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Delta-Wye Connections

# Delta-Wye Connections - ⋅ Z BC Z CA Z AB ⋅ Z CA Z BC Z...

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Generating Equations for Equal Impedance between all Terminals Z A Z B + Z AB Z BC Z CA + ( ) Z AB Z BC + Z CA + = Z B Z C + Z BC Z CA Z AB + ( ) Z AB Z BC + Z CA + = Z A Z C + Z CA Z BC Z AB + ( ) Z AB Z BC + Z CA + = 1 0 1 1 1 0 0 1 1 Z A Z B Z C 1 Z AB Z BC + Z CA + Z AB Z BC Z CA + ( ) Z BC Z CA Z AB + ( ) Z CA Z BC Z AB + ( ) = Equation System for all three Y-Elements: Solution for Equation System: Z A Z B Z C 1 0 1 1 1 0 0 1 1 1 1 Z AB Z BC + Z CA + Z AB Z BC Z CA + ( ) Z BC Z CA Z AB + ( ) Z CA Z BC Z AB + ( ) = Solution for Equation System using MathCAD's symbolic Operators: 1 0 1 1 1 0 0 1 1 1 1 Z AB Z BC + Z CA + Z AB Z BC Z CA + ( ) Z BC Z CA Z AB + (
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Unformatted text preview: ⋅ Z BC Z CA Z AB + ( ) ⋅ Z CA Z BC Z AB + ( ) ⋅ ⋅ simplify Z AB Z CA Z AB Z BC + Z CA + ( ) ⋅ Z AB Z BC Z AB Z BC + Z CA + ( ) ⋅ Z BC Z CA Z AB Z BC + Z CA + ( ) ⋅ → Symmetrical Load: R ∆ 2 R ∆ ⋅ ( ) ⋅ 3 R ∆ ⋅ 2 R Y ⋅ = 2 3 R ∆ ⋅ 2 R Y ⋅ = R Y R ∆ 3 =...
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