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Dynamic Security Analysis of Electric Power Systems: Passivity-Based Approach and Positive Invariance Approach

[+] Author Affiliations
Qing Hui

Texas Tech University, Lubbock, TX

Jinglai Shen

University of Maryland Baltimore County, Baltimore, MD

Wei Qiao

University of Nebraska-Lincoln, Lincoln, NE

Paper No. DSCC2010-4111, pp. 193-200; 8 pages
  • ASME 2010 Dynamic Systems and Control Conference
  • ASME 2010 Dynamic Systems and Control Conference, Volume 2
  • Cambridge, Massachusetts, USA, September 12–15, 2010
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-4418-2 | eISBN: 978-0-7918-3884-6
  • Copyright © 2010 by ASME


Security is a critical issue in modern power system operation. With the aid of analytic tools for large-scale and hybrid systems, this paper proposes two new safety verification methods for power systems. The first method is based on barrier certificates and passivity. This method provides a general safety verification framework for power systems with the port-Hamiltonian structure. The energy shaping technique is also exploited to attain safety conditions for controlled port-Hamiltonian systems. The second method, based on positive invariance, yields exact safety verification for power systems based on linearized models, particularly linear Hamiltonian systems. Decidability of exact safety verification is established via algebraic and positive invariance approaches; other analytic and numerical issues are addressed from the positive invariance perspective.

Copyright © 2010 by ASME



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