Voltage unbalance formulas
Measurement formula chart for average voltage, maximum deviation and percent voltage unbalance.
Voltage-unbalance measurements from one record set
Use these row summaries to read the calculation relationship before checking the value table.
Measurement mode
Record whether V1, V2 and V3 are comparable line-to-line or phase-to-neutral values.
mode = line-to-line or phase-to-neutralAverage voltage
Find the mean of the three comparable voltages.
Vavg = (V1 + V2 + V3) / 3Deviation
Find each voltage deviation from the average.
Vdev = abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg)Maximum deviation
Identify the largest difference.
VdevMax = max(abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg))Percent unbalance
Display the unbalance percentage.
Unbalance% = VdevMax / Vavg x 100
- Average-deviation voltage-unbalance arithmetic.
- Show voltage-unbalance measurement formulas without interpreting a site power-quality issue by itself.
- Power-quality measurement context, National Electricity Rules context and project requirements govern interpretation.
- Record V1, V2 and V3 as one same-time measurement set, including line-to-line or phase-to-neutral basis, instrument and time window; National Electricity Rules context may matter.
Average-deviation rows for voltage-unbalance records
Show voltage-unbalance measurement formulas without interpreting a site power-quality issue by itself.
| Relationship | Formula | Use | Boundary |
|---|---|---|---|
| Measurement mode | mode = line-to-line or phase-to-neutral | Record whether V1, V2 and V3 are comparable line-to-line or phase-to-neutral values. | Measurements need instrument, load state and time window context. |
| Average voltage | Vavg = (V1 + V2 + V3) / 3 | Find the mean of the three comparable voltages. | Use one same-time instrument measurement set for review. |
| Deviation | Vdev = abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg) | Find each voltage deviation from the average. | Use the same measurement mode source for V1, V2 and V3. |
| Maximum deviation | VdevMax = max(abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg)) | Identify the largest difference. | Does not diagnose project cause by itself. |
| Percent unbalance | Unbalance% = VdevMax / Vavg x 100 | Display the unbalance percentage. | Threshold source and optional margin must be entered or governed separately. |
- This chart explains the measurement arithmetic.
- The calculator owns entered threshold comparison.
Formula variables
Use these symbols and units when reading the chart rows.
| Variable | Meaning | Unit | Use |
|---|---|---|---|
| V1 | First measured line-to-line or phase-to-neutral voltage. | V | |
| V2 | Second measured line-to-line or phase-to-neutral voltage. | V | |
| V3 | Third measured line-to-line or phase-to-neutral voltage. | V | |
| mode | Measurement mode. | Record line-to-line or phase-to-neutral consistently. | |
| Vavg | Average voltage for the same measurement set. | V | |
| Vdev | Maximum deviation from average. | V | |
| VdevMax | Largest deviation in the measured voltage set. | V | |
| threshold | Entered review threshold. | % | Record whether the threshold came from equipment, DNSP, project or standards context. |
| time window | Measurement time context. | Keep the load state and instrument record with the result. |
Worked relationship example
This example shows how one set of entered values reads through the relationship.
Three-voltage unbalance reading
Three comparable voltages from one measurement set are reviewed with the average-deviation formula.
- V1
- 404 V
- V2
- 397 V
- V3
- 401 V
- Measurement mode
- line-to-linesame instrument time window
- Average the setVavg = (404 + 397 + 401) / 3 = 400.7 V.
- Find maximum deviationThe largest deviation from average is about 3.7 V.
- Calculate percentUnbalance% = 3.7 / 400.7 x 100 = 0.9%.
The value needs the measurement mode, load state, instrument record and threshold source beside it.
Use this as a measurement review record, not a site diagnosis or universal pass/fail threshold.
- V1, V2 and V3 are comparable line-to-line values from the same time window.
- Threshold source is recorded separately.
Where the voltage-unbalance chart belongs
Use the chart to understand the formula basis; calculators handle project-specific inputs, warnings and results.
| Item | Value |
|---|---|
| Purpose | Show voltage-unbalance measurement formulas without interpreting a site power-quality issue by itself. |
| How to use the source | Average-deviation voltage-unbalance arithmetic. |
| Standards and project context | Power-quality measurement context, National Electricity Rules context and project requirements govern interpretation. |
| Where judgement is still needed | Use this chart to understand the relationship behind a calculation; do not treat it as a substitute for entered project values. |
| Before relying on it | Confirm current standards, local authority requirements, DNSP conditions, project documents and manufacturer data before relying on a decision. |
| Context | Applies to | Public boundary |
|---|---|---|
| Measurement-set context | V1, V2, V3 line-to-line or phase-to-neutral voltage records | Use comparable measurements from the same instrument, load state and time window. |
| Threshold source | Entered review threshold and optional margin | Record whether the threshold comes from equipment, DNSP, project documents, National Electricity Rules context or another source. |
| Project review boundary | Voltage unbalance formulas chart | Confirm current Australian standards, local authority requirements, DNSP conditions, project documents and manufacturer data before relying on a decision. |
Measurement basis for voltage unbalance
Check the cited calculator source, measurement mode, threshold source and Australian power-quality boundary before interpreting these unbalance formulas.
| Item | Value |
|---|---|
| Source | AUWiring voltage-unbalance calculator formula notes. |
| Source type | Measurement record with standards context |
| Derivation basis | Derived from AUWiring calculator logic and user-entered measured voltages. |
| Last checked | 2026-07-13 |
| Review interval | Annual or when power-quality calculator formulas or measurement wording changes. |
| Review trigger | Formula change, measurement-record change, DNSP context change or project feedback. |
| Version used | R38-2026-07-13 |
| Australian application | Australia; instrument setup, DNSP, equipment and project requirements govern formal interpretation. |
Use a calculator for project values
Use the chart to read the formula relationship, then open a calculator when you need entered project values, warnings and result context.