Capacitor Allocation in Unbalanced Systems Using a Three-Level Optimization Framework

Authors

Keywords:

Capacitor Placement, Losses Minimization, Optimal Power Flow, Unbalanced Distribution Systems

Abstract

The optimal capacitor placement issue has a strong combinatorial nature due to the high number of possible decisions. This paper proposes a three-level method to solve this problem in unbalanced distribution systems to achieve energy losses minimization. In the first step, the Multiphase Optimal Power Flow is solved by Interior Point Method, considering heavy-load and light-load, where the reactive power and the number of fixed and switched banks are determined, where the topology constraints are modeled using a Multiphase Power Flow Method. In the second step, the position of the capacitors is determined using Genetic Algorithms, using the light-load to allocate the fixed banks and heavy-load to allocate the switched ones. Finally, the third step aims to determine the states of the switched capacitors, using binary optimization and considering the whole daily load curve. For validation, it is tested on topologies based in IEEE 4, IEEE 13, and IEEE 123 Node Test-Feeders. 

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Author Biographies

Antônio Sobrinho Campolina Martins, Universidade Federal de Juiz de Fora

Antônio Sobrinho Campolina Martins possui graduação em Engenharia Elétrica pela Universidade Federal de Juiz de Fora (2019). Atualmente, é aluno do curso de Mestrado Acadêmico da Universidade Federal de Juiz de Fora. Atua nos seguintes temas: metodologias de análise de sistemas de distribuição e métodos de otimização.

Fernando Rocha Moreira de Souza Costa, Universidade Federal de Juiz de Fora

Fernando Rocha Moreira de Souza Costa possui graduação em Engenharia Elétrica pela Universidade Federal de Juiz de Fora (2019). Atualmente, é aluno do curso de Mestrado Acadêmico da Universidade Federal de Juiz de Fora. Atua nos seguintes temas: metodologias de análise de sistemas de distribuição, modelos de componentes e métodos de otimização.

Leandro Ramos de Araujo, Universidade Federal de Juiz de Fora

Leandro Ramos de Araujo (Senior Member 2015) received the degree of Electrical Engineer in 1997 and the M.Sc. degree in 2000, both from the Federal University of Juiz de Fora (UFJF), Minas Gerais, Brazil and the Ph.D. degree in Electrical Engineering from the Graduate School of Engineering (COPPE) / Federal University of Rio de Janeiro (UFRJ), Brazil in 2005. From 2003 to 2005 he was with the Electrical Energy Research Center (CEPEL) of Brazilian Electrical Company-ELETROBRAS. From 2005 to 2009 he has been with the Brazilian Petroleum Company- PETROBRAS. Since 2009 he has been with the Electrical Engineering Department of Federal University of Juiz de Fora. His research interests include the development of tools for optimization and operation of transmission, distribution and industrial systems. He has piblished more than 40 peer-reviewed papers in scientific journals. His research products have been cited more than 600 (h-index: 12) and 800 times (h-index:13) according to Web of Scinence and SCOPUS. He is currently PQ2 by CNPq.

Debora Rosana Ribeiro Penido, Universidade Federal de Juiz de Fora

Débora Rosana Ribeiro Penido (S’1999; M'2009; SM'2013) possui graduação em Engenharia Elétrica pela Universidade Federal de Juiz de Fora (2002), mestrado em Engenharia Elétrica pela Universidade Federal de Juiz de Fora (2004) e doutorado em Engenharia Elétrica pela Universidade Federal do Rio de Janeiro/COPPE (2010). Professora adjunto da Universidade Federal de Juiz de Fora. Atua nos seguintes temas: Modelos de componentes, metodologias de análise de sistemas de distribuição e planejamento de sistemas de transmissão.

References

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Published

2021-03-29

How to Cite

Martins, A. S. C., Costa, F. R. M. de S., de Araujo, L. R., & Penido, D. R. R. (2021). Capacitor Allocation in Unbalanced Systems Using a Three-Level Optimization Framework. IEEE Latin America Transactions, 19(9), 1599–1607. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/5098

Issue

Vol. 19 No. 9 (2021): Ordinary Issue

Section

Articles