This report provides a detailed analysis of hybrid and electric vehicles powered by batteries. It explores the integration of electric motors and internal combustion engines to maximize fuel economy and minimize carbon emissions. The report covers the combination of energy storage systems, electric motors, and propulsion systems in hybrid vehicles. It discusses the complex mechanical and electrical components, including modern control methodologies, that influence vehicle performance. The document examines preliminary designs, detailed designs, and development aspects, including energy storage systems, transmissions, electric motors, and electronic power modules. The report also highlights the importance of advanced control strategies to optimize performance and minimize emissions, considering factors like energy flow, temperature, and motor dynamics. The study emphasizes the role of these vehicles in reducing greenhouse gas emissions and offers insights into the potential of this technology for sustainable transportation.