Stability and Control of Dynamical Systems with Applications

Part of the series Control Engineering pp 271-292

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

  • M. A. Pai
  • , Trong B. Nguyen

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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.