Title

Transient Stability Analysis Using Symplectic Integrators

Abstract

This paper focuses on the computer solution of fIrst-order ordinary differential equations (swing equations) governing the motion of generator rotors in power systems. We show that swing equations form a Hamiltonian system making it possible for the application of sympletic integration techniques. We investigate the suitability of symplectic integrators for systems. Numerical results show that symplectic integrators compute solutions to the equations ten times faster than the conventional trapezoid method. Symplectic integrators were also found to be globally stable preserving several invariants of the Hamiltonian, thereby, providing better transient stability for power systems. Based on the numerical experiments in this there is ample support for the application of symplectic integrators to power systems.

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

Euler Method; Hamiltonian Systems; Power Systems; Runge-Kutta; Swing Equations; Symplectic Integrators; Trapezoid Method

International Standard Serial Number (ISSN)

1109-2769

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 the World Scientific and Engineering Academy and Society (WSEAS), All rights reserved.

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