With a background of the vigorous promotion of the regional energy internet, vigorous development of a green and low-carbon economy, and the increasing coupling of multiple energy flows, how to improve the economic stability of the micro-energy network and optimize its operation has become a hot research topic. However, the increasing load of air-conditioning has brought challenges to the economic operation of the micro-energy network. To this end, heat pumps and phase-change energy storage are introduced to alleviate energy shortages, improve energy efficiency and system flexibility. Considering the output characteristics of the heat pump and the energy storage characteristics of the phase change energy storage, an operational optimization model of a multi-energy complementary micro-energy network is proposed. To analyze the economic and energy-saving effect of the model, under the conditions of time-of-use electricity price and grid-connected operation, with the lowest life cycle cost as the objective function, the method of mixed integer programming is used to solve the model. Simulation results indicate that the introduction of heat pumps and phase change energy storage can reduce both air conditioning load energy consumption and system operating costs, and has better flexibility and economy. This work is supported by Basic Research for Application of Sichuan Science and Technology Department (No. 2017JY0204).