Three Phase Configurations
Load Connected in Star with Neutral Conductor
Line Voltages
$${V}_{\mathrm{ab}}=\mathrm{Dummy\; Text}\angle \mathrm{Dummy\; Text}\mathrm{\xb0\; V}$$ $${V}_{\mathrm{bc}}=\mathrm{Dummy\; Text}\angle \mathrm{Dummy\; Text}\mathrm{\xb0\; V}$$ $${V}_{\mathrm{ca}}=\mathrm{Dummy\; Text}\angle \mathrm{Dummy\; Text}\mathrm{\xb0\; V}$$Complex Power
$$\mathrm{Dummy\; Text}$$Neutral Current
$$\mathrm{Dummy\; Text}$$
$$\text{}$$
In three phase circuit the source as well as load can both be connected either in star or delta. Here the source is star connected. The delta connected source is rarely used in practice.

Here all the three phase configurations are solved considering ABC phase sequence.

In all the configurations the source is star connected and balanced. V_{an} is taken as reference.
Hence the line voltages are, V_{ab}= V_{l}∠30°
V_{bc}= V_{l}∠90° and V_{ca}= V_{l}∠210°.

Although here it is shown star connected source, actually for load side analysis mainly the source side line
voltages and phase angles matter irrespective of star or delta connected source. The star or delta connection at
source side decides the voltage and current rating of the source winding.

If the load is star connected with neutral conductor and Zl = 0 & Zn = 0 then the individual phases can be
analysed. In addition if the load is balanced then solution of one phase can be extended to the other phases for obtaining
balanced line currents. When balanced the total power will be thrice of power consumed in one phase. Similarly
for the delta connected load.

For star connected balanced load the current in the neutral conductor is zero. So the neutral conductor
can be removed without disturbing the line currents or power consumed in the load.

In general any three phase system star or delta connected with or without line/neutral impedance, can be solved by
applying Kirchhoff law or Maxwell loop method. The process further simplifies if the delta connected load
is transformed to equivalent star or Y connection.