A STATCOM controller for small signal stability using polynomial algorithms in a horizontal axis wind farm power system

This paper investigates three polynomial strategies in damping oscillations in a horizontal axis turbine plant power systems, to demonstrate the influence of the introduction of the STATCOM in the power system, a comparative study is implemented using various polynomial algorithm control approaches to a horizontal wind axis turbine power system incooperating a static synchronous compensator (STATCOM). The proposed controllers' designs are based on a linear time invariant model of the plant and state feedback scheme. First, the linearized mathematical model of STATCOM is derived. Then, using polynomial algorithms as a state feedback algorithm, a state feedback control law is derived. The proposed control strategy is tested on SMIB power system with wind turbine by digital computer simulations using matlab/simulink and a power analysis toolbox. Comparison of the polynomial matching results of the controllers establishes the superb nature of polynomial approximation approach.