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T/F: power transfer capability vs line length

Short answer

FALSE. Power transfer capability decreases as line length increases because line reactance grows with length, so maximum power falls roughly as 1/L. Voltage drop also increases, further limiting capability.

State and justify whether the following statement is TRUE or FALSE: Power transfer capability of a transmission line increases with increase in line length.

FALSE. Power transfer capability decreases as line length increases.

  • Maximum power across a line: Pmax=VsVrXP_{max} = \frac{V_s V_r}{X}, and X=xLX = xL grows with length, so PmaxP_{max} falls roughly as 1/L1/L (stability limit).
  • Voltage drop also grows with length, so the voltage-regulation limit is reached at lower power.
  • Only short lines (below about 80 km) are limited by the thermal rating, which does not depend on length.

The line capability curve shows this: power capability in multiples of SIL is about 2.75×SIL2.75 \times SIL at 80 km, 1.75×SIL1.75 \times SIL at 240 km and only 0.75×SIL0.75 \times SIL at 640 km.

✓ Answer checked by Claude Opus 5.5 (high effort)

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