A wye-connected generator generates a voltage of 180 V rms as
shown in Fig. 9.8. For abc phase sequence, write down the phase and line voltages.
The phase voltages are,
V_{\mathrm{an}}=180|\underline{{{0^{\circ}}}} (9.29)
V_{\mathrm{bn}}=180|\underline{{{-120^{\circ}}}}\mathbf{V} (9.30)
V_{\mathrm{cn}}=180|\underline{{{-240^{\circ}}}}\mathbf{V} (9.31)
The line voltages are calculated as,
V_{\mathrm{ab}}={\sqrt{3}}\times180|\underline{30^{\circ}}=311.77|\underline{30^{\circ}}\mathrm{V} (9.32)
V_{\mathrm{bc}}={\sqrt{3}}\times180|\underline{{}-120^{\circ}+30^{\circ}}=311.77|\underline{-90^{\circ}}VV_{\mathrm{ca}}={\sqrt{3}}\times180|\underline{{}-240^{\circ}+30^{\circ}}=311.77|\underline{-210^{\circ}}V (9.34)