Y-Δ transform

<p>In <a href="/facts/Circuit_design/wVL89XsX">circuit design</a>, the Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify <a href="/facts/Network_analysis_(electrical_circuits)/IjmVqbG8">the analysis</a> of an <a href="/facts/Electrical_network/zt94kTW0">electrical network</a>. The name derives from the shapes of the <a href="/facts/Circuit_diagram/Vqk3udN0">circuit diagrams</a>, which look respectively like the letter Y and the Greek capital letter <a href="/facts/%25CE%2594/82YCoGWK">Δ</a>. This circuit transformation theory was published by <a href="/facts/Arthur_Edwin_Kennelly/MjkargSj">Arthur Edwin Kennelly</a> in 1899. It is widely used in analysis of <a href="/facts/Three-phase_electric_power/YXY3bQCx">three-phase electric power</a> circuits. 
</p><p>The Y-Δ transform can be considered a special case of the <a href="/facts/Star-mesh_transform/UmILHEzM">star-mesh transform</a> for three <a href="/facts/Resistor/JrsGReM6">resistors</a>.  In mathematics, the Y-Δ transform plays an important role in theory of circular <a href="/facts/Planar_graph/plREagr9">planar graphs</a>.
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Y-Δ transform open-in-new

Y-Δ transform