SHO Algorithm-Based Fuzzy-Aided PID Controller for AGC Study

Abstract

This paper articulates automatic generation control (AGC) of a three-area multi-unit power system by proposing a fuzzy-aided PID controller incorporated with filter (FPIDF). An inexhaustible photovoltaic (PV) source is injected in the first area of the recommended conventional power system. The challenges arise due to the PV source; a sturdy secondary controller is quintessential. An optimal FPIDF controller is designed by applying a new algorithm named as selfish herd optimization algorithm. To demonstrate the validity of the proposed controller, the transient response evaluated by FPIDF is compared with the PID controller. Further, the robustness is examined by forcing a random step load in area-1.

Appendix

$K_{{{\text{ps}}1}} = K_{{{\text{ps}}2}} = K_{{{\text{ps}}3}} = 100\,{\text{Hz/puMW}}$, $T_{{{\text{ps}}1}} = T_{{{\text{ps}}2}} = T_{{{\text{ps}}3}} = 20\,{\text{s}}$, $T_{{{\text{G}}1}} = T_{{{\text{G}}2}} = T_{{{\text{G}}3}} = 0.08\,{\text{s}}$, $T_{{{\text{T}}1}} = T_{{{\text{T}}2}} = T_{{{\text{T}}3}} = 0.3\,{\text{s}}$, $R_{1} = 2\,{\text{Hz/puMW}}$, $R_{2} = 2.4\,{\text{Hz/puMW}}$, $R_{3} = R_{5} = R_{6} = R_{1}$, $B_{1} = B_{2} = B_{3} = 0.425\,{\text{puMW/H}}z$, $T_{12} = T_{23} = T_{31} = 0.0707\,{\text{puMW/rad}}$

$T_{\text{RH}} = 48.7\,{\text{s}}$, $T_{{{\text{R}}1}} = T_{{{\text{R}}2}} = 5\,{\text{s}}$, $T_{\text{GH}} = 0.513\,{\text{s}}$, $T_{\text{w}} = 1\,{\text{s}}$, $k_{{{\text{r}}1}} = k_{{{\text{r}}2}} = k_{{{\text{r}}3}} = 1$, $T_{{{\text{r}}1}} = T_{{{\text{r}}2}} = T_{{{\text{r}}3}} = 5\,{\text{s}}$

$K_{\text{PV}} = 1$, $T_{\text{PV}} = 1.8\,{\text{s}}$, $X_{g} = 0.6$, $Y_{g} = 1$, $B_{g} = 0.05$, $C_{g} = 1$, $T_{\text{fr}} = 0.23$, $T_{\text{cr}} = 0.01$, $T_{\text{cd}} = 0.2$.