Explain the difference between line-to-line and line-to-neutral (phase) voltage in a balanced three-phase system. If a system is rated 480 V, what does that number refer to and what is the phase voltage?
FoundationalHow to answer
What they’re really asking
They want to confirm you have the absolute fundamentals of three-phase relationships and know that nameplate voltage is line-to-line by convention.
Strong answer structure
State that nameplate/rated voltage is line-to-line (V_LL) by convention. In a balanced wye system V_LL = sqrt(3) * V_LN, so for 480 V the phase (line-to-neutral) voltage is 480/sqrt(3) = 277 V. Note the 30-degree phase shift between line and phase voltages, and that in delta there is no neutral so loads see V_LL directly. Mention currents are the inverse: in delta, I_line = sqrt(3) * I_phase.
Likely follow-ups
- Why is 277 V a common lighting voltage in North American commercial buildings?
- Draw the phasor diagram showing the 30-degree shift.
- How do line and phase currents relate in a delta-connected load?