Reduction of model dimension in nonlinear finite element approximations of electromechanical systems

Author

Scott Patrick Rutenkroger

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

EigenvectorsEigenvaluesElectromechanical devicesFinite element methodMathematical models

Thesis Number

T 8550

Print OCLC #

62162460

Recommended 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