A Branch and Bound Algorithm to Solve Nonconvex MINLP Problems via Novel Division Strategy: An Electric Power System Case Study

Autor(es)

de Jesus Delgado, Marcos Andre ; Pourakbari-Kasmaei, Mahdi ; Rider, Marcos Julio ; IEEE

• Tipo de documento: Artigo Científico
• Fonte: 2017 1ST IEEE INTERNATIONAL CONFERENCE ON ENVIRONMENT AND ELECTRICAL ENGINEERING AND 2017 17TH IEEE INDUSTRIAL AND COMMERCIAL POWER SYSTEMS EUROPE (EEEIC / I&CPS EUROPE); v. N/A, p. 6-pg., 2017-01-01.

Resumo

This paper presents two Branch and Bound algorithms (B&B) for solving mixed-integer nonlinear programming (MINLP) problems with nonconvex search space. The main advantage of the proposed algorithms, comparing with the commonly used B&B algorithms, is using an innovative way of variables' separation and subproblems' division while, if necessary, one more variable is used in the separation process. This approach allows circumventing the probable difficulties caused by nonlinearity and nonconvexity. This paper aims at addressing the following issues of how to: 1) deal with nonlinear programming problems, 2) detect the infeasibility of the resulted NLP problems, and 3) deal with the nonconvexity of the problem. In order to show the applicability, the proposed algorithms are applied to one of the most complicated problems in power system, the long-term static transmission expansion planning, which is modeled as an MINLP problem. Several case studies such as Garver 6-bus, IEEE 24-bus, South Brazilian 46-bus, Bolivian 57-bus, and the Colombian 93-bus are conducted to reveal the effectiveness and shortcoming of the proposed algorithms. Results show that the proposed algorithms can find the best-known solutions for most of the aforementioned systems with a significant reduction in the number of subproblems. (AU)

• Processo FAPESP: 14/22828-3 - Desenvolvimentos de modelos de programação não linear inteira mista para solução de problema de fluxo de potência ótimo ativo e reativo para sistemas com geradores multi-combustíveis considerando restrições ambientais
• Beneficiário: Mahdi Pourakbari Kasmaei
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 16/14319-7 - Alocação on-line de pegada de carbono (carbon footprint): um modelo integrado para gerenciar a redução de emissão de gases de efeito estufa e a demanda de energia elétrica
• Beneficiário: Mahdi Pourakbari Kasmaei
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado