Mathematical modelling and MINLP programming of a hydro system for power generation

This study is focused on the development of a generic model based on mixed-integer, nonlinear programming (MINLP) for system optimisation regarding the possible construction of a hydropower plant. The system is based on the model of an arbitrary branched water network; with a varying number of volume flows, ideal slope inclination of the analysed landscape, variable water-heads at the flow intersections, assumed technological, economic, environmental, and social constraints. Using this model the optimal installation location of water capture within a hydropower plant, that would provide the maximum economic and eco-profit from produced and sold electricity using installed water-flow to the turbine can be predicted. Validated mathematical model can be confirmed with 2 pre-existing micro and nano-hydro power plants. At the usefulness of this model as a good tool for rapid assessment during the planning of hydro-power plants is presented. The generated model enables the presentation of the results of basic physical and economic variables in order to assess the use of water potential and to provide suggestions on selecting the most technologically appropriate water turbine driver for electricity generation.