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	Przepływ mocy optymalny	Przepływ mocy metodą Newtona-Raphsona	Zadanie alokacji jednostek wytwórczych
Dziedzina	Elektrotechnika	Elektrotechnika	Elektrotechnika
Rodzina	Process / pipeline	Process / pipeline	Process / pipeline
Rok powstania	1962	1967	1959
Twórca	Jean Carpentier	William F. Tinney, Charles E. Hart	Charles J. Baldwin
Typ	Nonlinear constrained optimization for power system operation	Iterative solution algorithm for power system steady-state analysis	Combinatorial optimization for generator turn-on/turn-off scheduling
Źródło pierwotne	Carpentier, J. (1962). Contribution à l'étude du dispatching économique. Bulletin de la Société Française des Électriciens, 8(3), 431-447.	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.	Baldwin, C. J., Dale, K. M., & Dittrich, R. F. (1959). A study of the economic shutdown of generating units in daily dispatch. AIEE Transactions, 78(3), 272-282.
Inne nazwy	OPF, Economic Dispatch with Constraints	NR Power Flow, Newton-Raphson Load Flow	UC, Generator Commitment, Thermal Unit Scheduling
Pokrewne	3	3	3
Podsumowanie	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.	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.	Unit Commitment (UC) is the problem of deciding which power generation units should be switched on or off over a planning horizon (typically 24-168 hours) to minimize total operating cost while meeting demand and reserve requirements. Introduced by Baldwin et al. in 1959, UC is a fundamental scheduling problem in power system operations, combining combinatorial optimization (which units to commit) with continuous optimization (optimal power output). UC remains one of the most important and computationally challenging problems in power systems.