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

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