AC Electrical Circuit Analysis: Wye-Delta Conversions

Wye-delta conversion can be used to solve certain circuits where a basic series-parallel combination approach will not work. This conversion allows a subcircuit with three terminals to be transformed from a wye (also called Y or T) configuration with a central common point, into an equivalent three terminal circuit in a delta (or pi) configuration arranged in a loop. The reverse (delta-wye) is possible as well. This technique can also be useful when analyzing three phase AC circuits.
Reference: AC Electrical Circuit Analysis; Chapter 5, section 6.
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