中文摘要：

在阐述绕线转子无刷双馈电机的定子绕组、转子绕组结构和静止a-b-c轴数学模型的基础上，推导出电机的d-g轴数学模型。这种电机模型建立在一个任意d-q轴坐标系下，使用起来方便，消除定子绕组和转子绕组之间互感矩阵的时变系数，缩短计算时间，有利于控制方法的实现，适用于绕线转子无刷双馈电机动态和稳态性能的分析研究。d-q轴数学模型的参数能根据电机的设计几何尺寸和经验公式得到。通过仿真分析结果和实验数据的对比，验证了任意d-q轴数学模型的正确性。绕线转子无刷双馈电机任意d-q轴数学模型的建立为电机性能分析和控制策略的研究奠定基础。

英文摘要：

Based on the introduction of the stator winding, rotor winding structures and mathematical mod-el under a-b-c axis stationary reference frame of wound-rotor brushless doubly-fed machine （ BDFM） , the mathematical model of the machine under d-q axis reference frame was proposed. This model was built under arbitrary d-q axis reference frame and convenient for use, time-varying coefficient of the mu-tual inductance matrices between stator winding and rotor winding was eliminated, computational cost was reduced, facilitates future research on the control strategies, and studying and analyzing the machine per-formance in both dynamic and steady-state conditions were applied. The machine parameters can be cal-culated from the design geometry and empirical formula of the machine. Simulation analysis results and experimental data were presented to show the validity of the mathematical model under arbitrary d-q axis reference frame. The establishment of the mathematical model under arbitrary d-q axis reference frame provides the foundation for the study of the performance analysis and control strategy of the machine.