Question

1) In the balanced Y-Y circuit shown below, let Van=990<0° V (rms) and the load impedance per phase be Zy=60+j35 2. Find the complex power, apparent power, average power, and reactive power of the load (25 marks) 110 os os

Answer 1

Detailed solution is provided in below images :

Given datui shuuroon lifos Y-Y crsicuit A Viggo Lo CRMS) Load impedance per phase 1 2 ² 2 = Goti 354 hod LA IAS A Here source and load both are stus connected. laistus connection I lime voltage = 3 * Phase voltage I and lime current = Phuse cussent - Ida Ipr (2) bo v ca #from equation (1) ty = VAN Pn Hese vos ggo Lov Vis ug *ggo - V = 990 ve v from equution (2) E pha Pь ! Рn 990 60 +j35 ON - 990 69.462730256, 14.2521-30.256 A sitere LE I z Iph =

considering maanitude in 991.2 by Editor 14.252 A L O T d and sino - Now we have to find cos for that we need o po 17. Hesie z= 60ti 25 op To Angle ø= tun - 30-2561 cos (30.256) = 0.8637 = cosa 3 sin (30.256) = 0.5038 = sind 2) Average powes or real powes з роз Р = ІзV, I cosф . . . p = us * og gow3 ) ( 14.252) C 0.86349 Lp = 36559,079 W & Reactive power DE VEVI Sino p=. ggove JC14.252) 00:5.0380 Lo= 2325.068 VAR -> Apparent power 3 (5: 1 (86559.073)+ce 1325.0685 CIST = 423 24.03 g NA Complear power =S 3 PHj2 = 36559.073 tj 2325.06 8. 3= 42324.039 230.255 |

Note : Here answer depends on how much decimal places are considered in values. If you consider more or less decimal places then your answer will be slightly different from answer given in solution.

Hope this answer will help you to solve your queries. Thank you!