CN115065294A - Switched reluctance motor model prediction torque control method based on multi-level power converter - Google Patents
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Abstract
本发明提出一种基于多电平功率变换器的开关磁阻电机模型预测转矩控制方法,首先通过离线测量获取开关磁阻电机的电感特性、转矩特性,制作出电机的磁链电流转矩表;之后根据当前位置、转速和电流信息,结合开关状态查表预测下一时刻的电流和位置信息;而为进行延时补偿,还需再进一步预测之后两时刻的电流和位置信息,然后查表获取各开关状态下的转矩并带入代价函数,通过代价函数寻优得到最优解的开关状态,再通过开关信号的解耦分别对应于三相的功率变换器的开关管的开关状态,以此达到转矩脉动抑制的效果。
The present invention proposes a model prediction torque control method for a switched reluctance motor based on a multilevel power converter. First, the inductance characteristics and torque characteristics of the switched reluctance motor are obtained by offline measurement, and the flux linkage current torque of the motor is produced. Then, according to the current position, speed and current information, combined with the switch state, look up the table to predict the current and position information at the next moment; and in order to perform delay compensation, it is necessary to further predict the current and position information at the next two moments, and then check The table obtains the torque under each switching state and brings it into the cost function. Through the optimization of the cost function, the switching state of the optimal solution is obtained, and then the switching state of the switching tube of the three-phase power converter is corresponding to the decoupling of the switching signal. , so as to achieve the effect of torque ripple suppression.
Description
技术领域technical field
本发明属于电机控制领域,具体为一种基于多电平功率变换器的开关磁阻电机模型预测转矩控制方法。The invention belongs to the field of motor control, in particular to a model prediction torque control method of a switched reluctance motor based on a multi-level power converter.
背景技术Background technique
在自身结构上,开关磁阻电机定子和转子均为凸极结构,不存在转子绕组和永磁体,结构简单且坚固,成本又相对较低。它拥有较高的转矩密度、功率密度的同时,又不存在齿槽扭矩。因此磁阻电机的结构相对于其他电机更坚固,在恶劣环境中运行会更加持久。在电机控制上,开关磁阻电机的可控性高,它的电磁转矩方向由绕组励磁顺序决定而与电流方向无关。由于开关磁阻电机具有高效率,高可靠性,高启动转矩与高容错能力等许多固有优点被广泛应用于电动汽车、家用电器、航空航天、工业传动等领域。然而,由于其电磁特性的高度非线性,开关磁阻电机存在转矩脉动和伺服振动等缺点,这些缺点限制了其应用领域。因此为提高开关磁阻电机调速系统的性能,抑制转矩脉动和振动已成为开关磁阻电机的研究热点。In terms of its own structure, both the stator and the rotor of the switched reluctance motor are salient pole structures, and there are no rotor windings and permanent magnets. The structure is simple and robust, and the cost is relatively low. It has high torque density and power density without cogging torque. Therefore, the structure of the reluctance motor is stronger than other motors, and it will last longer in harsh environments. In motor control, the switch reluctance motor has high controllability, and its electromagnetic torque direction is determined by the winding excitation sequence and has nothing to do with the current direction. Because switched reluctance motors have many inherent advantages such as high efficiency, high reliability, high starting torque and high fault tolerance, they are widely used in electric vehicles, household appliances, aerospace, industrial transmission and other fields. However, due to the highly nonlinear nature of their electromagnetic properties, switched reluctance motors suffer from disadvantages such as torque ripple and servo vibration, which limit their application fields. Therefore, in order to improve the performance of the switch reluctance motor speed control system, suppressing the torque ripple and vibration has become a research hotspot of the switch reluctance motor.
目前常用的减小转矩脉动的方法主要有转矩分配函数、相电流PI控制器、直接转矩控制和直接瞬时转矩控制等,这些方法都各有利弊。模型预测控制通过构建代价函数,直观方便地实现多目标优化,在开关磁阻电机控制中受到越来越多的关注。通过构建开关磁阻电机转矩和径向力的成本函数,模型预测控制既同时解决转矩脉动和振动的问题,对提高开关磁阻电机适用性和调速性能有着重要作用。At present, the commonly used methods to reduce torque ripple mainly include torque distribution function, phase current PI controller, direct torque control and direct instantaneous torque control, etc. These methods have their own advantages and disadvantages. Model predictive control can achieve multi-objective optimization intuitively and conveniently by constructing a cost function, and has received more and more attention in switched reluctance motor control. By constructing the cost functions of the torque and radial force of the switched reluctance motor, model predictive control not only solves the problems of torque ripple and vibration at the same time, but also plays an important role in improving the applicability and speed regulation performance of the switched reluctance motor.
而目前的模型预测控制方法运用的功率变换器都是传统不对称半桥的三电平,虽然也有减小转矩波动的效果,但是三电平已经越来越不能满足电机在高速以及各种应用领域的需求了,于是就需要更加灵活和高效的多电平功率变换器的出现,这就使得对于多电平功率变换器的控制方法提出了要求。However, the power converters used by the current model predictive control methods are all three-level traditional asymmetric half-bridges. Although they also have the effect of reducing torque fluctuations, the three-level power converters are increasingly unable to meet the requirements of high-speed motors and various The demand of the application field has increased, so a more flexible and efficient multi-level power converter is required, which makes a requirement for the control method of the multi-level power converter.
发明内容SUMMARY OF THE INVENTION
针对传统模型预测是对不对称半桥三电平功率变换器的控制,但三电平不能很好的满足器件以及电平多样性要求的问题,本发明提出了一种基于多电平功率变换器开关磁阻电机模型预测转矩控制方法,该方法不再是针对传统不对称半桥功率变换器的控制,而是针对五电平的功率变换器的方法。Aiming at the problem that the traditional model prediction is the control of the asymmetric half-bridge three-level power converter, but the three-level can not well meet the requirements of the device and the level diversity, the present invention proposes a multi-level power converter based on This method is no longer aimed at the control of traditional asymmetric half-bridge power converters, but is aimed at five-level power converters.
该方法不是简单的延续三电平时对所有的开关状态进行预测,而是通过一定的选取进行预测,针对换相算法以及矢量优化提出了改进策略。该方法的总体步骤是:首先通过离线测量获取开关磁阻电机的电感特性、转矩特性,制作出电机的磁链电流转矩表;之后根据当前位置、转速和电流信息,结合开关状态查表预测下一时刻的电流和位置信息;而为进行延时补偿,还需再进一步预测之后两时刻的电流和位置信息,然后查表获取各开关状态下的转矩并带入代价函数,通过代价函数寻优得到最优解的开关状态,再通过开关信号的解耦分别对应于三相的功率变换器的开关管的开关状态,以此达到转矩脉动抑制的效果。This method does not simply predict all switch states when three levels are continued, but predicts through certain selections, and proposes an improved strategy for the commutation algorithm and vector optimization. The overall steps of the method are as follows: first, the inductance characteristics and torque characteristics of the switched reluctance motor are obtained by offline measurement, and the flux linkage current torque table of the motor is produced; then according to the current position, speed and current information, combined with the switch state, look up the table Predict the current and position information at the next moment; and in order to perform delay compensation, it is necessary to further predict the current and position information at the next two moments, and then look up the table to obtain the torque in each switching state and bring it into the cost function, through the cost The function optimization obtains the switch state of the optimal solution, and then through the decoupling of the switch signal, it corresponds to the switch state of the switch tube of the three-phase power converter, so as to achieve the effect of torque ripple suppression.
本发明的技术方案为:The technical scheme of the present invention is:
所述一种基于多电平功率变换器的开关磁阻电机模型预测转矩控制方法,包括以下步骤:The method for predictive torque control of a switched reluctance motor model based on a multi-level power converter includes the following steps:
步骤1:确定参考转矩Tref;获取开关磁阻电机电感特性、磁链特性和转矩特性,并根据以上特性构建数据表Lph(Iph,θ)、Tph(Iph,θ);其中,Lph、Tph、Iph、θ分别表示开关磁阻电机相电感、相转矩、相电流和转子位置;Step 1: Determine the reference torque T ref ; obtain the inductance characteristics, flux linkage characteristics and torque characteristics of the switched reluctance motor, and construct data tables L ph (I ph ,θ), T ph (I ph ,θ) according to the above characteristics ; Among them, L ph , T ph , I ph , and θ represent the switched reluctance motor phase inductance, phase torque, phase current and rotor position, respectively;
步骤2:采集电机在k时刻的转子位置θ(k)、相电流iph(k)、转速ω(k)以及相电压Vph(k)和磁链ψph(k)的值;Step 2: Collect the rotor position θ(k), phase current i ph (k), rotational speed ω(k), and phase voltage V ph (k) and flux linkage ψ ph (k) of the motor at time k;
步骤3:根据步骤2得到的测量数据,预测k+1时刻的转子位置θ(k+1)、磁链ψph(k+1);并通过查表获得相电流iph(k+1);其中Step 3: According to the measurement data obtained in
θ(k+1)=θ(k)+ω(k)Tsθ(k+1)=θ(k)+ω(k)Ts
ψph(k+1)=[Vph(k)-iph(k)R]Ts+ψph(k)ψ ph (k+1)=[V ph (k)-i ph (k)R]Ts+ψ ph (k)
式中R为负载电阻,Ts为采样频率,ω(k)、θ(k)、iph(k)、Vph(k)分别为k时刻的转速、转子位置、相电流、相电压,θ(k+1)、iph(k+1)分别为k+1时刻的转子位置和相电流值;where R is the load resistance, Ts is the sampling frequency, ω(k), θ(k), i ph (k), and V ph (k) are the rotational speed, rotor position, phase current, and phase voltage at time k, respectively, θ (k+1), i ph (k+1) are the rotor position and phase current value at the time of k+1, respectively;
步骤4:根据公式θ(k+2)=2θ(k+1)-θ(k)预测k+2时刻转子位置θ(k+2),式中θ(k)、θ(k+1)、θ(k+2)分别为k、k+1、k+2时刻的转子位置;根据k+2时刻转子位置θ(k+2),判断其是否处于换相区,如果处于换相区,则对k+2时刻可能的12种开关状态分别进行转矩预测,如果不处于换相区,则对k+2时刻可能的5种开关状态分别进行转矩预测;Step 4: Predict the rotor position θ(k+2) at time k+2 according to the formula θ(k+2)=2θ(k+1)-θ(k), where θ(k), θ(k+1) , θ(k+2) are the rotor positions at moments k, k+1, and k+2 respectively; according to the rotor position θ(k+2) at moment k+2, it is judged whether it is in the commutation zone, if it is in the commutation zone , then the torque prediction is performed for the 12 possible switching states at the time k+2, respectively, and if it is not in the commutation region, the torque prediction is performed for the 5 possible switching states at the time k+2 respectively;
所述5种开关状态分别为:The five switch states are:
A相、B相、C相的开关状态变量分别为(1,-1,-1),(0.5,-1,-1),(0,-1,-1),(-0.5,-1,-1),(-1,-1,-1);The switch state variables of phase A, phase B and phase C are (1, -1, -1), (0.5, -1, -1), (0, -1, -1), (-0.5, -1 respectively , -1), (-1, -1, -1);
所述12种开关状态分别为:The 12 switch states are:
A相、B相、C相的开关状态变量分别为(1,1,-1),(1,0.5,-1),(1,0,-1),(1,-0.5,-1),(1,-1,-1),(0.5,0.5,-1),(0.5,0,-1),(0.5,-0.5,-1),(0.5,-1,-1),(0,0,-1),(0,-0.5,-1),(0,-1,-1);The switching state variables of phase A, phase B and phase C are (1, 1, -1), (1, 0.5, -1), (1, 0, -1), (1, -0.5, -1) , (1, -1, -1), (0.5, 0.5, -1), (0.5, 0, -1), (0.5, -0.5, -1), (0.5, -1, -1), ( 0, 0, -1), (0, -0.5, -1), (0, -1, -1);
对每种开关状态进行转矩预测的过程为:The process of torque prediction for each switching state is:
步骤4.1:根据该开关状态的三相开关状态变量以及开关状态变量与相电压的关系,得到输出电压大小,即为k+1时刻的预测相电压Vph(k+1);进而利用公式Step 4.1: According to the three-phase switch state variable of the switch state and the relationship between the switch state variable and the phase voltage, the output voltage is obtained, which is the predicted phase voltage V ph (k+1) at the time of k+1; and then use the formula
ψph(k+2)=[Vph(k+1)-iph(k+1)R]Ts+ψph(k+1)ψ ph (k+2)=[V ph (k+1)-i ph (k+1)R]Ts+ψ ph (k+1)
预测k+2时刻磁链ψph(k+2),然后通过查表法获得k+2时刻的相电流iph(k+2);Predict the flux linkage ψ ph (k+2) at time k+2, and then obtain the phase current i ph (k+2) at time k+2 by looking up the table method;
步骤4.2:结合k+2时刻的相电流和转子位置信息,通过查表Tph(Iph,θ)预测k+2时刻的相转矩Tph(k+2),进而根据公式求取总转矩:Step 4.2: Combine the phase current and rotor position information at time k+2, predict the phase torque T ph (k+2) at time k+2 by looking up the table T ph (I ph , θ), and then obtain the total value according to the formula. Torque:
式中Nph表示开关磁阻电机相数,ph表示相数数值,Tph(k+2)表示k+2时刻的相转矩,T(k+2)表示开关磁阻电机总转矩;In the formula, N ph represents the number of phases of the switched reluctance motor, ph represents the number of phases, T ph (k+2) represents the phase torque at the moment of k+2, and T(k+2) represents the total torque of the switched reluctance motor;
步骤4.3:根据步骤4.2预测出k+2时刻的总转矩,求出代价函数:Step 4.3: Predict the total torque at time k+2 according to step 4.2, and obtain the cost function:
J=qT*(|Ta-Taref|2+|Tb-Tbref|2+|Tc-Tcref|2)+qI*(Ia 2+Ib 2+Ic 2)J=q T *(|T a -T aref | 2 +|T b -T bref | 2 +|T c -T cref | 2 )+q I *(I a 2 +I b 2 +I c 2 )
其中J为代价函数,qT为转矩误差所占比例,qI为相电流误差所占比例,Ta、Tb、Tc为根据步骤4.2得到的开关磁阻电机总转矩T(k+2)分解出的三相转矩,Ia、Ib、Ic为三相相电流,Taref、Tbref、Tcref为三相参考转矩;where J is the cost function, q T is the proportion of torque error, q I is the proportion of phase current error, T a , T b , and T c are the total torque T(k) of the switched reluctance motor obtained according to step 4.2 +2) Decomposed three-phase torque, I a , I b , I c are three-phase phase currents, T aref , T bref , T cref are three-phase reference torques;
步骤5:对于步骤4所述5种开关状态或12种开关状态,分别求出对应的代价函数值,找出最小代价函数值对应的开关状态,即为使得转矩脉动最小的最优解开关信号;通过得到的最优解,得到最优解对应的三相开关状态变量,然后通过开关状态变量与每相的开关管的对应关系解耦得到各相开关管的开关状态;Step 5: For the 5 switch states or 12 switch states described in
步骤6:在步骤5完成的基础上,返回到步骤2,以此循环。Step 6: On the basis of the completion of Step 5, return to
进一步的,所述参考转矩Tref由转矩分配函数确定,采用余弦函数作为转矩分配函数。Further, the reference torque T ref is determined by a torque distribution function, and a cosine function is used as the torque distribution function.
进一步的,步骤5中,转矩误差所占比例qT取15,相电流误差所占比例qI取0.02。Further, in step 5, the proportion q T of the torque error is 15, and the proportion q I of the phase current error is 0.02.
进一步的,步骤5中,开关状态变量与每相的开关管的对应表为Further, in step 5, the correspondence table between the switch state variable and the switch tube of each phase is:
。.
进一步的,步骤4.1中,开关状态变量与相电压的关系为:当开关状态变量Uph=1时,相电压Vph=2U;Uph=0.5时,相电压Vph=U;Uph=0时,相电压Vph=0;Uph=-0.5时,相电压Vph=-U;Uph=-1时,相电压Vph=-2U。Further, in step 4.1, the relationship between the switch state variable and the phase voltage is: when the switch state variable U ph =1, the phase voltage V ph =2U; when U ph =0.5, the phase voltage V ph =U; U ph = When 0, the phase voltage V ph =0; when U ph =-0.5, the phase voltage V ph =-U; when U ph =-1, the phase voltage V ph =-2U.
有益效果beneficial effect
本发明公开了一种基于多电平功率变换器的开关磁阻电机模型预测转矩控制方法。同时将转矩分配与模型预测控制相结合,在转矩分配中,考虑对模型预估误差的补偿,获取各相的参考转矩。在模型预测控制中,通过离线测量获取开关磁阻电机的电感特性、转矩特性,根据当前位置、转速和电流信息,结合开关状态查表预测下一时刻的电流和位置信息;为进行延时补偿,还再进一步预测电流和位置信息,然后查表获取各开关状态下的转矩并带入成本函数,构建包含相参考转矩跟踪误差的代价函数,通过寻求使代价函数最优的控制信号,然后将最优的控制信号作为开关信号控制功率变换器中的开关,实现兼顾运行效率的开关磁阻电机转矩波动抑制。仿真结果验证了所述方法的有效性,所述方法控制逻辑简单、转矩脉动效果明显及易于工程实现。The invention discloses a model prediction torque control method of a switched reluctance motor based on a multilevel power converter. At the same time, the torque distribution is combined with the model predictive control. In the torque distribution, the compensation of the model prediction error is considered, and the reference torque of each phase is obtained. In the model predictive control, the inductance characteristics and torque characteristics of the switched reluctance motor are obtained through offline measurement, and the current and position information at the next moment are predicted according to the current position, speed and current information combined with the switch state look-up table; Compensation, and further predicts the current and position information, and then looks up the table to obtain the torque under each switching state and brings it into the cost function, constructs a cost function including the phase reference torque tracking error, and seeks the optimal control signal for the cost function. , and then use the optimal control signal as the switch signal to control the switch in the power converter, so as to realize the torque fluctuation suppression of the switched reluctance motor taking into account the operating efficiency. Simulation results verify the effectiveness of the method. The method has simple control logic, obvious torque ripple effect and easy engineering implementation.
本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be set forth, in part, from the following description, and in part will be apparent from the following description, or may be learned by practice of the invention.
附图说明Description of drawings
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and readily understood from the following description of embodiments taken in conjunction with the accompanying drawings, wherein:
图1为基于模型预测控制的开关磁阻电机转矩脉动抑制方法的控制框图;Fig. 1 is the control block diagram of the torque ripple suppression method of switched reluctance motor based on model predictive control;
图2~图6为开关磁阻电机多电平功率变换器单相桥臂五种开关状态示意图;(虚线为电流流向);Figures 2 to 6 are schematic diagrams of five switching states of a single-phase bridge arm of a switched reluctance motor multilevel power converter; (dotted line is the current flow);
其中:in:
图2为开关磁阻电机多电平功率变换器快速励磁状态电路图;Fig. 2 is the circuit diagram of the fast excitation state of the switched reluctance motor multilevel power converter;
图3为开关磁阻电机多电平功率变换器正常励磁状态电路图;Fig. 3 is the circuit diagram of the normal excitation state of the switched reluctance motor multilevel power converter;
图4为开关磁阻电机多电平功率变换器零压续流状态电路图;FIG. 4 is a circuit diagram of a zero-voltage freewheeling state of a switched reluctance motor multilevel power converter;
图5为开关磁阻电机多电平功率变换器正常退磁状态电路图;Fig. 5 is the circuit diagram of the normal demagnetization state of the switched reluctance motor multilevel power converter;
图6为开关磁阻电机多电平功率变换器快速退磁状态电路图;6 is a circuit diagram of a fast demagnetization state of a switched reluctance motor multilevel power converter;
图7、图8为优化矢量选择图表(加深下划线的为被删选的矢量,黑色是备询选矢量);Fig. 7, Fig. 8 are optimized vector selection charts (the underlined ones are the deleted vectors, and the black ones are for the selection vector);
其中:in:
图7为单相导通区的5种矢量选择图表;Fig. 7 is a chart of 5 kinds of vector selection of single-phase conduction region;
图8为换相区的12矢量选择图表;Fig. 8 is the 12 vector selection chart of the commutation area;
图9为基于模型预测控制的开关磁阻电机转矩脉动抑制方法流程图;9 is a flowchart of a method for suppressing torque ripple of a switched reluctance motor based on model predictive control;
图10、图11为在2000rpm运行时,角度位置控制与模型预测控制的转矩脉动对比图;Figure 10 and Figure 11 are the torque ripple comparison diagrams between angular position control and model predictive control when running at 2000rpm;
其中:in:
图10为角度位置控制总转矩脉动图;Figure 10 is a diagram of the total torque ripple of angular position control;
图11为模型预测控制总转矩脉动图。FIG. 11 is a diagram of the model predictive control total torque ripple.
具体实施方式Detailed ways
下面结合具体实施例描述本发明,所述实施例是示例性的,旨在用于解释本发明,而不能理解为对本发明的限制。实例所用电机为一个1kW三相12/8极开关磁阻电机。The present invention is described below with reference to specific embodiments, which are exemplary and intended to explain the present invention, but should not be construed as limiting the present invention. The motor used in the example is a 1kW three-phase 12/8-pole switched reluctance motor.
本实施例提出了一种基于多电平功率变换器开关磁阻电机模型预测转矩控制方法,针对五电平进行模型预测控制,包括以下步骤:This embodiment proposes a model predictive torque control method for a switched reluctance motor based on a multi-level power converter, and performs model predictive control for five levels, including the following steps:
步骤1:给定参考转矩Tref,参考转矩是实际需要电机稳定达到的一个给定值。在闭环系统中,Tref可由转矩分配函数得到,转矩分配函数能够帮助模型预测控制在换相区进行换向,一般可以采用余弦函数作为转矩分配函数。其退磁相参考转矩Tdref和励磁相Teref可由参考转矩Tref表示为Step 1: Given a reference torque T ref , the reference torque is a given value that actually needs to be achieved by the motor stably. In the closed-loop system, T ref can be obtained from the torque distribution function, which can help the model predictive control to commutate in the commutation region. Generally, the cosine function can be used as the torque distribution function. Its demagnetization phase reference torque T dref and excitation phase T eref can be expressed by the reference torque T ref as
Teref=Tref*(0.5-0.5*cos(pi*(θ-θon)/θov))T eref =T ref *(0.5-0.5*cos(pi*(θ-θ on )/θ ov ))
Tdref=Tref*(0.5+0.5*cos(pi*(θ-θoff)/θov))T dref =T ref *(0.5+0.5*cos(pi*(θ-θ off )/θ ov ))
其中θ为转子位置,θon为开通角,θoff为关断角,θov为过度角。where θ is the rotor position, θ on is the turn-on angle, θ off is the turn-off angle, and θ ov is the transition angle.
通过转子固定夹持法获取开关磁阻电机电感特性、磁链特性和转矩特性,并根据以上特性构建数据表Lph(Iph,θ)、Tph(Iph,θ);其中,Lph、Tph、Iph、θ分别表示开关磁阻电机相电感、相转矩、相电流和转子位置。The inductance characteristics, flux linkage characteristics and torque characteristics of the switched reluctance motor are obtained by the rotor fixed clamping method, and the data tables L ph (I ph ,θ) and T ph (I ph ,θ) are constructed according to the above characteristics; where, L ph , T ph , I ph , and θ represent the switched reluctance motor phase inductance, phase torque, phase current, and rotor position, respectively.
步骤2:采集电机在k时刻的转子位置θ(k)、相电流iph(k)、转速ω(k)以及相电压Vph(k)和磁链ψph(k)的值;Step 2: Collect the rotor position θ(k), phase current i ph (k), rotational speed ω(k), and phase voltage V ph (k) and flux linkage ψ ph (k) of the motor at time k;
步骤3:根据步骤2得到的测量数据,预测k+1时刻的转子位置θ(k+1)、磁链ψph(k+1);并通过查表法获得相电流iph(k+1);其中Step 3: According to the measurement data obtained in
θ(k+1)=θ(k)+ω(k)Tsθ(k+1)=θ(k)+ω(k)Ts
ψph(k+1)=[Vph(k)-iph(k)R]Ts+ψph(k)ψ ph (k+1)=[V ph (k)-i ph (k)R]Ts+ψ ph (k)
式中R为负载电阻,Ts为采样频率,ω(k)、θ(k)、iph(k)、Vph(k)分别为k时刻的转速、转子位置、相电流、相电压,θ(k+1)、iph(k+1)分别为k+1时刻的转子位置和相电流值;where R is the load resistance, Ts is the sampling frequency, ω(k), θ(k), i ph (k), and V ph (k) are the rotational speed, rotor position, phase current, and phase voltage at time k, respectively, θ (k+1), i ph (k+1) are the rotor position and phase current value at the time of k+1, respectively;
步骤4:根据公式Step 4: According to the formula
θ(k+2)=2θ(k+1)-θ(k)θ(k+2)=2θ(k+1)-θ(k)
预测k+2时刻转子位置θ(k+2),式中θ(k)、θ(k+1)、θ(k+2)分别为k、k+1、k+2时刻的转子位置;根据k+2时刻转子位置θ(k+2),判断其是否处于换相区,如果处于换相区,则对k+2时刻可能的12种开关状态分别进行转矩电流预测,如果不处于换相区,则对k+2时刻可能的5种开关状态分别进行转矩电流预测;Predict the rotor position θ(k+2) at
所述5种开关状态分别为:The five switch states are:
A相、B相、C相的开关状态变量分别为(1,-1,-1),(0.5,-1,-1),(0,-1,-1),(-0.5,-1,-1),(-1,-1,-1);The switch state variables of phase A, phase B and phase C are (1, -1, -1), (0.5, -1, -1), (0, -1, -1), (-0.5, -1 respectively , -1), (-1, -1, -1);
所述12种开关状态分别为:The 12 switch states are:
A相、B相、C相的开关状态变量分别为(1,1,-1),(1,0.5,-1),(1,0,-1),(1,-0.5,-1),(1,-1,-1),(0.5,0.5,-1),(0.5,0,-1),(0.5,-0.5,-1),(0.5,-1,-1),(0,0,-1),(0,-0.5,-1),(0,-1,-1)。The switching state variables of phase A, phase B and phase C are (1, 1, -1), (1, 0.5, -1), (1, 0, -1), (1, -0.5, -1) , (1, -1, -1), (0.5, 0.5, -1), (0.5, 0, -1), (0.5, -0.5, -1), (0.5, -1, -1), ( 0, 0, -1), (0, -0.5, -1), (0, -1, -1).
对于某一相而言,开关状态变量Uph与相电压Vph的关系如下:For a certain phase, the relationship between the switching state variable U ph and the phase voltage V ph is as follows:
其中U表示母线电压的一半,U ph表示开关状态变量,Uph=1表示五电平功率变换器四个开关管都导通,Uph=0.5表示五电平功率变换器三个开关管都导通,Uph=0五电平功率变换器只有两个开关管导通,Uph=-0.5表示五电平功率变换器只有一个开关管导通,Uph=-1表示四个开关管都关闭。Among them, U represents half of the bus voltage, U ph represents the switch state variable, U ph = 1 means that all four switches of the five-level power converter are turned on, and U ph = 0.5 means that all three switches of the five-level power converter are turned on. Conduction, U ph = 0 five-level power converter has only two switches on, U ph = -0.5 means that only one switch is on in the five-level power converter, U ph = -1 means four switches are closed.
开关状态的组合规则为:在单向导通区,只计算当前导通相的开关状态,其余相位-1;在换相区,只预测正在换相的两相开关状态。The combination rule of switch states is: in the one-way conduction area, only the switch state of the current conduction phase is calculated, and the remaining phases are -1; in the commutation area, only the two-phase switch states that are being commutated are predicted.
上表为开关管状态对应开关状态变量的表格,其中Uph为开关状态变量,即每相桥臂两端输出电压与母线电压的比例,S1、S2、S3、S4表示每相四个开关管,On代表开通,Off代表关断。The above table is a table of switch state variables corresponding to the state of the switch tubes, in which U ph is the switch state variable, that is, the ratio of the output voltage at both ends of the bridge arm of each phase to the bus voltage, and S1, S2, S3, and S4 represent four switch tubes per phase , On stands for turn on, Off stands for turn off.
对于五电平的功率变换器而言,可选择的空间矢量为125个,但是其中有许多赘余的矢量,所以要进行矢量优化选择。For a five-level power converter, there are 125 space vectors that can be selected, but there are many redundant vectors, so vector optimization is required.
矢量的优化选择按照下面规则进行:The optimal selection of vectors is carried out according to the following rules:
单相导通区内,减小转矩时应尽量使用零电压续流状态以保证转矩平滑减小,避免因使用反向电压退磁状态而引起剧烈的转矩波动。In the single-phase conduction area, the zero-voltage freewheeling state should be used as far as possible when reducing the torque to ensure the smooth reduction of the torque and avoid the violent torque fluctuation caused by the use of the reverse voltage demagnetization state.
在换相区内,不得同时切换两相绕组的工作状态,以避免超调导致转矩脉动变大及功率管频繁动作所产生功率损耗。In the commutation area, the working states of the two-phase windings must not be switched at the same time, so as to avoid the overshoot which leads to the larger torque ripple and the power loss caused by the frequent action of the power tube.
在换相区内,开通相电压应始终大于等于零,以迅速建立所需的相电流,保证在单相导通区提供足够的转矩,且在需要增大转矩时优先给开通相励磁,所以将开通相电压小于零的值人为删去;关断相的电压不得大于开通相电压,避免相电流进入负转矩去产生负转矩,影响电机效率,在需要减小转矩时优先给关断相退磁,所以将断相的电压大于开通相电压的值人为删去。In the commutation area, the turn-on phase voltage should always be greater than or equal to zero to quickly build up the required phase current, ensure sufficient torque is provided in the single-phase conduction area, and give priority to the turn-on phase excitation when the torque needs to be increased. Therefore, the value of the turn-on phase voltage less than zero is artificially deleted; the turn-off phase voltage should not be greater than the turn-on phase voltage, so as to avoid the phase current entering the negative torque to generate negative torque, which will affect the motor efficiency, and give priority to when the torque needs to be reduced. The off-phase is demagnetized, so the value of the off-phase voltage greater than the on-phase voltage is artificially deleted.
在换相区内,减小转矩时应尽量使退磁相保持在零压续流状态,以避免导致剧烈的转矩波动。In the commutation zone, when reducing the torque, the demagnetization phase should be kept in the zero-voltage freewheeling state as much as possible to avoid severe torque fluctuation.
最后得到12种优化后的备选向量。Finally, 12 optimized candidate vectors are obtained.
由于位置信号不能马上一一对这些开关矢量信号对应,于是我们需要先将位置划分区域,对应125种矢量信号,然后对这些矢量信号编码,选取我们需要的开关信号。三相的编码如下:Since the position signal cannot correspond to these switch vector signals one by one, we need to first divide the position into regions, corresponding to 125 kinds of vector signals, and then encode these vector signals to select the switch signals we need. The three phases are coded as follows:
A相编码公式为:y1=[-floor(u/25.9)+2]/2The A-phase coding formula is: y1=[-floor(u/25.9)+2]/2
式中,floor函数为向负无穷大方向取整函数。In the formula, the floor function is a rounding function towards negative infinity.
B相编码公式为:y2=-{mod[floor(u/5.01),5]+2}/2The B-phase coding formula is: y2=-{mod[floor(u/5.01),5]+2}/2
式中,mod函数为取余函数In the formula, the mod function is the remainder function
C相编码公式为:The C-phase encoding formula is:
得到的三相的不同开关信号所对应的编码值会在最后完成最小化转矩脉动的代价函数计算后重新被取出,并解码成开关信号。The obtained coded values corresponding to different switching signals of the three phases will be retrieved again after the calculation of the cost function of minimizing torque ripple is finally completed, and decoded into switching signals.
对每种开关状态进行转矩预测的过程为:The process of torque prediction for each switching state is:
步骤4.1:对于预测的某一种可能的开关状态,根据三相的开关状态变量,以及开关状态变量与相电压的关系,得到输出电压大小,对应的输出电压大小也就是相电压大小,就可以得到k+1时刻的预测相电压Vph(k+1);Step 4.1: For a predicted possible switching state, according to the three-phase switching state variables and the relationship between the switching state variables and the phase voltage, the output voltage is obtained, and the corresponding output voltage is the phase voltage. Obtain the predicted phase voltage V ph (k+1) at
利用公式Use the formula
ψph(k+2)=[Vph(k+1)-iph(k+1)R]Ts+ψph(k+1)ψ ph (k+2)=[V ph (k+1)-i ph (k+1)R]Ts+ψ ph (k+1)
预测k+2时刻磁链ψph(k+2),然后通过查表法获得相电流iph(k+2);式中R为负载电阻,Ts为采样频率,θ(k+1)、iph(k+1)、Vph(k+1)分别为k+1时刻的转子位置、相电流、相电压,θ(k+2)、iph(k+2)分别为k+2时刻的转子位置和相电流值;Predict the flux linkage ψ ph (k+2) at
步骤4.2:结合k+2时刻的相电流和转子位置信息,通过查表Tph(Iph,θ)预测k+2时刻的相转矩Tph(k+2),进而求取总转矩;Step 4.2: Combine the phase current and rotor position information at
式中Nph表示开关磁阻电机相数,ph表示相数数值,Tph(k+2)表示k+2时刻的相转矩,T(k+2)表示开关磁阻电机总转矩;In the formula, N ph represents the number of phases of the switched reluctance motor, ph represents the number of phases, T ph (k+2) represents the phase torque at the moment of k+2, and T(k+2) represents the total torque of the switched reluctance motor;
步骤4.3:根据步骤4.2预测出k+2时刻的总转矩,求解代价函数;代价函数如下:Step 4.3: Predict the total torque at time k+2 according to step 4.2, and solve the cost function; the cost function is as follows:
J=qT*(|Ta-Taref|2+|Tb-Tbref|2+|Tc-Tcref|2)+qI*(Ia 2+Ib 2+Ic 2)J=q T *(|T a -T aref | 2 +|T b -T bref | 2 +|T c -T cref | 2 )+q I *(I a 2 +I b 2 +I c 2 )
其中J为代价函数,qT为转矩误差所占比例,qI为相电流误差所占比例,qT、qI为人为给定的数值,这里取转矩比重qT设为15,电流比重qI设为0.02,可以根据对需要电机性能作出相应改变。Ta、Tb、Tc为根据步骤4.2得到的开关磁阻电机总转矩T(k+2)分解出的三相转矩,Ia、Ib、Ic为三相相电流。Taref、Tbref、Tcref为三相参考转矩,其由转矩分配函数根据参考转矩给出。Among them, J is the cost function, q T is the proportion of torque error, q I is the proportion of phase current error, q T and q I are artificially given values, here the torque proportion q T is set to 15, and the current The specific gravity q I is set to 0.02, which can be changed according to the required motor performance. T a , T b , and T c are three-phase torques decomposed from the total torque T(k+2) of the switched reluctance motor obtained in step 4.2, and I a , I b , and I c are three-phase currents. T aref , T bref , T cref are three-phase reference torques, which are given by the torque distribution function from the reference torques.
步骤5:利用5种或12种开关状态,分别求出对应的代价函数值,找出最小代价函数值对应的开关状态,即为使得转矩脉动最小的最优解开关信号。通过得到的最优解,得到最优解对应的三相开关状态变量,然后通过开关状态变量与每相的开关管的对应表解耦出各相开关管的开关状态;解耦函数表如下:Step 5: Use 5 or 12 switching states to obtain the corresponding cost function values respectively, and find the switching state corresponding to the minimum cost function value, which is the optimal solution switching signal that minimizes the torque ripple. Through the obtained optimal solution, the three-phase switch state variable corresponding to the optimal solution is obtained, and then the switch state of each phase switch tube is decoupled through the switch state variable and the corresponding table of each phase switch tube; the decoupling function table is as follows:
步骤6:在步骤5完成的基础上,返回到步骤2,以此循环。Step 6: On the basis of the completion of Step 5, return to
图9为本发明所提出的控制方法流程图,图10图11分别为使用角度位置控制和本发明所使用的方法的转矩脉动抑制对比图(2000rpm)。由角度位置控制切换到模型预测转矩脉动抑制控制方法时,转矩脉动由131%降低到23%。由此可见,本发明提出的基于模型预测控制的开关磁阻电机转矩脉动抑制方法对降低转矩脉动有明显的效果。FIG. 9 is a flow chart of the control method proposed by the present invention, and FIGS. 10 and 11 are comparison diagrams (2000 rpm) of torque ripple suppression using angular position control and the method used in the present invention, respectively. When switching from the angular position control to the model-predicted torque ripple suppression control method, the torque ripple is reduced from 131% to 23%. It can be seen that the method for suppressing the torque ripple of the switched reluctance motor based on the model predictive control proposed by the present invention has an obvious effect on reducing the torque ripple.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在不脱离本发明的原理和宗旨的情况下在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it should be understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and those of ordinary skill in the art will not depart from the principles and spirit of the present invention Variations, modifications, substitutions, and alterations to the above-described embodiments are possible within the scope of the present invention without departing from the scope of the present invention.
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