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For the 13-kVA, 1540/220-V transformer shown in Figure (2): a) Calculate the full-load voltage regulation at 0.75 lagging power factor, 1.0 power factor, and 0.75 leading power factor using the exact equation for Vp. b) What is the efficiency of the transformer at full load with a power factor of 0.75 leading?

For the 13-kVA, 1540/220-V transformer shown in Figure (2): a) Calculate the full-load voltage regulation at 0.75 lagging power factor, 1.0 power factor, and 0.75 leading power factor using the exact equation for Vp. b) What is the efficiency of the transformer at full load with a power factor of 0.75 leading?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the 13-kVA, 1540/220-V transformer shown in Figure (2): a) Calculate the full-load voltage regulation at 0.75 lagging power factor, 1.0 power factor, and 0.75 leading power factor using the exact equation for Vp. b) What is the efficiency of the transformer at full load with a power factor of 0.75 leading? 0.042 2 j 0.048 2. Is Vp 4.49 www j 6.5 Q 95 ΚΩ [j8 ΚΩ Figure (2) Vs
Transcribed Image Text:For the 13-kVA, 1540/220-V transformer shown in Figure (2): a) Calculate the full-load voltage regulation at 0.75 lagging power factor, 1.0 power factor, and 0.75 leading power factor using the exact equation for Vp. b) What is the efficiency of the transformer at full load with a power factor of 0.75 leading? 0.042 2 j 0.048 2. Is Vp 4.49 www j 6.5 Q 95 ΚΩ [j8 ΚΩ Figure (2) Vs
Expert Solution
Step 1

Given,

E1 = 1540 VE2 = 220 V

Z1 = 4.4 + j6.5 ΩZ2 = 0.042 + j0.048 Ω

Where,

R1 = 4.4 ΩR2 = 0.042 Ω

Now, K-factor is given by,

K = E2E1  = 2201540 = 0.14

Req = R1+R2' = R1+R2K2 = 4.4 + 0.042(0.14)2Req = 4.4 + 0.0420.0196 Req = 6.54 Ω

Similarly,

Xeq = X1+X2' = X1+X2K2 = 6.5 + 0.048(0.14)2Xeq = 6.5 + 0.0480.0196 Xeq = 8.94 Ω

 

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