Super-capacitors (SCs) are significant because of their unique characteristics, which include long cycle life, high strength, and environmental friendliness. SCs use electrode substances with high specific surface area and thinner dielectrics. Referring to the energy storage mechanism, all kinds of SCs were reviewed in this review paper; a quick synopsis of the materials and technology used for SCs is provided. Materials such as conducting polymers, carbon materials, metal oxides, and their composites are the main focus. The performance of the composites was evaluated using metrics such as energy, cycle performance, power capacitance, and rate capability, which also provides information on the electrolyte materials. To precisely appraise the state of Charge (SoC) in the super SCs cell module, its identical model o is used. It is expected that this model will accurately capture the features of the cell module, specifically its standing-related self-discharge behavior, and the outcomes of parameter identification directly impact its accuracy. Engine downsizing is a result of the requirement to increase fuel efficiency and lower CO2 and other hazardous pollutant emissions from internal combustion engine cars. However, smaller turbocharged engines have a relatively poor torque capability at low engine speeds. To solve this issue, an electrical torque boost based on SCs may be used to help recover energy during regenerative braking as well as during acceleration and gear changes.