Star and Delta Connection in Inductors

definition

Star-delta transformation of inductors

The star and delta circuits shown in the figures are interconvertible.
The equivalent value of inductance for star to delta transformation is:

L_{R S} = \frac{L _{R} L _{S} + L _{S} L _{T} + L _{R} L _{T}}{L _{T}}

L_{R T} = \frac{L _{R} L _{S} + L _{S} L _{T} + L _{R} L _{T}}{L _{S}}

L_{S T} = \frac{L _{R} L _{S} + L _{S} L _{T} + L _{R} L _{T}}{L _{R}}

The equivalent value of inductance for delta to star transformation is:

L_{R} = \frac{L _{R S} L _{R T}}{L _{R S} + L _{R T} + L _{S T}}

L_{S} = \frac{L _{R S} L _{S T}}{L _{R S} + L _{R T} + L _{S T}}

L_{T} = \frac{L _{S T} L _{R T}}{L _{R S} + L _{R T} + L _{S T}}

definition