As carbon emission trading becomes more and more important to promote the transition to a low-carbon economy in the electric power system，the bidding strategy among new energy producers，fossil energy producers，and community aggregators in the electrocarbon market has changed significantly.In view of the stochastic fluctuations shown by bidding behaviors of different agents in the market and the lagging benefits generated by carbon quotas，a stochastic delay differential equation （SDDE） model is established.Gaussian white noise and time-delay terms are introduced to simulate the dynamic evolution of the bidding process between three different firms，and the change law of the lag time threshold and the influence of the change of interference intensity and lag time on the strategy selection are discussed.Based on the supply and demand relationship between the three agents，different types of flexible loads are set up and the evolutionary game process between the supply-side time-of-use pricing strategy and the demand-side flexible load strategy in the electrocarbon market is simulated by SDDE，which proves the influence on the interests of each agent in the process of achieving Nash equilibrium and the effectiveness of peak cutting and valley filling.