Optimal Design of 𝑭𝑷𝑰𝝀𝑫𝝁 based Stabilizers in Hybrid Multi-Machine Power System Using GWO Algorithm

In this paper, the theory and modeling of large scale photovoltaic (PV) in the power grid and its effect on power system stability are studied. In this work, the basic module, small signal modeling and mathematical analysis of the large scale PV jointed multi-machine are demonstrated. The principal portion of the paper is to reduce the low frequency fluctuations by tuned stabilizer in the attendance of the PV unit. In order to optimize the system performance, a novel optimal fuzzy based fractional order PID (𝐹𝑃𝐼𝜆𝐷𝜇) stabilizers are proposed to meliorate small signal stability of a power network connected PV unit. For optimizing the performance of the system, 𝐹𝑃𝐼𝜆𝐷𝜇 is exploited by Gray Wolf Optimization (GWO) algorithm. In order of evaluation of the proposed stabilizers performance, two different types of controllers are compared, include optimal classic stabilizer and 𝐹𝑃𝐼𝜆𝐷𝜇 based particle swarm optimization (PSO) algorithm. The superiority of 𝐹𝑃𝐼𝜆𝐷𝜇 based GWO on improving small signal stability in the studied system, including large scale PV is shown via time-domain simulations.