An analysis of influences of connection ways on the efficiency of a heat pump in an industrial energy system was made. A new special connection of a heat pump with a heat accumulator system was introduced and is fully discussed with respect to the operating procedure as well as advantages. The dynamics of heat energy consumption influences the economics and efficiency of an industrial heat pump. Simulation of a heat pump in an industrial energy system is established in accordance with the dynamic energy consumption and condition of electrical power consumption with respect to the peak power. As a demonstration example of the simulation, data from a chemical plant were used.