قارن الطرق

	تدفق الطاقة الأمثل	حلقة قفل الطور (Phase-Locked Loop - PLL)
المجال	الهندسة الكهربائية	الهندسة الكهربائية
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1962	1966
صاحب الطريقة	Jean Carpentier	Floyd M. Gardner
النوع	Nonlinear constrained optimization for power system operation	Feedback control loop for frequency and phase synchronization
المصدر التأسيسي	Carpentier, J. (1962). Contribution à l'étude du dispatching économique. Bulletin de la Société Française des Électriciens, 8(3), 431-447.	Gardner, F. M. (1966). Phaselock Techniques. Wiley & Sons.
الأسماء البديلة	OPF, Economic Dispatch with Constraints	PLL, Phase lock, Frequency synchronizer
ذات صلة	3	3
الملخص	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.	A Phase-Locked Loop (PLL) is a feedback control system that synchronizes an output oscillator to match the phase and frequency of an input signal. Introduced by Gardner in 1966, PLLs are ubiquitous in communications, radar, clock distribution, and power systems. The PLL continuously adjusts its oscillator frequency to minimize the phase error with the input, achieving lock. PLLs are fundamental to modern electronic systems.