wind generation investment planning in a double auction market: a mathematical bi-level approach

Wind generation investors face multiple problems that could cause different outcomes in their investment problems. in these conditions, the multi-level mathematical models could help them to make a valid decision considering different incompatible objectives in their game. in this paper, a bi-level model is proposed to help a wind power investor to find the optimal plant considering required transmission line reinforcements. this model consists of a double auction market clearing problem in the lower level and the wind generation investment problem in the upper level. the bi-level model is converted to a mathematical program with equilibrium constraint (mpec) that tries to solve the investor’s problem with consideration of generation uncertainties in a double auction day-ahead pool market. the market model is based on a stepwise supply function offering a structure for maximization of the market social welfare (sw) based on given offers and bids. also, the ratio of social welfare to the market revenue will be investigated for analysis of wind power generation effect on the market parameters. the continuous variables are used for transmission reinforcements in the proposed model instead of common binary ones because of their considerable advantages. the continues variables could show fractional enhancements if needed in any transmission line which could be implemented by facts devices. the garver network and 14-bus ieee test systems were modeled in gams software for presenting the model functionality.