Probabilistic analysis of wind turbine planning in distribution systems

DG planning is an important issue in power system studies. These technologies have a lot of advantages such as reducing power loss, improving voltage profile and etc. Renewable resources such as wind and solar units are the cleanest technologies among all of the DG technologies. This paper presents wind turbine planning in order to reduce the annual costs of the distribution system. Since the power generated from wind turbines is dependent on the wind speed and the wind speed has an intermittent nature, so all of the related costs including the energy loss cost, energy not supplied cost and the purchased energy cost from the private investors of the wind turbines and the substation transmission system should be studied from probabilistic point of view. The uncertainty of wind speed is modeled with the Rayleigh probability distribution function. The planning problem is formulated as mixed integer nonlinear programming (MINLP) and is tested on a 9 bus distribution system using GAMS software. The results show a significant reduction in annual costs of the distribution system.