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Mathematical Problems in Engineering
Volume 2009, Article ID 584637, 18 pages
Research Article

A New Approach to Nonsinusoidal Steady-State Power System Analysis

1Electrical Engineering Department, University of Kashan, 87317-51167 Kashan, Iran
2Laboratoire d'Electrotechnique de Grenoble, INPG/ENSIEG, 46-38402 BP46, Saint Martin d'Hères Cedex, France

Received 17 January 2009; Accepted 16 June 2009

Academic Editor: Mohammad Younis

Copyright © 2009 A. Ketabi et al. 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 new analysis method using wavelet domain for steady-state operating condition of power system is developed and introduced. Based on wavelet-Galerkin theory, the system components such as resistor, inductor, capacitor, transmission lines, and switching devices are modeled in discrete wavelet domain for the purpose of steady-state analysis. To solve system equations, they are transferred to wavelet domain by forming algebraic matrix-vector relations using the wavelet transform coefficients and the equivalent circuit is thus built for system simulation. After describing the new algorithm, two-case studies are presented and compared with the simulations in the time domain to verify the accuracy and computational performance.