Stability Phenomenon
Feedback systems experience a reduction in the difference between the loop phase and the point of instability as frequency increases. Phase margin erosion occurs when parasitic capacitance or propagation delays shift the phase shift closer to one hundred and eighty degrees. If the margin falls to zero, the circuit enters a state of sustained oscillation.
Capacitive Loading
Connection to a capacitive load adds a second pole to the transfer function of an operational amplifier. This pole causes phase margin erosion by introducing a phase lag that was not present in the unloaded state. High speed amplifiers are more susceptible to this effect because their unity gain crossover occurs at a higher frequency.
Measuring the overshoot in the step response provides a quick way to estimate the remaining margin.
Network Delay
Large physical distances between the sensor and the amplifier introduce time delays that appear as phase shifts. In high frequency systems, even a few nanoseconds of delay contribute heavily to phase margin erosion. This effect is cumulative with the phase shifts caused by the amplifier stages and the feedback network.
Compensation circuits must account for these delays to prevent the system from becoming unstable at the limits of its bandwidth. Long signal paths act as transmission lines that introduce reflections and additional lag if not properly terminated. Such delays shift the unity gain crossover frequency and reduce the available margin for error.
Verification Metric
Performance testing involves the use of a gain-phase analyzer to plot the loop response. A system with less than thirty degrees of margin is considered unstable for most precision applications. Calibration of the feedback loop identifies the drift in component values that could lead to phase margin erosion over time.
Maintenance schedules often include a check of the pulse response to ensure the stability of the system has not degraded.