CN110120763A - A kind of permanent magnet synchronous motor is without weight coefficient prediction method for controlling torque - Google Patents
A kind of permanent magnet synchronous motor is without weight coefficient prediction method for controlling torque Download PDFInfo
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- 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
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
- H02P21/20—Estimation of torque
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- 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
- H02P25/00—Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details
- H02P25/02—Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details characterised by the kind of motor
- H02P25/022—Synchronous motors
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- 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
- H02P6/00—Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
- H02P6/34—Modelling or simulation for control purposes
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- 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
- H02P2205/00—Indexing scheme relating to controlling arrangements characterised by the control loops
- H02P2205/05—Torque loop, i.e. comparison of the motor torque with a torque reference
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Abstract
本发明提出一种永磁同步电机无权重系数预测转矩控制方法,其步骤为:采样k时刻的永磁同步电机的三相电流、角速度和转子位置角,并通过坐标变换得到输出电流和等效反电动势;根据电压源逆变器的开关状态计算其输出的电压矢量和定子电压,并根据定子电压预测k+1时刻的输出电流、定子磁链以及定子磁链幅值和转矩;再利用定子磁链幅值和转矩计算转矩目标函数和定子磁链目标函数,进而得到新的目标函数;最后,对目标函数的值进行比较,将最小的目标函数对应的电压矢量用于控制永磁同步电机。本发明通过对转矩和磁链目标函数进行二范数标准化,实现了永磁同步电机的无权重系数预测转矩控制,能够简化系统复杂度,降低转矩纹波,提高转矩控制精度。
The present invention proposes a method for predicting the torque of a permanent magnet synchronous motor without weight coefficients, the steps of which are: sampling the three-phase current, angular velocity and rotor position angle of the permanent magnet synchronous motor at time k, and obtaining the output current and etc. Calculate the output voltage vector and stator voltage according to the switching state of the voltage source inverter, and predict the output current, stator flux linkage, and stator flux amplitude and torque at time k+1 according to the stator voltage; then The torque objective function and the stator flux objective function are calculated by using the stator flux amplitude and torque, and then a new objective function is obtained; finally, the value of the objective function is compared, and the voltage vector corresponding to the minimum objective function is used for control permanent magnet synchronous motor. The present invention realizes the non-weight coefficient predictive torque control of the permanent magnet synchronous motor by standardizing the torque and flux linkage objective functions with two norms, can simplify the system complexity, reduce the torque ripple, and improve the torque control precision.
Description
技术领域technical field
本发明涉及电力电子领域,特别是指一种永磁同步电机无权重系数预测转矩控制方法。The invention relates to the field of power electronics, in particular to a non-weight coefficient predictive torque control method for a permanent magnet synchronous motor.
背景技术Background technique
近年来,为了应对能源危机,新能源电动汽车技术得到蓬勃发展。与异步电机相比,永磁同步电机(Permanent Magnet Synchronous Motor,PMSM)因具有效率高、功率密度大等诸多优点而在电动汽车领域得到广泛应用。为了提高永磁同步电机的转矩动态控制特性,模型预测控制被广泛应用于永磁同步电机的驱动控制中。然而,常规的永磁同步电机预测转矩控制方法存在需要设计权重系数的缺点。虽然已有文献研究了永磁同步电机无权重系数预测转矩控制方法,但到目前为止,仍没有较好的权重系数理论设计方法。In recent years, in order to cope with the energy crisis, new energy electric vehicle technology has been vigorously developed. Compared with asynchronous motors, permanent magnet synchronous motors (Permanent Magnet Synchronous Motor, PMSM) have been widely used in the field of electric vehicles because of their high efficiency, high power density and many other advantages. In order to improve the torque dynamic control characteristics of permanent magnet synchronous motors, model predictive control is widely used in the drive control of permanent magnet synchronous motors. However, the conventional predictive torque control method of permanent magnet synchronous motor has the disadvantage of needing to design weight coefficients. Although the literature has studied the non-weight coefficient predictive torque control method of permanent magnet synchronous motor, but so far, there is still no good weight coefficient theoretical design method.
目前已存在永磁同步电机转矩预测的控制方法,比如申请号为201611046203.X,发明名称为一种快速无权重系数模型预测控制计算方法及其系统,提出了一种快速无权重系数模型预测控制方法,通过以目标电压矢量作为目标函数,避免了使用权重系数,从而可实现多电平变换器的快速无权重系数控制。然而,该方法不能用于实现永磁同步电机的预测转矩控制。申请号为201810724498.4,发明名称为直线感应电机无权重系数模型预测推力控制方法,提出了一种以推力和共轭推力为目标函数的直线感应电机无权重系数模型预测推力控制方法,通过改写目标函数,将不同量纲的推力和磁链转化为同一量纲,从而避免了使用权重系数。然而,该发明专利是针对直线感应电机的,无法直接应用于永磁同步电机。申请号为201811426304.9,发明名称为基于离散占空比的永磁电机系统无权重预测转矩控制方法,提出了一种永磁同步电机无权重预测转矩控制方法,根据磁链和转矩指令计算参考电压指令,并用参考电压来建立目标函数,从而消除权重系数。该方法虽然可以实现永磁电机系统无权重预测转矩控制,但需要进行复杂的计算以得到目标电压矢量。文献[徐艳平,李园园,周钦.永磁同步电机双模型预测转矩控制策略[J].电力电子技术,2018,52(06):37-39]提出了一种永磁同步电机双模型预测转矩控制,有效地减小转矩脉动,且减小了算法的计算量。然而该方法中需要设计权重因子,而权重因子的设计较困难。At present, there is a control method for torque prediction of permanent magnet synchronous motors. For example, the application number is 201611046203.X, and the name of the invention is a fast weightless coefficient model predictive control calculation method and its system. A fast weightless coefficient model prediction method is proposed. In the control method, by using the target voltage vector as the objective function, the use of weight coefficients is avoided, so that the fast non-weight coefficient control of the multilevel converter can be realized. However, this method cannot be used to realize predictive torque control of permanent magnet synchronous motors. The application number is 201810724498.4, and the name of the invention is a linear induction motor thrust control method without weight coefficient model prediction. A linear induction motor thrust control method without weight coefficient model prediction with thrust and conjugate thrust as the objective function is proposed. By rewriting the objective function , transforming the thrust and flux linkages of different dimensions into the same dimension, thus avoiding the use of weight coefficients. However, this invention patent is for linear induction motors and cannot be directly applied to permanent magnet synchronous motors. The application number is 201811426304.9, and the name of the invention is a weightless predictive torque control method for permanent magnet motor systems based on discrete duty cycles. A weightless predictive torque control method for permanent magnet synchronous motors is proposed, which is calculated based on flux linkage and torque commands. Reference voltage command, and use the reference voltage to establish the objective function, thereby eliminating the weight coefficient. Although this method can realize the weightless predictive torque control of the permanent magnet motor system, it needs complex calculations to obtain the target voltage vector. Literature [Xu Yanping, Li Yuanyuan, Zhou Qin. Dual-model predictive torque control strategy for permanent magnet synchronous motors [J]. Power Electronics Technology, 2018, 52(06): 37-39] proposed a dual-model predictive method for permanent magnet synchronous motors Torque control can effectively reduce the torque ripple and reduce the calculation amount of the algorithm. However, in this method, weight factors need to be designed, and the design of weight factors is difficult.
发明内容Contents of the invention
针对现有的永磁同步电机转矩预测的控制方法存在的计算量复杂的技术问题,本发明提出了一种永磁同步电机无权重系数预测转矩控制方法,建立了转矩和磁链两个目标函数,并通过二范数标准化得到了一个新的无需权重系数的目标函数,从而最终实现了永磁同步电机的无权重系数预测转矩控制,简化了算法复杂度,并降低了转矩纹波。Aiming at the technical problem of complex calculation in the existing control method for torque prediction of permanent magnet synchronous motors, the present invention proposes a non-weight coefficient predictive torque control method for permanent magnet synchronous motors, and establishes two parameters of torque and flux linkage. objective function, and a new objective function without weight coefficient is obtained through two-norm standardization, so that the predictive torque control without weight coefficient of permanent magnet synchronous motor is finally realized, which simplifies the algorithm complexity and reduces the torque ripple.
本发明的技术方案是这样实现的:Technical scheme of the present invention is realized like this:
一种永磁同步电机无权重系数预测转矩控制方法,其步骤如下:A non-weight coefficient predictive torque control method for a permanent magnet synchronous motor, the steps of which are as follows:
步骤一、采样k时刻的永磁同步电机的三相电流ia、ib、ic和永磁同步电机的角速度ωr、转子位置角θr,并将三相电流ia、ib、ic通过坐标变换得到静止αβ坐标系下的输出电流iα和iβ;Step 1. Sampling the three-phase currents ia, ib, ic of the permanent magnet synchronous motor at time k, the angular velocity ω r of the permanent magnet synchronous motor, and the rotor position angle θ r , and calculating the three-phase currents i a , i b , i c obtains the output current i α and i β in the static αβ coordinate system through coordinate transformation;
步骤二、利用步骤一中的转子位置角θr对输出电流iα、iβ进行坐标变换分别求得d轴电流id和q轴电流iq,再将步骤一中的角速度ωr、转子位置角θr和d轴电流id代入永磁同步电机的等效反电动势数学模型中,计算得到永磁同步电机的等效反电动势eα和eβ;Step 2. Use the rotor position angle θ r in step 1 to perform coordinate transformation on the output currents i α and i β to obtain d-axis current i d and q-axis current i q respectively, and then convert the angular velocity ω r and rotor The position angle θ r and the d-axis current i d are substituted into the equivalent back electromotive force mathematical model of the permanent magnet synchronous motor, and the equivalent back electromotive force e α and e β of the permanent magnet synchronous motor are calculated;
步骤三、根据电压源逆变器的开关状态Sa、Sb、Sc,得到电压源逆变器输出的电压矢量Vi(SaSbSc),其中,i=0,1,2,3,4,5,6,7,开关状态Sa、Sb、Sc的值等于0或1;Step 3. Obtain the voltage vector V i (S a S b S c ) output by the voltage source inverter according to the switching states S a , S b , and S c of the voltage source inverter, where i=0,1, 2, 3, 4, 5, 6, 7, the values of switch states S a , S b , and S c are equal to 0 or 1;
步骤四、根据电压源逆变器的直流电压Udc,对步骤三中的电压矢量Vi(SaSbSc)对应的开关状态Sa、Sb、Sc进行坐标变换得到逆变器的输出电压,也即永磁同步电机的定子电压uαi和uβi;Step 4. According to the DC voltage U dc of the voltage source inverter, perform coordinate transformation on the switching states S a , S b , and S c corresponding to the voltage vector V i (S a S b S c ) in step 3 to obtain the inverter The output voltage of the device, that is, the stator voltage u αi and u βi of the permanent magnet synchronous motor;
步骤五、将步骤一得到的输出电流iα、iβ,步骤二得到的等效反电动势eα、eβ和步骤四得到的定子电压uαi、uβi代入永磁同步电机的离散电流预测模型预测k+1时刻的输出电流iαi(k+1)和iβi(k+1);Step 5. Substitute the output current i α , i β obtained in step 1, the equivalent back electromotive force e α , e β obtained in step 2, and the stator voltage u αi , u βi obtained in step 4 into the discrete current prediction of the permanent magnet synchronous motor The model predicts the output current i αi (k+1) and i βi (k+1) at time k+1;
步骤六、将步骤五得到的输出电流iαi(k+1)、iβi(k+1)iβ和步骤二得到的等效反电动势eα、eβ代入永磁同步电机的定子磁链预测模型预测k+1时刻的定子磁链ψαi(k+1)、ψβi(k+1)并计算定子磁链幅值ψsi(k+1);Step 6. Substitute the output current i αi (k+1), i βi (k+1)i β obtained in step 5 and the equivalent counter electromotive force e α and e β obtained in step 2 into the stator flux linkage of the permanent magnet synchronous motor The prediction model predicts the stator flux linkage ψ αi (k+1) and ψ βi (k+1) at time k+1 and calculates the stator flux amplitude ψ si (k+1);
步骤七、将步骤五得到的输出电流iαi(k+1)、iβi(k+1)和步骤六得到的定子磁链ψαi(k+1)、ψβi(k+1)代入永磁同步电机的转矩预测模型,计算得到永磁同步电机的转矩Tei(k+1);Step 7. Substitute the output current i αi (k+1), i βi (k+1) obtained in step 5 and the stator flux linkage ψ αi (k+1) and ψ βi (k+1) obtained in step 6 into the permanent The torque prediction model of the magnetic synchronous motor is calculated to obtain the torque T ei (k+1) of the permanent magnet synchronous motor;
步骤八、根据负载要求设定参考电机转矩并根据参考电机转矩计算参考定子磁链 Step 8. Set the reference motor torque according to the load requirement and according to the reference motor torque Calculate reference stator flux linkage
步骤九、计算参考电机转矩减去步骤七得到的转矩Tei(k+1)的绝对值得到转矩目标函数gTi,计算参考定子磁链减去步骤六得到的定子磁链幅值ψsi(k+1)的绝对值得到定子磁链目标函数gψi;Step 9. Calculate the reference motor torque Subtract the absolute value of the torque T ei (k+1) obtained in step 7 to obtain the torque target function g Ti , and calculate the reference stator flux linkage Subtract the absolute value of the stator flux amplitude ψ si (k+1) obtained in step 6 to obtain the stator flux objective function g ψi ;
步骤十、分别对步骤九得到的转矩目标函数gTi和定子磁链目标函数gψi进行二范数标准化,并通过融合的方式计算得到新的目标函数Gi;Step 10: Carry out two-norm standardization on the torque objective function g Ti and the stator flux linkage objective function g ψi obtained in step 9 respectively, and calculate a new objective function G i by means of fusion;
步骤十一、比较目标函数Gi的值,将最小的目标函数Gi对应的电压矢量Vi(SaSbSc)作为最优矢量,并将最优矢量用于控制永磁同步电机。Step 11: Compare the value of the objective function G i , use the voltage vector V i (S a S b S c ) corresponding to the smallest objective function G i as the optimal vector, and use the optimal vector to control the permanent magnet synchronous motor .
优选地,所述步骤一中的三相电流ia、ib、ic通过坐标变换得到静止αβ坐标系下的输出电流iα和iβ为: Preferably, the three-phase currents i a , i b , and i c in the step 1 are transformed through coordinate transformation to obtain the output currents i α and i β in the static αβ coordinate system as:
优选地,所述步骤二中的d轴和q轴的电流id和电流iq的获得方法为:Preferably, the method for obtaining the current id and current iq of the d -axis and q-axis in the step 2 is:
其中,θr为永磁同步电机的转子位置角; Among them, θr is the rotor position angle of the permanent magnet synchronous motor;
所述永磁同步电机的等效反电动势数学模型为:The equivalent counter electromotive force mathematical model of the permanent magnet synchronous motor is:
其中,ωr为永磁同步电机的角速度,ψf为永磁同步电机的永磁体磁链,Ld和Lq均为永磁同步电机的定子电感。 Among them, ω r is the angular velocity of the permanent magnet synchronous motor, ψ f is the permanent magnet flux linkage of the permanent magnet synchronous motor, L d and L q are the stator inductance of the permanent magnet synchronous motor.
优选地,所述步骤三中的电压矢量Vi(SaSbSc)的获得方法为:Preferably, the method for obtaining the voltage vector V i (S a S b S c ) in the step 3 is:
Sa=1表示双向交直流变换器a相桥臂上管导通,下管关断;S a =1 means that the upper switch of the a-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sa=0表示双向交直流变换器a相桥臂上管关断,下管导通;S a =0 means that the upper switch of the a-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
Sb=1表示双向交直流变换器b相桥臂上管导通,下管关断;S b = 1 means that the upper switch of the b-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sb=0表示双向交直流变换器b相桥臂上管关断,下管导通;S b = 0 means that the upper switch of the b-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
Sc=1表示双向交直流变换器c相桥臂上管导通,下管关断;S c =1 means that the upper switch of the c-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sc=0表示双向交直流变换器c相桥臂上管关断,下管导通;S c =0 means that the upper switch of the c-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
若Sa=0,Sb=0,Sc=0,电压矢量记为V0(000);If S a =0, S b =0, S c =0, the voltage vector is recorded as V 0 (000);
若Sa=1,Sb=0,Sc=0,电压矢量记为V1(100);If S a =1, S b =0, S c =0, the voltage vector is denoted as V 1 (100);
若Sa=1,Sb=1,Sc=0,电压矢量记为V2(110);If S a =1, S b =1, S c =0, the voltage vector is recorded as V 2 (110);
若Sa=0,Sb=1,Sc=0,电压矢量记为V3(010);If S a =0, S b =1, S c =0, the voltage vector is recorded as V 3 (010);
若Sa=0,Sb=1,Sc=1,电压矢量记为V4(011);If S a =0, S b =1, S c =1, the voltage vector is recorded as V 4 (011);
若Sa=0,Sb=0,Sc=1,电压矢量记为V5(001);If S a =0, S b =0, S c =1, the voltage vector is recorded as V 5 (001);
若Sa=1,Sb=0,Sc=1,电压矢量记为V6(101);If S a =1, S b =0, S c =1, the voltage vector is recorded as V 6 (101);
若Sa=1,Sb=1,Sc=1,电压矢量记为V7(111)。If S a =1, S b =1, S c =1, the voltage vector is denoted as V 7 (111).
优选地,所述步骤四中的永磁同步电机的定子电压uαi和uβi的获得方法为:Preferably, the method for obtaining the stator voltages u αi and u βi of the permanent magnet synchronous motor in the step 4 is:
其中,i=0,1,2,3,4,5,6,7,Sai为电压矢量Vi(SaSbSc)对应的开关状态Sa,Sbi为电压矢量Vi(SaSbSc)对应的开关状态Sb,Sci为电压矢量Vi(SaSbSc)对应的开关状态Sc。 Where, i=0,1,2,3,4,5,6,7, S ai is the switch state S a corresponding to the voltage vector V i (S a S b S c ), and S bi is the voltage vector V i ( The switch state S b corresponding to S a S b S c ), and S ci is the switch state S c corresponding to the voltage vector V i (S a S b S c ).
优选地,所述步骤五中永磁同步电机的离散电流预测模型为:Preferably, the discrete current prediction model of the permanent magnet synchronous motor in the step five is:
其中,eα和eβ均为永磁同步电机的等效反电动势,Ts为采样周期,Rs为永磁同步电机的定子电阻,Lq为永磁同步电机的定子电感; Among them, e α and e β are the equivalent back electromotive force of the permanent magnet synchronous motor, T s is the sampling period, R s is the stator resistance of the permanent magnet synchronous motor, and L q is the stator inductance of the permanent magnet synchronous motor;
所述步骤六中的永磁同步电机的定子磁链预测模型为:The stator flux linkage prediction model of the permanent magnet synchronous motor in the described step 6 is:
其中,ωr为永磁同步电机的角速度; Among them, ω r is the angular velocity of the permanent magnet synchronous motor;
所述步骤六中的定子磁链幅值ψsi(k+1)的获得方法为: The method for obtaining the stator flux linkage amplitude ψ si (k+1) in the step six is:
所述步骤七中的永磁同步电机的转矩预测模型为:The torque prediction model of the permanent magnet synchronous motor in the described step 7 is:
其中,np为永磁同步电机的极对数。 Among them, n p is the number of pole pairs of the permanent magnet synchronous motor.
优选地,所述步骤八中利用参考电机转矩计算参考磁链的方法为:Preferably, the reference motor torque is utilized in said step eight Calculating Reference Flux Linkage The method is:
其中,ψf为永磁同步电机的永磁体磁链。 Among them, ψ f is the permanent magnet flux linkage of the permanent magnet synchronous motor.
优选地,所述步骤九中的转矩目标函数gTi和定子磁链目标函数gψi的获得方法为:Preferably, the method for obtaining the torque target function gTi and the stator flux linkage target function gψi in the step 9 is:
优选地,所述步骤十中的目标函数Gi的获得方法为:Preferably, the method for obtaining the objective function G i in the step ten is:
本技术方案能产生的有益效果:通过采用转矩和磁链两个目标函数,无需权重系数,即可实现永磁同步电机的转矩和磁链的控制,不仅降低了系统设计、调试的复杂度,而且有助于降低转矩纹波,提高转矩控制精度。Beneficial effects produced by this technical solution: By adopting the two objective functions of torque and flux linkage, the torque and flux linkage control of the permanent magnet synchronous motor can be realized without weight coefficients, which not only reduces the complexity of system design and debugging Degree, and help to reduce torque ripple, improve torque control accuracy.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. Those skilled in the art can also obtain other drawings based on these drawings without creative work.
图1为本发明的整体结构框图。Fig. 1 is the overall structural block diagram of the present invention.
图2为文献[徐艳平,李园园,周钦.永磁同步电机双模型预测转矩控制策略[J].电力电子技术,2018,52(06):37-39]的仿真结果图;(a)为转矩误差和转矩的仿真结果图,(b)为磁链误差和磁链的仿真结果图。Figure 2 is the simulation result of the literature [Xu Yanping, Li Yuanyuan, Zhou Qin. Dual-model predictive torque control strategy for permanent magnet synchronous motors [J]. Power Electronics Technology, 2018,52(06):37-39]; (a) is the simulation result diagram of torque error and torque, (b) is the simulation result diagram of flux linkage error and flux linkage.
图3为本发明的仿真结果图;(a)为转矩误差和转矩的仿真结果图,(b)为磁链误差和磁链的仿真结果图。Fig. 3 is the simulation result figure of the present invention; (a) is the simulation result figure of torque error and torque, (b) is the simulation result figure of flux linkage error and flux linkage.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有付出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
如图1所示,一种永磁同步电机无权重系数预测转矩控制方法,其步骤如下:As shown in Figure 1, a non-weight coefficient predictive torque control method for permanent magnet synchronous motors, the steps are as follows:
步骤一、采样k时刻的永磁同步电机的三相电流ia、ib、ic和永磁同步电机的角速度ωr、转子位置角θr,并利用公式(1)将三相电流ia、ib、ic通过坐标变换得到静止αβ坐标系下的输出电流iα和iβ:Step 1. Sampling the three-phase currents i a , i b , i c of the permanent magnet synchronous motor at time k, the angular velocity ω r of the permanent magnet synchronous motor, and the rotor position angle θ r , and using the formula (1) to convert the three-phase current i a , i b , i c obtain the output current i α and i β in the static αβ coordinate system through coordinate transformation:
步骤二、根据公式(2)利用步骤一中的转子位置角θr对输出电流iα、iβ进行坐标变换分别求得d轴电流id和q轴电流iq:Step 2. Use the rotor position angle θ r in step 1 to perform coordinate transformation on the output currents i α and i β according to the formula (2) to obtain the d-axis current i d and the q-axis current i q respectively:
再将角速度ωr、转子位置角θr和d轴电流id代入永磁同步电机的等效反电动势数学模型中,计算得到永磁同步电机的等效反电动势eα和eβ,如公式(3)所示:Then substituting angular velocity ω r , rotor position angle θ r and d-axis current i d into the equivalent back electromotive force mathematical model of the permanent magnet synchronous motor, the equivalent back electromotive force e α and e β of the permanent magnet synchronous motor are calculated, as shown in the formula (3) as shown:
其中,ψf为永磁同步电机的永磁体磁链,Ld和Lq均为永磁同步电机的定子电感。Among them, ψ f is the permanent magnet flux linkage of the permanent magnet synchronous motor, and L d and L q are the stator inductance of the permanent magnet synchronous motor.
步骤三、根据电压源逆变器的开关状态Sa、Sb、Sc,得到电压源逆变器输出的电压矢量Vi(SaSbSc),其中,i=0,1,2,3,4,5,6,7,开关状态Sa、Sb、Sc的值等于0或1:Step 3. Obtain the voltage vector V i (S a S b S c ) output by the voltage source inverter according to the switching states S a , S b , and S c of the voltage source inverter, where i=0,1, 2, 3, 4, 5, 6, 7, the value of switch state S a , S b , S c is equal to 0 or 1:
Sa=1表示双向交直流变换器a相桥臂上管导通,下管关断;S a =1 means that the upper switch of the a-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sa=0表示双向交直流变换器a相桥臂上管关断,下管导通;S a =0 means that the upper switch of the a-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
Sb=1表示双向交直流变换器b相桥臂上管导通,下管关断;S b = 1 means that the upper switch of the b-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sb=0表示双向交直流变换器b相桥臂上管关断,下管导通;S b = 0 means that the upper switch of the b-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
Sc=1表示双向交直流变换器c相桥臂上管导通,下管关断;S c =1 means that the upper switch of the c-phase bridge arm of the bidirectional AC-DC converter is turned on, and the lower switch is turned off;
Sc=0表示双向交直流变换器c相桥臂上管关断,下管导通;S c =0 means that the upper switch of the c-phase bridge arm of the bidirectional AC-DC converter is turned off, and the lower switch is turned on;
若Sa=0,Sb=0,Sc=0,电压矢量记为V0(000);If S a =0, S b =0, S c =0, the voltage vector is recorded as V 0 (000);
若Sa=1,Sb=0,Sc=0,电压矢量记为V1(100);If S a =1, S b =0, S c =0, the voltage vector is denoted as V 1 (100);
若Sa=1,Sb=1,Sc=0,电压矢量记为V2(110);If S a =1, S b =1, S c =0, the voltage vector is recorded as V 2 (110);
若Sa=0,Sb=1,Sc=0,电压矢量记为V3(010);If S a =0, S b =1, S c =0, the voltage vector is recorded as V 3 (010);
若Sa=0,Sb=1,Sc=1,电压矢量记为V4(011);If S a =0, S b =1, S c =1, the voltage vector is recorded as V 4 (011);
若Sa=0,Sb=0,Sc=1,电压矢量记为V5(001);If S a =0, S b =0, S c =1, the voltage vector is recorded as V 5 (001);
若Sa=1,Sb=0,Sc=1,电压矢量记为V6(101);If S a =1, S b =0, S c =1, the voltage vector is recorded as V 6 (101);
若Sa=1,Sb=1,Sc=1,电压矢量记为V7(111)。If S a =1, S b =1, S c =1, the voltage vector is denoted as V 7 (111).
因此,电压源逆变器输出的八个电压矢量分别记为V0(000)、V1(100)、V2(110)、V3(010)、V4(011)、V5(001)、V6(101)和V7(111)。Therefore, the eight voltage vectors output by the voltage source inverter are recorded as V 0 (000), V 1 (100), V 2 (110), V 3 (010), V 4 (011), V 5 (001 ), V 6 (101) and V 7 (111).
步骤四、根据电压源逆变器的直流电压Udc,对步骤三中的电压矢量Vi(SaSbSc)对应的开关状态Sa、Sb、Sc进行坐标变换得到逆变器的输出电压,也即永磁同步电机的定子电压uαi和uβi,如公式(4)所示:Step 4. According to the DC voltage U dc of the voltage source inverter, perform coordinate transformation on the switching states S a , S b , and S c corresponding to the voltage vector V i (S a S b S c ) in step 3 to obtain the inverter The output voltage of the device, that is, the stator voltage u αi and u βi of the permanent magnet synchronous motor, as shown in formula (4):
其中,i=0,1,2,3,4,5,6,7,Sai等于电压矢量Vi(SaSbSc)对应的开关状态Sa,Sbi等于电压矢量Vi(SaSbSc)对应的开关状态Sb,Sci等于电压矢量Vi(SaSbSc)对应的开关状态Sc。Among them, i=0,1,2,3,4,5,6,7, S ai is equal to the switch state S a corresponding to the voltage vector V i (S a S b S c ), and S bi is equal to the voltage vector V i ( The switch state S b corresponding to S a S b S c ), S ci is equal to the switch state S c corresponding to the voltage vector V i (S a S b S c ).
步骤五、将步骤一得到的输出电流iα、iβ,步骤二得到的等效反电动势eα、eβ和步骤四得到的定子电压uαi、uβi代入永磁同步电机的离散电流预测模型预测k+1时刻的输出电流iαi(k+1)和iβi(k+1),如公式(5)所示:Step 5. Substitute the output current i α , i β obtained in step 1, the equivalent back electromotive force e α , e β obtained in step 2, and the stator voltage u αi , u βi obtained in step 4 into the discrete current prediction of the permanent magnet synchronous motor The model predicts the output current i αi (k+1) and i βi (k+1) at time k+1, as shown in formula (5):
其中,i=0,1,2,3,4,5,6,7,Ts为采样周期,Rs为永磁同步电机的定子电阻,Lq为永磁同步电机的定子电感。Among them, i=0,1,2,3,4,5,6,7, T s is the sampling period, R s is the stator resistance of the permanent magnet synchronous motor, and L q is the stator inductance of the permanent magnet synchronous motor.
步骤六、将步骤五得到的输出电流iαi(k+1)、iβi(k+1)和步骤二得到的等效反电动势eα、eβ代入永磁同步电机的定子磁链预测模型预测k+1时刻的定子磁链ψαi(k+1)、ψβi(k+1)并计算定子磁链幅值ψsi(k+1),如公式(6)和公式(7)所示:Step 6. Substitute the output current i αi (k+1), i βi (k+1) obtained in step 5 and the equivalent counter electromotive force e α and e β obtained in step 2 into the stator flux linkage prediction model of the permanent magnet synchronous motor Predict the stator flux linkage ψ αi (k+1) and ψ βi (k+1) at time k+1 and calculate the stator flux amplitude ψ si (k+1), as shown in formula (6) and formula (7) Show:
其中,i=0,1,2,3,4,5,6,7,eα和eβ均为永磁同步电机的等效反电动势,ωr为永磁同步电机的角速度。Among them, i=0,1,2,3,4,5,6,7, e α and e β are the equivalent counter electromotive force of the permanent magnet synchronous motor, ω r is the angular velocity of the permanent magnet synchronous motor.
步骤七、将步骤五得到的输出电流iαi(k+1)、iβi(k+1)和步骤六得到的定子磁链ψαi(k+1)、ψβi(k+1)代入永磁同步电机的转矩预测模型计算永磁同步电机的转矩Tei(k+1),如公式(8)所示:Step 7. Substitute the output current i αi (k+1), i βi (k+1) obtained in step 5 and the stator flux linkage ψ αi (k+1) and ψ βi (k+1) obtained in step 6 into the permanent The torque prediction model of the magnetic synchronous motor calculates the torque T ei (k+1) of the permanent magnet synchronous motor, as shown in formula (8):
其中,i=0,1,2,3,4,5,6,7,np为永磁同步电机的极对数。Among them, i=0,1,2,3,4,5,6,7, n p is the number of pole pairs of the permanent magnet synchronous motor.
步骤八、根据负载要求设定参考电机转矩并根据参考电机转矩通过公式(9)计算得到参考定子磁链 Step 8. Set the reference motor torque according to the load requirement and according to the reference motor torque The reference stator flux linkage is calculated by formula (9)
其中,np为永磁同步电机的极对数,ψf为永磁同步电机的永磁体磁链,Lq为永磁同步电机的定子电感。Among them, n p is the number of pole pairs of the permanent magnet synchronous motor, ψ f is the permanent magnet flux linkage of the permanent magnet synchronous motor, and L q is the stator inductance of the permanent magnet synchronous motor.
步骤九、计算参考定子磁链减去步骤六得到的定子磁链幅值ψsi(k+1)的绝对值得到定子磁链目标函数gψi,计算参考电机转矩减去步骤七得到的转矩Tei(k+1)的绝对值得到转矩目标函数gTi,如公式(10)所示:Step 9. Calculate reference stator flux linkage Subtract the absolute value of the stator flux amplitude ψ si (k+1) obtained in step 6 to obtain the stator flux objective function g ψi , and calculate the reference motor torque Subtract the absolute value of the torque T ei (k+1) obtained in step 7 to obtain the torque target function g Ti , as shown in formula (10):
其中,i=0,1,2,3,4,5,6,7。Wherein, i=0,1,2,3,4,5,6,7.
步骤十、分别对步骤九得到的转矩目标函数gTi和定子磁链目标函数gψi进行二范数标准化,并通过融合的方式计算得到新的目标函数Gi,如公式(11)所示:Step 10: Perform two-norm standardization on the torque objective function g Ti and the stator flux objective function g ψi obtained in step 9 respectively, and calculate the new objective function G i by means of fusion, as shown in formula (11) :
其中,i=0,1,2,3,4,5,6,7。Wherein, i=0,1,2,3,4,5,6,7.
步骤十一、比较目标函数Gi的值,将最小的目标函数Gi对应的电压矢量Vi(SaSbSc)作为最有矢量,并将最有矢量用于控制永磁同步电机。Step 11. Compare the value of the objective function G i , take the voltage vector V i (S a S b S c ) corresponding to the smallest objective function G i as the most effective vector, and use the most effective vector to control the permanent magnet synchronous motor .
为了验证本发明的有效性,与传统永磁同步电机预测转矩控制方案进行了仿真验证。仿真时,并网逆变器的直流侧电压Udc为600V,电机定子电阻Rs为0.0154Ω,永磁体磁链ψf为1.5Wb,d轴电感Ld为4mH,q轴电感Lq为9mH,电机极对数np为3,参考电机转矩为300Nm。图2给出了文献[徐艳平,李园园,周钦.永磁同步电机双模型预测转矩控制策略[J].电力电子技术,2018,52(06):37-39]的仿真结果,图3给出了本发明的仿真结果。如图2所示,传统永磁同步电机预测转矩控制方案由于目前尚没有成熟的权重因子设计理论,很难同时得到最优的定子磁链和转矩控制效果,也即转矩误差和转矩的波形以及磁链误差和磁链的波形波动均相对较大;如图3所示,本发明由于建立了转矩和磁链两个目标函数,并通过二范数标准化得到了一个新的无需权重系数的目标函数,实现永磁同步电机的转矩和磁链控制,降低了转矩误差和转矩的波形以及磁链误差和磁链的波形波动幅度。本发明无需权重系数,这不仅降低了系统设计、调试的复杂度,而且有助于降低转矩纹波,提高转矩控制精度。In order to verify the effectiveness of the present invention, simulation verification is carried out with the traditional permanent magnet synchronous motor predictive torque control scheme. During the simulation, the DC side voltage U dc of the grid-connected inverter is 600V, the motor stator resistance R s is 0.0154Ω, the permanent magnet flux linkage ψ f is 1.5Wb, the d-axis inductance L d is 4mH, and the q-axis inductance L q is 9mH, the number of motor pole pairs n p is 3, the reference motor torque is 300Nm. Figure 2 shows the simulation results of the literature [Xu Yanping, Li Yuanyuan, Zhou Qin. Dual-model predictive torque control strategy for permanent magnet synchronous motors [J]. Power Electronics Technology, 2018,52(06):37-39], Figure 3 The simulation results of the present invention are given. As shown in Figure 2, due to the lack of a mature weight factor design theory in the traditional PMSM predictive torque control scheme, it is difficult to obtain the optimal stator flux linkage and torque control effect at the same time, that is, the torque error and the rotational speed The wave form of moment and the wave form fluctuation of flux linkage error and flux linkage are all relatively large; As shown in Figure 3, the present invention has obtained a new one because of having set up two objective functions of torque and flux linkage, and by two-norm standardization The objective function without the weight coefficient realizes the torque and flux linkage control of the permanent magnet synchronous motor, and reduces the torque error and the waveform of the torque, as well as the fluctuation range of the flux linkage error and the flux linkage. The invention does not need weight coefficients, which not only reduces the complexity of system design and debugging, but also helps to reduce torque ripple and improve torque control precision.
以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the scope of the present invention. within the scope of protection.
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CN111293940A (en) * | 2020-03-09 | 2020-06-16 | 天津工业大学 | A permanent magnet synchronous motor control system and its predictive control method |
CN111293940B (en) * | 2020-03-09 | 2021-10-08 | 天津工业大学 | A permanent magnet synchronous motor control system and its predictive control method |
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CN111555680B (en) * | 2020-05-22 | 2022-03-22 | 天津大学 | Dead-beat prediction current control method for permanent magnet synchronous motor |
CN112468044A (en) * | 2020-11-10 | 2021-03-09 | 东南大学 | Model prediction control system and method of permanent magnet synchronous linear motor |
CN112468044B (en) * | 2020-11-10 | 2022-09-06 | 东南大学 | Model prediction control system and method for permanent magnet synchronous linear motor |
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CN113395025A (en) * | 2021-07-30 | 2021-09-14 | 阳光电源股份有限公司 | Output power determination method of wind power permanent magnet generator and fan converter |
CN116094411A (en) * | 2023-02-11 | 2023-05-09 | 厦门理工学院 | Permanent magnet synchronous motor prediction torque control method, storage medium and electronic equipment |
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