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Electricity: Ac Power Leading Lagging Quadrant Tool

Label an explicit P/Q operating point under positive-load power convention, refusing a load leading/lagging label for nonpositive real power; no grid-stability judgment.

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Description

Return quadrant 1-4 from realPower/reactivePower signs, or zero on either axis.

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 quadrant 1-4 from realPower/reactivePower signs, or zero on either axis.

When to use this tool

Use Electricity: Ac Power Leading Lagging Quadrant when checking a stated phasor, power or RMS convention.

How to use the tool and how it works

  1. Enter realPower, reactivePower. 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 quadrant 1-4 from realPower/reactivePower signs, or zero on either axis. reactiveSign labels negative, zero or positive. loadConventionLabel is not-positive-load when realPower <= 0, otherwise unity for zero reactive power, lagging for positive and leading for negative.1

Input fieldMeaning and unitsAccepted input
realPowerReal PowerRequired. Finite number.
reactivePowerReactive PowerRequired. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the named calculated members below.Required. Object.
result.quadrantQuadrantCalculated result member: number.
result.reactiveSignReactive SignCalculated result member: string.
result.loadConventionLabelLoad Convention LabelCalculated result member: string.
json
{
  "input": {
    "realPower": 3,
    "reactivePower": -2
  },
  "output": {
    "result": {
      "quadrant": 4,
      "reactiveSign": "negative",
      "loadConventionLabel": "leading"
    }
  }
}

Limitations and assumptions

  • Labels assume the positive-load reactive convention and exact zero comparisons. They do not infer waveform phase, power factor magnitude or actual power-flow references.
  • 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/ac-power-leading-lagging-quadrant — tool.io

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