooth low-speed operation.

電流型インバータで誘導電動機などを可変速制
御する場合、特に低速高度域でのトルク脈動が大
きく、脈動周波数が軸系のねじれ共振周波数と一
致すると機械系へ大きな影響を与えるばかりでな
く、“速度ムラ”が大きくなつて安定した運転は
到底望めないなど不安定現象はよく知られている
所である。かかる現象を具体的に述べるに、例え
ば120゜方形波インバータで誘導電動機を可変速駆
動した場合、超低周波領域での出力周波電気角
ωtの進行に対する発生電気的瞬時トルクの特性
は第1図に示すようなトルク特性となる。この特
性はインバータの出力周波数をパラメータにとつ
た場合の瞬時トルクの変化を示したもので、この
特性図より明らかなように、瞬時トルクは電気角
60゜毎に脈動しており特に出力周波数が高くなれ
ばトルクの脈動は軽減するが、これに対してトル
クが著しく小さくするなど、トルク脈動の軽減効
果と実際の発生トルクとの関係は二律相反するこ
とになり、120゜方形波インバータでは適用分野が
限定されるなど実用的なものではない。かかる問
題点を解決する方法として、第2図に示す如く交
流出力電流の各半波期間内で、電気角π/6
(rad)を基点として、0〜π/6とπ/6〜
π/3との期間および2/3π〜5/6πと5/6π
〜πとの期間にそれぞれ一定のパルス幅で複数の
パルスを発生すべくチヨツピング制御を行ない、
電気角π/2(rad)を基点とするπ/3〜2/
3πの期間は固定パルス幅を生じさせる等パルス
幅方式のパルス幅変調型インバータはよく知られ
ている所である。このパルス幅変調型インバータ
で誘導電動機を可変速駆動した場合、出力周波電
気角ωtの進行に対する発生電気的瞬時トルクの
特性は第3図に示すようなトルク特性となる。こ
のトルク特性図はインバータの出力周波数が0.5
(Hz)の場合のトルク変化を示したもので、実線
が等パルス幅のパルス幅変調型インバータでのト
ルク特性を、破線が120゜方形波インバータでのト
ルク特性をそれぞれ示し、この特性図より明らか
なように、電流を所定のパルス幅変調を行なう
と、トルの脈動周波数が非常に高いので軸系に及
ぼす影響は全くなくなる。これに対して超低速領
域でのトルク脈動は120゜方形波インバータに比
し、あまり改善されていない。かかるトルク脈動
の問題点を解決したのが、第4図の電流波形パタ
ーンに示すようなパルス幅変調を行なう不等パル
ス幅変調型のインバータである。このインバータ
は出力周波電気角ωtの進行に対して、0〜π/
3までの期間はパルス幅を漸増する時間比制御を
行ない、2/3π〜πまでの期間はパルス幅を漸
減する時間比制御を行なうものであるが、このよ
うな不等パルス幅変調を行なうと、インバータ出
力周波数が0.5Hzでの発生電気的瞬時トルクの特
性は第5図に示すようなトルク特性となる。この
トルク特性図と第3図のトルク特性図とを比較す
れば明らかなように、瞬時トルクの最大値が第3
図のものは略一定であるのに対して、第5図のも
のは瞬時トルクの最大値が出力周波電気角の進行
に対して円弧状に変化し、且つトルクが落ち込む
幅が時間的に漸減するので、総体的にトルクの脈
動は不等パルス幅の制御の方が等パルス幅の制御
より軽減効果が大きい。しかしながら不等パルス
幅の変調法で問題となるのは、第5図の発生電気
的瞬時トルク特性より明らかなように、出力周波
電気角の進行に対して、特に0〜π/6の期間で
の平均トルクとπ/6〜π/3の期間での平均ト
ルクとを比較した場合、後者の平均トルクの方が
前者の平均トルクより大きくなつていることが理
解できる。これは何を意味しているのかといえ
ば、理想的なものであれば前記各期間での平均ト
ルクは略同一であるので、トルク脈動の軽減効果
が上つているとは決していえない。このような不
等パルス幅の変調法に対して、例えば導通領域へ
移行する素子と非導通領域へ移行する素子との間
で、一方がONであれば他方がOFFであるという
ように交互にON−OFF制御して相間転流を行な
い、しかも導通領域へ移行する素子はそのパルス
幅を漸増し、これとは反対に非導通領域側へ移行
する素子はそのパルス幅を漸減するというよう
な、時間比制御を併用する不等パルス幅変調方法
がある。この変調法は特に転流重なり期間での制
御と他の期間での制御とは全く独立して行なわれ
るので、超低速領域でも任意の時点で静止できる
など第4図のパルス幅変調方法に比し安定した低
速運転を可能とする。しかしながら問題となるの
は、例えば転流重なり期間での制御時に際して、
上記したように導通領域へ移行する素子と非導領
域へ移行する素子とはパルス幅を増−減する時間
比制御を行なうものであるからして、特に転流重
なり期間で電気角30゜及び150゜をそれぞれ基点と
する前後の区間での平均トルクが異にするとい
う、第4図の不等パルス幅変調法でみられるよう
な超低速度領域での“速度ムラ”があり、非常に
滑らかな低速運転は全く望め得ない。
When variable speed control of induction motors etc. is performed using a current type inverter, the torque pulsation is large, especially in the low speed altitude range, and if the pulsation frequency matches the torsional resonance frequency of the shaft system, it will not only have a large impact on the mechanical system, but also cause The instability phenomenon is well known, such as "unevenness" becoming so large that stable operation cannot be expected at all. To describe this phenomenon concretely, for example, when an induction motor is driven at variable speed by a 120° square wave inverter, the characteristics of the generated instantaneous electrical torque with respect to the progression of the output frequency electrical angle ωt in the extremely low frequency region are shown in Figure 1. The torque characteristics are as shown in . This characteristic shows the change in instantaneous torque when the inverter output frequency is taken as a parameter.As is clear from this characteristic diagram, instantaneous torque is expressed in electrical angle.
It pulsates every 60 degrees, and the torque pulsation will be reduced especially if the output frequency becomes high, but the relationship between the torque pulsation reduction effect and the actual generated torque is dichotomous, such as when the torque is significantly reduced. This is contradictory, and a 120° square wave inverter is not practical as its application fields are limited. As a method to solve this problem, as shown in FIG. 2, the electrical angle π/6 is
(rad) as the base point, 0 to π/6 and π/6 to
Period with π/3 and 2/3π to 5/6π and 5/6π
Chopping control is performed to generate multiple pulses each with a constant pulse width during the period of ~π,
π/3 to 2/ based on electrical angle π/2 (rad)
A pulse width modulation type inverter using an equal pulse width method that generates a fixed pulse width during a period of 3π is well known. When the induction motor is driven at variable speed by this pulse width modulation type inverter, the characteristics of the generated instantaneous electrical torque with respect to the progression of the output frequency electrical angle ωt are as shown in FIG. 3. This torque characteristic diagram shows that the inverter output frequency is 0.5
(Hz).The solid line shows the torque characteristic with a pulse width modulation type inverter with equal pulse width, and the broken line shows the torque characteristic with a 120° square wave inverter.From this characteristic diagram, As is clear, when the current is subjected to a predetermined pulse width modulation, the torque pulsation frequency is so high that it has no effect on the shaft system. On the other hand, the torque pulsation in the ultra-low speed range is not much improved compared to the 120° square wave inverter. A solution to the problem of torque pulsation is an unequal pulse width modulation type inverter that performs pulse width modulation as shown in the current waveform pattern of FIG. This inverter has a range of 0 to π/with respect to the progression of the output frequency electrical angle ωt.
In the period up to 3, time ratio control is performed to gradually increase the pulse width, and in the period from 2/3π to π, time ratio control is performed to gradually decrease the pulse width. Then, the characteristics of the instantaneous electric torque generated when the inverter output frequency is 0.5 Hz are as shown in FIG. As is clear from comparing this torque characteristic diagram with the torque characteristic diagram in Figure 3, the maximum value of the instantaneous torque is
In contrast to the one in the figure, which is approximately constant, in the one in Figure 5, the maximum value of the instantaneous torque changes in an arc shape as the output frequency electrical angle progresses, and the width of the drop in torque gradually decreases over time. Therefore, overall, control with unequal pulse widths has a greater effect of reducing torque pulsation than control with equal pulse widths. However, the problem with the unequal pulse width modulation method is that, as is clear from the generated electrical instantaneous torque characteristics in Figure 5, the problem with the progression of the output frequency electrical angle is particularly in the period from 0 to π/6. When comparing the average torque in the period from π/6 to π/3, it can be seen that the latter average torque is larger than the former average torque. What this means is that if it were ideal, the average torque in each period would be approximately the same, so it cannot be said that the effect of reducing torque pulsation is improved. For such an unequal pulse width modulation method, for example, an element transitioning to a conducting region and an element transitioning to a non-conducting region may be alternately switched such that when one is ON, the other is OFF. Phase-to-phase commutation is performed through ON-OFF control, and elements that transition to a conductive region gradually increase their pulse width, whereas elements that transition to a non-conductive region gradually decrease their pulse width. , there is an unequal pulse width modulation method that also uses time ratio control. In this modulation method, the control in the commutation overlap period and the control in other periods are performed completely independently, so it is possible to stop at any point even in the ultra-low speed region, which is compared to the pulse width modulation method shown in Figure 4. This enables stable low-speed operation. However, the problem is, for example, when controlling during the commutation overlap period,
As mentioned above, since the time ratio control is performed to increase or decrease the pulse width between the element transitioning to the conducting region and the element transitioning to the non-conducting region, the electrical angle of 30° and There is "velocity unevenness" in the ultra-low speed region, as seen in the unequal pulse width modulation method shown in Figure 4, where the average torque in the sections before and after 150 degrees is different, which is extremely Smooth low-speed driving cannot be expected at all.

本発明はこの点に着目して発生して発明された
ものであつて、特に本願は特定の相間で交互に
ON−OFF制御し相間転流を行なうパルス幅変調
法であつて、導通領域へ移行する素子は電気角
30゜を基点とする前後の区間の等パルス幅列の波
高値を異にし、且つ前の区間の波高値を大なるよ
うにして、これに対して非導通領域へ移行する素
子は全く正反対のパルス幅変調法を行なうように
したことを一大特徴とし、以下第6図の実施例に
基づき詳述する。
The present invention was developed by paying attention to this point, and in particular, the present application is directed to alternating between specific phases.
This is a pulse width modulation method that performs ON-OFF control and phase-to-phase commutation, and the element transitioning to the conduction region has an electrical angle
By making the peak values of the equal pulse width trains in the sections before and after 30 degrees different, and making the peak value in the previous section large, on the other hand, the element transitioning to the non-conducting region has the exact opposite. The main feature is that the pulse width modulation method is performed, and will be described in detail below based on the embodiment shown in FIG.

同実施例で1はサイリスタを純ブリツジ接続し
て形成し交流入力電力を直流電力に順変換する順
変換部で、2は直流リアクトルで、3は直列ダイ
オード方式のインバータと一般に呼称されてお
り、直流電力を交流電力に逆変換して負荷電動機
4(実施例では誘導電動機を示す)に給電する為
の逆変換部で、5は実速度信号を取出す為の速度
検出用小発電機で、6は速度指令信号を与える為
の設定器で、7は速度設定指令信号と実速度検出
信号とを比較する為の第1の比較器で、8は速度
誤差電圧を一旦増幅する為の速度制御用増幅器
で、9は入力信号の絶対値を取出す為の絶対値変
換回路で、10は直流中間回路の直流電圧を取出
す為のシヤント抵抗或いは直流変流器などの直流
電流検出器で、11は直流電流指令信号と電流検
出信号とを比較する為の第2の比較器で、12は
電流誤差電圧を一旦増幅する為の電流制御用増幅
器で、13はゲート信号を任意に移相する為の自
動パルス移相回路で、14は速度誤差電圧のすべ
り周波数指令信号を一旦増幅する為の増幅器で、
15は入力されるすべり周波数指令信号を基に所
要のパルスを発振する為の発振器で、16は発振
器より導びかれるパルス信号をカウントして後述
するが第7図の電流波形パターンに示すような、
特定期間でのパルス信号列を作り出すパルス幅変
調用カウンタで、17はパルス幅変調用カウンタ
より導びかれる出力周波電気角ωtの進行に対応
したパルス信号列と、正転を意味するF信号と逆
転を意味するR信号との3諸量を以つて逆変換部
3のサイリスタ群を順次点弧するゲート信号を得
る分周器でで、この分周器のクロツク入力端子
CLにパルス信号列が入力されることになる。1
8はリングカウンタより入力されるパルス信号を
カウントして転流重なり期間での直流電流に振幅
変調をかける為のカウンタで、191−192
NOTゲートで、201−202はANDゲートで、
21は矩形波のパルス信号を直流レベルの信号に
変換した信号を一旦増幅して、この増幅した信号
を補正信号として第2の比較器11に導びく為の
増幅器である。
In this embodiment, 1 is a forward converter formed by connecting thyristors in a pure bridge and converts AC input power into DC power, 2 is a DC reactor, and 3 is generally called a series diode type inverter. An inverter converts direct current power into alternating current power and supplies power to a load motor 4 (an induction motor is shown in the embodiment); 5 is a small generator for speed detection to extract an actual speed signal; 6 is a setting device for giving a speed command signal, 7 is a first comparator for comparing the speed setting command signal and the actual speed detection signal, and 8 is a speed control device for once amplifying the speed error voltage. 9 is an absolute value conversion circuit for extracting the absolute value of the input signal; 10 is a DC current detector such as a shunt resistor or DC transformer for extracting the DC voltage of the DC intermediate circuit; and 11 is a DC current detector. 12 is a current control amplifier for once amplifying the current error voltage; 13 is an automatic comparator for arbitrarily shifting the phase of the gate signal; In the pulse phase shift circuit, 14 is an amplifier for once amplifying the slip frequency command signal of the speed error voltage.
Reference numeral 15 is an oscillator for oscillating the required pulses based on the input slip frequency command signal, and 16 is an oscillator for counting the pulse signals derived from the oscillator. ,
17 is a pulse width modulation counter that produces a pulse signal train in a specific period, and 17 is a pulse signal train corresponding to the progression of the output frequency electrical angle ωt derived from the pulse width modulation counter, and an F signal indicating normal rotation. A frequency divider that obtains a gate signal that sequentially fires the thyristor group of the inverse converter 3 using three quantities including an R signal indicating reversal, and a clock input terminal of this frequency divider.
A pulse signal train will be input to CL. 1
8 is a counter for counting the pulse signal input from the ring counter and applying amplitude modulation to the DC current during the commutation overlap period, and 19 1 -19 2 is
It is a NOT gate, 20 1 -20 2 is an AND gate,
Reference numeral 21 denotes an amplifier for once amplifying a signal obtained by converting a rectangular wave pulse signal into a DC level signal, and guiding this amplified signal to the second comparator 11 as a correction signal.

以上のように構成される本実施例の動作を述べ
るに、先ず速度設定器6より所要の速度指令信号
が第1の比較器7に与えられると、この速度指令
信号はそのままメジヤーループの速度制御用増幅
器8→絶対値変換回路9→電流マイナーループの
第2の比較器11→電流制御用増幅器12→自動
パルス移相回路13の経路を通して、順変換部1
のサイリスタ群に与えられて順変換部1より所要
の直流電力が3の逆変換部に与えられることにな
る。この動作と並行して速度制御用増幅器8より
導びかれる速度指令信号を14の増幅器で一旦増
幅して、この増幅した直流レベルの信号を15の
発振器に与えると、発振器15は入力される電圧
に応じた周波数のパルス信号群を順次発振して、
これら信号群を16のパルス幅変調用カウンタに
与えてカウントさせる。この発振パルス信号群と
パルス幅変調用カウンタとの動作態様を示したも
のが第7図のタイムチヤート図であて、例えばパ
ルス幅変調用カウンタがパルスを5個以上カウン
トすると、先ずカウント値が5個の時点でパルス
幅変調用カウンタの図示しない第1の端子より第
7図のに示すような矩形波信号が立上つて行
き、カウント値が8個の時点で当該カウンタの第
2の端子より第7図のに示すような矩形波信号
が、さらにカウントが進んでカウント値が13個の
時点で第3の端子より第7図のに示すような矩
形波信号が、カウント値が16個の時点で第4の端
子より第7図のに示すような矩形波信号が、以
下同様にカウント値が40個の時点で第10の端子よ
り第7図のに示すような矩形波信号がそれぞれ
順次立上つて行き、これら〜で示す矩形波信
号群よりパルス幅変調用カウンタ16の図示しな
い論理ゲートで、例えばの信号と〜の信号
の否定信号〜との論理積条件をとつて第7図
の○イに示すようなパルス幅の信号を得る。同様に
しての信号と各否定信号〜との論理積
条件をとつて○ロに示すような信号を、
の信号と各否定信号〜との論理積条件をとつ
て○ハに示すような信号を、〜の信号と各否定
信号〜との論理積条件をとつて○ニに示すよう
な信号を、〜の各信号と否定信号との論理
積条件をとつて○ホに示すような信号をそれぞれ取
り出す。
To describe the operation of this embodiment configured as above, first, when a required speed command signal is given from the speed setter 6 to the first comparator 7, this speed command signal is directly used for speed control of the major loop. The forward converter 1 is connected to the forward converter 1 through the path of the amplifier 8 → absolute value converter 9 → second comparator 11 of the current minor loop → current control amplifier 12 → automatic pulse phase shift circuit 13.
The required DC power is applied to the thyristor group 1 from the forward converter 1 to the inverse converter 3. In parallel with this operation, the speed command signal derived from the speed control amplifier 8 is once amplified by the amplifier 14, and this amplified DC level signal is applied to the oscillator 15. Sequentially oscillates a group of pulse signals with frequencies corresponding to
These signal groups are applied to 16 pulse width modulation counters for counting. The operation mode of this oscillation pulse signal group and the pulse width modulation counter is shown in the time chart of FIG. 7. For example, when the pulse width modulation counter counts 5 or more pulses, the count value is When the count value reaches 8, a rectangular wave signal as shown in FIG. 7 rises from the first terminal (not shown) of the pulse width modulation counter. A rectangular wave signal as shown in Fig. 7 is sent from the third terminal when the count value reaches 13, and a rectangular wave signal as shown in Fig. At this point, a rectangular wave signal as shown in Figure 7 is sent from the 4th terminal, and similarly, when the count value reaches 40, a rectangular wave signal as shown in Figure 7 is sequentially sent from the 10th terminal. Then, from these rectangular wave signals indicated by ~, a logic gate (not shown) of the pulse width modulation counter 16 calculates the logical product condition of the signal ~ and the negation signal ~ of the signal ~, as shown in Fig. 7. Obtain a signal with a pulse width as shown in ○A. Similarly, by calculating the logical product condition of the signal and each negation signal ~, we can obtain the signal shown in ○B.
By taking the logical product condition of the signal and each negative signal ~, we can obtain a signal as shown in ○C, and by calculating the logical product condition of the signal ~ and each negative signal ~, we can obtain a signal such as shown in ○d, ~ By calculating the logical product condition of each signal and the negation signal, the signals shown in circles are extracted.

このようにして取出された○イ〜○ホの信号群のパ
ルス幅は予じめ前以つて考慮してあつて、例えば
○イ〜○ハの信号は等パルス幅で同様に○ニ○ホの信号

等パルス幅で前者の信号群のパルス幅は後者の信
号群のパルス幅より狭くなつており、これら5個
のパルス列信号群を出力周波電気角ωtの進行に
対して電気角の略π/3(rad)の期間で発生さ
せる。以上のような動作と全く同様の処理を行な
つてパルス幅変調用カウンタ16の図示しない第
2のカウンタと論理ゲートとで、第7図の電流パ
ターンに示す電気角略π/3〜略2/3πの期間
でのパルス信号を、同様にしてパルス幅変調用カ
ウンタ16の図示しなて第3のカウンタと論理ゲ
ートとで、第7図の電流パターンに示す電気角
2/3π〜πの期間でのパルス列信号群を得るよ
うにする。このようにパルス幅変調用カウンタ1
6の構成を3組のカウンタと論理ゲートとで構成
した理由は、例えば本願では転流重なり期間での
制御と他の期間での制御とをそれぞれ独立して行
なう為に配慮したものであつて、何もこのように
3組のカウンタを設ける必要はなく単に1個のカ
ウンタでも所期の目的を達成できるものであり、
さらにマイクロコンピユータを用いてソフト処理
によつても第7図の電流パターンは容易に得られ
るものである。
The pulse widths of the signal groups ○I to ○H extracted in this way are taken into consideration in advance. The signals also have equal pulse widths, and the pulse width of the former signal group is narrower than the pulse width of the latter signal group, and these five pulse train signal groups are expressed as an abbreviation of electrical angle with respect to the progression of the output frequency electrical angle ωt. It is generated in a period of π/3 (rad). By performing processing exactly the same as the above operation, the second counter (not shown) of the pulse width modulation counter 16 and the logic gate calculate the electrical angle of about π/3 to about 2 shown in the current pattern of FIG. Similarly, a third counter (not shown) of the pulse width modulation counter 16 and a logic gate convert the pulse signal in the period of /3π into electrical angles of 2/3π to π as shown in the current pattern of FIG. A pulse train signal group is obtained over a period of time. In this way, pulse width modulation counter 1
The reason why the configuration of 6 is composed of three sets of counters and logic gates is that, for example, in this application, the control in the commutation overlap period and the control in other periods are performed independently. There is no need to provide three sets of counters in this way; the desired purpose can be achieved with just one counter.
Furthermore, the current pattern shown in FIG. 7 can be easily obtained by software processing using a microcomputer.

さて第7図の電流パターンモードがパルス幅変
調用カウンタ16で得られると、例えば第7図の
〜の矩形波信号のそれぞれの立上りを図示し
ない微分回路で微分して、正転である旨のF信号
と逆転である旨のR信号とをそれぞれ取り出し、
これらF信号群とR信号群とをそれぞれ図示しな
いORゲートを介して17のリングカウンタと第
2のNOTゲート192及び第2のANDゲート2
2とにそれぞれ導びく。なおF信号はレベル
「0」であるというように予じめ前以つて配慮し
てあるので、例えばパルス幅変調用カウンタ16
より第7図に示すの信号と正転である旨のF信
号「1」とがリングカウン17に入力されると、
先ず17のリングカウンタではF信号である旨を
条件にして、逆変換部3の相順を正転モードとす
べく、逆変換部3の正極側Uアームのサイリスタ
と負極側Yアームのサイリスタとにゲート信号を
与えて点弧させると同時に、18のカウンタに第
7図の○イ信号の立上つた部分を与えてカウントさ
せる。従つてUアームのサイリスタとYアームの
サイリスタとがそれぞれ点弧すると、これらサイ
リスタを通して電動機4の図示しないU相巻線と
V相巻線の経路で負荷電流が流れ始める。かかる
状態で第7図のの信号が立上り逆転である旨の
R信号「0」がリングカウンタ17と第2の
NOTゲート192及び第2のANDゲート202
にそれぞれ与えられると、リングカウンタ17で
はR信号を基に逆変換部の相順を逆転モードとす
べく、逆変換部の正極側Wアームのサイリスタと
負極側Yアームのサイリスタとにゲート信号を与
え、電動機4の図示しないW相巻線とV相巻線の
経路で負荷電流を流すと同時に、18のカウンタ
では第7図の○イの信号で第1発目のカウントを行
なう。なお18のカウンタは第7図の○イ〜○ハの3
信号をカウントした時点では出力が「L」となる
ように予じめ配慮してあるので、○イ及び○ロ○ハの信
号をカウントした時点ではカウンタ18の出力が
「L」レベルで第1のNOTゲート191の出力は
「H」レベルとなつて、この「H」レベルの信号
が第1及び第2のANDゲート201−202とに
与えられ、F信号が入力されると第2のANDゲ
ート202の論理条件が成立してそのゲートは開
かれ、又R信号が入力されると第1のANDゲー
ト201の論理積条件が成立してそのゲートは開
かれる。このように18のカウンタが3発目まで
のパルス列信号群をカウントしている期間は、各
ANDゲートの論理積出力を21の増幅器で増幅
して、この増幅した信号をマイナーループの比較
器11に補正信号として与え、補正信号として与
え、補助指令信号とメジヤーループより与えられ
る電流指令信号とを同極性で加え合せた指令信号
を以つて、順変換部1の各サイリスタ素子の点弧
位相を制御して直流出力電流を第7図の○イ,○ロ,
○ハのパルス期間に同期して直流電流の振幅を高め
るように制御が行われるので、F信号が入力され
る正転モード時では、電動機4に供給される負荷
電流は第7図の○イ及び○ロ○ハに示すパルス信号のよ
うにレベルが一時的に高められ、これによつて出
力周波電気角ωtの移行に対して電気角が略π/
6までの期間の瞬時トルクが大きくなる。かかる
状態でパルス幅変調用カウンタ16より第7図の
○ニに示すような信号がリングカウンタ17に入力
されると、リングカウンタ17は相順を正極モー
ドとすべくUアームにYアームのサイリスタを点
弧すると同時に、○ニのパルス信号をカウンタ18
に与えてその出力を「H」レベルにする。このよ
うにカウンタ18の出力が「H」レベルになる
と、第1のNOTゲート191の出力が「L」レベ
ルとなりその後各ANDゲート201−202の論
理積条件は成立することはない。この条件を基に
増幅器21の出力が零に落ち込み、絶対値変換回
路9より与えられる電流指令信号と直流電流検出
器10より与えられる電流検出信号とを以つて順
変換部1の各サイリスタ素子の点弧位相を制御し
て、所定の電流制御が行なわれ、F信号が入力さ
れる正転モード時に於ける電動機4に供給される
負荷電流は第7図の電気角略π/6〜略π/3の
期間に示すように一時的にダウンする。
Now, when the current pattern mode shown in FIG. 7 is obtained by the pulse width modulation counter 16, for example, the rise of each of the rectangular wave signals from to in FIG. Take out the F signal and the R signal indicating reverse rotation, respectively.
These F signal group and R signal group are respectively passed through OR gates (not shown) to 17 ring counters, a second NOT gate 192 , and a second AND gate 2.
0 and 2 respectively. Note that since consideration has been made in advance that the F signal is at level "0", for example, the pulse width modulation counter 16
When the signal shown in FIG. 7 and the F signal "1" indicating normal rotation are input to the ring counter 17,
First, on the condition that the 17th ring counter is an F signal, the thyristor of the positive side U arm and the thyristor of the negative side Y arm of the inverse converter 3 are connected to set the phase order of the inverse converter 3 to the forward rotation mode. At the same time, the rising portion of the ◯ mark signal in FIG. 7 is applied to the counter 18 to count it. Therefore, when the U-arm thyristor and the Y-arm thyristor are fired, a load current begins to flow through these thyristors in the path of the U-phase winding and V-phase winding (not shown) of the motor 4. In such a state, the signal shown in FIG.
When the R signal is applied to the NOT gate 19 2 and the second AND gate 20 2 , the ring counter 17 sets the phase order of the inverse conversion unit to the inversion mode based on the R signal. A gate signal is applied to the thyristor and the thyristor of the negative side Y arm, and at the same time, the load current is caused to flow through the path of the W-phase winding and the V-phase winding (not shown) of the motor 4, and at the same time, the counter 18 Perform the first count at the signal. Note that the counter 18 is 3 from ○I to ○C in Figure 7.
Since consideration has been made in advance so that the output will be "L" at the time the signals are counted, the output of the counter 18 will be at the "L" level at the time the signals ○A and ○RO○C are counted. The output of the NOT gate 191 becomes "H" level, and this "H" level signal is given to the first and second AND gates 201-202 , and when the F signal is input, the When the logical condition of the second AND gate 20 2 is satisfied, the gate is opened, and when the R signal is input, the logical product condition of the first AND gate 20 1 is satisfied and the gate is opened. In this way, during the period when the 18 counters are counting up to the third pulse train signal group, each
The logical product output of the AND gate is amplified by the amplifier 21, and this amplified signal is given as a correction signal to the comparator 11 of the minor loop. Using the command signals added with the same polarity, the firing phase of each thyristor element of the forward converter 1 is controlled to change the DC output current to ○a, ○b in Fig. 7.
Since control is performed to increase the amplitude of the DC current in synchronization with the pulse period of ○C, in the normal rotation mode where the F signal is input, the load current supplied to the motor 4 is as shown in ○I in Fig. 7. The level is temporarily increased as shown in the pulse signals shown in and ○Ro○C, and as a result, the electrical angle becomes approximately π/with respect to the transition of the output frequency electrical angle ωt.
The instantaneous torque in the period up to 6 becomes large. In this state, when the pulse width modulation counter 16 inputs a signal as shown in ○D in FIG. At the same time as the ignition, the pulse signal of ○2 is sent to the counter 18.
to set the output to "H" level. In this way, when the output of the counter 18 goes to the "H" level, the output of the first NOT gate 191 goes to the "L" level, and the AND conditions of the AND gates 201-202 are no longer satisfied . Based on this condition, the output of the amplifier 21 drops to zero, and the current command signal given from the absolute value conversion circuit 9 and the current detection signal given from the DC current detector 10 are used to control each thyristor element of the forward conversion section 1. The load current supplied to the motor 4 in the normal rotation mode in which the ignition phase is controlled to perform predetermined current control and the F signal is input is approximately π/6 to approximately π in electrical angle as shown in FIG. It goes down temporarily as shown in the period of /3.

以上のように、出力周波電気角ωtの進行に対
して電気角が略π/3までの期間(この期間は転
流重なり期間を示す)に於ては、F信号を以つて
導通領域へ移行するUアームのサイリスタを点弧
し、又R信号を以つて非導通領域へ移行するWア
ームのサイリスタを点弧して、且つ導通領域へ移
行する素子と非導通領域へ移行する素子とを交互
にON−OFF制御する過程で、特に本願は、導通
領域へ移行する素子に対して電気角が略π/6ま
での期間に於ける電動機に給電する電流パルス幅
のレベルと、電気角が略π/6〜略π/3までの
期間に於ける電動機に給電する電流パルス幅のレ
ベルとをそれぞれ異にし、前者のレベルが後者の
レベルより大ならしめるように所定のパルス幅制
御を行ない、これに対して非導通領域へ移行する
素子に対しては全く逆の関係となるような所定の
パルス幅制御を行なうので、従来の不等パルス幅
変調法さらには時間比制御による不等パルス幅変
調法と相間での転流制御とを併用した方法に比
し、第5図の発生電気的瞬時トルク特性図に示す
破線の特性のように、特に電気角がπ/6までの
期間に於ける瞬時トルクの波高値が高くなつて平
均トルクが上昇し、同期間の平均トルクと電気角
がπ/6〜π/3までの期間に於ける平均トルク
とが略同レベルになつたことが理解できる。この
ように転流重なり期間での第1の期間と第2の期
間との各平均トルクを略同レベルにしたことを本
願の特徴としている。なお電気角が略π/3に達
した時点ではW相よりU相側への転流が完全に完
了しているので、電気角が略π/3の時点以後は
定パルス幅の信号をU相アームに供給して、この
動作を電気角が略2/3πの時点まで継続して負
極側のYアームとZアームとに交互に負荷電流を
流す。この期間での電流パターンモードは第7図
で示されるようなパターンモードとなるが、第7
図のパターンモードで定パルス幅のレベルが出力
周波電気角ωtの移行に対して時間的に異なる理
由は、例えば負極側のYアームが非導通領域へ移
行し、これに対して負極側のZアームが導通領域
へ移行する過程で、前述したように負極側のYア
ームとZアームとを交互にON−OFF制御し、且
つこれら各アームに供給する電流パルスの各期間
での幅とレベルとをそれぞれ異なるようにして、
各期間での瞬時トルクの平均値が略同一レベルと
なるように所定のパルス幅制御を行なう為であ
る。このように第7図に示す電流パターンモード
の信号をリングカウンタに与えてF信号或いはR
信号を基に逆変換部の素子群を予じめ規定された
時間幅でON−OFF制御すると、第8図の(イ)〜(ハ)
に示すようなパルス幅変調された電流が電動機に
供給されることになる。なお第8図の電流波形図
で(イ)はU相の相電流を示し(ロ)はV相の相電流を、
同時に(ハ)はW相の相電流を示す。
As described above, during the period when the electrical angle reaches approximately π/3 with respect to the progression of the output frequency electrical angle ωt (this period indicates the commutation overlap period), the F signal causes a transition to the conduction region. The thyristor of the U-arm to be activated is fired, and the thyristor of the W-arm to be transitioned to a non-conductive area is activated by the R signal, and the elements to be transitioned to a conductive area and the elements to be transitioned to a non-conductive area are alternately switched on. In the process of ON-OFF control, the present invention particularly focuses on the level of the current pulse width supplied to the motor during the period up to approximately π/6 electrical angle for the element transitioning to the conductive region, and the The level of the current pulse width supplied to the motor in the period from π/6 to approximately π/3 is made different, and a predetermined pulse width control is performed so that the former level is greater than the latter level, On the other hand, for elements transitioning to a non-conducting region, a predetermined pulse width control with a completely opposite relationship is performed, so the conventional unequal pulse width modulation method or unequal pulse width using time ratio control is used. Compared to the method that uses both the modulation method and the commutation control between phases, as shown by the broken line in the generated electrical instantaneous torque characteristic diagram in Fig. 5, especially in the period when the electrical angle is up to π/6, As the peak value of the instantaneous torque increases, the average torque increases, and the average torque for the same period and the average torque for the period from electrical angle π/6 to π/3 are approximately at the same level. It can be understood. A feature of the present application is that the average torques of the first period and the second period in the commutation overlapping period are made to be approximately at the same level. Note that when the electrical angle reaches approximately π/3, the commutation from the W phase to the U phase side is completely completed, so after the electrical angle reaches approximately π/3, the constant pulse width signal is This operation is continued until the electrical angle reaches approximately 2/3π, and the load current is alternately applied to the Y arm and Z arm on the negative side. The current pattern mode during this period becomes the pattern mode shown in FIG.
The reason why the level of the constant pulse width differs in time with respect to the transition of the output frequency electrical angle ωt in the pattern mode shown in the figure is that, for example, the Y arm on the negative side shifts to the non-conducting region, whereas the Z arm on the negative side In the process of the arm transitioning to the conduction region, as mentioned above, the Y arm and Z arm on the negative side are alternately ON-OFF controlled, and the width and level of the current pulse supplied to each arm are controlled in each period. be different from each other,
This is to perform predetermined pulse width control so that the average value of instantaneous torque in each period is approximately at the same level. In this way, by applying the current pattern mode signal shown in FIG. 7 to the ring counter, the F signal or R
When the elements of the inverse conversion section are controlled ON-OFF in a predefined time width based on the signal, (A) to (C) in Fig. 8 are obtained.
A pulse width modulated current as shown in is supplied to the motor. In the current waveform diagram of Fig. 8, (a) indicates the U-phase current, and (b) indicates the V-phase phase current.
At the same time, (c) shows the phase current of the W phase.

以上のように本発明に於いては、転流重なり期
間内で導通領域へ移行する素子と非導通領域へ移
行する素子とで交互にON−OFF制御して相間転
流を行なうパルス幅変調法で、特に導通領域へ移
行する素子に対しては、電気角0〜π/6の期間
の電流パルス幅のレベルを電気角π/6〜π/3
の期間のレベルより大なるようにし、又、非導通
領域へ移行する素子に対しては全く正反対となる
電流パルス幅の信号を与えるようにして、所定の
パルス幅制御を行なうので以下に示すように種々
の効果を奏すものである。
As described above, in the present invention, the pulse width modulation method performs phase-to-phase commutation by alternately controlling ON-OFF of elements transitioning to a conductive region and elements transitioning to a non-conducting region within a commutation overlap period. In particular, for elements transitioning to the conduction region, the level of the current pulse width during the period of electrical angle 0 to π/6 is set to electrical angle π/6 to π/3.
The current pulse width is controlled to be larger than the level during the period of , and a signal with a completely opposite current pulse width is given to the element transitioning to the non-conducting region. It has various effects.

出力周波電気角の進行に対して、電気角が0
〜π/6までの期間と電気角がπ/6〜略π/
3までの期間との平均トルクを略同一レベルと
したので、超低速度領域および低速度領域での
トルク脈動を効果的に抑制できる。
The electrical angle is 0 with respect to the progression of the output frequency electrical angle.
The period up to π/6 and the electrical angle are π/6 to approximately π/
Since the average torque is set to approximately the same level as in the period up to 3, torque pulsation in the ultra-low speed region and the low speed region can be effectively suppressed.

転流重なり期間でインバータの直流電流に振
幅変調をかけるので、低速度領域での速度ムラ
がなくなり滑らかな低速運転を行なうことがで
きる。
Since amplitude modulation is applied to the DC current of the inverter during the commutation overlap period, speed unevenness in the low speed region is eliminated and smooth low speed operation can be performed.

低速度領域でインバータに直流電流に振幅変
調をかけるので、発生電気的瞬時トルクの各期
間での平均トルクを総体的に高めることがで
き、始動特性を改善できるばかりでなく、非常
に制御性がよいPWMインバータを提供するこ
とができる。
Since amplitude modulation is applied to the DC current of the inverter in the low speed region, it is possible to increase the average torque in each period of the generated instantaneous electrical torque, which not only improves the starting characteristics but also greatly improves controllability. Can provide good PWM inverter.

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

第1図は従来の120゜方形波インバータによる出
力周波電気角ωtの進行に対する発生電気的瞬時
トルクを示すトルク特性図、第2図は従来の等パ
ルス幅変調法による電流パターン波形図、第3図
は従来の120゜方形波インバータと等パルス幅変調
法との発生電気的瞬時トルク特性の関係を示すト
ルク特性図、第4図は従来の不等パルス幅変調法
による電流パターン波形図、第5図は従来の不等
パルス幅変調法と本発明によるパルス幅変調法と
の発生電気的瞬時トルク特性の関係を示すトルク
特性図、第6図は本発明による一実施例を示すパ
ルス幅変調型インバータの具体的な回路構成図、
第7図は本願の要部たるパルス幅変調用カウンタ
の出力周波電気角ωtの進行に対する動作を示す
タイムチヤート図、第8図は本発明によるパルス
幅変調型インバータの相電流を示す電流パターン
波形図。 1は順変換部、2は直流リアクトル、3は逆変
換部、4は負荷電動機、6は速度設定器、7−1
1は比較器、8は速度制御用増幅器、9は絶対値
変換回路、10は直流電流検出器、12は電流制
御用増幅器、13は自動パルス移相回路、14−
21は増幅器、15は発振器、16はパルス幅変
調用カウンタ、17はリングカウンタ、18はカ
ウンタ、191−192はNOTゲート、201−2
2はANDゲート。
Figure 1 is a torque characteristic diagram showing the generated electrical instantaneous torque with respect to the progression of the output frequency electrical angle ωt by a conventional 120° square wave inverter, Figure 2 is a current pattern waveform diagram by the conventional equal pulse width modulation method, and Figure 3 The figure is a torque characteristic diagram showing the relationship between the electric instantaneous torque characteristics generated by a conventional 120° square wave inverter and the equal pulse width modulation method. Figure 4 is a current pattern waveform diagram by the conventional unequal pulse width modulation method. Figure 5 is a torque characteristic diagram showing the relationship between the generated electrical instantaneous torque characteristics between the conventional unequal pulse width modulation method and the pulse width modulation method according to the present invention, and Figure 6 is a pulse width modulation diagram showing an embodiment of the present invention. Specific circuit diagram of type inverter,
FIG. 7 is a time chart showing the operation of the pulse width modulation counter, which is the main part of the present application, with respect to the progression of the output frequency electrical angle ωt, and FIG. 8 is a current pattern waveform showing the phase current of the pulse width modulation type inverter according to the present invention. figure. 1 is a forward conversion section, 2 is a DC reactor, 3 is an inverse conversion section, 4 is a load motor, 6 is a speed setting device, 7-1
1 is a comparator, 8 is a speed control amplifier, 9 is an absolute value conversion circuit, 10 is a DC current detector, 12 is a current control amplifier, 13 is an automatic pulse phase shift circuit, 14-
21 is an amplifier, 15 is an oscillator, 16 is a pulse width modulation counter, 17 is a ring counter, 18 is a counter, 19 1 -19 2 is a NOT gate, 20 1 -2
0 2 is an AND gate.

Claims (1)

【特許請求の範囲】[Claims] 1 サイリスタ純ブリツチ接続の順変換部と直流
リアクトルと直列ダイオード方式の逆変換部と制
御部とで構成する電流形インバータで、前記逆変
換部より負荷に給電する交流出力電流にパルス幅
変調をかける場合に、逆変換部の転流重なり期間
で導通領域へ移行する素子と非導通領域へ移行す
る素子とを交互にON−OFF制御して相間転流を
行い、転流重なり期間での制御と他の期間での制
御とを独立して行うようにしたものに於いて、逆
変換部の出力周波数が所定値以下の低速度領域で
の制御を前記転流重なり期間の中で導通領域側へ
移行する素子は電気角が0からπ/6までの期間
(T1)は等パルス幅(パルス幅A)信号列のレベ
ルを、電気角がπ/6よりπ/3までの期間
(T2)における等パルス幅(パルス幅B)信号列
のレベルより大なるようにし、非導通領域側へ移
行する素子は、前記期間T1における等パルス幅
(パルス幅B)信号列のレベルを、前記期間T2に
おける等パルス幅(パルス幅A)信号列のレベル
より小なるように、順変換部を制御する電流マイ
ナーループに導通領域側に移行する素子が前記
T1期間のON期間と、非導通領域側に移行する素
子のT2期間のON期間に同期してそれぞれのON
期間のみに補正信号を加算して、順変換部の各素
子の点弧位相を制御して直流電流に電流振幅変調
をかけるようにしたことを特徴とするパルス幅変
調型インバータの制御方法。
1 A current source inverter consisting of a thyristor pure brittle connection forward conversion section, a DC reactor, a series diode type inverse conversion section, and a control section, which applies pulse width modulation to the AC output current supplied to the load from the inverse conversion section. In this case, phase-to-phase commutation is performed by alternately controlling ON and OFF the elements that transition to the conduction region and the elements that transition to the non-conduction region during the commutation overlap period of the inverse conversion section, and control the elements during the commutation overlap period. In a device in which the control in other periods is performed independently, the control in the low speed region where the output frequency of the inverse conversion section is below a predetermined value is shifted to the conduction region side within the commutation overlap period. The transition element changes the level of the signal train with equal pulse width (pulse width A) during the period when the electrical angle is from 0 to π/6 (T1), and the level of the signal train with equal pulse width (pulse width A) during the period when the electrical angle is from π/6 to π/3 (T2). The level of the equal pulse width (pulse width B) signal train is set to be greater than the level of the equal pulse width (pulse width B) signal train in the period T2, and the element that moves to the non-conducting region side makes the level of the equal pulse width (pulse width B) signal train in the period T1 higher than the level of the signal train in the period T2. The element that moves to the conduction region side of the current minor loop that controls the forward conversion section is set so that the level of the equal pulse width (pulse width A) signal train is smaller than the level of the signal train.
Each ON period is synchronized with the ON period of the T1 period and the ON period of the T2 period of the element transitioning to the non-conducting region side.
A method for controlling a pulse width modulation type inverter, characterized in that a correction signal is added only during a period to control the firing phase of each element of a forward conversion section and apply current amplitude modulation to a direct current.
JP57025276A 1982-02-19 1982-02-19 Controlling method for pulse width modulation inverter Granted JPS58144576A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP57025276A JPS58144576A (en) 1982-02-19 1982-02-19 Controlling method for pulse width modulation inverter

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP57025276A JPS58144576A (en) 1982-02-19 1982-02-19 Controlling method for pulse width modulation inverter

Publications (2)

Publication Number Publication Date
JPS58144576A JPS58144576A (en) 1983-08-27
JPH0442909B2 true JPH0442909B2 (en) 1992-07-14

Family

ID=12161494

Family Applications (1)

Application Number Title Priority Date Filing Date
JP57025276A Granted JPS58144576A (en) 1982-02-19 1982-02-19 Controlling method for pulse width modulation inverter

Country Status (1)

Country Link
JP (1) JPS58144576A (en)

Also Published As

Publication number Publication date
JPS58144576A (en) 1983-08-27

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