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30 Points A balanced A-connected load consisting of a pure resistance of 18 per phase is in parallel with a purely sistive balanced Y-connected load of 12 per phase as shown in Figure 3. The combination is connected to a three-phase balanced supply of 346.41-V ims (line-to-line) via a three-phase line having an inductive reactance of 30 per phase. Taking the phase voltage Vas as reference, determine: (a) The current, real power and reactive power drawn from the supply (b) The line-to-neutral and the line-to-line voltage of phase A at the combined load terminals. (c) The current per phase in each load. 30 1-346.41 V 1802) 30 ca 3120 Figure 2 Circuit for problem 3

Answer 1

Answer- 18 = 60 182, 3,182 63 Equivalent stars tолч 182 circuit - For phase (a) Perphase equivalent 32 A a mno v {122 Ii 1 V Van = 346.41 = 2000 or resistances are and As 12 n in parallel so 12x6 =42 Req= 72 to

Ē= Vana Rea+j3 200 Lo 3 +4. 13 5 Is = 60 (-36.87° Coms) Complex power supplied by sources Ŝ = 3 Van Ist Š = 3x 200x40 /+36-87° § = 24 (36.87' KUA supplied by source. Real power p= 24% (06 3687° TP = 19.2 kW ? supplied by source- Reactive power Q = 24x sin 36.870 Q 14.4 KVAR phassa) B) Line to neutral voltage of VAN = Van a Est 13 = 200 (0° - 40/-36.87 x 13

VAN = 160/-36.87° volt Line to Line voltage Veine = For I; 53x160 = 2770128 Volt load-1 [ Y] Is x 6 T2+6 I, 40 /-36.87 x6 T8 Ij = 13-33 (-36.87° A For load 2-(o) connected In = Is x 12 = 40 (-36.89* XI? 12+6 I, = 26.67 /-36.87. A in (0) As load-2 is actually connected So Ipnafe z Iz = 2662 = 15-397 A 13