Question

Solved: Find Vo in the network in x + /u/0/?tab=rm&ogbl#inbox?projector=1 7. (a) Use source superposition to find Vo in the following circuit: 12/ov +-120 2/AC) (b) An industrial load consumes 100 kW at 0.707 pflagging. The 60 H line voltage at the load is 480 4V rms. The transmission-line resistance between the power company transformer and the load is 0.1 22. Determine the power savings that could be obtained if the pf is changed to 0.96 logging 0.10 w 480 Vrms P = 100 kW pf -0.707 lagging (e) Determine the real power, the reactive power, the complex power, and the power factor for a load with I=3/30 V mm, V-480/80 Vrms.

Answer 1

(0) The circuit has two sources, consider Current source & sholt igauit voltage source mi Apply mesh Analysis from bop 1-2 Amps from loop rizi+(2-1) (34-32)=0 =) ziz Hiz-_) (12) =0 -= 1j2tis (2-2)=0-0 Substitute 22 in equation . iptiz (2-52) 20 167 34 - -*+ si Ampp. How Vo= voltage Acrop8252 Vo= 12x2 = (1+51) x2 5:02+52 Vo = 2.828 2:35 Volta:

Nos consider voltage source of open cigauit Current source from loop 1228 = 1 (-32+34) +(2) DES = 1 (2+33) = 2 = 3-j3 Ampp. 2+ 2 Vo= vollage Acrops son 5 -,x2 = (-3+j3)x2 = Vo = -6+36 = 8.485(2-356 volts: Dotat o ditc h to via source c Vo= Vo due to current source + Vo due to vas = (-2+32) + (-6 +36) -8 ti8 volte Vo = 11:313 /2.356

M 7 Iams Vs ☺ 44800 Sims PL= 100KW P. f = 0.787log/ PL = 100 kW. = VI coso, coso =0.767, Vrms=4800 =)100 kW = 480 x 1x0.707 . . 100 x103 ms 294.672 Amps 480x0-707 Vs(ams)= VR + vily drop 4+80+ Colx 2946-12 Vs - 509.46 volts / Input power = Vsx Frums = 509.464 294.672 S = 150125 VA is = 150.125 kVA - Now p. f = 0.96 lag PLAVI cost lookw = 480*I*0.96 1m - toos” 480x0.96 = 917 Ampp:

ins} = VR + (voltage drop) = 480+ (Imst 0.1) =480+(21740) = 480+ 21-7 Vsfers) = 501-1 volt .S= Vscams x Ilms = 50114287 108869VA 3 = 108.869 KVA Now P. wer i Saving = Sold-Sheld - 150105-108869 = 41256 VA S soving = 41-256 KIA O pis 16 7 63.4I VAR, S=14401A D=31300 P=1438.596 V = 480 230V Total Power (3) = Vx2 =480 480) * (3236) Ts 3.-1438:59-363.71 VA . Total Low I s. = 1440 /-3.10 VA S=-1438.59-163.11 Compare with s=ptia => [p = -1438.59 Waits : a = -63-11 VAR. Real power Reactive power
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