Wye Delta Transformation | Diagram & Formula | Application

Wye Delta Transformation | Diagram & Formula | Application

Wye Delta Transformation is used to establish equivalence for networks with three terminals.

Wye delta transformation and its application:

Situations often arise in circuit analysis when the resistors are neither series are nor in parallel. The transformation is used to establish equality for networks with 3  terminals. Where 3  component terminates at a common node and none are sources, the node is eliminated by transforming the impedances. For equivalence, the resistivity between any combination of terminals should be constant for each network.

1. Wye-Delta transformation is also called as start-delta transformation.

2. Wye-Delta Transformation is a technique to reduce common resistor connections that are neither series nor parallel.

In many circuit applications, we encounter components attached together in one of two ways to form a three-terminal network:

Delta, also known as the pi network configuration.

Star, also known as the wye (Y) network configuration.

wye delta transformation

wye delta transformation

Conversion from delta to wye:

wye delta transformation

Find Ra, Rb, Rc

wye delta transformationwye delta transformation                                         wye delta transformation

Conversion from Wye to Delta:

wye delta transformation

Find Rab, Rbc, Rac

wye delta transformation

wye delta transformation

wye delta transformation

TRANSFORMATION

Star Delta Transformation:

wye delta transformation

wye delta transformation

wye delta transformation

wye delta transformation

Delta Star Transformation:

wye delta transformation

wye delta transformation       wye delta transformation

wye delta transformation

Formulas

Star to Delta:

wye delta transformation

wye delta transformation

wye delta transformation

Delta to Star:

wye delta transformation

wye delta transformation

wye delta transformation

Where R is the symbol of resistance and measured in ohm,

wye delta transformation

Related Link

Δ-Y- Conversion: Transformation | Diagram & Formula

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