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In this paper, a class of systems in which auxiliary batteries fed by fossilfuel generation and wind farms work together to supply power to the grid aremodeled and strategies are solved to minimize the consumption of fossil fuelswhile still allowing the total energy to satisfy the energy demand of the grid.The wind resource is modeled using stochastic differential equations and thegrid energy demand is also stochastically modeled using stochastic differentialequations. The two stochastic models are well calibrated using wind resourcedata from historical wind farms and historical grid energy demand data.Finally, dynamic programming is used to solve this optimization problem.

Optimization of Fossil Fuel Consumption under Grid Energy Supply by Wind Energy and Auxiliary Batteries Using Fossil Fuel for Energy Supply