Description
Return phaseRadians as phaseRadians+angularFrequency*originShift wrapped modulo 2*pi into [0,2*pi).
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 phaseRadians as phaseRadians+angularFrequency*originShift wrapped modulo 2*pi into [0,2*pi).
When to use this tool
Use Phasor Single Frequency Time Origin when checking a stated phasor, power or RMS convention.
How to use the tool and how it works
- Enter phaseRadians, angularFrequency, originShift. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseRadians. Use the output convention below.
Return phaseRadians as phaseRadians+angularFrequency*originShift wrapped modulo 2*pi into [0,2*pi).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| phaseRadians | Wrapped phase angle in radians under the stated origin or component convention. | Required. Finite number. |
| angularFrequency | Angular frequency in rad/s when using SI electrical component values, not Hz. | Required. Finite number. |
| originShift | Time shift under t = tPrime+originShift, so phase increases by omega*shift. | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseRadians | Wrapped phase angle in radians under the stated origin or component convention. | Required. Finite number. |
{
"input": {
"phaseRadians": 0,
"angularFrequency": 3.141592653589793,
"originShift": 0.5
},
"output": {
"phaseRadians": 1.5707963267948966
}
}Limitations and assumptions
- The origin convention is t = tPrime+originShift, producing an added phase. Use rad/s and seconds; this is one-frequency relabeling, not delay estimation or signal resampling.
- 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
- Phasor Three Way Zero Sum Gap
Return sumReal, sumImaginary and magnitude = hypot(sumReal,sumImaginary).
- Phasor Phase Sign Reference Inversion
Preserve magnitude and return phaseDegrees+180 wrapped modulo 360.