NDLI: Analytic Approximate Periodic Solutions Based on Harmonic Analysis

Content Provider	IEEE Xplore Digital Library
Author	Bota, C. Caruntu, B. Babescu, M.
Copyright Year	2008
Description	Author affiliation: Dept. of Math., Politeh. Univ. of Timisoara, Timisoara, Romania (Bota, C.; Caruntu, B.)
Abstract	In the present paper we introduce an analytic approximation technique based on harmonic analysis for the solution of differential equations, and we apply this technique in two concrete cases. First we study the differential equation obtained by the law of electromagnetic induction for reluctance motors. The exact analytical solution of this equation can be determined only for a few particular cases. Our paper presents a method which gives a very good approximate analytical solution for the general case, together with its harmonics. Next we use the proposed technique to solve the problem of free oscillations of self-excited systems. While other analytical techniques used to solve this problem, such as perturbation-type methods, yield useful approximations only for small parameter values, the proposed method does not depend on the existence of small parameters in the considered nonlinear equations.
Starting Page	177
Ending Page	182
File Size	296442
Page Count	6
File Format	PDF
ISBN	9780769535234
DOI	10.1109/SYNASC.2008.48
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-09-26
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis current harmonics Nonlinear equations Torque Electromagnetic induction Harmonic analysis Fourier series harmonic analysis Reluctance motors reluctance motor analytic approximate solution Perturbation methods Differential equations Mathematical model
Content Type	Text
Resource Type	Article

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