Abstract: A vehicular power system for powering a parallel hybrid vehicle having an internal combustion engine, electric motor/generator, ESD source, and an inverter includes a set of demand parameters for controlling the amount of flow of current between the ESD source and the electric motor/generator. The demand parameters are utilized by the inverter for controlling this current. A set of limiting parameters which indicate that the application of full demand would jeopardize the operational environment or is unwarranted by utilizing the limit of full demand. The demand parameters control the amount of current to the electric motor/generator from the ESD during an electric motor/generator assist mode and from the electric motor/generator to the ESD when the battery is acting as a generator for recharging the ESD. Additionally, a plurality of demand parameters may exist providing options for manipulating the control of the electric motor/generator depending upon the operating environment of the vehicle.