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Voltage Unbalance Calculator

Check how balanced a three phase supply is. A few percent of voltage unbalance causes much larger current unbalance and overheating in induction motors.

NEMA MG1 methodThree phaseMotor protectionPower quality
V
V
V
Above 1 %: motors should be derated and the cause investigated.
Voltage unbalance1.61 %
Average voltage414.7 V
Maximum deviation6.67 V
How this result was calculated
  1. Average = (415 + 408 + 421) ÷ 3 = 414.67 V
  2. Unbalance = max deviation ÷ average × 100 = 1.61 %
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NEMA Voltage Unbalance Formula

% Unbalance = 100 × (maximum deviation from average) ÷ average voltage

Worked example

Line voltages 415, 408 and 421 V average 414.7 V. The largest deviation is 6.7 V, so the unbalance is 1.6 %.

Key insight: current unbalance in a motor is typically 6 to 10 times the voltage unbalance, and winding temperature rise grows roughly with twice the square of it.
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Frequently Asked Questions

What is acceptable voltage unbalance?

Below 1 % is good practice for motors. Above 1 % they should be derated, and NEMA MG1 advises not to run them above 5 %.

What causes voltage unbalance?

Unevenly distributed single phase loads, a blown capacitor fuse, a faulty tap changer or a high resistance joint on one phase.

Is this the same as the IEC definition?

IEC uses the ratio of negative to positive sequence voltage. The NEMA method here gives a very close result for small unbalances and needs only three meter readings.

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