Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications
 M. A. Pai,
 Trong B. Nguyen
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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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 Title
 Trajectory Sensitivity Theory in Nonlinear Dynamical Systems: Some Power System Applications
 Book Title
 Stability and Control of Dynamical Systems with Applications
 Book Subtitle
 A Tribute to Anthony N. Michel
 Book Part
 Part III
 Pages
 pp 271292
 Copyright
 2003
 DOI
 10.1007/9781461200376_14
 Print ISBN
 9781461265832
 Online ISBN
 9781461200376
 Series Title
 Control Engineering
 Publisher
 Birkhäuser Boston
 Copyright Holder
 Birkhäuser Boston
 Additional Links
 Topics
 Industry Sectors
 eBook Packages
 Editors

 Derong Liu ^{(2)}
 Panos J. Antsaklis ^{(3)}
 Editor Affiliations

 2. Department of Electrical and Computer Engineering, University of Illinois at Chicago
 3. Department of Electrical Engineering, University of Notre Dame
 Authors
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