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Doctoral Thesis
DOI
https://doi.org/10.11606/T.18.2016.tde-03022016-162207
Document
Author
Full name
Alessandra Macedo de Souza
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2005
Supervisor
Committee
Costa, Geraldo Roberto Martins da (President)
Bezerra, Ubiratan Holanda
Minussi, Carlos Roberto
Nepomuceno, Leonardo
Oleskovicz, Mário
Title in Portuguese
Estudos de casos em sistemas de energia elétrica por meio do fluxo de potência ótimo e da análise de sensibilidade
Keywords in Portuguese
Alocação de carga
Congestionamento na transmissão
Método de Newton
Método primal-dual barreira logarítmica
Planejamento da operação
Programação não-linear
Abstract in Portuguese
Este trabalho propõe estudos de casos em sistemas de energia elétrica por meio do Fluxo de Potência Ótimo (FPO) e da Análise de Sensibilidade em diferentes cenários de operação. Para isso, foram obtidos dados teóricos, a partir de levantamento bibliográfico, que explicitaram os conceitos de otimização aplicados ao sistema estático de energia elétrica. A pesquisa fundamentou-se metodologicamente no método primal-dual barreira logarítmica e nas condições necessárias de primeira-ordem de Karush-Kuhn-Tucker (KKT) para o problema de FPO, e no teorema proposto por Fiacco (1976) para a Análise de Sensibilidade. Os sistemas de equações resultantes das condições de estacionaridade, da função Lagrangiana, foram resolvidos pelo método de Newton. Na implementação computacional foram usadas técnicas de esparsidade. Estudos de casos foram realizados nos sistemas 3, IEEE 14, 30, 118, 300 barras e no equivalente CESP 440 kV com 53 barras, em que foi verificada a eficiência das técnicas apresentadas.
Title in English
Studies of cases in power systems by optimal power flow and sensitivity analysis
Keywords in English
Load allocation
Newton's method
Non-linear programming
Operation planning
Primal-dual logarithmic barrier method
Transmission congestion
Abstract in English
This work proposes a study of cases in power systems by Optimal Power Flow (OPF) and Sensitivity Analysis in different operation scenarios. For this purpose, theoretical data were obtained, starting from a bibliographical review, which enlightened the optimization concepts applied to the static system of electrical energy. The research was methodologically based on the primal-dual logarithmic barrier method and in the first-order necessary Karush-Kuhn-Tucker conditions to the OPF problem and in the theorem proposed by Fiacco (1976) to the Sensitivity Analysis. The equation sets generated by the first-order necessary conditions of the Lagrangian function, were solved by Newton's method. In the computational implementation, sparsity techniques were used. Studies of cases were carried out in the 3, IEEE 14, 30, 118, 300 buses and in the equivalent CESP 440 kV 53 bus, where the efficiency of the presented techniques was verified.
 
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Publishing Date
2016-02-03
 
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