Power System Analysis And Design, 6th Edition Test Bank

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Quiz 1ECE 4761.Two balanced three-phase loads are in parallel.a.Load 1 draws 10 kW at 0.8 PF laggingb.Load 2 draws 20 kVA at 0.6 PF leadingThe loads are supplied by a balanced three-phase 480 VLLsource.(a)Draw the power triangle for the combined load.SL= 23.59kVAQL= Q1+ Q2= -8.5 kVARPL= P1 +P2= 22 kW21.12Β°(b)Determine PF of the combined load.cos21.12Β° = 0.933 leading(c)Determine the magnitude of the line current from the source.𝐼𝐿=π‘†πΏβˆš3𝑉𝐿𝐿=23.59Γ—103√3Γ—480= 28.37 𝐴(d)Y-connected inductors are now installed in parallel with the combined load. What value ofinductive reactance is needed in each leg of the Y to make the source power factor unity?𝑄𝐼𝑛𝑑= |𝑄𝐿| = 8.5 Γ— 103𝑉𝐴𝑅 =3(𝑉𝐿𝑁)2𝑋Y𝑋Y=3(480/√3)28.5Γ—103= 27.1 Ξ©

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