MIXED-INTEGER LINEAR PROGRAMMING-BASED TRANSMISSION NETWORK EXPANSION PLANNING CONSIDERING POWER LOSS

Abstract

Transmission network expansion planning (TNEP) is an important problem in power system planning. This problem is usually modelled as a mixed-integer nonlinear programming (MINLP) formulation. The MINLP model, however, often does not guarantee a globally optimal solution and is not likely to be computationally efficient. This paper proposes a mixed-integer linear programming (MILP) model aiming to optimize the topology of transmission networks considering power loss. The proposed MILP model is converted from the MINLP model using the piecewise linearization technique and precisely linearizing the product of the binary and continuous variables. The objective function of the TNEP problem in this study is to minimize the total cost of the power system, including the investment cost for new transmission lines, maintenance cost, cost related to energy losses loss, and production cost of generators. The considered constraints comprise the investment budget limit, the system of power flow equations, the power flow limits of branches and the output limits of generators. The evaluation of the proposed MILP model is implemented on an IEEE 24-node network using a commercial CPLEX optimizer with GAMS programming language.