Industrial Engineering

Industrial Control Loop Phase Margin Estimator from Step Response (Dominant Pole Approximation) calculator

Industrial Control Loop Phase Margin Estimator from Step Response (Dominant Pole Approximation) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

The industrial control loop phase margin estimator from step response (dominant pole approximation) calculator computes phase margin from the input values you provide.

Calculator

Phase Margin (degree)
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Result Interpretation

Industrial Control Loop Phase Margin Estimator from Step Response (Dominant Pole Approximation) calculator computes Phase Margin in degree using the defined engineering formula and the input values provided. Phase Margin is expressed in degree. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Step Response Percent Overshoot = 5
  • 2% Settling Time = 180

Expected Result:

  • Phase Margin = 60.921177146633

Engineering Interpretation:

Under the given input conditions, the calculated result is: Phase Margin = 60.921177146633 degree.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

phase margin = 100.0 - 72.0 * exp(-0.125 * step response percent overshoot) - 0.003 * 2% settling time

Phase Margin.

Variables

SymbolLabelRoleDescription
overshoot_percent Step Response Percent Overshoot INPUT Step Response Percent Overshoot
settling_time_ms 2% Settling Time INPUT 2% Settling Time
phase_margin Phase Margin OUTPUT Phase Margin

Calculation Steps

  1. Enter the step response percent overshoot in percent.
  2. Enter the 2% settling time in millisecond.
  3. Step 1: Compute phase margin.
  4. Read the phase margin (degree) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Industrial Control Loop Phase Margin Estimator from Step Response (Dominant Pole Approximation) calculator estimates Phase Margin based on the input parameters you provide

Why is step response percent overshoot important in this calculation?

step response percent overshoot is used directly in the calculation of phase margin. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter step response percent overshoot in percent, the calculator uses it in the engineering formula to compute the output

How should I interpret the result phase margin?

The calculator outputs phase margin in degree. 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: Step Response Percent Overshoot (percent), 2% Settling Time (millisecond). 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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