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

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.36P: Three single-phase two-winding transformers, each rated 25MVA,34.5/13.8kV, are connected to form a...
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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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