Inputs

Calculation note

This is a balanced three-phase nominal-voltage conversion. Meter readings, transformer taps, utility service data, and equipment nameplates govern field values.

Method

Line-line voltage = line-neutral voltage x sqrt(3)

Line-neutral voltage = line-line voltage / sqrt(3)

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Formula variables

  • Line-neutral voltage is measured from one phase conductor to neutral.
  • Line-line voltage is measured between two phase conductors.
  • sqrt(3) is the balanced three-phase voltage ratio.
  • The result is a nominal planning value, not a field measurement.

Assumptions

  • The calculation assumes a balanced three-phase system.
  • Line-line voltage equals line-neutral voltage multiplied by sqrt(3).
  • Line-neutral voltage equals line-line voltage divided by sqrt(3).
  • Utility service, transformer taps, measured voltage, and equipment nameplates can differ from nominal values.

Examples

347 V lighting system. A 347 V line-neutral system converts to about 601 V line-line, commonly treated as a 600 V class system.

600 V service. A 600 V line-line system converts to about 346.4 V line-neutral for balanced three-phase planning.