Pll Damping Ratio Calculator
Declared second order type II closed-loop ζ=τzeroωn/2, explicit transfer-function convention, not viscous mechanical c/(2√km). Actual matched units/topology and independently established parameters; not a safe device/electrical design or verified manufacturer rating.
Description
A specified second-order PLL damping convention relates loop-zero time constant to natural angular frequency.
A specified second-order PLL damping convention relates loop-zero time constant to natural angular frequency.1
This tool calculates that dimensionless relation without substituting a mechanical damping formula.
When to use Pll Damping Ratio Calculator
Use this tool to calculate that dimensionless relation without substituting a mechanical damping formula.
How to use Pll Damping Ratio Calculator and how it works
- Prepare callerLoopZeroTimeConstantSeconds, callerIndependentNaturalAngularFrequencyPerSecond, with the units, conventions and assumptions below.
- Enter the required fields and run Pll Damping Ratio Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerLoopZeroTimeConstantSeconds | Caller Loop Zero Time Constant Seconds. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| callerIndependentNaturalAngularFrequencyPerSecond | Caller Independent Natural Angular Frequency Per Second. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply positive loop-zero time constant in seconds and positive natural angular frequency in radians per second. Return their product divided by two as a dimensionless damping ratio. Ratios above one are accepted, and the tool does not derive the loop's components or topology.
dampingRatio=zeroTimeConstant*naturalAngularFrequency/2 Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Dimensionless PLL damping ratio. | number |
{
"input": {
"callerLoopZeroTimeConstantSeconds": 1,
"callerIndependentNaturalAngularFrequencyPerSecond": 2
},
"output": {
"result": {
"value": 1
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use PLL Phase Noise Calculator for a complementary operation: PLL phase noise depends on source noise spectra and the loop transfer functions.
Use Pll Natural Frequency Calculator for a complementary operation: A PLL natural-frequency relation depends on a specified second-order effective-gain convention.
References
-
Pll Damping Ratio Calculator — tool.io
Similar or alternative tools
- PLL Phase Noise Calculator
PLL phase noise depends on source noise spectra and the loop transfer functions.
- Pll Natural Frequency Calculator
A PLL natural-frequency relation depends on a specified second-order effective-gain convention.