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    Surge impedance loading of a lossless 200 kV three phase 50Hz overhead line of average surge impedance of 400Ω is
    Question

    Surge impedance loading of a lossless 200 kV three phase 50Hz overhead line of average surge impedance of 400Ω is

    A.

    200MW

    B.

    1600 MW

    C.

    100 MW

    D.

    400 MW

    Correct option is C

    The surge impedance loading (SIL) of a lossless three-phase transmission line is given by:SIL=VL2Zcwhere: VL= line-to-line voltage (kV) Zc= surge (characteristic) impedance (Ω)Given VL=200 kV Zc=400 ΩCalculationSIL=(200)2400SIL=40000400=100 MW\text{The surge impedance loading (SIL) of a lossless three-phase transmission line is given by:} \\[8pt]\text{SIL} = \frac{V_L^2}{Z_c} \\[10pt]\text{where:} \\[6pt]\bullet \ V_L = \text{ line-to-line voltage (kV)} \\[4pt]\bullet \ Z_c = \text{ surge (characteristic) impedance } (\Omega) \\[12pt]\textbf{Given} \\[6pt]\bullet \ V_L = 200 \text{ kV} \\[4pt]\bullet \ Z_c = 400 \, \Omega \\[14pt]\textbf{Calculation} \\[8pt]\text{SIL} = \frac{(200)^2}{400} \\[10pt]\text{SIL} = \frac{40000}{400} = 100 \text{ MW}​​

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