JPH05316788A - Driver for brushless motor - Google Patents

Driver for brushless motor

Info

Publication number
JPH05316788A
JPH05316788A JP4117483A JP11748392A JPH05316788A JP H05316788 A JPH05316788 A JP H05316788A JP 4117483 A JP4117483 A JP 4117483A JP 11748392 A JP11748392 A JP 11748392A JP H05316788 A JPH05316788 A JP H05316788A
Authority
JP
Japan
Prior art keywords
signal
switching
timing
drive
brushless motor
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.)
Granted
Application number
JP4117483A
Other languages
Japanese (ja)
Other versions
JP3102520B2 (en
Inventor
Yoshihiro Iwasaki
善宏 岩崎
Masato Mori
真人 森
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.)
Mitsubishi Electric Corp
Original Assignee
Mitsubishi Electric Corp
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 Mitsubishi Electric Corp filed Critical Mitsubishi Electric Corp
Priority to JP04117483A priority Critical patent/JP3102520B2/en
Publication of JPH05316788A publication Critical patent/JPH05316788A/en
Application granted granted Critical
Publication of JP3102520B2 publication Critical patent/JP3102520B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

PURPOSE:To obtain an inexpensive driver for brushless motor having simple circuitry in which switching from external control driving to synchronous driving can be made positively at the time of starting. CONSTITUTION:Rising and falling edges of counter-electromotive force detection signal are detected through the use of signal edge detecting function 16 of a microcomputor 13 thus obtaining a timing for switching a driving output signal pattern. Time difference between a driving output switching timing and pattern switching timing for external control signal is measured by means of a timer 15 and switching is made from external control driving to synchronous driving when the time difference is equal or close to zero. If the driving output pattern switching timing occurs with time lag behind the pattern switching timing for external control signal, a decision is made that starting failed and stop process takes place. This driver realizes positive switching from external control driving to synchronous driving through simple circuitry at low cost.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】この発明は、駆動巻線に発生する
逆起電圧によりロータの位置を検出してロータを駆動す
るブラシレスモータの駆動装置に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a brushless motor drive device for detecting the position of a rotor by a counter electromotive voltage generated in a drive winding to drive the rotor.

【0002】[0002]

【従来の技術】図4は例えば特公昭59−36520号
公報に示された従来のブラシレスモータの駆動装置を示
す回路構成図であり、図において、1はブラシレスモー
タ、2はスイッチング素子2Ta〜2Tf及び還流ダイ
オード2Da〜2Dfで構成されたインバータ回路、3
はブラシレスモータ1と同じくインバータ回路2の出力
に接続されているフィルタ回路、4はフィルタ回路3の
出力に接続されているコンパレータ、5は起動時に他制
式駆動するための発振器、6は発振器5の出力に接続さ
れているシフトレジスタ、7はシフトレジスタ6からの
他制式信号及びコンパレータ4の出力信号を切換指令に
より変更する切換スイッチ、8は切換スイッチ7によっ
て選択された3相信号を6相のスイッチング素子2Ta
〜2Tf制御信号に変換するロジック回路である。
2. Description of the Related Art FIG. 4 is a circuit diagram showing a conventional brushless motor driving device disclosed in, for example, Japanese Examined Patent Publication No. 59-36520. In FIG. And an inverter circuit composed of free wheeling diodes 2Da to 2Df, 3
Is a filter circuit connected to the output of the inverter circuit 2 like the brushless motor 1, 4 is a comparator connected to the output of the filter circuit 3, 5 is an oscillator for other control drive at startup, and 6 is an oscillator 5. A shift register connected to the output, 7 is a changeover switch for changing the other control signal from the shift register 6 and the output signal of the comparator 4 by a changeover command, and 8 is a three-phase signal selected by the changeover switch 7 for a 6-phase signal. Switching element 2Ta
Is a logic circuit for converting to a 2Tf control signal.

【0003】また、図5の9a〜9f,10a,10b
は論理回路、11a,11bは論理回路10の出力に接
続されたフィルタ、12はフィルタ11の出力に接続さ
れた差動アンプである。
Further, 9a to 9f, 10a and 10b in FIG.
Is a logic circuit, 11a and 11b are filters connected to the output of the logic circuit 10, and 12 is a differential amplifier connected to the output of the filter 11.

【0004】次に動作について説明する。基本的動作と
しては、ブラシレスモータ1のロータの回転位置に応じ
てスイッチング素子2Ta〜2Tfが制御されることに
よりブラシレスモータ1の回転が接続される。
Next, the operation will be described. As a basic operation, the rotation of the brushless motor 1 is connected by controlling the switching elements 2Ta to 2Tf according to the rotational position of the rotor of the brushless motor 1.

【0005】ここで起動時においては、ブラシレスモー
タ1を他制式駆動するため、発振器5の出力をシフトレ
ジスタ6により3相に変換した他制式信号が切換スイッ
チ7によって選択される。この切換スイッチ7によって
選択された他制式信号でブラシレスモータ1のロータが
起動加速し、駆動巻線に逆起電圧が発生する。逆起電圧
信号はフィルタ回路3及びコンパレータ4を介して図6
の20a〜20cのような逆起電圧検出信号に成形され
る。
At the time of start-up, the brushless motor 1 is driven by another control method, so that the control switch 7 selects another control signal obtained by converting the output of the oscillator 5 into three phases by the shift register 6. The rotor of the brushless motor 1 is started and accelerated by the other control signal selected by the changeover switch 7, and a counter electromotive voltage is generated in the drive winding. The back electromotive force signal is transmitted through the filter circuit 3 and the comparator 4 as shown in FIG.
20a to 20c of the counter electromotive voltage detection signal.

【0006】一方、図6の21aはa相のための他制式
信号であり、逆起電圧信号20aとの論理比較に更に図
5の論理回路9aに示すように、20bの反転信号を加
え、位相差零を基準としてロータが位相進みのとき、こ
れに比例した実線のパルス幅信号23が得られる。各位
相についても同様に図5の論理回路10aで結合し、そ
のパルス幅信号23は実線及び破線で示す信号になる。
On the other hand, reference numeral 21a in FIG. 6 is another controlled signal for the phase a, and in addition to the logical comparison with the counter electromotive voltage signal 20a, an inverted signal of 20b is added as shown in the logic circuit 9a in FIG. When the rotor advances in phase with reference to the phase difference of zero, a pulse width signal 23 of a solid line proportional to this is obtained. Similarly, the respective phases are combined by the logic circuit 10a of FIG. 5, and the pulse width signal 23 becomes a signal shown by a solid line and a broken line.

【0007】また、ロータの位相が遅れて他制式信号が
図6の22aの状態のときは、前と同様に図5の論理回
路9d及び10bにより、位相遅れを示す図6のパルス
幅信号24が得られる。
When the phase of the rotor is delayed and the other control signal is in the state of 22a of FIG. 6, the pulse width signal 24 of FIG. 6 showing the phase delay is output by the logic circuits 9d and 10b of FIG. 5 as before. Is obtained.

【0008】これらパルス幅信号23及び24を各々フ
ィルタ11で平滑し、差動アンプ12に印可すると、そ
の出力はロータの回転信号に対して位相差を示す直流信
号となり、位相進みで正の電圧、遅れで負の電圧、位相
差なしで零電圧となるので、この零もしくは零近くの電
圧値を検出して切換指令とし、他制式信号による他制式
駆動を逆電圧検出信号による同期式駆動に切換る。
When these pulse width signals 23 and 24 are respectively smoothed by the filter 11 and applied to the differential amplifier 12, the output becomes a DC signal showing a phase difference with respect to the rotation signal of the rotor, and a positive voltage due to phase advance. , With a delay, a negative voltage and a zero voltage without a phase difference are detected.Therefore, the voltage value at or near zero is detected and used as a switching command. Switch.

【0009】[0009]

【発明が解決しようとする課題】従来のブラシレスモー
タの駆動装置は以上のように構成されているので、位相
差を検出するための回路が複雑で、また、部品点数も多
くコスト高であるなどの問題点があった。
Since the conventional brushless motor driving device is constructed as described above, the circuit for detecting the phase difference is complicated, and the number of parts is large and the cost is high. There was a problem.

【0010】この発明は上記のような問題点を解消する
ためになされたもので、回路構成が簡易で確実に他制式
駆動から同期式駆動に切換えられ、安価なブラシレスモ
ータの駆動装置を得ることを目的とする。
The present invention has been made in order to solve the above problems, and a circuit configuration is simple and can be surely switched from the alternative drive to the synchronous drive, and an inexpensive brushless motor drive device can be obtained. With the goal.

【0011】[0011]

【課題を解決するための手段】この発明に係るブラシレ
スモータの駆動装置は、逆電圧信号から駆動出力信号パ
ターンを切換えるタイミングを判断するパターン出力タ
イミング判別手段と、前出力切換えタイミングと他制式
信号のパターン切換えタイミングの時間差を計測する時
間差計測手段と、予め定められた基準時間と前計測結果
を比較して時間差が零あるいは零付近のときに他制式駆
動から同期式駆動に切換える手段と、他制式信号のパタ
ーン切換えタイミングより逆起電圧信号によって駆動出
力パターンを切換えるタイミングが別の基準時間より遅
い時間に発生した場合は起動失敗と判断して停止処理を
行う起動失敗判別手段とを備えている。
A brushless motor drive apparatus according to the present invention includes a pattern output timing determination means for determining a timing for switching a drive output signal pattern from a reverse voltage signal, a front output switching timing, and another control signal. A time difference measuring means for measuring a time difference between pattern switching timings, a means for comparing a predetermined reference time with a previous measurement result, and a means for switching from another type drive to a synchronous type drive when the time difference is zero or near zero, and another type When the timing of switching the drive output pattern by the counter electromotive voltage signal from the signal pattern switching timing occurs later than another reference time, it is determined that the startup is unsuccessful, and the startup failure determination means performs stop processing.

【0012】[0012]

【作用】この発明におけるブラシレスモータの駆動装置
は、逆起電圧信号による駆動出力切換えタイミングと他
制式信号のパターン切換えタイミングの時間差を計測
し、その時間差が零あるいは零付近のとき他制式駆動か
ら同期式駆動に切換える。そして、もしも他制式信号の
パターン切換えタイミングより逆起電圧信号によって駆
動出力パターンを切換えるタイミングが遅く発生した場
合、起動失敗と判断して停止処理を行う。
The brushless motor driving device according to the present invention measures the time difference between the drive output switching timing by the back electromotive voltage signal and the pattern switching timing of the other control signal, and when the time difference is zero or near zero, it synchronizes from the other control drive. Switch to type drive. If the timing at which the drive output pattern is switched by the back electromotive force signal occurs later than the pattern switching timing of the other control signal, it is determined that the startup has failed, and the stop processing is performed.

【0013】[0013]

【実施例】実施例1.以下、この発明の一実施例を図に
ついて説明する。図1において、1はブラシレスモー
タ、2はスイッチング素子2Ta〜2Tf及び還流ダイ
オード2Da〜2Dfで構成されたインバータ回路、3
はフィルタ回路、4はコンパレータであり、これらは図
4に示す従来回路と同様の部分である。
EXAMPLES Example 1. An embodiment of the present invention will be described below with reference to the drawings. In FIG. 1, 1 is a brushless motor, 2 is an inverter circuit composed of switching elements 2Ta to 2Tf and freewheeling diodes 2Da to 2Df, 3
Is a filter circuit, 4 is a comparator, and these are the same parts as the conventional circuit shown in FIG.

【0014】また、13はメモリ14やタイマ15、信
号エッジ検出機能16等で構成されスイッチング素子2
Ta〜2Tf制御信号を出力するマイクロコンピュータ
(以下、マイコンと称す)である。
A switching element 2 includes a memory 14, a timer 15, a signal edge detecting function 16 and the like.
It is a microcomputer (hereinafter, referred to as a microcomputer) that outputs a Ta to 2Tf control signal.

【0015】次に動作について説明する。基本動作とし
ては、従来例と同じであるが、起動時にブラシレスモー
タ1を他制式駆動するには、予めマイコン13のメモリ
14に記憶されている他制式信号を出力する。この他制
式信号によりブラシレスモータ1のロータが起動加速
し、駆動巻線に逆起電圧が発生する。逆起電圧信号はフ
ィルタ回路3及びコンパレータ4を介して図2の30a
〜30cのような逆起電圧検出信号となる。そして、各
逆起電圧検出信号の立上り及び立下りエッジをマイコン
13の信号エッジ検出機能16を用いて検出することに
より駆動出力信号パターンを切換えるタイミングが得ら
れる。
Next, the operation will be described. The basic operation is the same as the conventional example, but in order to drive the brushless motor 1 in another system at the time of start-up, the other system signal stored in advance in the memory 14 of the microcomputer 13 is output. The rotor of the brushless motor 1 is started and accelerated by the other control signal, and a counter electromotive voltage is generated in the drive winding. The counter electromotive voltage signal is passed through the filter circuit 3 and the comparator 4 to 30a of FIG.
A counter electromotive voltage detection signal such as ~ 30c is obtained. Then, the rising edge and the falling edge of each back electromotive voltage detection signal are detected by using the signal edge detection function 16 of the microcomputer 13 to obtain the timing for switching the drive output signal pattern.

【0016】一方、図2の31a〜31c,32a〜3
2cは各相の他制式信号であるが、ほぼ同条件のもとに
マイコン13から出力を開始するため、ロータの加速に
より発生した逆起電圧検出信号のエッジ(例えば図2の
イ)に対して、他制式信号の立上りエッジ(図2のロ)
は遅れており、時間の経過と共に両エッジ間の時間差
(図2の33)も小さくなって行く。
On the other hand, 31a to 31c and 32a to 3 in FIG.
2c is an alternative control signal for each phase, but since output from the microcomputer 13 is started under substantially the same conditions, the counter electromotive force detection signal edge generated by acceleration of the rotor (for example, a in FIG. 2) is And the rising edge of the other system signal (Fig. 2B)
Is delayed, and the time difference between both edges (33 in FIG. 2) becomes smaller as time passes.

【0017】ここで、前記時間差の計測方法とその他動
作を図3のフローチャートにより説明する。まず、ステ
ップ40ですでに時間差計測を行っているか判断し、計
測していなければステップ41で駆動出力を切換えるタ
イミングかどうかを判断する。切換えタイミングでなけ
ればリターンするが、切換えタイミングであればステッ
プ42でタイマ15を用いてタイマカウントを開始して
リターンする。そして、ステップ40ですでに計測を行
っているならば、ステップ43で出力継続中の他制式信
号の切換えタイミングかどうかを判断する。この時も切
換えタイミングでなければリターンするが、切換えタイ
ミングであればステップ44でタイマカウントを停止す
る。今までの流れにより、逆起電圧検出信号のエッジと
他制式信号の立上がりエッジ間の時間差が計測されたこ
とになる。
Now, the method of measuring the time difference and other operations will be described with reference to the flowchart of FIG. First, in step 40, it is determined whether the time difference measurement has already been performed, and if not, it is determined in step 41 whether it is the timing for switching the drive output. If it is not the switching timing, the process returns, but if it is the switching timing, the timer count is started using the timer 15 in step 42 and the process returns. If the measurement has already been performed in step 40, it is determined in step 43 whether it is the switching timing of the other system signal during which the output is continued. At this time as well, the process returns if it is not the switching timing, but if it is the switching timing, the timer count is stopped in step 44. By the flow so far, the time difference between the edge of the back electromotive force detection signal and the rising edge of the other control signal is measured.

【0018】次にステップ45でメモリ14に記憶され
ている値として零に近い基準時間1と計測した時間とを
比較し、基準時間1以内ならばステップ46で他制式駆
動から同期式駆動に切換える。基準時間1以内でなけれ
ば、更にステップ47でメモリ14に記憶されている基
準時間2と計測した時間を比較し、基準時間2に達して
いなければリターンするが、基準時間2以上に達してい
るならば起動失敗であるとしてステップ48で駆動出力
を即座に停止する。
Next, in step 45, the reference time 1 which is close to zero as the value stored in the memory 14 is compared with the measured time. If the reference time is 1 or less, in step 46 the other system drive is switched to the synchronous drive. .. If it is not within the reference time 1, the measured time is further compared with the reference time 2 stored in the memory 14 in step 47. If the reference time 2 is not reached, the process returns, but the reference time 2 or more is reached. In this case, the drive output is immediately stopped in step 48 because the start has failed.

【0019】よって、例えば図2の33のハあるいはニ
のような小さな時間差となった場合には他制式駆動から
同期式駆動に切換えられ、反対に時間差がある程度大き
くなった場合には他制式信号のパターン切換えタイミン
グより逆起電圧信号によって駆動出力パターンを切換え
るタイミングが遅く発生したとして、起動失敗と判断し
停止処理を行っている。
Therefore, when there is a small time difference such as C or D in FIG. 2C, the other system drive is switched to the synchronous system drive. On the contrary, when the time difference becomes large to some extent, the other system signal is given. If the timing for switching the drive output pattern by the counter electromotive voltage signal occurs later than the pattern switching timing, it is determined that the startup has failed, and the stop processing is performed.

【0020】[0020]

【発明の効果】以上のように、この発明によれば、イン
バータ回路を他制式信号により制御してブラシレスモー
タを起動し、その後駆動巻線に発生した逆起電圧信号に
基づき前記インバータ回路を同期式信号で制御して前記
ブラシレスモータを定常運転させるブラシレスモータの
駆動装置において、他制式起動後、前記逆電圧信号から
駆動出力信号パターンを切換えるタイミングを判断する
パターン出力タイミング判別手段と、前出力切換えタイ
ミングと他制式信号のパターン切換えタイミングの時間
差を計測する時間差計測手段と、予め定められた基準時
間と前計測結果を比較して時間差が零あるいは零付近の
ときに他制式駆動から同期式駆動に切換える手段と、他
制式信号のパターン切換えタイミングより逆起電圧信号
によって駆動出力パターンを切換えるタイミングが別の
基準時間より遅い時間に発生した場合は起動失敗と判断
して停止処理を行う起動失敗判別手段とを備えた構成に
したので、確実に切換えられ、また、回路構成が簡易で
安価なものが得られる効果がある。
As described above, according to the present invention, the inverter circuit is controlled by the other control signal to start the brushless motor, and then the inverter circuit is synchronized based on the counter electromotive voltage signal generated in the drive winding. In a drive device for a brushless motor that is controlled by a formula signal to normally operate the brushless motor, pattern output timing discriminating means for discriminating the timing for switching the drive output signal pattern from the reverse voltage signal after another control start, and front output switching The time difference measuring means for measuring the time difference between the timing and the pattern switching timing of the other control signal is compared with the predetermined reference time and the previous measurement result to change from the other control drive to the synchronous drive when the time difference is zero or near zero. Switching means and drive output by counter electromotive voltage signal from pattern switching timing of other system signal If the timing for switching the turn occurs later than another reference time, it is determined that the startup has failed and the startup failure determination means for performing the stop processing is provided. There is an effect that a simple and inexpensive product can be obtained.

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

【図1】この発明の一実施例によるブラシレスモータの
駆動装置を示す回路構成図である。
FIG. 1 is a circuit configuration diagram showing a brushless motor driving device according to an embodiment of the present invention.

【図2】この発明の一実施例によるブラシレスモータの
駆動装置の動作を説明する各部波形図である。
FIG. 2 is a waveform chart of each part for explaining the operation of the brushless motor driving device according to the embodiment of the present invention.

【図3】この発明の一実施例によるブラシレスモータの
駆動装置の動作を説明するフローチャート図である。
FIG. 3 is a flow chart for explaining the operation of the brushless motor driving device according to the embodiment of the present invention.

【図4】従来のブラシレスモータの駆動装置を示す回路
構成図である。
FIG. 4 is a circuit configuration diagram showing a conventional brushless motor driving device.

【図5】従来のブラシレスモータの駆動装置において位
相を検出する回路図である。
FIG. 5 is a circuit diagram for detecting a phase in a conventional brushless motor driving device.

【図6】従来のブラシレスモータの駆動装置の動作を説
明する各部波形図である。
FIG. 6 is a waveform chart for explaining the operation of a conventional brushless motor driving device.

【符号の説明】[Explanation of symbols]

1 ブラシレスモータ 2 インバータ回路 3 フィルタ回路 4 コンパレータ 5 発振器 6 シフトレジスタ 7 切換スイッチ 8 変換ロジック回路 9 論理回路 10 論理回路 11 フィルタ 12 差動アンプ 13 マイクロコンピュータ 14 メモリ 15 タイマ 16 信号エッジ検出機能 1 Brushless Motor 2 Inverter Circuit 3 Filter Circuit 4 Comparator 5 Oscillator 6 Shift Register 7 Changeover Switch 8 Conversion Logic Circuit 9 Logic Circuit 10 Logic Circuit 11 Filter 12 Differential Amplifier 13 Microcomputer 14 Memory 15 Timer 16 Signal Edge Detection Function

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】 インバータ回路を他制式信号により制御
してブラシレスモータを起動し、その後駆動巻線に発生
した逆起電圧信号に基づき前記インバータ回路を同期式
信号で制御して前記ブラシレスモータを定常運転させる
ブラシレスモータの駆動装置において、他制式起動後、
前記逆電圧信号から駆動出力信号パターンを切換えるタ
イミングを判断するパターン出力タイミング判別手段
と、前出力切換えタイミングと他制式信号のパターン切
換えタイミングの時間差を計測する時間差計測手段と、
予め定められた基準時間と前計測結果を比較して時間差
が零あるいは零付近のときに他制式駆動から同期式駆動
に切換える手段と、他制式信号のパターン切換えタイミ
ングより逆起電圧信号によって駆動出力パターンを切換
えるタイミングが別の基準時間より遅い時間に発生した
場合は起動失敗と判断して停止処理を行う起動失敗判別
手段とを備えたことを特徴とするブラシレスモータの駆
動装置。
1. A brushless motor is started by controlling an inverter circuit by another control signal, and then the inverter circuit is controlled by a synchronous signal based on a counter electromotive voltage signal generated in a drive winding to keep the brushless motor steady. In the drive device of the brushless motor to be operated, after the other system start,
Pattern output timing determination means for determining the timing of switching the drive output signal pattern from the reverse voltage signal, time difference measuring means for measuring the time difference between the previous output switching timing and the pattern switching timing of the other control signal,
Means to switch from other control drive to synchronous drive when the time difference is zero or near zero by comparing the predetermined reference time with the previous measurement result, and drive output by counter electromotive voltage signal from the pattern switching timing of other control signal A drive device for a brushless motor, comprising: a start failure determination means that determines a start failure and performs a stop process when the timing of switching patterns occurs later than another reference time.
JP04117483A 1992-05-11 1992-05-11 Drive device for brushless motor Expired - Fee Related JP3102520B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP04117483A JP3102520B2 (en) 1992-05-11 1992-05-11 Drive device for brushless motor

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP04117483A JP3102520B2 (en) 1992-05-11 1992-05-11 Drive device for brushless motor

Publications (2)

Publication Number Publication Date
JPH05316788A true JPH05316788A (en) 1993-11-26
JP3102520B2 JP3102520B2 (en) 2000-10-23

Family

ID=14712827

Family Applications (1)

Application Number Title Priority Date Filing Date
JP04117483A Expired - Fee Related JP3102520B2 (en) 1992-05-11 1992-05-11 Drive device for brushless motor

Country Status (1)

Country Link
JP (1) JP3102520B2 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1052765A1 (en) * 1999-05-13 2000-11-15 Motorola, Inc. Method and apparatus for electronically commutating an electric motor

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP1052765A1 (en) * 1999-05-13 2000-11-15 Motorola, Inc. Method and apparatus for electronically commutating an electric motor

Also Published As

Publication number Publication date
JP3102520B2 (en) 2000-10-23

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