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For a transmission line with negligible losses, the lagging reactive power (VAR) delivered at the receiving end, for a given receiving end voltage, is directly proportional to the

  • For a transmission line with negligible losses, the lagging reactive power (VAR) delivered at the receiving end, for a given receiving end voltage, is directly proportional to the Line voltage drop.
  • In a lossless transmission line, the voltage at the receiving end of the line will be lower than the voltage at the sending end due to the voltage drop along the line.
  • This voltage drop is due to the reactive power component of the power being transmitted, which causes a phase shift between the current and voltage along the line.
  • This phase shift results in a drop in voltage along the line, which is proportional to the reactive power being transmitted.
  • Since the reactive power delivered to the receiving end of the line is proportional to the voltage drop along the line, it is also directly proportional to the line voltage drop.
  • Therefore, for a given receiving end voltage, the lagging reactive power delivered at the receiving end of a lossless transmission line is directly proportional to the line voltage drop.