University of Mohaghegh Ardabili Journal of Operation and Automation in Power Engineering 2322-4576 9 1 2021 04 01 Optimal Design of FPI^λ D^μ based Stabilizers in Hybrid Multi-Machine Power System Using GWO ‎Algorithm طراحی بهینه پایدارساز FPI^λ D^μدر شبکه‌های هیبرید قدرت چند ماشینه با استفاده از الگوریتم GWO 23 33 894 ‎10.22098/joape.2020.6392.1481‎ EN A. Nateghi Department of Electrical Engineering, Shahid Sattari Aeronautical University, Tehran, Iran H. Shahsavari Department of Electrical Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran Journal Article 2019 08 18 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 ( ) stabilizers are proposed to meliorate small signal stability of a power network connected PV unit. For optimizing the performance of the system,  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  based particle swarm optimization (PSO) algorithm. The superiority of  based GWO on improving small signal stability in the studied system, including large scale PV is shown via time-domain simulations. https://joape.uma.ac.ir/article_894_4980f06474b8037a963c906f941942df.pdf