电磁场有限元计算中牛顿—拉夫森法的一种改进  

An Improved Newton-Ranphson Algorithm in Finite Element Analysis of Magnetic Fields

作　　者：李红柳[1] 谢国栋[2] 

机构地区：[1]上海电力学院 [2]上海工业大学

出　　处：《电工技术学报》1989年第4期16-18,共3页Transactions of China Electrotechnical Society

摘　　要：本文对电磁场有限元计算中解非线性方程组的牛顿—拉夫森法提出了一种改进算法。与原牛顿—拉夫森法和修正的牛顿—拉夫森法相比,这种算法能节约计算机的 CPU 时间,且不会增加新的数值误差。本文通过对一实际电机的非线性恒定磁场的有限元计算表明,这种方怯比牛顿—拉夫森法节约 CPU 时间约27%,比修正的牛顿—拉夫森法节约 CPU 时间约24%。An improved Newton-Raphson algorithm for solving nonlinear simultaneous equa- tions in finite element analysis of magnetic tields is presented.The new method red- uces the computational(CPU)time required to carry out a finite element magnetic field analysis in saturated electrical machines by up to about 27% of typical CPU times required by present state of the art methods.It is found that practically no numerical errors are introduced as a result of this improved Newton-Raphson process.In order to illustrate practical use of the new method,the improved alg orithm is applied to the problem of field determination in a 120VA filer-type moto- rcycle permanent magnet generator.

关 键 词：电磁场 有限元计算 牛顿-拉夫森 

分 类 号：TM153.1[电气工程—电工理论与新技术]