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

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 pre...

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Main Authors: Nicolae Herişanu, Vasile Marinca
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/465023
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author Nicolae Herişanu
Vasile Marinca
author_facet Nicolae Herişanu
Vasile Marinca
author_sort Nicolae Herişanu
collection DOAJ
description 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.
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publisher Wiley
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spelling doaj-art-542c6017c8b44fd2b926031d8c6f4d962025-02-03T01:22:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/465023465023An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical MachineNicolae Herişanu0Vasile Marinca1Faculty of Mechanical Engineering, “Politehnica” University of Timisoara, M. Viteazu Boulevard, No. 1, 300222 Timisoara, RomaniaFaculty of Mechanical Engineering, “Politehnica” University of Timisoara, M. Viteazu Boulevard, No. 1, 300222 Timisoara, RomaniaWe 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.http://dx.doi.org/10.1155/2012/465023
spellingShingle Nicolae Herişanu
Vasile Marinca
An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
Journal of Applied Mathematics
title An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
title_full An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
title_fullStr An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
title_full_unstemmed An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
title_short An Optimal Approach to Study the Nonlinear Behaviour of a Rotating Electrical Machine
title_sort optimal approach to study the nonlinear behaviour of a rotating electrical machine
url http://dx.doi.org/10.1155/2012/465023
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