基于新型趋近律的永磁同步电机调速研究

Research on Speed Regulation of Permanent Magnet Synchronous Motor Based on New Reaching Law

为了提高表贴式永磁同步电机的调速性能,提出一种新型趋近律。该趋近律可以根据系统状态离滑模面的距离进行自适应调整参数,综合了滑模控制中抖振和快速性之间的矛盾,并引入双曲正切函数进一步减小由符号函数切换过程带来的抖振。为了证明该趋近律的优越性,利用相轨迹图进行分析,并采用Lyapunov函数对所提的新型趋近律进行了稳定性分析。同时,为了避免对趋近律参数进行反复试凑,引入万有引力算法对参数进行整定。采用MATLAB/Simulink进行建模仿真,与指数趋近律相比,使用所提的趋近律设计的速度环滑模控制不仅提高了系统的调速性能,而且削弱了系统的抖振现象,改善了系统的动态特性以及鲁棒性。

In order to improve the speed regulation performance of surface mount permanent magnet synchronous motors, a new type of reaching law is proposed, which can adjust parameters adaptively according to the distance of the system state from the sliding mode surface. It combines the contradiction between chattering and rapidity in sliding mode control, and introduces hyperbolic tangent. The function further reduces chattering caused by the switching process of the sign function. In order to prove the superiority of the reaching law, the phase trajectory diagram is used for analysis, and the Lyapunov function is used to analyze the stability of the proposed new reaching law. Meanwhile, in order to avoid repeated trials of the reaching law parameters, the universal gravitation algorithm is introduced to adjust the parameters. Using MATLAB/Simulink for modeling and simulation, compared with the exponential reaching law, the speed loop sliding mode control designed by the proposed reaching law not only improves the speed regulation performance of the system, but also weakens the chattering phenomenon of the system, improves the dynamic characteristics and robustness of the system.