A new bi-level multi-objective model for market clearing in the presence of strategic producers using augmented ɛ-constraint method

In this paper, a new approach is proposed for optimal bidding of strategic units in day ahead energy market and market clearing process. This method describes the multi objective scheduling of strategic units that is going to maximize its profit in presence of rivals and minimize its emission. In order to achieve this goal, a bi-level mathematical optimization model with equilibrium constraints Is provided. The first level maximizes the profit of strategic units and the second level maximizes the level of social welfare. The bi-level model is converted to a mixed integer linear programming model using a duality theory and Karush-Kuhn-Tucker (KKT). Another goal is to solve the bi-level problem in a multi-objective method using augmented Epsilon constraint method in order to maximize profit of linearized model and reduce the emission of strategic units. Finally, the best answer is selected using fuzzy decision method. The power transmission distribution factor (PTDF) method has been used to model the network structure.