A MILP model for generation maintenance scheduling coordinated with hydrothermal dispatch

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A MILP model for generation maintenance scheduling coordinated with hydrothermal dispatch María Victoria Ramírez Martínez1 Frederico Gadelha Guimarães2

· Antonio Hernando Escobar Zuluaga1 ·

Received: 19 January 2018 / Accepted: 11 May 2019 © Springer-Verlag GmbH Germany, part of Springer Nature 2019

Abstract In some real power systems in Latin America, such as those in Brazil, Colombia and Ecuador, the final decision about when to carry out the preventive maintenance is made by the ISO (integrated system operator), in a centralized way. In such a scenario, an optimization model coupling generation maintenance scheduling (GMS) and hydrothermal dispatch (HTD) might lead to lower operation costs from the ISO’s perspective, leading to an optimal solution that might differ from the combined base maintenance schedule (BMS) proposed by the power generation companies. In this paper we develop a mathematical model coordinating the GMS with middle term HTD from the point of view of the ISO. The mathematical model proposed is a mixed integer linear programming (MILP) type that approaches the uncertainty in water inflows through multiple scenarios. The test system emulates a real scale hydrothermal system. The results obtained by the proposed model show operation cost reduction ranging from 5% to as much as 20%, when compared with the BMS proposed by the individual companies. Keywords Mixed integer linear programming · Coordinated maintenance scheduling · Hydrothermal dispatch · Optimisation

1 Introduction The goal of generation maintenance scheduling (GMS) problem is to determine the time and duration of planned preventive maintenance activities on a yearly basis sched-

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María Victoria Ramírez Martínez [email protected] Frederico Gadelha Guimarães [email protected]

1

Universidad Tecnológica de Pereira (UTP), Pereira, Colombia

2

Machine Intelligence and Data Science Lab (MINDS), Department of Electrical Engineering, Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, Brazil

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M. V. R. Martínez et al.

ule, in order to minimize maintenance cost and maximize profit for individual power generation companies (GenCo’s) [1–3]. By solving the GMS problem, individual GenCo’s can determine their base maintenance schedule (BMS), which optimizes the maintenance schedule considering their interests and criteria. Nonetheless, in some real power systems in Latin America, such as those in Brazil, Colombia and Ecuador, the final decision about when to carry out the preventive maintenance is made by the ISO (integrated system operator), in a centralized way. Usually, the ISO tries to implement the BMS provided by GenCo’s, but it has the prerogative of changing these plans in order to minimize production costs, increase system reliability and minimize the risk of rationing or rationing costs. In such a scenario, an optimization model coupling maintenance and hydrothermal dispatch (HTD) might lead to lower operation costs from the ISO’s perspective, leading to an optimal solution that might differ from