Numerical study of optimized fractional-order controller for chaos controlof nonlinear dynamical power system

摘要

Nonlinear dynamical system exhibit bifurcation, chaos, and instability due to initial conditions andrnparametric variation. The power system is also nonlinear dynamical system, which exhibits thesernbehaviors due to different initial operating conditions and uncertain variation in parameter like reactivernpower load demand. The fractional-order controller is introduced as the better choice for several controlrnsystems as compared to conventional proportional-integral-derivative controllers owing to its merits. Thisrnpaper proposes a first ever numerical study of novel use of optimized fractional-order controller for controlrnof chaos in power system. This paper discusses the steps to optimize the order of fractional controller. Thernrole of fractional-order controller is to inject or withdraw the precise amount of reactive power to controlrnchaotic nature of voltage. The proposed controller will perturb the dynamics of the nonlinear power systemrnand push it to nonchaotic and bounded stable state because of precise state feedback control. Precisernperturbation in reactive-power value inhibits voltage bifurcation point, chaos, and instability thereafter.rnFourth order benchmark model of the power system is used as a case study in the paper.