The figure represents a balanced 3-phase distribution system, sequence ABC, 60 Hz.208VAB = 12.5 20° kV (load voltage), and the impedance of the line is (5 +j10) 2/phase.metix mmO A.15.0O B. 13.8O C. 13.0O D. 11.9aght 2020 by NCFESOR+jXWRmMwRR+jX mI₂A11IBICCIf IaA = 702-20°, then the magnitude Vab in kV is most nearly:B2375A12.5Zof TZ12.5150C1

A balanced 3-phase distribution system having phase swquence ABC.The supply frequency, f = 60 Hz. The load voltage, VAB=12.5∠0∘ kV.The line impedance, Zline=R+jX=(5+j10) Ω/phase.The line current, IaA=70∠−20∘ A.We need to determine the magnitude, |Vab| in kV.The phase sequence is ABC. Hence, the line currents are⇒IbB=70∠(−20∘−120∘) A=70∠(−140∘) A.⇒IcC=70∠(−140∘−120∘) A=70∠(−260∘) A.By writing KVL equation in loop 'a-A-B-b-a',⇒−Vab+(R+jX)IaA+VAB+(R+jX)(−IbB)=0 ;⇒Vab=(R+jX)[IaA−IbB]+VAB ; ⇒Vab=(5+j10)[(70∠−20∘)−(70∠−140∘)]+12.5×103∠0∘ ;⇒Vab=12951.806∠5.75∘ V.⇒Vab≈13∠5.75∘ kV.The magnitude, |Vab| in kV is⇒|Vab|≈13 kV.Option (C) : 13.0 kV.

Answered: O A. O B. O C. O D. 10 15.0 13.8 13.0…

Engineering

Electrical Engineering

O A. O B. O C. O D. 10 15.0 13.8 13.0 11.9 b O C metix m WR+jx I₂A IbB ICC B If IaA = 702-20°, then the magnitude Vab) in kV is most nearly: 175.27 12.5 Z 12,5 C 1

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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