Compensation mechanism for peak-shaving auxiliary services considering the cost recovery period of energy storage

China's dual carbon targets—peaking emissions by 2030 and achieving carbon neutrality by 2060—require effective integration of renewable energy, creating enhanced peak-shaving auxiliary services. As thermal power plants (TP) shift to auxiliary roles, their profitability diminishes, while energy storage systems (ESS) offer flexibility and rapid response to stabilize supply-demand imbalances. However, ESS adoption has been hindered by weak cost recovery mechanisms. This study introduces a novel economic dispatch model for a wind-fire-storage system, evaluating ESS's income, costs, and cost recovery periods under different compensation mechanisms. The results show that the proposed compensation mechanism reduces ESS cost recovery periods by 15.4 %, boosts wind power profitability, stabilizes TP output, and lowers peak-shaving costs. The findings emphasize the importance of strategic compensation mechanisms in facilitating renewable energy integration, reducing reliance on thermal power, and enhancing ESS participation. This work provides a practical framework for optimizing energy storage applications and supporting China's carbon neutrality goals.