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Journal of Applied Mathematics
Volume 2012, Article ID 465023, 10 pages
Research Article

An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine

1Faculty of Mechanical Engineering, “Politehnica” University of Timisoara, M. Viteazu Boulevard, No. 1, 300222 Timisoara, Romania
2Center of Advanced Research in Engineering Sciences, Romanian Academy, Timisoara Branch, M. Viteazu Boulevard, No. 24, 300223 Timisoara, Romania

Received 1 August 2012; Accepted 13 September 2012

Academic Editor: Livija Cveticanin

Copyright © 2012 Nicolae Herişanu and Vasile Marinca. 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.


We introduce a novel analytical approximate technique, called Optimal Variational Method (OVM), to investigate the nonlinear behaviour of a rotating electrical machine modelled as an oscillator with cubic elastic restoring force and time variable coefficients. The proposed procedure involves the presence of some initially unknown convergence-control parameters whose values are later optimally determined. Comparisons between the obtained results and exact ones reveal that OVM is very effective and convenient providing highly accurate results.