Master-slave game optimization method for comprehensive energy system containing carbon capture and power-to-gas equipment

The invention discloses a master-slave game optimization method for an integrated energy system containing carbon capture and power-to-gas equipment. The method comprises the following steps: firstly, constructing a multi-energy supply IES mathematical model comprising CCS and P2G capable of reducing carbon emission and various energy storage equipment; secondly, an IES double-layer game optimization framework considering demand response is provided, the upper layer takes the maximum income of a system operator as a target, the lower layer takes the minimum cost of a system user as a target, an environment model is a stepped carbon transaction mechanism, and the energy selling price of the operator is expanded to various forms of energy pricing from traditional electricity pricing; and finally, converting a lower-layer model into constraints through a KKT condition, adding the constraints into an upper layer, converting nonlinearity and bilinearity into linear terms through a Big-M method and a McCormick meth