Application of meta-heuristic methods to generation expansion planning: advanced formulations and case studies

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Application of meta‑heuristic methods to generation expansion planning: advanced formulations and case studies Guilherme Costa Silva1   · Frederico G. F. Coelho1 · Adriano C. Lisboa2 · Douglas A. G. Vieira3 · Rodney R. Saldanha1

© Springer Nature B.V. 2020

Abstract The generation expansion planning (GEP) is a very relevant optimization problem in power systems research. Several factors must be considered in the management of an optimal planning that aims at expanding the generation, such as satisfying a growing demand, dealing with costs of investment, operation and maintenance, dealing with pollutant emission, among others. Considering these aspects, this problem tends to be very complex and metaheuristics methods have been employed in order to provide satisfactory solutions. This paper aims at reviewing GEP considering five different formulations of the problem and how meta-heuristics approaches can be applied to it. For this purpose, two case studies are presented and, in order to provide a deep analysis, these methods are compared according to their performance, the solution provided by them, and also comparing results obtained among different formulations, which leads to a promising methodology and some interesting results provided. Keywords  Meta-heuristic methods · Power systems · Evolutionary algorithms · Generation expansion planning

* Guilherme Costa Silva [email protected] Frederico G. F. Coelho [email protected] Adriano C. Lisboa [email protected] Douglas A. G. Vieira [email protected] Rodney R. Saldanha [email protected] 1

Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Av. Antônio Carlos, 6627, Belo Horizonte, MG 31270‑901, Brazil

2

Gaia Solutions on Demand, Rua Professor José Vieira Mendonça, 770, Belo Horizonte, MG 31270‑901, Brazil

3

ENACOM Handcrafted Technologies, Alameda das Latânias, 215, Belo Horizonte, MG 31270‑800, Brazil



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G. Costa Silva et al.

1 Introduction The generation expansion planning (GEP) is a very significant problem dealt by power system planners, which plans the investment on energy production aiming at expanding an existing power system in order to attend growing demand in the future, and satisfying all criteria considered by different aspects. According to the system needs, several aspects can be taken into account and optimization tools should be applied to the problem. This problem, along with the transmission expansion planning (TEP), which deals with introducting transmission lines, are very important long-term expansion problems in power systems. According to Kannan et al. (2009) and Murugan et al. (2009a), the main objective of this problem is to identify the best expansion plan, determining the generating units to be constructed and their availability over a long-term planning horizon, minimizing all costs implied by the planning. The problem can be defined in Sadeghi et al. (2017) as a predominantly non-linear, non-differentiable, high dimensional and discrete optimization problem,