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Z. Naturforsch. 67a, 509 – 516
(2012)
doi:10.5560/ZNA.2012-0047
Optimal Homotopy Perturbation Method for a Non-Conservative Dynamical System of a Rotating Electrical Machine
1 Polytechnical University of Timişoara, Bd. Mihai Viteazu, no. 1, 300222 Timişoara, Romania
2 Center for Advanced and Fundamental Technical Research, Romanian Academy, Timişoara Branch, Bd. M. Viteazu, no. 24, 300223 Timişoara, Romania
Received January 23, 2012 / revised May 21, 2012 / published online August 2, 2012
Reprint requests to: V. M.; Tel./Fax: +40-256-403629, E-mail:
vmarinca@mec.upt.ro
A version of the optimal homotopy perturbation method (OHPM) is applied in this study to derive highly accurate analytical expressions for the solutions to a non-conservative dynamical system of a rotating electrical machine. The main advantage of this procedure consists of providing us with a convenient and rigorous way to control the approximate solutions by means of some initially unknown parameters which are optimally determined later. Comparisons with numerical results reveal an excellent agreement, which demonstrates the effectiveness of the proposed method in analyzing non-conservative oscillators.
Key words: Optimal Homotopy Perturbation Method (OHPM) ; Rotating Electrical Machine; Differential Equation with Variable Coefficients.