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Symbolic Reduction for High-Speed Power System Simulation
  • William M. Siever
  • Daniel R. Tauritz, Missouri University of Science and Technology
  • Ann K. Miller, Missouri University of Science and Technology
  • Bruce M. McMillin, Missouri University of Science and Technology
  • Stan Atcitty
  • Mariesa Crow, Missouri University of Science and Technology

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.

Computer Science
Second Department
Electrical and Computer Engineering
Lockheed Martin Corporation
National Science Foundation (U.S.)
Sandia Laboratories
United States. Department of Energy
Keywords and Phrases
  • Automatic Programming,
  • Nonlinear Differential Equations,
  • Power System Transient Stability,
  • Program Compilers,
  • Real Time Systems,
  • Symbol Manipulation
Document Type
Article - Journal
Document Version
File Type
© 2007 Society for Modeling and Simulation International, All rights reserved.
Publication Date
Citation Information
William M. Siever, Daniel R. Tauritz, Ann K. Miller, Bruce M. McMillin, et al.. "Symbolic Reduction for High-Speed Power System Simulation" SIMULATION Vol. 84 Iss. 6 (2008) p. 297 - 309 ISSN: 0037-5497
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