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sci.nyquist-gain-margin Calculator
Calculates gain margin (GM) and phase margin (PM) from an open-loop Bode or Nyquist plot for feedback control stability assessment. GM > 6 dB and PM > 30° are typical design criteria — PM < 30° produces oscillatory transient response; GM < 3 dB risks instability with small parameter variation.
Inputs
Open Loop Gain Db
Reference formula or conversion factor shown for context.
Phase At Gain Crossover Deg
Reference formula or conversion factor shown for context.
Crossover Freq Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Results
gain margin GM (dB)
The improvement or increase over the baseline.
phase margin PM (degrees)
The magnitude or severity on the applicable scale.
stability assessment
Measure of how robust the system, structure, or process is to perturbations. Low stability means small changes can cause large deviations.
gain crossover freq
The improvement or increase over the baseline.
GM = -|G(jω_pc)|dB
Reference formula or conversion factor shown for context.
recommended minimums
The smallest value in the dataset or feasible range.