The article describes the main drive control strategy of the hybrid vehicle, analyzed the efficiency of their use based on the amount of stored energy during recovery. Since the battery is the main element of the hybrid vehicles drives, it was found that its performance is affected on the choice of control strategy. Creating a mathematical model of the battery - it is one of the key objectives during the development of control laws and choice of components. The model of a galvanic battery is represented. The model is based on the equations that are suitable to simulate different types of batteries by using appropriate coefficients. Model can be used as a tool to calculate the characteristics of the electric vehicle, for example to calculate the potential fuel economy and test the effectiveness of the state-of-charge management strategies. A method for calculation of the equations coefficients is described.