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Mathematical Problems in Engineering
Volume 2011, Article ID 479626, 11 pages
Research Article

An Efficient Algorithm for Transient Calculation of the Electric Networks Including Magnetizing Branches

School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China

Received 30 July 2010; Revised 22 January 2011; Accepted 10 March 2011

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2011 Xiaoqing Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A simplified model of magnetic saturation characteristics is proposed in this paper for transient calculation of the electric networks including magnetizing branches. The model represents the magnetic saturation characteristics by the continuous function instead of the piecewise linear approximation. Based on the proposed model, an efficient transient algorithm is developed. The nonlinear differential equations describing the transient behavior of the magnetizing branches are solved by the semiexplicit Runge-Kutta method, in which noniterative computations are involved. The transient calculation for the remaining linear network is performed in terms of the solution to the magnetizing branches. A comparison is made between calculated and experimental results to confirm the validity of the algorithm.