Probabilistic OPF Model for Unbalanced Three-Phase Electrical Distribution Systems Considering Robust Constraints

Autor(es)

Giraldo, Juan S. ^[1] ; Lopez, Juan Camilo ^[1] ; Castrillon, Jhon A. ^[1] ; Rider, Marcos J. ^[1] ; Castro, Carlos A. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Syst & Energy, BR-13083970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE Transactions on Power Systems; v. 34, n. 5, p. 3443-3454, SEP 2019.
• Citações Web of Science: 0

Resumo

This paper proposes a probabilistic optimal power flow(POPF) for unbalanced three-phase electrical distribution systems considering robust constraints. Wind velocity, solar irradiation, and demands are considered as exogenous random variables with dissimilar probability distribution functions. The proposed two-stage POPF model determines the optimal generation dispatch that minimizes the average production cost while satisfying probabilistically robust constraints. The robustness of the solution is adjusted through a parameter involving the first two moments of the random state variables. The 2m + 1 point estimate method (PEM) provides the scenarios for the proposed POPF model, which can be solved using commercial solvers. The model's accuracy is evaluated by comparing the results obtained with the PEM and with a classical scenario generator technique. The model is validated through twoIEEEdistribution feeders with 13 and 123 nodes, comprising dispatchable and renewable generation. Results show that the model can accurately estimate the mean and standard deviation of the state random variables when compared with results obtained through Monte Carlo simulations. Various levels of conservatism are assessed, demonstrating the model's flexibility and applicability. (AU)

• Processo FAPESP: 15/12564-1 - Estudo e Implementação de um Esquema de Self-Healing em Sistemas Modernos de Distribuição de Energia Elétrica
• Beneficiário: Juan Camilo Lopez Amezquita
• Modalidade de apoio: Bolsas no Brasil - Doutorado