JP2008220019A - Method for identifying coefficient of fluctuation in torque constant of motor - Google Patents

Method for identifying coefficient of fluctuation in torque constant of motor Download PDF

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Publication number
JP2008220019A
JP2008220019A JP2007052440A JP2007052440A JP2008220019A JP 2008220019 A JP2008220019 A JP 2008220019A JP 2007052440 A JP2007052440 A JP 2007052440A JP 2007052440 A JP2007052440 A JP 2007052440A JP 2008220019 A JP2008220019 A JP 2008220019A
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torque constant
motor
acceleration signal
identifying
signal
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JP2007052440A
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Japanese (ja)
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Hirotake Hirai
洋武 平井
Noriaki Hirose
徳晃 廣瀬
Yukihisa Terachi
恭久 寺地
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Nagoya Institute of Technology NUC
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Nagoya Institute of Technology NUC
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Priority to JP2007052440A priority Critical patent/JP2008220019A/en
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Abstract

<P>PROBLEM TO BE SOLVED: To provide an identification method for accurately identifying the coefficient of fluctuations in torque constant using a clear constitution, when the torque constant of a motor fluctuates due to environmental variations, such as variations in the temperature. <P>SOLUTION: The coefficient of fluctuations in torque constant is identified, by computing the ratio of an acceleration signal computed using a motor angle signal to the maximum value or the minimum value of estimated acceleration derived from a current command or a current of the motor. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

本発明はモータのトルク定数変動率の同定方法に関する。   The present invention relates to a method for identifying a torque constant fluctuation rate of a motor.

従来、モータを用いたサーボ制御装置では、制御対象が制御仕様を満たすために、制御対象の各種パラメータを同定し制御系を構築している。しかし、モータのトルク定数は、温度等の環境変化により変動するものであり、このトルク定数の変動は、制御性能を著しく劣化させる要因となる。この問題に対して、特許文献1では、逐次最小2乗法を用いることで制御対象の各種パラメータを同定しているが、計算負荷が高く実用的でない場合がある。
特開2006−217729
Conventionally, in a servo control device using a motor, a control system is constructed by identifying various parameters of the control target so that the control target satisfies the control specifications. However, the torque constant of the motor fluctuates due to environmental changes such as temperature, and the fluctuation of the torque constant causes a significant deterioration in control performance. With respect to this problem, in Patent Document 1, various parameters to be controlled are identified by using a sequential least square method, but there are cases where the calculation load is high and not practical.
JP 2006-217729 A

モータ制御において、温度等の環境変化に伴うトルク定数変動は、制御性能を著しく劣化させる場合があり、精度よく同定する技術が必須である。   In motor control, torque constant fluctuations associated with environmental changes such as temperature may significantly degrade the control performance, and a technique for accurately identifying is essential.

しかし、上記従来技術では、同定方式の実装において計算負荷が高く、実用的でない場合がある。本発明は、上記従来の実情に鑑みてなされたものであって、明快な構成で精度良くトルク定数の変動率を同定する同定方法を提供することを目的とする。     However, in the above prior art, there is a case where the calculation load is high in the implementation of the identification method and is not practical. The present invention has been made in view of the above-described conventional situation, and an object of the present invention is to provide an identification method for accurately identifying the variation rate of the torque constant with a clear configuration.

第1発明のトルク定数変動率の同定方法は、モータの角度信号を用いて算出した加速度信号とモータの電流指令もしくは電流から導出される推定加速度の最大値もしくは最小値の比を計算することでトルク定数変動率を同定することを特徴とする。   The torque constant variation rate identifying method according to the first aspect of the present invention calculates the ratio between the acceleration signal calculated using the motor angle signal and the maximum value or minimum value of the estimated acceleration derived from the motor current command or current. The torque constant fluctuation rate is identified.

第2発明のトルク定数変動率の同定方法は、前記加速度信号を算出する角度信号から加速度信号までの伝達関数が非プロパーである場合、前記伝達関数がプロパーとなる次数のローパスフィルタを挿入することで、角度信号から加速度信号を計算可能とし、これに対応して電流指令もしくは電流信号から導出される推定加速度に、前記ローパスフィルタを通過させ、これら信号の最大値もしくは最小値の比を計算することでトルク定数変動率を同定することを特徴とする。   In the torque constant variation rate identifying method according to the second aspect of the invention, when the transfer function from the angle signal for calculating the acceleration signal to the acceleration signal is non-proper, a low-pass filter of the order in which the transfer function is proper is inserted. Thus, the acceleration signal can be calculated from the angle signal, and the estimated acceleration derived from the current command or current signal is passed through the low-pass filter correspondingly, and the ratio of the maximum value or the minimum value of these signals is calculated. Thus, the torque constant fluctuation rate is identified.

以下に本発明の具体的な実施例を説明する。   Specific examples of the present invention will be described below.

電流i(s)からモータの角度信号y(s)までの伝達関数P(s)が数式1であるとする。   It is assumed that the transfer function P (s) from the current i (s) to the motor angle signal y (s) is expressed by Equation 1.


ここで、ktはトルク定数、Jは慣性モーメント、Dは粘性摩擦係数、ζkは減衰係数、ωkは共振角周波数、Kkはゲインである。
角度信号から電流までの伝達関数P(s)-1は、相対次数が2次の非プロパーな伝達関数であるため、ローパスフィルタQ(s)を数式2とする。
Here, k t is a torque constant, J is a moment of inertia, D is a viscous friction coefficient, ζ k is a damping coefficient, ω k is a resonance angular frequency, and K k is a gain.
Since the transfer function P (s) −1 from the angle signal to the current is a non-proper transfer function having a relative order of second order, the low-pass filter Q (s) is expressed by Equation 2.


ここで、ωlはQ(s)のカットオフ角周波数である。
以上より、トルク定数変動率αの同定機構の概略図は図1で示される。ここで、α^:推定トルク定数変動率、αa:推定加速度信号、αb:加速度信号である。
また、トルク定数が3%減少した場合(α=0.97)、位置決め時におけるαa、αbのシミュレーション波形を図2に示す。なお、Q(s)、P(s)-1は、実装面を考慮して双一次変換によりz変換した。
図2より、青線であるαaと赤線であるαbは、波高値に違いが生じており、この波高値の比がトルク定数の変動率と見なすことが出来る。数式3にαa、αbの波高値の比を示す。
Here, ω l is the cutoff angular frequency of Q (s).
From the above, the schematic diagram of the identification mechanism of the torque constant fluctuation rate α is shown in FIG. Here, α ^ is an estimated torque constant fluctuation rate, α a is an estimated acceleration signal, and α b is an acceleration signal.
When the torque constant is reduced by 3% (α = 0.97), the simulation waveforms of α a and α b during positioning are shown in FIG. Note that Q (s) and P (s) −1 were z-transformed by bilinear transformation in consideration of the mounting surface.
From FIG. 2, there is a difference in the crest value between α a which is a blue line and α b which is a red line, and the ratio of the crest values can be regarded as the fluctuation rate of the torque constant. Formula 3 shows the ratio of the crest values of α a and α b .

ここで、αamax、αbmaxは、αa、αbの最大値である。
数式3より、本発明による手法は、シミュレーションで仮定したトルク定数の変動率を精度良く同定しており、その有効性が示される。
Here, α amax and α bmax are the maximum values of α a and α b .
From Equation 3, the method according to the present invention accurately identifies the fluctuation rate of the torque constant assumed in the simulation, and the effectiveness thereof is shown.

以上において、本発明を実施例に即して説明したが、本発明は上記実施例に制限されるものではなく、その趣旨を逸脱しない範囲で適宜変更して適用できることはいうまでもない。   While the present invention has been described with reference to the embodiments, it is needless to say that the present invention is not limited to the above-described embodiments and can be appropriately modified and applied without departing from the spirit thereof.

本発明であるモータのトルク定数変動率の同定方法は、種々のモータ制御装置に利用可能である。   The motor torque constant variation rate identifying method according to the present invention can be used for various motor control devices.

モータのトルク定数変動率の同定方法のブロック線図である。It is a block diagram of the identification method of the torque constant variation rate of a motor. トルク定数が変動した場合の図1中のαa、αbの波形である。It is the waveform of α a and α b in FIG. 1 when the torque constant fluctuates.

Claims (2)

モータのトルク定数変動率を、モータ角度信号を用いて算出した加速度信号と電流指令もしくは電流信号から導出した推定加速度信号の最大値、または最小値の比から同定することを特徴とするトルク定数変動率の同定方式。     Torque constant fluctuation characterized by identifying the torque constant fluctuation rate of the motor from the ratio of the acceleration signal calculated using the motor angle signal and the maximum value or minimum value of the estimated acceleration signal derived from the current command or current signal Rate identification method. 前記加速度信号を算出するモータ角度信号から加速度信号までの伝達関数が非プロパーである場合、前記伝達関数がプロパーとなるローパスフィルタを前記伝達関数に加えて導出した加速度信号と前記推定加速度信号に前記ローパスフィルタを通過させた信号の比からトルク定数変動率を同定することを特徴とするトルク定数変動率の同定方式。   When the transfer function from the motor angle signal to the acceleration signal for calculating the acceleration signal is non-proper, the low-pass filter in which the transfer function is proper is added to the transfer function and the estimated acceleration signal A torque constant fluctuation rate identifying method characterized by identifying a torque constant fluctuation rate from a ratio of signals passed through a low-pass filter.
JP2007052440A 2007-03-02 2007-03-02 Method for identifying coefficient of fluctuation in torque constant of motor Pending JP2008220019A (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH07284286A (en) * 1994-04-07 1995-10-27 Fanuc Ltd Torque ripple compensation system of servo motor
JPH0954601A (en) * 1995-08-14 1997-02-25 Mitsubishi Heavy Ind Ltd Parameter identifying device
JPH1115532A (en) * 1997-06-25 1999-01-22 Nec Corp Servo motor controller
JP2005301508A (en) * 2004-04-08 2005-10-27 Fanuc Ltd Control unit

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH07284286A (en) * 1994-04-07 1995-10-27 Fanuc Ltd Torque ripple compensation system of servo motor
JPH0954601A (en) * 1995-08-14 1997-02-25 Mitsubishi Heavy Ind Ltd Parameter identifying device
JPH1115532A (en) * 1997-06-25 1999-01-22 Nec Corp Servo motor controller
JP2005301508A (en) * 2004-04-08 2005-10-27 Fanuc Ltd Control unit

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