Função Penalidade Baseada na Função Onda Triangular para Tratar Variáveis Discretas do Problema de FPOR

• Autor(a) principal: Silva, D.p.
• Data de Publicação: 2016
• Outros Autores: Pereira, A.c., Soler, E.m.
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.5540/tema.2016.017.02.0199; http://hdl.handle.net/11449/158231
• topic: optimal power flow; discrete variables; penalty function; fluxo de potência ótimo; variáveis discretas; função penalidade

ABSTRACT The Optimal Power Flow problem (OPF) is an important problem of electrical engineering investigated since the 60s. The aim of the OPF problem is to determine theoperation point of a electricity transmission system that optimizes a given performance of such system and that satisfies its physical and operating constraints. The Reactive Optimal Power Flow problem (ROPF) is a particular case of the OPF problem. The ROPF problem can be mathematically modeled as a nonconvex nonlinear programming problem with discrete and continuous variables. In this paper, a new approach is proposed for solving theROPF problem. The proposed method comprises treating the discrete variables of the problem by a differentiable penalty function obtained by the decomposition of the triangular wave function through its Fourier series. The interior point methods implemented in the solver IPOPT is used to solve a generated sequence of continuous and penalized problems. The solution of the continuous and penalized problems converge to a solution of the original problem. Numerical tests with the IEEE 14 and 30 bus electrical systems are presented demonstrated the potential of the method.