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Star and delta connections
Three-phase sources and loads are commonly connected in star (wye) or delta configurations.
Star connection
In a star connection, one end of each phase is joined at a common neutral point. The other ends connect to the three line conductors.
For a balanced star system,
$$V_L=\sqrt3,V_{\mathrm{ph}},$$
while
$$I_L=I_{\mathrm{ph}}.$$
Here the subscripts $L$ and $\mathrm{ph}$ denote line and phase quantities.
Delta connection
In a delta connection, the three phase elements form a closed triangle and each line conductor connects to one corner.
For a balanced delta system,
$$V_L=V_{\mathrm{ph}},$$
and
$$I_L=\sqrt3,I_{\mathrm{ph}}.$$
Phase shift
The factors of $\sqrt3$ arise from vector addition of quantities separated by $120^\circ$, not from ordinary scalar addition. The corresponding line and phase quantities also have a $30^\circ$ phase relationship under standard phase sequences.
Star and delta connections therefore change how component ratings relate to the line voltages and currents seen by the power system.