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I. Z The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab519.62|60° V having a phase sequence of abc. A balanced three-phase A-connected load impedances of Za=21+j36 Q per phase, and line impedances of Zi = 0.5 + j Q per phase. a) Transform the A-A connected circuit to Y-Y connected circuit, and write the values of the circuit elements. b) Draw the single-phase equivalent circuit of the Y-Y connected circuit, and write the values of the circuit elements. c) Calculate the line current I,. Write the phasor expressions of I, and I. LIB b B Isc Za Figure 1

I. Z The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab519.62|60° V having a phase sequence of abc. A balanced three-phase A-connected load impedances of Za=21+j36 Q per phase, and line impedances of Zi = 0.5 + j Q per phase. a) Transform the A-A connected circuit to Y-Y connected circuit, and write the values of the circuit elements. b) Draw the single-phase equivalent circuit of the Y-Y connected circuit, and write the values of the circuit elements. c) Calculate the line current I,. Write the phasor expressions of I, and I. LIB b B Isc Za Figure 1

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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Three-Phase Power Calculations

Three-Phase Power Calculations I ZI The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab519.62|60° V having a phase sequence of abc. A balanced three-phase A-connected load impedances of Za= 21 +j36 Q per phase, and line impedances of Zi = 0.5 +jQ per phase. a) Transform the A-A connected circuit to Y-Y connected circuit, and write the values of the circuit elements. b) Draw the single-phase equivalent circuit of the Y-Y connected circuit, and write the values of the circuit elements. c) Calculate the line current Ia. Write the phasor expressions of I, and Ic. A LAB I, ZI ICA B IBC ZA I Z Figure 1 Reminder: V = 3 v„ 30°; Complex power: S=V,1, =|1| Z = |S||0 = P + jQ . Here, Vp is the rms phasor of the phase voltage and Ip is rms phasor of the phase current.
Transcribed Image Text:Three-Phase Power Calculations I ZI The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab519.62|60° V having a phase sequence of abc. A balanced three-phase A-connected load impedances of Za= 21 +j36 Q per phase, and line impedances of Zi = 0.5 +jQ per phase. a) Transform the A-A connected circuit to Y-Y connected circuit, and write the values of the circuit elements. b) Draw the single-phase equivalent circuit of the Y-Y connected circuit, and write the values of the circuit elements. c) Calculate the line current Ia. Write the phasor expressions of I, and Ic. A LAB I, ZI ICA B IBC ZA I Z Figure 1 Reminder: V = 3 v„ 30°; Complex power: S=V,1, =|1| Z = |S||0 = P + jQ . Here, Vp is the rms phasor of the phase voltage and Ip is rms phasor of the phase current.
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