Symbolic Reduction for High-Speed Power System Simulation
High speed simulations of power transmission systems, which often rely on solving linear systems of equations, are an increasingly important tool for training, testing equipment, on-line control, and situational awareness. Such simulations, however, suffer from two major problems: 1) they can be too computationally demanding to simulate large, complex systems within appropriate time constraints, and 2) they are difficult to develop and debug. Prior work has shown how computer algebra systems and symbolic computation can be used to help reduce both problems. In this paper, we 1) review common concepts in power system simulations, 2) summarize prior use of symbolic computation in power system simulation, 3) explore the advantages and disadvantages achieved via symbolic techniques, 4) extend the techniques to solve linear systems via a priori symbolic LU decomposition, and 5) demonstrate the advantages of symbolic techniques on a transient event simulation of the IEEE 118-bus test system, which runs in one tenth the time of an equivalent traditional (sparse matrix) approach.
W. M. Siever et al., "Symbolic Reduction for High-Speed Power System Simulation," SIMULATION, vol. 84, no. 6, pp. 297 - 309, Society for Modeling and Simulation International, Jun 2008.
The definitive version is available at https://doi.org/10.1177/0037549708094046
Electrical and Computer Engineering
Lockheed Martin Corporation
National Science Foundation (U.S.)
United States. Department of Energy
Keywords and Phrases
Automatic Programming; Nonlinear Differential Equations; Power System Transient Stability; Program Compilers; Real Time Systems; Symbol Manipulation
International Standard Serial Number (ISSN)
Article - Journal
© 2007 Society for Modeling and Simulation International, All rights reserved.
01 Jun 2008