Three-Phase Cable Voltage Drop Calculator

Balanced three-phase resistive AND signed reactive approximate drop, one-way length, lag/lead explicit; not resistive two-wire or conductor sizing. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A three-phase voltage-drop approximation combines resistive and reactive contributions.

A three-phase voltage-drop approximation combines resistive and reactive contributions.1

A declared leading or lagging load determines the sign of the reactive term. Use Three-Phase Cable Voltage Drop Calculator to evaluate the supplied inputs under the specific model below.

When to use Three-Phase Cable Voltage Drop Calculator

Use Three-Phase Cable Voltage Drop Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Three-Phase Cable Voltage Drop Calculator and understand its results

  1. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
  2. Enter Line current a, One way length m, Resistance ohm per m, Reactance ohm per m, Power factor, Caller lagging load using the field table and validation rules below, then run the tool.
  3. Read Approx balanced three phase drop v and interpret units, signs, ordering and placeholders as explained below.
  4. If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.
Input fieldMeaningValue typeRequirement
lineCurrentALine current anumberRequired; constraints below
oneWayLengthMOne way length mnumberRequired; constraints below
resistanceOhmPerMResistance ohm per mnumberRequired; constraints below
reactanceOhmPerMReactance ohm per mnumberRequired; constraints below
powerFactorPower factornumberRequired; constraints below
callerLaggingLoadCaller lagging loadbooleanRequired; constraints below

Enter nonnegative current in A, one-way cable length in m and R and X in Ω/m, with power factor from 0 to 1 and a lagging-load boolean. Use a positive reactive contribution for lagging and negative for leading. Leading inputs can produce a negative modeled drop. The tool assumes the stated balanced three-phase approximation and does not select a cable.

dropV = sqrt(3)×I×L×(R×pf ± X×sqrt(1−pf²))

Field order, units and branch conditions follow the implementation explanation above.

Output fieldMeaningValue type
approxBalancedThreePhaseDropVApprox balanced three phase drop vnumber
json
{
  "input": {
    "lineCurrentA": 10,
    "oneWayLengthM": 100,
    "resistanceOhmPerM": 0.01,
    "reactanceOhmPerM": 0.02,
    "powerFactor": 0.8,
    "callerLaggingLoad": true
  },
  "output": {
    "approxBalancedThreePhaseDropV": 34.641016151377535
  }
}

Limitations and assumptions

A declared leading or lagging load determines the sign of the reactive term. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

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References

  1. Three-Phase Cable Voltage Drop Calculator — tool.io

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