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Answer to Question #155190 in Electrical Engineering for Mina malik

Question #155190

A single phase overhead transmission line delivers 4000 kW at 11 kV at 0·8 p.f. lagging. If resistance and reactance per conductor are 0·15 Ω and 0·02 Ω respectively, calculate:

(i) percentage regulation

(ii) sending end power factor

(iii) line losses

1
2021-01-19T05:19:58-0500

"P = 4KW, V_R=11KV, cos(\\phi_R)=0.8, r=0.15\\Omega, X=0.02\\Omega"

"I = \\frac{P}{V_R cos(\\phi_R)} = \\frac{4000\\times 100}{11000\\times 0.8}=454.54A"

(i) Percentage regulation, "= \\frac{V_s-V_R}{V_R}\\times 100 = \\frac{V_R+I(r+jX)-V_R}{V_R}\\times 100 = \\frac{454.54(0.15+0.02j)}{11000} \\times 100 = 0.624"

(ii) Sending end power factor, "\\frac{V_R cos(\\phi_R) +IR}{V_s} = \\frac{(11000\\times 0.8)+(454.54\\times 0.15)}{(11000\\times 0.8)+(454.54\\times (0.15+0.02j))}=0.99"

(iii) Line loss, "I^2R = (454.54^2 \\times 0.15) = 30.98 5 KW"

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