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Three-Phase Power Calculations 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 Z = 0.5 +j N 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 Iạ. Write the phasor expressions of I, and I.. IcA I, Zi V b B Isc Za Figure 1

Three-Phase Power Calculations 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 Z = 0.5 +j N 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 Iạ. Write the phasor expressions of I, and I.. IcA I, Zi V 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
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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three phase power calculation

Three-Phase Power Calculations The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab 519.62|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 Iç. d) Calculate the total complex power (S), total average power (P) and the total reactive power (Q) absorbed by the three-phase load. e) Calculate the power factor ( pf ) of the three-phase load. f) Calculate the total complex power (S,), the total real power (Ps), and the total reactive power (Q) absorbed by the three-phase source. State whether the 3-phase source delivers or absorbs real power and reactive power. LAB ICA I, ZI C b B IBC ZA Figure 1 Reminder: V„ = /3 V 30°; Complex power: S=V,1, =|I|† Z =|S||0 = P+ jQ . Here, Vp is the rms phasor of the phase voltage and I, is rms phasor of the phase current. Caution! Show all the steps of complex algebra operations and write the units of all results.
Transcribed Image Text:Three-Phase Power Calculations The three-phase circuit shown in Figure 1 is composed of a balanced three-phase A-connected voltage source with Vab 519.62|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 Iç. d) Calculate the total complex power (S), total average power (P) and the total reactive power (Q) absorbed by the three-phase load. e) Calculate the power factor ( pf ) of the three-phase load. f) Calculate the total complex power (S,), the total real power (Ps), and the total reactive power (Q) absorbed by the three-phase source. State whether the 3-phase source delivers or absorbs real power and reactive power. LAB ICA I, ZI C b B IBC ZA Figure 1 Reminder: V„ = /3 V 30°; Complex power: S=V,1, =|I|† Z =|S||0 = P+ jQ . Here, Vp is the rms phasor of the phase voltage and I, is rms phasor of the phase current. Caution! Show all the steps of complex algebra operations and write the units of all results.
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