同步电机场路耦合端点量迭代新算法  

A Novel Field-circuit Coupling Iterative Algorithm for Terminal Quantities of Synchronous Motor

作　　者：晁晖[1] 李志强[1] 罗应立[2] 刘晓芳[2] 赵海森[2] 

机构地区：[1]中国电力科学研究院,北京市海淀区100085 [2]华北电力大学电气与电子工程学院,北京市昌平区102206

出　　处：《中国电机工程学报》2009年第30期63-69,共7页Proceedings of the CSEE

基　　金：国家自然科学基金项目(50677019)~~

摘　　要：利用稳态有限元法研究同步发电机非线性特征问题时,不可避免会遇到端点量的迭代。传统的端点量迭代法与磁场非线性迭代之间存在一种复杂的嵌套关系,这使得端点量迭代效率较低且大功角稳态工况下收敛困难。为此,以汽轮发电机为例,建立了包含磁场方程与外部电路方程的场路耦合非线性方程组。利用牛拉法对方程组求解,实现了磁场非线性迭代和端点量迭代的统一,使迭代次数大幅减少。实例计算表明,场路耦合端点量迭代法能改善大功角稳态工况下算法的收敛性,并使计算时间缩短了80%以上。In the study of nonlinear characteristics ot a synchronous generator with finite element method （FEM）, iterations of terminal quantities are always inevitable. Traditional iterative method of terminal quantities has a complex nested relationship with the nonlinear magnetic field iterations, experiencing inefficiency and difficulties in converging under low efficiency and large power angle conditions. Taking the turbo-generator as an example, a nonlinear system of equations coupling the magnetic field and external circuits was established in this paper. The system was solved by the Newton-Raphson method. The iterations of the nonlinear magnetic field and terminal quantities were synchronized, so the number of iteration steps can be greatly reduced. Practical calculation shows that the proposed method can improve the convergence under large power angle conditions and also reduce the computing time by more than 80 percent.

关 键 词：有限元法 同步电机 端点量迭代 场路耦合 

分 类 号：TM311[电气工程—电机]