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حوزهمهندسی برقمهندسی برق
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش19621967
پدیدآورJean CarpentierWilliam F. Tinney, Charles E. Hart
نوعNonlinear constrained optimization for power system operationIterative solution algorithm for power system steady-state analysis
منبع بنیادینCarpentier, J. (1962). Contribution à l'étude du dispatching économique. Bulletin de la Société Française des Électriciens, 8(3), 431-447. link ↗Tinney, W. F., & Hart, C. E. (1967). Power flow solution by Newton's method. IEEE Transactions on Power Apparatus and Systems, 86(11), 1449-1460. DOI ↗
نام‌های دیگرOPF, Economic Dispatch with ConstraintsNR Power Flow, Newton-Raphson Load Flow
مرتبط33
خلاصهOptimal Power Flow (OPF) is a fundamental optimization framework for computing the most economical and secure operating point of an electrical power system. Introduced by Jean Carpentier in 1962, OPF minimizes operational costs (fuel, losses, or other expenses) while satisfying physical and operational constraints. Modern electric grids depend on OPF for real-time economic dispatch, security analysis, and planning, making it one of the most important problems in power systems engineering.The Newton-Raphson method is a powerful iterative technique for solving the nonlinear power flow equations in electrical power systems. Introduced by Tinney and Hart in 1967, it became the industry standard for computing steady-state voltage and power distributions across transmission networks. The method uses Jacobian matrix formulations to rapidly converge to the true operating point.
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ScholarGateمقایسهٔ روش‌ها: Optimal Power Flow · Newton-Raphson Power Flow. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare