Quick Answer
Calculate PLC Scan Time-Driven Control Loop Stability Margin Calculator
Calculator
Result Interpretation
PLC Scan Time-Driven Control Loop Stability Margin Calculator computes Stability Margin in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- PLC Scan Time = 0.005
- Closed-Loop Bandwidth = 5
Expected Result:
- Stability Margin = 0.92857142857143
Engineering Interpretation:
Under the given input conditions, the calculated result is: Stability Margin = 0.92857142857143 dimensionless.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
stability margin = 1.0 - (plc scan time * (2.0 * 3.14159265358979 * closed-loop bandwidth)) / (2.0 * 3.14159265358979 * 0.35)Formula family: formula_controls_plc_scan_time_driven_control_loop_stability_margin_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| scan_time | PLC Scan Time | INPUT | PLC Scan Time |
| bandwidth_hz | Closed-Loop Bandwidth | INPUT | Closed-Loop Bandwidth |
| stability_margin | Stability Margin | OUTPUT | Stability Margin |
Calculation Steps
- Enter the plc scan time in s.
- Enter the closed-loop bandwidth in Hz.
- Step 1: Compute stability margin.
- Read the stability margin (dimensionless) from the results.
Engineering Summary
Calculate PLC Scan Time-Driven Control Loop Stability Margin Calculator
Frequently Asked Questions
What does this calculator calculate?
The PLC Scan Time-Driven Control Loop Stability Margin Calculator estimates Stability Margin based on the input parameters you provide
Why is plc scan time important in this calculation?
plc scan time is directly proportional to stability margin. When you enter plc scan time in s, the calculator uses it in the engineering formula to compute the output
How should I interpret the result stability margin?
The calculator outputs stability margin in dimensionless. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: PLC Scan Time (s), Closed-Loop Bandwidth (Hz). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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