基于反推控制的永磁同步电机稳定性单矢量控制策略  

Stable Single Vector Control Strategy of Permanent Magnet Synchronous Motor Based on Backstepping Control

作　　者：余洋 张千慧[1,2] 余宗哲 米增强 Yu Yang;Zhang Qianhui;Yu Zongzhe;Mi Zengqiang(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Baoding 071003,China;Key Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding 071003,China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),保定071003 [2]华北电力大学河北省分布式储能与微网重点实验室,保定071003

出　　处：《电工技术学报》2024年第14期4377-4390,共14页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(52077078);河北省自然科学基金(E2019502163)资助项目。

摘　　要：针对永磁同步电机传统单矢量控制需遍历所有基本矢量且忽略控制稳定性的问题,该文提出基于反推控制的永磁同步电机稳定性单矢量控制策略。首先,在建立dq0坐标系下永磁同步电机数学模型的基础上,推导设计常规反推控制器;其次,根据反推控制器获取的控制电压确定最优电压矢量所在扇区,并通过数学推导证明每个扇区内必有一个稳定的基本电压矢量可供选择,提出通过基本电压矢量对应Lyapunov函数导数值两两比较的最优基本电压矢量选取方法;然后,对选取包括最优基本电压矢量在内的不同基本电压矢量时的控制性能进行对比分析;最后,对提出的控制策略进行仿真和实验验证。结果表明,在驱动恒转矩、恒惯量负载和变转矩、变惯量涡簧负载的多个场景下,该文提出的控制策略均能有效追踪参考转速,并且与传统模型预测电流控制相比,所提控制策略的稳定性更强、输出量波动更小。The traditional single-vector control of permanent magnet synchronous motors traverses all basic vectors and ignores the control stability.This paper proposes a stable single-vector control strategy based on backstepping control.Firstly,the mathematical model of permanent magnet synchronous motors under the dq0 coordinate system is established,and the conventional backstepping controller is derived.The switch vector expression under the dq0 coordinate system is obtained.A basic voltage vector in each control cycle is required for the six sectors to keep the control system stable.Then,according to the control voltage obtained by the conventional backstepping controller,the sector of the optimal voltage vector is determined.The selection method of the optimal basic voltage vector is proposed.That is,the derivatives corresponding to the Lyapunov function in the three basic voltage vectors are compared in pairs,the basic voltage vector corresponding to the minimum derivative value of the Lyapunov function is selected as the optimal basic voltage vector,and the basic voltage vector derivative difference strategy table of the six sectors is given.Thus,the switching state is determined.Finally,the control performance of different basic voltage vectors,including the optimal basic voltage vector,is compared.Simulation verification is carried out.The results show that the proposed control strategy is cost-effective.When driving constant or variable torque load,the proposed control strategy effectively tracks the reference speed,which has strong stability and small output fluctuations.Suppose the optimal voltage vector is not used,but a voltage vector is arbitrarily selected for switching control.In this case,the speed and current errors become more extensive,and the control effect is significantly worse,further proving the effectiveness of the proposed control strategy.In addition,when the motor resistance and inductance parameters deviate from the rated value,the control strategy can maintain a small speed tracking error

关 键 词：永磁同步电机 反推控制 单矢量控制 基本电压矢量 功率分配 

分 类 号：TM73[电气工程—电力系统及自动化]