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Journal of Electrical and Computer Engineering
Volume 2012, Article ID 527258, 10 pages
Research Article

Transmission Network Expansion Planning Considering Phase-Shifter Transformers

1Mathematics Department, FUNEC, Av. Mangará, 477, Santa Fe do Sul, SP 15755-000, Brazil
2Engineering and Applied Sciences Center (CECE), UNIOESTE, Av. Tarquinio Joslin dos Santos 1300, Foz do Iguazu, PR 85870-000, Brazil
3Electrical Engineering Department (DEE), UNESP, Av. Brasil 1200, Ilha Solteira, SP 15385-000, Brazil

Received 3 October 2011; Accepted 16 January 2012

Academic Editor: Massoud Rashidinejad

Copyright © 2012 Celso T. Miasaki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a novel mathematical model for the transmission network expansion planning problem. Main idea is to consider phase-shifter (PS) transformers as a new element of the transmission system expansion together with other traditional components such as transmission lines and conventional transformers. In this way, PS are added in order to redistribute active power flows in the system and, consequently, to diminish the total investment costs due to new transmission lines. Proposed mathematical model presents the structure of a mixed-integer nonlinear programming (MINLP) problem and is based on the standard DC model. In this paper, there is also applied a specialized genetic algorithm aimed at optimizing the allocation of candidate components in the network. Results obtained from computational simulations carried out with IEEE-24 bus system show an outstanding performance of the proposed methodology and model, indicating the technical viability of using these nonconventional devices during the planning process.