Doctoral Dissertations
Reduction of model dimension in nonlinear finite element approximations of electromechanical systems
Abstract
"A method to reduce the order of finite element based models of electromechanical components is presented. The development begins by expressing Maxwell's equations in differential form to establish a wave equation for an electromechanical device. A finite-element method is used to express the solution of the wave equation in the form of an ordinary differential equation. A preliminary reduction technique that has been documented in existing literature is applied to eliminate linearly dependent states and incorporate winding flux linkage as a state variable. This preliminary reduction eliminates all nodes that are located outside of iron core regions (i.e. only regions in which eddy current exist are preserved). Finally, using the technique proposed, a full FE model (with the preliminary reduction applied) is transformed into a user specified (or error determined) reduced order system using Empirical Eigenvectors (EE)"--Abstract, page iii.
Department(s)
Electrical and Computer Engineering
Degree Name
Ph. D. in Electrical Engineering
Publisher
University of Missouri--Rolla
Publication Date
Summer 2004
Pagination
xiv, 164 pages
Note about bibliography
Includes bibliographical references (pages 161-163).
Rights
© 2004 Scott Patrick Rutenkroger, All rights reserved.
Document Type
Dissertation - Citation
File Type
text
Language
English
Subject Headings
Eigenvectors
Eigenvalues
Electromechanical devices
Finite element method
Mathematical models
Thesis Number
T 8550
Print OCLC #
62162460
Link to Catalog Record
Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.
http://merlin.lib.umsystem.edu/record=b5380044~S5Recommended Citation
Rutenkroger, Scott Patrick, "Reduction of model dimension in nonlinear finite element approximations of electromechanical systems" (2004). Doctoral Dissertations. 1581.
https://scholarsmine.mst.edu/doctoral_dissertations/1581
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