为了深入研究笼型转子无刷双馈电机(brushless doubly-fed machine，BDFM)的稳态特性，从耦合电路出发，给出了BDFM的基本方程式，进而分析并得到了BDFM电流、有功功率、无功功率、电磁转矩和功率因数的数学模型。在此基础上，通过Matlab对1台样机进行了仿真，获得了BDFM的矩角特性、矩频特性、功角特性、无功特性、功率因数特性和V形曲线，并利用数学模型分析了BDFM的能量转换。结果表明：BDFM的各种稳态特性均可表示为控制绕组电压、频率和功角这3个变量的函数，所提出的模型简化了BDFM稳态特性的分析方法，为进一步研究BDFM的稳定性和控制策略奠定了理论基础。

To further study the steady-state characteristics of brushless doubly-fed machine(BDFM) with squirrel-rotor，the basic equations are given according to the coupling circuits of BDFM. And then，the mathematical models of BDFM current，active power，reactive power，electromagnetic torque and power factor are analyzed and derived respectively. Furthermore，the characteristics of torque-angle，torque-frequency，power-angle，reactive power，power factor and V-shaped curve of BDFM are obtained respectively by MATLAB simulation of a prototype. The energy conversion of BDFM is analyzed by the proposed mathematical models at the same time. The results show that all the steady-state characteristics of BDFM can be expressed as the functions of the control windings voltage，frequency and the power angle. The proposed model simplifies the analysis of the steady-state characteristics of BDFM and provides a theoretical foundation for the further study on operating stability and control strategy of BDFM.

输配电装备及系统安全与新技术国家重点实验室自主研究项目（2007DA10512709203）