This paper clarifies the participating subjects in the energy storage capacity insurance service and proposes a service model that considers balance regulation. A case study is carried out with 109 power sales companies in a province as the research object, and a performance risk network model is established. Analyze the performance risk characteristics and relationships, and identify the performance risk based on the improved COPOD. Relying on the ideas of system dynamics and evolutionary game, the guarantee mechanism for the performance of the basic contract of energy storage capacity insurance is revealed. It is found that revenue capacity, cash flow ratio, and contract performance deviation rate have the highest point out degree and influence, and revenue capacity has an influence strength of 0.312 on contract performance deviation rate, which is the core conduction chain. The improved COPOD algorithm improves the identification accuracy by 7.34%, and correctly identifies the risk level of 108 power sales companies. The evolutionary game shows that the system is stabilized in the state of low risk preference of the power selling companies and strong control of the trading center. Combined with the results of the study, the financial defense and control strategy for the performance of the basic contract of energy storage capacity insurance is proposed.