UBC Theses and Dissertations

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UBC Theses and Dissertations

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


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.

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