Intraday renewable electricity trading: advanced modeling and numerical optimal control
Silke Glas, Rüdiger Kiesel, Sven Kolkmann, Marcel Kremer, Nikolaus Graf von Luckner, Lars Ostmeier, Karsten Urban, Christoph Weber
Abstract
Abstract As an extension of (Progress in industrial mathematics at ECMI 2018, pp. 469–475, 2019), this paper is concerned with a new mathematical model for intraday electricity trading involving both renewable and conventional generation. The model allows to incorporate market data e.g. for half-spread and immediate price impact. The optimal trading and generation strategy of an agent is derived as the viscosity solution of a second-order Hamilton–Jacobi–Bellman (HJB) equation for which no closed-form solution can be given. We construct a numerical approximation allowing us to use continuous input data. Numerical results for a portfolio consisting of three conventional units and wind power are provided.