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Method of estimating the region of attraction for a system with many nonlinearities. Foster, William Robert

Abstract

A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then applying the projected gradient method to determine the exact solution. A three machine power system example is included to illustrate the application.

Item Metadata

Title
Method of estimating the region of attraction for a system with many nonlinearities.
Creator
Foster, William Robert
Publisher
University of British Columbia
Date Issued
1971
Description
A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then applying the projected gradient method to determine the exact solution. A three machine power system example is included to illustrate the application.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2011-05-04
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0093263
URI
http://hdl.handle.net/2429/34265
Degree (Theses)
Master of Applied Science - MASc
Program (Theses)
Electrical and Computer Engineering
Affiliation
Applied Science, Faculty of; Electrical Engineering, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.