At present, as a potential effective way of absorbing new energy, electric heating equipment has the problems of low source-load matching and insufficient tap position optimization. Thus a multi-power level control strategy based on a cluster control architecture of electric heating equipment is proposed. First, considering the objectives of user comfort, economy and fairness of electric heating, the optimal benchmark gear is determined by an improved multi-objective particle swarm optimization (IMOPSO) algorithm. Then, a corresponding relationship between comprehensive weighted index and gear difference is established to determine the optimal multi-power grade gear difference. Finally, multi-power level control of electric heating equipment is realized by constraining the equipment state and load transfer amount. The simulation results show that compared with the traditional control method, the proposed strategy can further realize the accurate absorption of new energy, improve user heating comfort level on the basis of improving load flexibility, and provide a new feasible method for the new energy absorption control strategy. This work is supported by the National Natural Science Foundation of China (No. 51907020).