A Bilevel Approach for Electrical Transmission Network Expansion Planning Considering Power Generation Expansion Planning

Authors

Department of Electrical Engineering, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

In this paper, a mathematical model has been proposed for organizing of eleetrical transmission network expansion planning (TNEP) and power generation expansion planning (GEP) together. The mentioned model is a bilevel optimization model that considers TNEP problem at the upper level and GEP in the lower level as a constraint of upper level. The decision variables of TNEP are defined as continuous and the model considers transmission network constraints through a lossless DC approximation of Kirchhoff’s laws. Using continues decision variable for TNEP causes technical advantages and make the model solution easier than common binary variable structure. This model could be reformulated using Mathematical Program with Equilibrium Constraint (MPEC) method as a single level optimization problem and linearized with new SOS1 linearization technique that has considerable advantage for the solvers. The model is applied to in different cases for Garver model and IEEE 24-bus RTS system using GAMS software to illustrate the methodology and proper conclusions are reached.

Keywords