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ニュートン・ラプソン電力潮流計算×最適潮流計算×
分野電気工学電気工学
系統Process / pipelineProcess / pipeline
提唱年19671962
提唱者William F. Tinney, Charles E. HartJean Carpentier
種類Iterative solution algorithm for power system steady-state analysisNonlinear constrained optimization for power system operation
原典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 ↗Carpentier, J. (1962). Contribution à l'étude du dispatching économique. Bulletin de la Société Française des Électriciens, 8(3), 431-447. link ↗
別名NR Power Flow, Newton-Raphson Load FlowOPF, Economic Dispatch with Constraints
関連33
概要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.Optimal 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.
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ScholarGate手法を比較: Newton-Raphson Power Flow · Optimal Power Flow. 2026-06-18に以下より取得 https://scholargate.app/ja/compare