Two-stage distributionally robust optimal operation of rural virtual power plants considering multi correlated uncertainties

The efficient utilization of biomass energy and the optimal operation of integrated renewable energy sources in virtual power plants have become critical issues that need addressing to achieve carbon neutrality targets in rural areas. This paper introduces a model for rural biomass energy generation based on the characteristics of rural biogas availability, fermentation efficiency, and utilization status. A model for a rural virtual power plant is proposed, taking into account the flexible response capacity of renewable energy sources consumption and load demand response. Additionally, the correlated uncertainties of photovoltaic and wind turbine outputs are addressed by leveraging the flexible biogas power generation in the rural virtual power plant. The scenario generation method is proposed based on the Copula function to describe the correlated uncertainties. Aiming to minimize the system operating cost while ensuring the safe operation of the system, a two-stage distributionally robust optimization operation model for the rural virtual power plant is proposed. The dual vertices fixing based algorithm is developed to solve the two-stage distributionally robust optimal operation problem. Simulation results demonstrate that the proposed model and method effectively reduce over-robustness by addressing correlated uncertainties and achieve the safe, economical, and green operation of the rural energy system under uncertain conditions.