เปรียบเทียบวิธี

	ส่วนประกอบสมมาตร	Optimal Power Flow
สาขาวิชา	วิศวกรรมไฟฟ้า	วิศวกรรมไฟฟ้า
ตระกูล	Process / pipeline	Process / pipeline
ปีกำเนิด	1918	1962
ผู้ริเริ่ม	Charles Legeyt Fortescue	Jean Carpentier
ประเภท	Decomposition method for analyzing unbalanced three-phase circuits	Nonlinear constrained optimization for power system operation
แหล่งต้นตำรับ	Fortescue, C. L. (1918). Method of symmetrical co-ordinates applied to the solution of polyphase networks. AIEE Transactions, 37(2), 1027-1044.	Carpentier, J. (1962). Contribution à l'étude du dispatching économique. Bulletin de la Société Française des Électriciens, 8(3), 431-447.
ชื่อเรียกอื่น	Symmetrical component analysis, Phase component decomposition	OPF, Economic Dispatch with Constraints
ที่เกี่ยวข้อง	3	3
สรุป	Symmetrical Components is a mathematical technique for analyzing unbalanced three-phase electrical circuits by decomposing them into balanced component sets. Introduced by Charles Fortescue in 1918, the method transforms the complex analysis of unbalanced systems into simpler balanced equivalent circuits. Symmetrical components are fundamental to understanding faults, protection coordination, and stability in power systems, remaining essential in modern grid operations.	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.