中文摘要：

从电机稳态工作点角度出发,分析了矩阵变换器（matrix converter,MC）馈电的永磁同步电机（permanentmagnet synchronous motor,PMSM）驱动系统静态稳定性。用＂占空比矢量＂表达矩阵变换器的输入输出关系,在旋转坐标系下建立系统小信号模型;利用Lyapunov稳定判据得到稳定运行区域及边界,分析了稳定边界的功率特性及系统参数对稳定运行区域的影响。理论分析及数值计算表明,矩阵变换器输出功率限值不恒定且与电机稳态工作点选取有关;参数对系统稳定性的影响表现出一定的规律性。仿真结果验证了文中的建模和分析正确、有效,相关结论和实验研究对MC-PMSM系统参数设计和性能分析具有指导意义。

英文摘要：

Static stability analysis is performed for matrix converter（MC） fed permanent magnet synchronous motor（PMSM） drive systems considering steady operating points of PMSM.The input-output relationship of MC is expressed simply using the ＂duty-cycle space-vector＂.Small-signal equations of the MC-PMSM system,including both power stage and control stage,are derived with the variables in rotating references.Stable region and its boundary are obtained according to a Lyapunov-type stability analysis based on these equations.Power characteristics of the stable boundary is presented and analyzed,and the influence of the parameters of input and digital filters on stable region is discussed.Numerical calculation results show that the output power limit of MC varies with operating points of the PMSM,and is not constant.In addition,the influence of the parameters on stability appears to follow some useful rules.The modeling and analyzing is verified by a computer simulation.Experimental research is carried out to give quantitative verification.The research of this paper can be used as a guide for stability design and parameters selection for MC-PMSM systems.