Abstract: In recent years，the large-scale grid connected operation of distributed energy has led to the gradual

evolution of traditional power users from simple power consumers to prosumers with both power production and

consumption capacity，and can orderly participate in market transactions under the guidance of market electricity

price. However，limited by their own capacity，it is difficult for prosumers to bear the risks brought by the

fluctuation of market electricity price and the randomness of photovoltaic output. Therefore，an energy management model of prosumers based on robust optimization was proposed. Firstly，an energy management model of prosumers including electric vehicles and various demand response resources was constructed. On this basis，considering the fluctuation of electricity price and the randomness of photovoltaic output，a robust model of energy management for prosumers considering the uncertainty of electricity price and photovoltaic was constructed，and the influence of robustness coefficient on the overall benefits of prosumers and energy management strategy was analyzed. Finally，the improved gray wolf algorithm was used to solve the model efficiently.

      Key words: prosumers；robust optimization；energy management model；electric vehicle；demand response