This paper presents a mixed-integer LP approach to the solution of the long-term transmission expansion planning problem. In general, this problem is large-scale, mixed-integer, nonlinear, and nonconvex. We derive a mixed-integer linear formulation that considers losses and guarantees convergence to optimality using existing optimization software. The proposed model is applied to Garver's 6-bus system, the IEEE Reliability Test System, and a realistic Brazilian system. Simulation results show the accuracy as well as the efficiency of the proposed solution technique.
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Alguacil, N., Motto, A. L., & Conejo, A. J. (2003). Transmission expansion planning: A mixed-integer LP approach. IEEE Transactions on Power Systems, 18(3), 1070–1077. https://doi.org/10.1109/TPWRS.2003.814891