Question 9.2: A wye-connected generator generates a voltage of 180 V rms a......

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.

9.8
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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}}V

V_{\mathrm{ca}}={\sqrt{3}}\times180|\underline{{}-240^{\circ}+30^{\circ}}=311.77|\underline{-210^{\circ}}V    (9.34)

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Question: 9.1

Verified Answer:

The phase voltage for line a is, V_{\mathrm...