摘要
分析交流同步电机内部故障时,通常以单个线圈或线圈组为单位列写电机的数学模型,因此计算时需要求解复杂的时变系数矩阵微分方程。该文以绕组单个线圈电感表达式的分析为基础,结合电机定子线圈的空间分布,得到了同步电机电感矩阵的对称结构。通过分析这种对称结构,文中尝试构造了一个变换矩阵。通过变换矩阵的作用,可以将时变的电感矩阵转变为常系数矩阵,从而大大方便电机内部故障的仿真计算。文中还给出了各个互感矩阵的变换结果,然后举例说明了电机电感矩阵与系统电流电压方程的联接方法,并解释了仿真分析步骤。通过分析和计算进一步提出,在继电保护的整定计算等应用中,可以适当简化电感系数的求解,便于仿真方法的工程应用,并给出了简化前后的仿真结果。
When the synchronous machine internal faults are analyzed, the mathematical model based on single statorcoils inductance is commonly used,this means solving very complex timevarying parameter matrix functions. Under theanalyzing of inductance parameters of synchronous machinesingle stator coils, the paper brings forward the symmetrystr-uctures of synchronous machine inductance matrices based on single stator coils inductance. Then a kind of matrixtrans-forming method is proposed. By this transformation, the inductance matrices with timevarying parameters can bechang-ed into a constant parameter one,which make thecalculation and analysis of synchronous machine internal faultmore con-venient. Then illustrate how to join the inductance matrix eq-uations with the system current and voltageequations, and explain the emulating analyze process. Undercertain condition, the matrices can be predigested to make it more expedients for technical application. The validity of this short-cut method is proved by emulation results.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第6期89-95,共7页
Proceedings of the CSEE
关键词
同步电机
电感矩阵
仿真
交流电机
synchronous machine
inductance matrix
matrix transformation
