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一种多相异步电机的通用数学模型

DOI: 10.13334/j.0258-8013.pcsee.2015.15.023, PP. 3929-3938

Keywords: 多相异步电机,数学模型,dq坐标系,空间谐波,优化方法

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Abstract:

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。

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