Analytical approach to electric circuits containing saturating ferromagnetic coils

Author

Wang, Xi-Fan ; Wang, Xiu-Li ; Wang, Jian-Hua

Author_Institution

Xian Jiaotong univ., China

Volume

15

Issue

2

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

697

Lastpage

703

Abstract

The electric circuit including saturating ferromagnetic coils is a typical nonlinear electric circuit. Its performance can be described by a mathematical model consisting of two parts. One is a linear differential equation system, the other is a nonlinear algebraic equation system. This paper developed an efficient approach for solving the steady state of such nonlinear electric circuits. The related algorithm has been successfully employed in computer simulation for different nonlinear circuits. The results of numerical examples demonstrate that the approach is both efficient and precise

Keywords

Jacobian matrices; circuit analysis computing; coils; ferromagnetism; frequency multipliers; linear differential equations; nonlinear equations; nonlinear network analysis; Jacobian matrix; computer simulation; electric circuits; equivalent circuit; frequency tripler; linear differential equation system; nonlinear algebraic equation system; nonlinear electric circuit; nonlinear electric circuits; saturating ferromagnetic coils; Coils; Differential algebraic equations; Differential equations; Frequency; Magnetic materials; Mathematical model; Nonlinear circuits; Nonlinear equations; Steady-state; Voltage;

fLanguage

English

Journal_Title

Power Delivery, IEEE Transactions on

Publisher

ieee

ISSN

0885-8977

Type

jour

DOI

10.1109/61.853007

Filename

853007