A new preconditioning technique for large real sparse symmetric linear systems in electromagnetic field analysis

Author

Jinming, Wang ; Dexin, Xie ; Yingying, Yao

Author_Institution

Shenyang Univ. of Technol., China

Volume

2

fYear

2001

fDate

37104

Firstpage

1077

Abstract

A new preconditioned conjugate gradient method for solution of large real sparse symmetric linear equations in 3D-electromagnetic field analysis is presented. Three relaxation factors are used to reduce the computation time of each iterative step of the conjugate gradient method and improve the rate of convergence. Numerical examples show that the method is problem-independent in a certain extent, and could decrease the computation time over 50% than the conventional method

Keywords

conjugate gradient methods; convergence of numerical methods; eddy currents; electromagnetic field theory; finite element analysis; power transformers; 240 MVA; 500 kV; conjugate gradient method; eddy current field; electromagnetic field analysis; finite element analysis; iterative step; numerical technique; preconditioning technique; problem-independent; real sparse symmetric linear systems; relaxation factors; single-phase transformer; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Gradient methods; Linear systems; Matrix decomposition; Microwave integrated circuits; Nonlinear equations; Sparse matrices; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Machines and Systems, 2001. ICEMS 2001. Proceedings of the Fifth International Conference on

Conference_Location

Shenyang

Print_ISBN

7-5062-5115-9

Type

conf

DOI

10.1109/ICEMS.2001.971864

Filename

971864