应用绕组函数对同步电机电感量的计算

Calculation of the Inductance Parameters of the Salient-Pole Synchronous Machine Based on Winding Function Theory

通常对凸极同步电机磁场的分析和对电感参数的计算是一个比较繁复的过程。然而应用绕组函数理论 ,根据线圈的分布即绕组函数以及气隙磁导系数 ,由定义可推导出能考虑各次空间谐波的电感表达式 ,由表达式导出电机正常运行时的电感参数 ,也可以组成绕组故障时的电感参数。气隙磁场各次谐波分量对电感数值的影响程度不同尤其空间谐波磁场很强的场合。如在定子绕组内部故障情况下 ,气隙电感量的计算必须考虑低次和分数次谐波的影响。对最高次谐波选取的次数也要取得适当 ,才以满足电感参数分析计算精度要求。通过分析对比各次空间谐波磁场的电感参数的简化表达式 ,该方法推导过程及物理概念清晰 ,推导过程简便 ,既可求取电机正常运行时也可求出绕组内部故障时的电感参数 ,具有很大的适应性和方便性。

Generally, it is a more complex process to analyze salient-pole synchronous machine and to calculate its inductance paramctcrs. However, when using winding function theory, and according to the distribution of the winding, i.e. the winding function and magnetic conductance coefficient in air space. The inductance expression can be induced based on the definition, after considering harmonic waves with various order. And using this expression, induction parameters when the motor is in normal running and is out of order can be induced. The componet of harmonic waves with different order in air space magnetic field has different influence on inductance value especially, when that field is strong. If the stator inside winding is out of order, we must consider the influence of the harmonic wave with low orders or fraction orders when calculating the air space inductance values. The selection of harmonic wave with high order must also be appropriate only in this way, we can reach the requirement of the calculating accuracy for the analysis of induction parameters. By comparing and analyzing the simplified expression of induction parameters of with various orders space harmonic wave, we know that the inducing proccss and physic concept of this method is clear, and the inducing process is quite simple. It can seek the induction parameters not only in normal running state but also in fault state inside the winding. It has strong adaptability and convenience.