Transient and stability analysis of time-domain reactive current analyzers using averaged waveforms

A simple method of characterizing the transient response and the stability of time-domain analog reactive current analyzers is presented. The method of analysis, based on averaged waveforms, allows one to perform a linear analysis on an otherwise nonlinear system. The ability to predict the transient characteristics of these instrumentation circuits allows the instrumentation engineer to predict the settling time of the analyzer under various waveform measurement conditions and, more importantly, detect the presence of unstable equilibrium points in these nonlinear feedback circuits.