Wind farm energy and costs optimization algorithm under uncertain parameters of wind speed distribution

Abstract

A problem of optimally projecting a wind farm is considered. The criteria are the energy produced by the farm and its costs. The starting option is either financial investments into the farm or a nominally planned energy. The wind speed distribution parameters are uncertain and given as interval estimates. In general, the farm consists of wind turbines having diverse power curves. An algorithm of maximizing the expected energy annually produced by them along with minimizing their costs is developed. If the investments are given, the energy is maximized in order not to outgo them under the uncertain parameters of wind speed distribution. Otherwise, if an annual energy is planned, the farm costs are minimized along with maximizing the produced energy, under the same uncertainty. The uncertainty is removed owing to finding the guaranteed and expected values of the costs and the wind farm power outputs. Depending on the initially given option (investments or an annual planned energy), the optimization efficiency is measured via the respective ratios.