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RK
Rojony Khatun
Last updated: Jun 3, 2026

Negative Sequence Voltage Calculator

Calculate negative sequence voltage from three-phase voltages using symmetrical components. Helps assess unbalance and protect rotating machines.

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Negative Sequence Voltage Calculator

Calculate negative sequence voltage from three-phase voltages using symmetrical components. Helps assess unbalance and protect rotating machines.

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motor voltage imbalance calculator

When ut come to unbalanced voltages, three-phase voltages cause negative sequence voltage. The measured value is obtained in symmetrical components and, in negative sequence, the unbalance component V 2 measures the unbalance. A large negative sequence factor (NSF%) may have a devastating effect on motors, leading to the overheating of such motors and lowered efficiency.

Formula & Table Summary:

  • Negative Sequence: V₂ = (Va + a²Vb + aVc)/3
  • Positive Sequence: V₁ = (Va + aVb + a²Vc)/3
  • NSF% = |V₂| / |V₁| × 100
  • Limit: NSF < 2–3% (per NEMA MG1)
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electrical fault negative sequence

The negative-sequence-use the three phase voltages to calculate the negative sequence voltage (V 2 ) via symmetrical component theory. Very large negative sequence voltages Reflect imbalance in the system and potentially destroy the motor and generators. The Negative Sequence Voltage Calculator calculates the negative sequence component of a three-phase system based on the symmetrical component theory. An example is that voltage unbalance, resulting in the presence of negative-sequence voltages, acts against the rotating field in machines, resulting in overheating, pulsations in the machine torque, and a shortened motor life.

unbalanced three-phase voltage tool

Va (V) Vb (V) Vc (V) V₁ (Pos Seq) V₂ (Neg Seq) NSF (%)
230 230 230 230∠0° 0 0.0
230 225 235 230∠-1° 2.5∠-120° 1.1
230 210 240 227∠-2° 6.8∠60° 3.0
230 200 245 225∠-3° 12.2∠90° 5.4
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Frequently Asked Questions - Negative Sequence Voltage Calculator:

It is the component of unbalanced three-phase voltage that rotates opposite to the positive sequence.
Using symmetrical components: V2 = 1/3 (Va + a²Vb + aVc), with a = e^(j120°).
NSF (%) = |V2| / |V1| × 100, showing the ratio of negative to positive sequence voltage.
Unbalanced supply voltages, unequal loads, or system faults.
It induces reverse magnetic fields, causing overheating and torque pulsations.
Usually below 2–3% for motors, per NEMA MG1 standards.
Yes, even a 2–3% voltage unbalance can cut motor life by 30–50%.
Yes, negative sequence relays protect generators and motors from unbalance damage.
Measure three-phase voltages with a power quality analyzer, then compute sequence components.
Yes, if banks are unevenly distributed across phases, they can increase voltage unbalance.
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