Stability Analysis of an Adaptive Notch Filter for RF Noise Suppression Trevor Vannoy APS Accelerator Systems Division Mentor: Tim Berenc
Background 360 Hz 120 Hz 60 Hz 2 Reduced by ~ 30 dB Advanced Photon Source, Argonne National Laboratory
Stability Analysis Nyquist stability criterion • More powerful than Bode methods • handles systems with time delays and high order • Derived from complex analysis techniques • # of times a mapped contour encircles of -1 determines stability Γ w Γ 𝑥 = 𝑔(𝑨) 𝛿 𝑨 ϒ z Advanced Photon Source, Argonne National Laboratory 3
Goals Develop an accurate model of the system Actual system consists of 400 th order bandpass filters, external components, etc • • Characterize dynamics and gains of all elements • Validate model through measurements • Want users to have knob values that correspond to actual parameters • Allows users to understand how far they are pushing the system • e.g., gain and phase margins Advanced Photon Source, Argonne National Laboratory 4
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