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Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications

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Book cover Stability and Control of Dynamical Systems with Applications

Part of the book series: Control Engineering ((CONTRENGIN))

Abstract

Trajectory sensitivity analysis (TSA) has been applied in control system problems for a long time in such areas as optimization and adaptive control. Applications in power systems in conjunction with Lyapunov/transient energy functions first appeared in the 1980s. More recently, TSA has found applications on its own by defining a suitable metric on the trajectory sensitivities with respect to the parameters of interest. In this chapter we present theoretical as well as practical applications of TSA for dynamic security applications in power systems. We also discuss the technique to compute critical values of any parameter that induces stability in the system using trajectory sensitivities.

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Authors
  1. M. A. Pai
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  2. Trong B. Nguyen
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, Illinois, 60607, USA

    Derong Liu

  2. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Panos J. Antsaklis

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© 2003 Springer Science+Business Media New York

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Pai, M.A., Nguyen, T.B. (2003). Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications. In: Liu, D., Antsaklis, P.J. (eds) Stability and Control of Dynamical Systems with Applications. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0037-6_14

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  • DOI: https://doi.org/10.1007/978-1-4612-0037-6_14

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6583-2

  • Online ISBN: 978-1-4612-0037-6

  • eBook Packages: Springer Book Archive

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