Description
Sum each component and return residualReal, residualImaginary and their hypotenuse magnitude.
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.
Sum each component and return residualReal, residualImaginary and their hypotenuse magnitude.
When to use this tool
Use Residual Current Three Conductor Vector Term when checking a stated phasor, power or RMS convention.
How to use the tool and how it works
- Enter real, imaginary. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read residualReal, residualImaginary, magnitude. Use the output convention below.
Require exactly three real and three imaginary current components. Sum each component and return residualReal, residualImaginary and their hypotenuse magnitude.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| real | Real | Required. Array of finite number; maximum items 256. |
| imaginary | Imaginary | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| residualReal | Residual Real | Required. Finite number. |
| residualImaginary | Residual Imaginary | Required. Finite number. |
| magnitude | Magnitude | Required. Finite number. |
{
"input": {
"real": [
1,
-1,
0
],
"imaginary": [
0,
0,
0
]
},
"output": {
"residualReal": 0,
"residualImaginary": 0,
"magnitude": 0
}
}Limitations and assumptions
- All phasors must share frequency, reference phase and RMS or peak convention. This vector residual does not validate a protective device or establish safe leakage current.
- 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
Similar or alternative tools
- Balanced Star Neutral Current Residual
Sum each component, compute their hypotenuse magnitude and set balanced only when both sums equal zero exactly.
- Phasor Three Way Zero Sum Gap
Return sumReal, sumImaginary and magnitude = hypot(sumReal,sumImaginary).