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.
Recommended Citation
D. Okunbor et al., "Transient Stability Analysis Using Symplectic Integrators," WSEAS Transactions on Mathematics, vol. 3, no. 3, pp. 595 - 601, The World Scientific and Engineering Academy and Society (WSEAS), Jul 2004.
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.
Publication Date
01 Jul 2004
