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 LAB Qv. balanced three-phase A-connected load impedances of Za= 21 +j36 N per phase, and line impedances of Zi = 0.5 +jQ per phase. ICA I, ZI C b B IBC ZA 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 (P,), 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. 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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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
LAB
Qv.
balanced three-phase A-connected load impedances of
Za= 21 +j36 N per phase, and line impedances of
Zi = 0.5 +jQ per phase.
ICA
I, ZI
C
b
B IBC ZA
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 (P,), 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.
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 I, is rms phasor of the phase current.
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 LAB Qv. balanced three-phase A-connected load impedances of Za= 21 +j36 N per phase, and line impedances of Zi = 0.5 +jQ per phase. ICA I, ZI C b B IBC ZA 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 (P,), 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. 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 I, is rms phasor of the phase current.
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