Optimal Sizing and Operation of a Photovoltaic System with Storage

The aim of the course is to show how mathematical optimization can be used to support planning the investment in renewable energy hubs jointly with deciding on the optimal investment operation policy. The course starts with simple models of various processes involved in renewable energy production and storage based on mass and energy balance laws, together with main determinants regarding the cost for the corresponding investment and maintenance. Furthermore, main determinants for assessment of costs/gains for energy and material exchange with energy grids and the environment are assessed. It is then shown how the models and materials/energy exchange conditions can be formulated in the form of the optimization criterion and the constraints of a mathematical optimization problem. Focus is put on formulation of convex mathematical programs, foremost linear programs. Besides optimal sizing and operation scheduling behind the meter also optimization of energy storage system for provision of grid services will be elaborated.