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Y-Δ transform
The Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify the analysis of an electrical network. The name derives from the shapes of the circuit diagrams, which look respectively like the letter Y and the Greek capital letter Δ. This circuit transformation theory was published by Arthur Edwin Kennelly in 1899.〔A.E. Kennelly, "Equivalence of triangles and three-pointed stars in conducting networks", ''Electrical World and Engineer'', vol. 34, pp. 413–414, 1899.〕 It is widely used in analysis of three-phase electric power circuits.
The Y-Δ transform can be considered a special case of the star-mesh transform for three resistors. In mathematics, the Y-Δ transform plays an important role in theory of circular planar graphs.〔E.B. Curtis, D. Ingerman, J.A. Morrow, (Circular planar graphs and resistor networks ), ''Linear Algebra and its Applications'', vol. 238, pp. 115–150, 1998.〕
==Names==
The Y-Δ transform is known by a variety of other names, mostly based upon the two shapes involved, listed in either order. The Y, spelled out as wye, can also be called T or star; the Δ, spelled out as delta, can also be called triangle, Π (spelled out as pi), or mesh. Thus, common names for the transformation include wye-delta or delta-wye, star-delta, star-mesh, or T-Π.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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