In response to the global challenges posed by fossil fuel consumption and environmental degradation, this paper proposes an optimal capacity allocation model for the supercapacitor-hydrogen hybrid energy storage system (SC-H2-HESS) based on non-cooperative games. This model aims to address the optimal capacity allocation for wind farms, PV stations, and hybrid energy storage systems incorporating supercapacitors and hydrogen. Initially, a peak shaving model for the SC-H2-HESS is formulated, considering the operational characteristics of supercapacitors and hydrogen storage. Subsequently, an optimization model for the capacity allocation of wind farms, PV station and SC-H2-HESS is established, grounded in non-cooperative games. This model incorporates various economic factors, including investment costs, operational and maintenance expenses, electricity sales revenue, and penalties for renewable energy curtailment faced by game participants. The dung beetle optimization algorithm is utilized to identify the Nash equilibrium point, thereby maximize profits for all stakeholders. Finally, a case study utilizing 2023 measured data from a region in Northeast China demonstrates that the proposed model not only ensures the safe and stable operation of the entire system but also brings substantial economic benefits to all parties involved.