Mathematical Modeling and Stability Analysis of an Electric Propulsion System with Energy Recovery Mechanism

Abstract

Electric propulsion systems have revolutionized transportation by increas ing efficiency, energy efficiency, and environmental sustainability. In this study, we analyze a propulsion system comprised of a DC motor, a battery pack, and a su percapacitor pack, which are integrated through bidirectional and boost converters. In order to characterize the interaction among these components, a mathematical model is developed that incorporates both electrical and mechanical dynamics. An equilibrium point is used to evaluate the response of a system to perturbations, while a Jacobian matrix is used to evaluate its response to changes. An analysis of the eigenvalues and Bode plots of the proposed system is carried out to evaluate its sta bility and efficiency. These findings provide valuable insights into optimizing energy transfer, improving power management, and ensuring reliable performance in electric vehicle applications. As a result of this research, advanced propulsion systems will be developed, leading to innovation in sustainable energy solutions.