To more effectively cooperation response of adjustable resources within the integrated energy system

a two-layer optimization method based on chance constraints for integrated demand response (IDR) in industrial parks is proposed. Firstly

based on the integrated energy system framework of the industrial park

an incentive-based integrated demand response strategy is developed

along with an interactive response framework involving the industrial park operator

load aggregator and the main grid. Then

to address the uncertainty in load response

the chance constraint method is introduced

and coordinated response strategy between air-conditioning and aluminum electrolysis load is proposed to improve response reliability. Finally

a two-layer optimization method is established

with the industrial park operator as the upper layer and the load aggregator as the lower layer. The model is solved using a hybrid approach that embeds the Gurobi solver within a particle swarm optimization algorithm. The simulation results show that the proposed two-layer optimization method can achieve a coordinated response of energy conversion equipment and multiple loads. It reduces the response cost of the industrial park and improves the reliability and economic efficiency of integrated demand response.