A balanced, star-connected three-phase voltage source is connected to an unbalanced star-connected three-phase load as shown in Figure Q3 below:
Z
N
S
Zc
B 18
BN
c
Figure Q3
The circuit for question 3
The phase voltage phasors and the loads are:
VAN = 230 ∠0° V (rms)
VBN = 230 ∠-120° V (rms)
Vcn = 230 ∠120° V (rms)
Oo07 0I = vZ
ZB = 15 ∠45° Ω
Zc = 20.02 ∠29.81° Ω
(a)
Given that the total complex power (Stot) consumed by the three-phase load is 10772 ∠20.7° VA, calculate phase currents IA, IB, lc, and neutral return current Iv. Calculate complex powers Sa, SB, So for each load. Prove that the phase impedance Zc = 17.37 + 9.95i (20.02 ∠29.81°) 2. Show full workings.