Designed of Robust FLPSS Using HOPF Bifurcations

Abstract

In this chapter, the design of a novel Fuzzy Power System Stabilizer is presented  to improve the stability of power system. The interconnected power system is often referred to as the largest and most complex machine ever built by humankind. This may be hyperbole, but it does emphasize an inherent truth: there is a complex interdependency between different parts of the system. The electrical power system is a complicated interconnection of elements that includes non-linear elements, electrical parts, and mechanical parts. When the eigenvalues of a power system shift to the right side of the s-plane, the system becomes unstable. The presence of imaginary eigenvalues indicates the point at which the system eigenvalues move from the left to the right side of the s-plane. This is referred to as a saddle node bifurcation or a Holp'f bifurcation. In this scenario, the power system produces undamped oscillations. This condition is utilized to tune stabilizers effectively. Conventional Power System Stabilizer (CPSS) parameters are tuned to stabilize the power system. The lack of robustness of CPSS has gained interest towards the development of new power system stabilizers for improving the stability of power system over wide range of operating condition. This loading is taken for effectively tuning conventional power system stabilizer. The power system stabilizer tuned for this loading condition will work effectively wide range of operating conditions. In this chapter a Fuzzy PID stabilizer is presented to improve the stability of power system. To accomplish the best damping characteristics deviation in speed (\(\Delta\omega\)), deviation of speed derivative (\(\Delta\dot{\omega}\)) and power angle (\(\Delta\delta\)) are taken as input to type-2 fuzzy logic controller. The small signal model of power system uses the proposed controller. The suggested controller's performance is evaluated under various operational circumstances. Convectional Power System Stabilizer is used to compare the effectiveness of the suggested controller.