A 50 km, 50 Hz three-phase transmission line has a resistance of 0.01 Q/km and an inductance of 63.6 µH/km per phase. The receiving end is supplying a wye-connected load of 500 kVA at a 0.8 lagging power factor. The receiving end terminal voltage is 11 kVL-L. If the receiving end voltage phase is used as reference, determine the followings: (a) The total line impedance per phase. (b) The load current and sending end voltage terminal values. (c) The voltage regulation percentage. (d) The efficiency of the transmission line.

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A 50 km, 50 Hz three-phase transmission line has a resistance of 0.01 Q/km and an
inductance of 63.6 µH/km per phase. The receiving end is supplying a wye-connected
load of 500 kVA at a 0.8 lagging power factor. The receiving end terminal voltage is
11 kVL-L. If the receiving end voltage phase is used as reference, determine the
followings:
(a) The total line impedance per phase.
(b) The load current and sending end voltage terminal values.
(c) The voltage regulation percentage.
(d) The efficiency of the transmission line.
Transcribed Image Text:A 50 km, 50 Hz three-phase transmission line has a resistance of 0.01 Q/km and an inductance of 63.6 µH/km per phase. The receiving end is supplying a wye-connected load of 500 kVA at a 0.8 lagging power factor. The receiving end terminal voltage is 11 kVL-L. If the receiving end voltage phase is used as reference, determine the followings: (a) The total line impedance per phase. (b) The load current and sending end voltage terminal values. (c) The voltage regulation percentage. (d) The efficiency of the transmission line.
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