An automated small-signal frequency-domain analyzer for general periodic-operating systems as obtained via time-domain simulation

Complete and Exact Small Signal Analysis of DC-to-DC Switched Power Converters Under Various Operating Modes and Control Methods

“…This serves as adequate proof that (2.27) provides more accuracy than (7.1) since they are both derived the same way, with the exception of the approximation in [4] that perturbation sources are piecewise constant, and is therefore appropriate to use for verification. The resulting Bode plots of the transfer functions from the exact method match the simulations extremely well and are unparalleled in accuracy by other methods, including those used in simulators featuring frequency response such as SIMPLIS, keeping its accuracy even at very high switching frequencies.…”

“…Unfortunately, access to SIMPLIS is also not readily available. Instead the academic paper [4] proposing the method that SIMPLIS uses for frequency response is discussed and compared to the method used by this thesis for verification. Obtaining the frequency response through simulation requires the following steps:…”

“…Compute the magnitude and phase of the sinusoidal response of the system. The only difference between the simulation method used by this thesis and the method used by [4] which results in a change of accuracy is the small signal difference equation which is solved during step 2. By examining how the small signal difference equation used by [4] is derived, this chapter serves to show that the verification used in this thesis is both valid and an improvement on the simulation engine used by SIMPLIS.…”

“…Evaluating the right-hand side (7. 4) and dropping any terms that are not small signal (first order) terms gives the small signal difference equation used in [4]:…”

Computer-aided small-signal analysis based on impulse response of DC/DC switching power converters

“…The method described in [6] was based on a basic sampled-data model which may fail to predict observed responses in some cases. An automated small-signal frequency-domain analyzer was described in [8] based on an Manuscript received July 29, 1998; revised August 14, 2000. This work was supported by the National Science Foundation under Grant ECS-9703449.…”