Funções penalidade para o tratamento das variáveis discretas do problema de fluxo de potência ótimo reativo

• Ano de defesa: 2016
• Autor(a) principal: Silva, Daisy Paes [UNESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Estadual Paulista (Unesp)
• Palavras-chave em Português: Reactive optimal power flow; Non-linear programming; Polynomial penalty functions; Fluxo de potência ótimo reativo; Programação não-linear; Variáveis discretas; Funções penalidade polinomiais; Discrete Variables
• Link de acesso: http://hdl.handle.net/11449/138757

The Optimal Power Flow Problem (OPF) is considered an important problem of the electrical engineering since the 1960s. From that moment, many papers were published with different formulations and approaches for solving this problem. Many of these approaches disregard the discrete nature of the control variables and consider all the variables of the problem as continuous. These formulations are approximations of the OPF problem, because some variables can be adjusted only by discrete steps, according to the system reality. In the Reactive Optimal Power Flow problem (ROPF), particular case of the OPF problem, the variables related to the active power are fixed and the optimization only considers the variables related to the reactive power. The ROPF problem can be mathematically modeled as a nonlinear programming problem with discrete and continuous variables. In this work, two approaches are presented for solving the ROPF problem considering the discrete nature of its variables. In the presented approaches, penalty functions are used associated with an interior-point method, combining the advantages of both for solving the ROPF problem. Polynomial penalty functions are used to treat the discrete control variables of the problem, transformers taps and shunt susceptances, obtaining a sequence of continuous, differentiable and penalized problems, which are solved by the interior-point method implemented in the IPOPT free solver. The solution of such problems converge to the solution of the original problem. The numerical tests were performed in the electrical systems IEEE 14, IEEE 30 and IEEE 118 buses to show the efficiency of the proposed methods.