Stability Analysis of Photovoltaic Powered Induction Motor Driven Water Pumping System by Using Small Signal Analysis

Induction motor driven water pumping systems especially powered by Photovoltaic (PV) systems are gaining popularity in various places. The system, which operates without the need for any storage device, can result in a reduction in overall costs. Adequate energy management necessitates the implementation of a successful control method to maintain power equilibrium within the system. A thorough analysis of the small signal method is essential for enhancing the performance parameters of the controllers employed within the proposed model. The water pumping system powered by solar energy, utilizing an induction motor controlled by a vector control technique, is converted to a linear model from a non-linear model to facilitate the analysis of the system's dynamic characteristics. This document examines the parameter design for two <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$PI$</tex> controllers employed in regulating the dc-link voltage of PV systems and the speed of motor. The focus is directed towards the transfer function obtained from the linear model for this purpose. By using MATLAB platform, various responses of the small signal function are illustrated in this document, with variations in the reference voltage signal at the dc-link, In addition to this, detailed mathematical examination is presented in a sequential format to improve the analytical process.