A method and arrangement is provided for estimating an initial value for an internal battery temperature of a vehicle using a four zone process that determines which of a predetermined set of time zones correlates with a measured period of time for an engine of the vehicle being in an engine-off condition. Once the time zone is determined, an initial estimated value of the internal temperature of the battery is determined as a function of a set of parameters correlated with the determined time zone. The set of time zones include a holding time zone, a model based estimation time zone which is greater in time than the holding time zone, a first self-adjustment zone which is greater in time than the model based estimation time zone, and a second self-adjustment time zone which is greater in time than the first self-adjustment time zone.