The green certificate trading mechanism, as a national policy tool to promote the development of renewable energy, helps to ensure the consumption of renewable energy power, thereby effectively promoting the achievement of the "dual-carbon" strategy. However, in the process of the implementation of this policy, there is the problem of two-level polarization between the number of green certificates issued and the amount of trading. In view of this, this paper firstly considers the coupling relationship between carbon market, power market and green certificate market, establishes a two-stage supply chain Nash equilibrium benchmark game model including coal power enterprises, green power enterprises and power grid enterprises; secondly, it considers the establishment of the connection relationship between green certificate market and carbon market, constructs a game model under the heterogeneous policy scenarios and solves them separately, and analyzes whether the different policy scenarios would have any effect on the price of green certificates by comparing and analyzing the price of green certificates, and the game model is constructed and solved separately to analyze whether different policy scenarios have positive effects on key variables such as green certificate price, green certificate trading volume and profit of each enterprise. Finally, the effects of different policy scenarios of renewable energy quota ratio and consumption ratio on the equilibrium green certificate price, green certificate trading volume and profits of each game player are analyzed through numerical simulation. The results of the study show that there is a significant problem of " applauded not acclaimed " in green certificate trading; considering the connection between carbon market and green certificate market, the attribute of certified carbon emission reduction can reduce the price of green certificate and increase the demand for green certificate, so as to achieve the " applauded not acclaimed " of the green certificate market; The expansion of the use of green certificates on the green power companies have adverse effects, and to a certain extent weakened its dominant position in the market, so that corporate profits have been reduced, but the policy scenario is also to a certain extent weakened the renewable energy quota ratio and the proportion of consumption of the subject of the impact on the profitability of the proportion change. The above findings explore the implementation effect of green certificate system under renewable energy quota and carbon limit, and provide an important reference basis for the effective implementation and good development of tradable green certificate.