An Extremal Problem with Applications to Renewable Energy Production

Dynamic optimisation provides complex challenges for optimal solution, but greatly increases applicability when considering time dependent situations. In this work, a constrained dynamic optimisation problem is analysed and subsequently applied to the resolution of a real-world engineering problem concerning Solar Power Tower plants. We study the existence of solutions and deduce an appropriate optimality characterisation in this applied framework. Two iterative algorithms are presented, convergence properties are discussed and a numerical illustration is given utilising realistic data. Finally, conclusions are drawn on the considered model and some ideas for future work are discussed.