Optimal allocation of wind-based DG based on analytical expression with time-varying combined generation-load models in distribution networks

This study presents an analytical expressions for finding optimal size and corresponding optimum location of wind-based distributed generation (DG) units in a radial distribution network. DG units are allocated in order to achieve the highest loss reduction in distribution networks. In most DG planning studies a constant or voltage-dependent load model is considered. Therefore, this study considers several different types of time-varying voltage-dependent load models to identify the penetration level of wind-based DG (wind DG) units in a radial distribution system. This presented analytical expression first size wind DG unit, which can inject both active and reactive powers. This is based on derivation of a multi-objective index (IMO) including two indexes of active power loss (ILP) and reactive power loss (ILQ). Then, while considering time-varying load models and probabilistic wind DG generation this expression allocate wind DG. To reveal the validity of the presented analytical method, a 69-bus IEEE radial distribution test system has been examined. The results demonstrate that load models can significantly affect the optimal size and location of DG resources, and allocation of wind DG with each load model has its own penetration level.