UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

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 Media

Item Citations and Data

License

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.

Usage Statistics