Creators
Earth Bondhon Author
Earth Bondhon
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: November 11, 2025

Negative Sequence Voltage Calculator | Unbalance Detection Tool

🇺🇸
English
Default
🇪🇸
Español
Spanish
🇫🇷
Français
French
🇩🇪
Deutsch
German
V
Ω
A

Negative Sequence Voltage Calculator

Calculate negative sequence voltage easily using this 3-phase voltage unbalance calculator. Ideal for motor protection and system fault analysis.

Negative Sequence Voltage Calculator:

Negative sequence voltage is that part of an unbalanced three-phase system that rotates opposite to the positive sequence. The Negative Sequence Voltage Calculator is a simplified power system analysis tool that calculates this element directly based on phase voltages. It assists engineers to identify unbalanced loads, motor stress, nd fault conditions faster and more precisely.

Negative Sequence Voltage Tools formula

The Negative Sequence Voltage Calculator is used to show the negative sequence voltage of an unbalanced three-phase voltage system. Negative sequence components occur when the voltages in a 3-phase system are not equal and at different phases such that they resulting in overheating and damage in rotating machines. The calculator uses the symmetrical component method to compute the negative sequence voltage (V 2 ) of measured line or phase voltages. It applies the formula:

\[ V_{2} (\frac{1}{3})\times(Va + a^{2}Vb+aVC), \textrm{ where }a= e^{j120°} \]

Through the consideration of your three-phase voltages ( Va, Vb, and Vc ), the calculator provides the negative sequence voltage percentage and magnitude in an instant. The tool is needed to examine the imbalance of the system and diagnostics of motor faults and adherence to the IEEE limits of unbalance in the voltage.

Work & Installation — Input to Output Summary

To use the Negative Sequence Voltage Calculator, input the three measured phase voltages (Va, Vb, Vc) in volts. The tool applies the symmetrical component.

It calculates the magnitude of the negative sequence voltage and displays it in volts (V) and as a percentage of the positive sequence voltage. No installation is required — just open the web-based calculator, enter the voltage values, and click “Calculate.” The output includes V₂ and the unbalance percentage for accurate motor and power system evaluation.

Testing and Final Adjustments

Once the calculation has been done, compare the solution to the test data of a 3-phase system or modeling programs such as MATLAB or ETAP. Check proper arithmetic in calculating the 120-degree phase shift (complex arithmetic is needed) and verify the tool function with both line and phase voltages. And add confirmation of balanced input values (V2 should be almost zero). Add optional output graphs of sequence voltages to make this easier to visualize. Test the performance of various browsers and various screens to provide uniform usability. After validation, the calculator can be depended upon as a diagnostic tool of the electrical engineer carrying out unbalance, protection, and fault analysis.

Frequently Asked Questions - Negative Sequence Voltage Calculator:

What is negative sequence voltage?

It is the component of unbalanced three-phase voltage that rotates opposite to the normal phase rotation.

How do you calculate negative sequence voltage?

Use V₂ = (1/3) × (Va + a²Vb + aVc), where a = e^(j120°).

What causes negative sequence voltage?

Unbalanced loads, open circuits, or phase faults cause negative sequence voltage.

What are the effects of negative sequence voltage?

It produces reverse torque and overheating in motors and generators.

What is the acceptable limit of voltage unbalance?

According to IEEE, voltage unbalance should not exceed 2%.

Can this calculator detect system faults?

Yes, it helps identify unbalanced or faulted conditions in three-phase systems.

Does negative sequence affect power quality?

Yes, it degrades power quality and reduces equipment efficiency.

Is this calculator suitable for motor protection?

Yes, it’s useful for monitoring and preventing motor overheating from unbalance.

What is the positive sequence voltage?

It’s the normal balanced voltage component rotating in the forward direction.

What is the zero sequence voltage?

It’s the voltage component common to all three phases, usually present in grounded systems.

Comments

Please login to comment.

Earth Bondhon

Earth Bondhon

Calculator Tools Project

Md. Jony Islam is a highly skilled professional with expertise in electronics, electrical, mechanical, and civil engineering, as well as finance. Specializing intransformer service and maintenance for 33/11kV substations, he ensures reliable and efficient electrical systems. His mechanical engineering skills drive innovative designs, while his financial acumen supports effective project budgeting. With a strong foundation in civil engineering, he contributes to robust infrastructure development. Md. Jony Islam's multidisciplinary approach ensures efficiency, quality, and reliability across all projects.