Transient stability constrained optimal power flow applied to distribution systems with synchronous generators

Authors

Keywords:

Active and reactive power dispatch, distributed synchronous generators, distribution systems, transient stability, transient stability constrained optimal power flow

Abstract

This paper proposes a Transient Stability Constrained Optimal Power Flow (TSC-OPF) formulation in order to calculate the optimum operating point of synchronous generators in distribution networks, in terms of dispatch of their active and reactive powers. However, the problem is complex due to the high number of constraints and variables, as well as, the presence of nonlinear constraints. To circumvent these adversities, an optimization problem is proposed in this paper with the application of a set of mathematical approximations in the constraints of the active and reactive power balance equations. In addition, an approximation is explored in the swing equation of synchronous generators belonging to a group of coherent machines, particularly regarding the active power injection from the generators. The proposed TSC-OPF is tested in a 31-bus radial distribution system with two and four generators. The results show that the running time to solve the proposed optimization problem with approximations becomes smaller when compared to the time to solve it without approximations.

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Author Biographies

Daiane Mara Barbosa de Siqueira, Universidade Federal do Paraná, Curitiba, Paraná, Brasil

nasceu em Curitiba, Paraná, Brasil em 1991. Recebeu o título de bacharel e mestre em Engenharia Elétrica da Universidade Federal do Paraná (UFPR), Curitiba, Brasil, em 2014 e 2021, respectivamente. Atualmente é servidora da UFPR na Superintendência de Infraestrutura. Seus interesses são em pesquisas na área de sistemas elétricos de potência.

Roman Kuiava, Universidade Federal do Paraná, Curitiba, Paraná, Brasil

recebeu os títulos de Mestre e de Doutor em Engenharia Elétrica pela Universidade de São Paulo (USP), São Carlos, Brasil, em 2007 e 2010, respectivamente. Atualmente, ele é Professor Associado no Departamento de Engenharia Elétrica da Universidade Federal do Paraná (UFPR), Curitiba, Brasil. Seus interesses em pesquisas que envolvem as áreas de estabilidade e controle de sistemas elétricos de potência, com destaque para problemas de estabilidade a pequenas e grandes perturbações.

Thelma Solange Piazza Fernandes, Universidade Federal do Paraná, Curitiba, Paraná, Brasil

recebeu seu título de Doutora em Engenharia Elétrica em 2004 da Universidade Federal de Santa Catarina e é Professora no Departamento de Engenharia Elétrica da Universidade Federal do Paraná, em Curitiba. Seus interesses de pesquisa são em otimização aplicada no planejamento da operação de sistemas elétricos de potência.

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Published

2021-09-30

How to Cite

Barbosa de Siqueira, D. M., Kuiava, R., & Piazza Fernandes, T. S. (2021). Transient stability constrained optimal power flow applied to distribution systems with synchronous generators . IEEE Latin America Transactions, 100(XXX). Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/5684