A Game Bidding Model of Electricity and Hydrogen Sharing System Considering Uncertainty

The uncertainty of renewable energy source (RES) and load may bring huge challenge to the operation of power systems. In order to meet the balance of supply and demand, a game bidding strategy considering uncertainty is proposed for the electric-hydrogen shared energy storage system (SESS). Firstly, based on Wasserstein distance in extreme scenarios, a reduced scale fuzzy set is constructed for the uncertainty of supply and demand. Secondly, Vickrey-Clarke-Groves (VCG) mechanism is introduced to deal with the misreporting and valuation behavior of microgrids (MGs). Then a two-stage distributed robust optimization (DRO) game model is designed for SESS—MGs through game bidding. The aim of Stage I can maximize the benefits of SESS, while the social welfare of each microgrid (MG) may be maximized in Stage II, which can achieve a unique Stackelberg equilibrium. So the DRO model is transformed into a solvable mathematical model by taking advantage of dual theory and adaptive McCormick algorithm. Finally, the case studies are simulated by using the IEEE 33 node power grid together with a 20 node hydrogen network, which can validate the effectiveness of the proposed model.