永磁同步电动机中混沌运动的部分解耦控制

永磁同步电动机在参数处于特定区域时存在混沌现象,混沌的存在将使电机的性能变差,因此要设法消除其混沌运动.电机中混沌的现有控制方法的控制目标只能为周期点或平衡点,不能满足实际需要.为了解决这个问题,设计了基于非线性反馈的永磁同步电动机中混沌现象的部分解耦控制.该方法以直轴和交轴电压为控制变量,通过电机状态的非线性反馈将直轴和交轴电流方程中的耦合项解耦,同时使得直轴和交轴电流可以跟踪设定值.这种控制方式的结果是使系统具有唯一稳定平衡点,而这个平衡点的位置可以根据实际要求设置为任意点.在任意时刻对处于混沌状态的永磁同步电动机进行部分解耦控制,受控系统将稳定于设定平衡点,从而实现混沌的控制.文中分析了控制参数与系统响应快速性之间的关系,为参数选择提供了指导.仿真结果表明了理论分析的正确性和该控制方法的有效性.

Partial decoupling control of chaos in permanent magnet synchronous motor

Permanent magnet synchronous motor(PMSM) demonstrates chaotic phenomena when its parameters are in a certain range of values.Chaos degrades the performance of the motor drive systems;therefore it should be eliminated.The existing methods for chaos control in motor drive systems,whose control objective is limited to periodic orbits or equilibrium points,can not meet the practical requirement.To solve the problem,the partial decoupling control method based on nonlinear feedback is suggested to control the chaos in PMSM.The direct-axis and quadrature-axis stator voltages are used as the manipulated variables,by which the coupling terms in the direct-axis and quadrature-axis stator current equations are decoupled through the nonlinear feedback of the motor's states.As a direct result of the control force,the controlled system has a unique stable equilibrium point,which can be set to any value according to the practical requirement.At any time,once the partial decoupling control is used for the chaotic PMSM,the chaotic motion in PMSM will be stabilized at a predetermined equilibrium point.In this way,the chaos is eliminated in PMSM.The relationship between controlled system responses and control parameters is investigated,which gives guidance for parameter selection.The simulation results show that the theoretical analysis is correct and the method is effective.