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A 3-phase, 50 Hz. 12 km long overhead line supplies 1200 kW at 33 kV. 0-8 p.f. lagging. The line resistance is 0.04 ohm per phase per km and line inductance is 0.7 mH per phase per km. Calculate the sending end voltage, voltage regulation of this line.

A 3-phase, 50 Hz. 12 km long overhead line supplies 1200 kW at 33 kV. 0-8 p.f. lagging. The line resistance is 0.04 ohm per phase per km and line inductance is 0.7 mH per phase per km. Calculate the sending end voltage, voltage regulation of this line.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A 3-phase, 50 Hz. 12 km long overhead line supplies 1200 kW at 33 kV. 0-8 p.f. lagging. The line resistance is 0.04 ohm per phase per km and line inductance is 0.7 mH per phase per km. Calculate the sending end voltage, voltage regulation of this line.
Transcribed Image Text:A 3-phase, 50 Hz. 12 km long overhead line supplies 1200 kW at 33 kV. 0-8 p.f. lagging. The line resistance is 0.04 ohm per phase per km and line inductance is 0.7 mH per phase per km. Calculate the sending end voltage, voltage regulation of this line.
Expert Solution
Step 1

We have a 3-phase overhead line having,

frequency (f) = 50 Hz

Length of the line (l) = 12 Km

Output power (P) = 1200 KW

Line voltage (V) = 33 KV = 33000 V

Power factor (Cos ϕ) = 0.8 PF

Line resistance per km = 0.04 Ω/km

Line inductance per phase per km = 0.7 mH/km = 0.7 * 10-3 H/km

 

We have been asked to find the ,

  1. Sending end voltage
  2. Voltage regulation

 

Resistance of the line per phase (R) = 0.04 * 12 = 0.48 Ω                 (As length of line is 12 Km)

 

Reactance of the each conductor = 2πf L * 12 = 2π * 50 * (0.7 * 10-3)  * 12

reactance of each conductor = 2.63 Ω

Receiving end voltage/phase (VR) = 330003 = 19052.55 V

 

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