Choice of Optimal Proportional-Integral (PI) Controller Gains

This research project extensively investigates the process of selecting the most suitable gains for a Proportional-Integral (PI) controller to effectively manage a Buck-Boost Converter powered by a Photovoltaic (PV) Array. The rationale behind choosing a Buck-Boost Converter for this application is its capability to regulate the PV array's output voltage dynamically. The research methodology employs the state-space averaging method to derive the transfer function of the Buck-Boost converter. The mathematical model of the dynamic system is validated using MATLAB/Simulation software for analysis enabling the derivation of the appropriate transfer function. To determine the optimal gains for the PI controller the Particle Swarm Optimization (PSO) algorithm is employed which has demonstrated its effectiveness and reliability in recent times. A MATLAB script is developed for PSO which is utilized to obtain the suitable values of kp and ki.