Voltage unbalance formulas

Measurement formula chart for average voltage, maximum deviation and percent voltage unbalance.

  • Type: Measurement chart
  • Scope: Australia
  • Reviewed: 2026-07-13
  • Sensitivity: Low

Voltage-unbalance measurements from one record set

Use these row summaries to read the calculation relationship before checking the value table.

  1. 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-neutral
    Input basis
    Comparable V1, V2 and V3 measurements from one instrument time window.
    Output unit
    measurement basis
    Use when
    Use when V1, V2 and V3 are comparable measurements from the same mode and time window.
    Boundary
    Measurements need instrument, load state and time window context.
    Not for
    Site diagnosis, pass/fail threshold claim or equipment suitability decision.
  2. Average voltage

    Find the mean of the three comparable voltages.

    Vavg = (V1 + V2 + V3) / 3
    Input basis
    Comparable V1, V2 and V3 measurements from one instrument time window.
    Output unit
    V
    Use when
    Use when V1, V2 and V3 are comparable measurements from the same mode and time window.
    Boundary
    Use one same-time instrument measurement set for review.
    Not for
    Site diagnosis, pass/fail threshold claim or equipment suitability decision.
  3. Deviation

    Find each voltage deviation from the average.

    Vdev = abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg)
    Input basis
    Comparable V1, V2 and V3 measurements from one instrument time window.
    Output unit
    V
    Use when
    Use when V1, V2 and V3 are comparable measurements from the same mode and time window.
    Boundary
    Use the same measurement mode source for V1, V2 and V3.
    Not for
    Site diagnosis, pass/fail threshold claim or equipment suitability decision.
  4. Maximum deviation

    Identify the largest difference.

    VdevMax = max(abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg))
    Input basis
    Comparable V1, V2 and V3 measurements from one instrument time window.
    Output unit
    V
    Use when
    Use when V1, V2 and V3 are comparable measurements from the same mode and time window.
    Boundary
    Does not diagnose project cause by itself.
    Not for
    Site diagnosis, pass/fail threshold claim or equipment suitability decision.
  5. Percent unbalance

    Display the unbalance percentage.

    Unbalance% = VdevMax / Vavg x 100
    Input basis
    Comparable V1, V2 and V3 measurements from one instrument time window.
    Output unit
    %
    Use when
    Use when V1, V2 and V3 are comparable measurements from the same mode and time window.
    Boundary
    Threshold source and optional margin must be entered or governed separately.
    Not for
    Site diagnosis, pass/fail threshold claim or equipment suitability decision.
  • 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.

Voltage unbalance formulas
RelationshipFormulaUseBoundary
Measurement modemode = line-to-line or phase-to-neutralRecord 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 voltageVavg = (V1 + V2 + V3) / 3Find the mean of the three comparable voltages.Use one same-time instrument measurement set for review.
DeviationVdev = 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 deviationVdevMax = max(abs(V1 - Vavg), abs(V2 - Vavg), abs(V3 - Vavg))Identify the largest difference.Does not diagnose project cause by itself.
Percent unbalanceUnbalance% = VdevMax / Vavg x 100Display 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.

Formula variables
VariableMeaningUnitUse
V1First measured line-to-line or phase-to-neutral voltage.V
V2Second measured line-to-line or phase-to-neutral voltage.V
V3Third measured line-to-line or phase-to-neutral voltage.V
modeMeasurement mode.Record line-to-line or phase-to-neutral consistently.
VavgAverage voltage for the same measurement set.V
VdevMaximum deviation from average.V
VdevMaxLargest deviation in the measured voltage set.V
thresholdEntered review threshold.%Record whether the threshold came from equipment, DNSP, project or standards context.
time windowMeasurement 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
  1. Average the setVavg = (404 + 397 + 401) / 3 = 400.7 V.
  2. Find maximum deviationThe largest deviation from average is about 3.7 V.
  3. Calculate percentUnbalance% = 3.7 / 400.7 x 100 = 0.9%.
Voltage-unbalance estimateabout 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.

Limits of formula-only measurement review
ItemValue
PurposeShow voltage-unbalance measurement formulas without interpreting a site power-quality issue by itself.
How to use the sourceAverage-deviation voltage-unbalance arithmetic.
Standards and project contextPower-quality measurement context, National Electricity Rules context and project requirements govern interpretation.
Where judgement is still neededUse this chart to understand the relationship behind a calculation; do not treat it as a substitute for entered project values.
Before relying on itConfirm current standards, local authority requirements, DNSP conditions, project documents and manufacturer data before relying on a decision.
Voltage unbalance formulas standards and project context
ContextApplies toPublic boundary
Measurement-set contextV1, V2, V3 line-to-line or phase-to-neutral voltage recordsUse comparable measurements from the same instrument, load state and time window.
Threshold sourceEntered review threshold and optional marginRecord whether the threshold comes from equipment, DNSP, project documents, National Electricity Rules context or another source.
Project review boundaryVoltage unbalance formulas chartConfirm 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.

Voltage unbalance formulas source basis
ItemValue
SourceAUWiring voltage-unbalance calculator formula notes.
Source typeMeasurement record with standards context
Derivation basisDerived from AUWiring calculator logic and user-entered measured voltages.
Last checked2026-07-13
Review intervalAnnual or when power-quality calculator formulas or measurement wording changes.
Review triggerFormula change, measurement-record change, DNSP context change or project feedback.
Version usedR38-2026-07-13
Australian applicationAustralia; 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.

Voltage unbalance

Calculate unbalance from entered voltage measurements.

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