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Electricity: Complex Power Real Imaginary Pair Tool

Compute RMS complex power V*conjugate(I) from one explicit voltage/current phasor pair under the passive load convention.

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Description

Return realPower = voltageReal*currentReal+voltageImaginary*currentImaginary and reactivePower = voltageImaginary*currentReal-voltageReal*currentImaginary.

Sinusoidal electrical calculations need a common frequency, phase reference and RMS or peak convention. Phasor sums, complex power and composite RMS describe different operations; a sign label alone does not establish a physical connection or waveform.

Return realPower = voltageReal*currentReal+voltageImaginary*currentImaginary and reactivePower = voltageImaginary*currentReal-voltageReal*currentImaginary.

When to use this tool

Use Electricity: Complex Power Real Imaginary Pair when checking a stated phasor, power or RMS convention.

How to use the tool and how it works

  1. Enter voltageReal, voltageImaginary, currentReal, currentImaginary. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Return realPower = voltageReal*currentReal+voltageImaginary*currentImaginary and reactivePower = voltageImaginary*currentReal-voltageReal*currentImaginary.1

Input fieldMeaning and unitsAccepted input
voltageRealVoltage RealRequired. Finite number.
voltageImaginaryVoltage ImaginaryRequired. Finite number.
currentRealCurrent RealRequired. Finite number.
currentImaginaryCurrent ImaginaryRequired. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the named calculated members below.Required. Object.
result.realPowerReal PowerCalculated result member: number.
result.reactivePowerReactive PowerCalculated result member: number.
json
{
  "input": {
    "voltageReal": 2,
    "voltageImaginary": 0,
    "currentReal": 3,
    "currentImaginary": -1
  },
  "output": {
    "result": {
      "realPower": 6,
      "reactivePower": 2
    }
  }
}

Limitations and assumptions

  • Use RMS phasors and a common reference for ordinary W and var results. The conjugate-current convention is explicit; peak inputs need an external one-half factor.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use compatible measured waveforms and a complete circuit or harmonic model when signals are distorted, references differ or practical limits matter.

References

  1. Calculation and input contract: electricity/complex-power-real-imaginary-pair — tool.io

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