A balanced 3-phase 50 Hz overhead line has conductors at an equilateral triangle’s vertices with all spacings 1 m. Resistance is neglected and each conductor GMR is 0.01 m. Neglect ground effects. Positive-sequence reactance in Ω/km, to three decimals, is ________.
For equilateral spacing, the positive-sequence inductance per phase is $L=2\times10^{-7}\ln(D/GMR)$ H/m.
Here D/GMR=100, so L=$9.21034\times10^{-7}$ H/m. Convert to per kilometre and multiply by 2π50: $$X_1=2\pi(50)(1000)(2\times10^{-7})\ln100.$$ This is 0.289351 Ω/km, or **0.289 Ω/km**.
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