A delta connected load with Zab=3 + j2 Ohm, Zbc=3 + j4 Ohm and Zca=2+j3 Ohm are connected the end of a three-phase line as shown in the figure. The line impedance is 1+j2 Ohm per phase. The line is supplied from a three-phase source with line-to-line voltage of Vab=200.0/0° V rms. Taking the phase current vector Iab as the reference vector, determine; (a) Line current Ia. (b) Total complex power supplied from the source. c) Magnitude of the line-to-line voltage at the load terminal. ao- bo Co ww m 1+j2 b

A delta connected load with Zab=3 + j2 Ohm, Zbc=3 + j4 Ohm and Zca=2+j3 Ohm are connected the end of a three-phase line as shown in the figure. The line impedance is 1+j2 Ohm per phase. The line is supplied from a three-phase source with line-to-line voltage of Vab=200.0/0° V rms. Taking the phase current vector Iab as the reference vector, determine; (a) Line current Ia. (b) Total complex power supplied from the source. c) Magnitude of the line-to-line voltage at the load terminal. ao- bo Co ww m 1+j2 b

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Single Phase AC Circuit

Alternating Current (AC) is a type of electric power in which the electric current changes, both in magnitude and direction, at regular intervals. This AC Circuits can deliver power in either a Single Phase system or a Three Phase system.

Question

A delta connected load with Zab=3 + j2 Ohm, Zbc=3 + j4 Ohm and Zca=2 + j3 Ohm are connected the
end of a three-phase line as shown in the figure. The line impedance is 1+j2 Ohm per phase. The line
is supplied from a three-phase source with line-to-line voltage of Vab=200.0/0° V rms. Taking the
phase current vector lab as the reference vector, determine;
(a) Line current Ia.
(b) Total complex power supplied from the source.
(c) Magnitude of the line-to-line voltage at the load terminal.
ao-
bo-
Co-
1+j2
b
a

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Step 1: Brief introduction about the question

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Step 2: Conversion of the delta connected load into star connected load

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Step 3: Drawing the per phase equivalent circuit and per phase supply voltage

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Step 4: Determination of current in phase a.

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Step 5: Determination of total complex power supplied by the source.

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Step 6: Determination of the magnitude of line-to-line voltage at the load terminal.

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