Abstract: Carbon emission pressure on the optimal operation strategy of integrated energy system is

intensified by environmental issues and low carbon policies. To address this issue，a multi-objective optimal

scheduling model under the operation of the integrated energy system in the park was established，which considered the economics and environmental friendliness of the scheduling strategy described in terms of total operating cost and carbon emission，respectively. To address the problem that the multi-objective weight selection is prone to subjective bias，the multi-objective optimization problem was transformed into a cooperative game of economy and environmental protection，and a multi-objective Pareto front solution method based on the Karush-Kuhn-Tucker （KKT）condition was proposed，and then the cooperative game solution was calculated using the Andersonacceleration-based alternating direction method of multipliers（ADMM）. The cooperative game approach was used to determine the compromise between the economic and environmental objectives to achieve the optimal scheduling and operation strategy. In the final example section，the proposed method was verified in multiple scenarios by analyzing the optimal scheduling strategy of the integrated energy system in the park through four typical days of the season，and the results show that the proposed method can make a reasonable trade-off between operating costs and carbon emissions.

      Key words: integrated energy system（IES）；cooperative competition game；alternating direction method of

multipliers（ADMM）；bi-objective problem；Anderson acceleration