CN104506103B - A kind of initial position detection method for permanent magnet synchronous electric motor rotor - Google Patents
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Abstract
本发明提供了一种永磁同步电机转子初始位置检测方法,该方法根据三相绕组高频电流响应幅值大小随转子位置角不同而变化的规律,通过对永磁同步电机定子三相绕组注入对称高频电压信号,检测出高频电流响应信号,利用三相高频电流响应幅值关系,将转子位置锁定在30°的区间范围内,随后通过线性近似方法直接对定子三相绕组电流响应信号的幅值进行数学分析计算得到转子d轴位置信息,再对检测出d轴的两端进行脉冲注入,检测响应电流大小,依据d轴磁路饱和性原理区分N、S极,该方法不仅能够准确、可靠、快速地检测出永磁同步电机转子初始位置信息,并且算法简单、运算量小。
The invention provides a method for detecting the initial position of the rotor of a permanent magnet synchronous motor. According to the law that the amplitude of the high-frequency current response of the three-phase winding varies with the position angle of the rotor, the method injects the three-phase winding of the stator of the permanent magnet synchronous motor Symmetrical high-frequency voltage signal, high-frequency current response signal is detected, using the three-phase high-frequency current response amplitude relationship, the rotor position is locked within the range of 30°, and then the stator three-phase winding current is directly responded to by a linear approximation method The amplitude of the signal is mathematically analyzed and calculated to obtain the position information of the d-axis of the rotor, and then pulse injection is performed at both ends of the detected d-axis to detect the magnitude of the response current, and the N and S poles are distinguished according to the principle of d-axis magnetic circuit saturation. This method not only The invention can accurately, reliably and quickly detect the initial position information of the rotor of the permanent magnet synchronous motor, and has a simple algorithm and a small amount of computation.
Description
技术领域technical field
本发明涉及一种永磁同步电机转子初始位置检测方法,尤其是具有增量式光电编码器,且对电机启动平稳性有要求的永磁同步电机控制领域。The invention relates to a method for detecting the initial position of a rotor of a permanent magnet synchronous motor, in particular to the control field of the permanent magnet synchronous motor which has an incremental photoelectric encoder and requires the stability of motor starting.
背景技术Background technique
目前,国内对永磁同步电机初始位置检测方法的研究很多,但都有其缺点。基于电机反电势的位置检测方法计算方法简单,运行可靠,但其不足是低速运行或零速时电机反电势很小或为零,从而不利于位置检测或根本无法进行电机初始位置的检测。普通高频信号注入法解决了反电势法低速运行或零速时的位置检测问题,其高频响应信号中含有转子的位置信息,但其对高频响应信号的解调算法很复杂,运算量大,理论性强,实际应用往往问题较多。脉冲信号注入法检测转子初始位置方法简单,但是检测时间较长,且在检测过程中转子易受注入脉冲信号的影响而转动。At present, there are many domestic researches on the initial position detection methods of permanent magnet synchronous motors, but all of them have their shortcomings. The position detection method based on the back EMF of the motor is simple in calculation and reliable in operation, but its disadvantage is that the back EMF of the motor is very small or zero at low speed or zero speed, which is not conducive to position detection or can not detect the initial position of the motor at all. The ordinary high-frequency signal injection method solves the position detection problem of the back-emf method at low speed or zero speed. The high-frequency response signal contains the position information of the rotor, but the demodulation algorithm for the high-frequency response signal is very complicated, and the amount of calculation Large and theoretical, but there are often many problems in practical application. The pulse signal injection method is simple to detect the initial position of the rotor, but the detection time is long, and the rotor is easily affected by the injected pulse signal to rotate during the detection process.
发明内容Contents of the invention
本发明需要解决的技术问题是:为了解决永磁同步电机初始位置检测的问题,满足永磁同步电机启动平稳性的要求,本方案提供一种永磁同步电机转子初始位置检测方法。该方法不仅能够准确、可靠、快速地检测出永磁同步电机转子初始位置信息,并且算法简单、运算量小。The technical problem to be solved in the present invention is: in order to solve the problem of detecting the initial position of the permanent magnet synchronous motor and meet the requirements of the starting stability of the permanent magnet synchronous motor, this solution provides a method for detecting the initial position of the permanent magnet synchronous motor rotor. This method can not only accurately, reliably and quickly detect the initial position information of the permanent magnet synchronous motor rotor, but also has a simple algorithm and a small amount of calculation.
本发明解决其技术问题所采用的技术方案是:第一步,给永磁同步电机定子A、B、C三相(以三相为例)绕组注入相应相序对称的高频电压信号。第二步,检测三相绕组的电流响应信号,分别记录A、B、C三相绕组响应电流幅值的大小。第三步,根据三相响应电流幅值太小随转子位置不同而变化的规律可以计算出转子d轴位置。第四步,根据d轴饱和性原理分别对d轴两极进行脉冲注入,根据脉冲响应电流大小的不同,即可区分出N、S极,从而,推算出电机转子的初始位置信息。The technical solution adopted by the present invention to solve the technical problem is as follows: first step, inject high-frequency voltage signals corresponding to the phase sequence symmetry into the three-phase (take three-phase as an example) windings of the stator A, B, and C of the permanent magnet synchronous motor. The second step is to detect the current response signals of the three-phase windings, and record the response current amplitudes of the A, B, and C three-phase windings respectively. In the third step, the d-axis position of the rotor can be calculated according to the rule that the magnitude of the three-phase response current varies with the rotor position. The fourth step is to inject pulses into the two poles of the d-axis according to the principle of d-axis saturation. According to the difference in the magnitude of the pulse response current, the N and S poles can be distinguished, and the initial position information of the motor rotor can be calculated.
本发明的有益效果是:采用高频信号注入法对永磁同步电机转子初始位置进行检测,相比于一般高频信号注入法,该方法通过检测定子三相绕组高频电流响应信号,直接对该信号进行数学分析,经过简单的数学计算和线性近似得到转子d轴位置信息,通过d轴饱和性原理区分N、S极。该方法对高频响应电流信号的处理,省去了坐标变换和复杂的信号处理等过程,检测时间变短,而且该方法计算转子初始位置误差小。The beneficial effect of the present invention is: the initial position of the rotor of the permanent magnet synchronous motor is detected by using the high-frequency signal injection method. The signal is analyzed mathematically, and the d-axis position information of the rotor is obtained through simple mathematical calculation and linear approximation, and the N and S poles are distinguished by the d-axis saturation principle. The processing of the high-frequency response current signal by this method saves the process of coordinate transformation and complex signal processing, shortens the detection time, and has a small error in calculating the initial position of the rotor.
附图说明Description of drawings
图1电机转子处于某一位置(21°电角度)时,定子三相绕组中通入高频电压信号时的高频电流响应。Figure 1. When the motor rotor is at a certain position (21° electrical angle), the high-frequency current response when the high-frequency voltage signal is passed into the three-phase winding of the stator.
图2定子A、B、C三相绕组高频电流响应的幅值随转子位置角(电角度)不同而变化的规律。Fig. 2 The law that the magnitude of the high-frequency current response of the stator A, B, and C three-phase windings varies with the rotor position angle (electrical angle).
图3在计算转子位置角度时采用的近似线性化计算方法所带来的计算误差估计。Fig. 3 is the calculation error estimate brought by the approximate linearization calculation method used in the calculation of the rotor position angle.
具体实施方式Detailed ways
下面结合附图对本发明的具体实施方式进行详细说明。Specific embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.
在永磁同步电机定子三相绕组中注入三相对称的高频电压信号,在三相绕组中将产生相应的电流响应信号,如图1所示。可见,此时电机定子三相绕组A、B、C中产生的电流响应幅值是不同的,对应当前的转子位置,有Ia>Ic>Ib。根据理论分析可知电机三相绕组电感值随转子位置不同会发生变化,而电感值的不同将导致高频电流响应幅值的不同。通过实验和仿真可以得出随着转子位置角(电角度)不同,定子A、B、C三相绕组电流响应幅值的变化规律如图2所示。可以看出在360°(电角度)范周内定子三相绕组电流响应幅值随转子位置角变化是有规律的:(1)在0°-30°范围内Ia>Ic>Ib;(2)在30°-60°范围内Ic>Ia>Ib;(3)在60°-90°范围内Ic>Ib>Ia;(4)在90°-120°范围内Ib>Ic>Ia;(5)在120°-150°范围内Ib>Ia>Ic;(6)在150°-180°范围内Ia>Ib>Ic;(7)180°-360°时与0°-180°情况相同。Three-phase symmetrical high-frequency voltage signals are injected into the three-phase windings of the permanent magnet synchronous motor stator, and corresponding current response signals will be generated in the three-phase windings, as shown in Figure 1. It can be seen that the current response amplitudes generated in the three-phase windings A, B, and C of the motor stator are different at this time, corresponding to the current rotor position, Ia>Ic>Ib. According to the theoretical analysis, it can be known that the inductance value of the three-phase winding of the motor will change with the position of the rotor, and the difference in the inductance value will lead to the difference in the amplitude of the high-frequency current response. Through experiments and simulations, it can be concluded that with different rotor position angles (electrical angles), the changing law of the current response amplitudes of the stator A, B, and C three-phase windings is shown in Figure 2. It can be seen that within the range of 360° (electrical angle), the current response amplitude of the stator three-phase winding changes with the rotor position angle in a regular way: (1) Ia>Ic>Ib within the range of 0°-30°; (2 ) Ic>Ia>Ib in the range of 30°-60°; (3) Ic>Ib>Ia in the range of 60°-90°; (4) Ib>Ic>Ia in the range of 90°-120°; ( 5) Ib>Ia>Ic in the range of 120°-150°; (6) Ia>Ib>Ic in the range of 150°-180°; (7) same as 0°-180° at 180°-360° .
这样,根据Ia、Ib、Ic三相电流响应幅值大小可以将转子位置角确定在180°(电角度)之前或之后的两个30°范围内。其中,180°之前和之后的区别在于判断出的角度对应着N极还是S极,假设对N、S极先不进行区分,认为转子N极处于180°之前的某一个30°内。根据下式(数学线性近似方法)对转子位置角进行计算(1)在0°-30°时θ=(Ic-Ib)/(Ia-Ib)*30°;(2)在30°-60°时θ=(Ic-Ia)/(Ic-Ib)*30°+30°;(3)在60°-90°时θ=(Ib-Ia)/(Ic-Ia)*30°+60°;(4)在90°-120°时θ=(Ib-Ic)/(Ib-Ia)*30°+90°;(5)在120°-150°时θ=(Ia-Ic)/(Ib-Ic)*30°+120°;(6)在150°-180°时θ=(Ia-Ib)/(Ia-Ic)*30°+150°。采用上式进行计算,其误差(将图2中三相电流幅值随转子位置变化的规律视为正弦变化规律)近似为Δθ=θ-(Ic-Ib)/(Ia-Ib)*30°(以0°-30°时为例,其余情况类似,计算误差相同),如图3所示。可以计算出其误差不超过0.56°(电角度),说明这种数学线性近似方法本身不会带来大的计算误差。这个由计算带来的误差,对永磁同步电机的启动控制,其影响可以忽略。In this way, the rotor position angle can be determined within two ranges of 30° before or after 180° (electrical angle) according to the magnitude of the three-phase current responses of Ia, Ib, and Ic. Among them, the difference between before and after 180° is that the judged angle corresponds to the N pole or the S pole. Assuming that the N pole and the S pole are not distinguished first, it is considered that the rotor N pole is within a certain 30° before 180°. Calculate the rotor position angle according to the following formula (mathematical linear approximation method) (1) θ=(Ic-Ib)/(Ia-Ib)*30° at 0°-30°; (2) at 30°-60° θ=(Ic-Ia)/(Ic-Ib)*30°+30° at °; (3) θ=(Ib-Ia)/(Ic-Ia)*30°+60 at 60°-90° °; (4) θ=(Ib-Ic)/(Ib-Ia)*30°+90° at 90°-120°; (5) θ=(Ia-Ic)/ at 120°-150° (Ib-Ic)*30°+120°; (6) θ=(Ia-Ib)/(Ia-Ic)*30°+150° at 150°-180°. Using the above formula for calculation, the error (regarding the change of the three-phase current amplitude with the rotor position in Figure 2 as a sinusoidal change law) is approximately Δθ=θ-(Ic-Ib)/(Ia-Ib)*30° (Taking the case of 0°-30° as an example, other situations are similar, and the calculation error is the same), as shown in Figure 3. It can be calculated that the error does not exceed 0.56° (electrical angle), which shows that this mathematical linear approximation method itself will not bring large calculation errors. The error brought by the calculation has negligible influence on the starting control of the permanent magnet synchronous motor.
以图1为例对该方法进行说明。如图1所示,此时Ia=4.583A;Ib=2.719A;Ic=3.939A,Ia>Ic>Ib,不区分N、S极时,电机转子处于0°-30°范围内,通过θ=(Ic-Ib)/(Ia-Ib)*30°可以计算出θ≈19.64°,而此时电机实际转角为21°,其总误差为1.36°(包含线性近似计算误差和该位置检测方法本身的误差)。The method is described by taking Fig. 1 as an example. As shown in Figure 1, at this time Ia=4.583A; Ib=2.719A; Ic=3.939A, Ia>Ic>Ib, when the N and S poles are not distinguished, the motor rotor is in the range of 0°-30°, through θ =(Ic-Ib)/(Ia-Ib)*30° can calculate θ≈19.64°, and the actual rotation angle of the motor is 21° at this time, and the total error is 1.36° (including the linear approximation calculation error and the position detection method own error).
最后,对转子N、S极进行区分,采用d轴磁路饱和法。分别对检测出的d轴两个方向进行脉冲注入,检测响应电流值的大小。响应电流值较大的一端为N极,响应电流值较小的一端为S极。其原理是,当定子三相绕组合成电流矢量在d轴方向并且指向N极时,电枢反应起增磁作用,d轴主磁路饱和程度加深,导致d轴电感下降,因而脉冲响应电流值变大;当定子三相绕组合成电流矢量在d轴方向并且指向S极时,电枢反应起去磁作用,d轴主磁路饱和程度降低,导致d轴电感增强,因而脉冲响应电流值变小。Finally, the N and S poles of the rotor are distinguished, and the d-axis magnetic circuit saturation method is used. Pulse injection is performed on the two directions of the detected d-axis respectively, and the magnitude of the response current value is detected. The end with a larger response current value is the N pole, and the end with a smaller response current value is the S pole. The principle is that when the current vector of the three-phase winding of the stator is in the direction of the d-axis and points to the N pole, the armature reaction acts as a magnetizer, and the saturation of the main magnetic circuit of the d-axis deepens, resulting in a decrease in the inductance of the d-axis, so the pulse response current value becomes larger; when the three-phase windings of the stator combine to form a current vector in the direction of the d-axis and point to the S pole, the armature reaction acts as a demagnetization effect, and the saturation degree of the main magnetic circuit of the d-axis decreases, resulting in an increase in the inductance of the d-axis, so the pulse response current value changes Small.
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CN110995104B (en) * | 2019-12-04 | 2021-07-23 | 东南大学 | A method for identifying the initial position of a permanent magnet synchronous motor rotor |
CN111800052A (en) * | 2020-06-22 | 2020-10-20 | 珠海格力电器股份有限公司 | Rotor position detection method and device, compressor and air conditioner |
CN113541557B (en) * | 2021-07-09 | 2023-04-21 | 深圳市福瑞电气有限公司 | High-speed air compressor starting method based on frequency converter |
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CN115441793A (en) * | 2022-09-13 | 2022-12-06 | 青岛斑科变频技术有限公司 | Novel permanent magnet synchronous motor rotor position identification method |
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