Analysis of Market Equilibrium under the Coupling of Carbon Market and Electricity Market

The construction of a carbon market is in full swing all over the world nowadays, and the carbon market is bound to have a certain impact on power producers. It is of great significance to study the market equilibrium under the coupling of carbon market and electricity market for improving the market mechanism and guiding power producers to participate in the market. This paper establishes a market equilibrium model under the coupling of carbon market and electricity market, which can simultaneously consider the game behavior of power producer in the electricity market and carbon market. Firstly, the mathematical models of power producer's participation in the carbon market and the electricity market are established, and then the market equilibrium model under the coupled market including fossil energy power producers and clean energy power producers is established. According to the established model, using the co-evolutionary algorithm to solve the Nash equilibrium, analyze the decision-making and market competitiveness of each power producer, and compare with the electricity market equilibrium state without considering the carbon market, and analyze the impact of the carbon market on the electricity market and power producers.