In order to suppress the threat to power system operation caused by the dual uncertainty of source side wind power generation and load side, this paper constructs a multi energy complementary system to solve this problem. In this paper, wind turbine, photovoltaic unit, gas turbine and electric boiler are integrated into multi-energy complementary system, and a multi-objective optimal scheduling model is established to meet the system economic benefits and carbon emission at the same time. Aiming at the uncertainty of power supply side, the robust stochastic optimization theory is introduced to describe the uncertain factors with the boundary of constraints; The load side is regulated by demand side response technology. The multi-objective function is solved by means of nested fuzzy membership function, and 6-node energy hub is selected for analysis. The results show that the above methods can effectively reduce the system uncertainty and take into account the system economy and carbon emission objectives.