NOVELTY - The system (142) has a cooling device for cooling a battery (114) and a control device (130) that is programmed to operate the device according to each series of measured temperature of the battery that are based on heat generation, stored heat energy, and heat transfer rate assigned with the battery such that the series forms measured temperature waveform that temporally leads measured temperature waveform of the battery. The heat generation rate is based on power of battery and open circuit voltage as a function of state of charge of battery.    USE - Battery cooling system of vehicle (claimed) such as battery-electric vehicles (BEVs), plug-in hybrid electric vehicles (PHEVs), mild hybrid electrical vehicles (MHEVs), or full hybrid-electric vehicles (FHEVs).    ADVANTAGE - Since the change of stored heat energy and electrical power in battery pack is predicted, the internal cell temperature of the battery is predicted without the use of temperature sensors. Since the temperature is predicted, the temperature control around the battery is performed efficiently, hence service life of the battery is prolonged and size of cooling system, noise level and cost are reduced. Since the battery temperature sensors are not required for estimation, the size and cost of the cooling system is reduced. The fuel economy benefits are provided by recovering energy that is lost as heat in the friction braking system. The pollutant emissions are reduced since the hybrid electric vehicle is operated in electric mode under certain conditions. The need for traditional temperature measurements is eliminated, hence faster and accurate temperature estimation is achieved. The need for traditional temperature sensors placed on the outside of the battery is eliminated, hence cost is saved.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) a method for temperature management of battery; and    (2) a vehicle.    DESCRIPTION OF DRAWING(S) - The drawing shows the block diagram of the vehicle system. (Drawing includes non-English language text)    Vehicle system (100)    Hybrid transmission (106)    Battery (114)    Control device (130)    Cooling system (142)