中文摘要：

多相异步电机在相坐标系下的数学模型存在复杂的耦合,给其分析和控制带来了不便。论文在推导出多相异步电机模型参数计算公式的基础上,在实数域中给出可将这些模型参数对角化的变换矩阵,实现了多相异步电机定子各相、转子各回路的解耦,以此建立一种基于广义dq坐标系的多相异步电机的通用数学模型,并针对不同应用场合给出了该通用模型的优化准则。该模型在建立时考虑了定、转子产生的所有谐波磁场,具有通用性,通过有针对性的优化,结合傅里叶分解及对称分量法,所提模型不仅可以方便地对谐波注入、不对称供电、方波供电等供电方式下的多相异步电机进行仿真分析,而且还可以用于研究某些特定谐波对电机性能的影响。最后,针对一台方波电压供电的9相异步电机进行了仿真分析和实验验证,通过仿真结果与样机实验数据的对比,证明了所提模型的正确性和有效性。

英文摘要：

Models of multiphase induction machines （MPIM） under the natural reference frame are complicated due to the coupling, therefore, analysis of MPIM is difficult when using these models. A general model of MPIM under a multi-dimension dq reference frame which consists of several orthogonal dq-planes was presented： expressions for the parameters calculation of MPIM taking account of all space harmonics were derived; a special real matrix was found to diagonalize these parameters, and a transmission based on this matrix was established accordingly to transform variables to this multi-dimension dq reference frame. This model is simple and easy to use because of the elimination of coupling between different stator phases and the one between different rotor loops. It is suitable for analyzing MPIM supplied by different kind of sources, like asymmetrical supplies, harmonic injection, square voltages, etc. The optimization method of this model for different applications was given. Simulation and experimental results of a 9-phase MPIM under square voltage source show great agreement with each other, which verifies the validity of the proposed model and its optimization method.