Output Ripple Analysis of Switching DC–DC Converters

Higher-order averaging for DC-DC converters

“…We illustrate the results of the previous sections on the ideal boost converter of section II-B, with values R = 3 Ω, L = 250 µH, C = 200 µF, d = 0.7, and v in = 24 V. The system was first normalized as explained in section II-B, then the second-and third-order averaging procedures were applied; finally the resulting equations were expressed back into the original variables, and simulated with Matlab-Simulink. The averaged system for second-order averaging is given by (6) and the ripple by (7); the averaged system for third-order averaging is given by (12) and the ripple by (13). The periodic functions appearing in these expressions are computed in section II-C.…”

A Reachability-Based Method for Large-Signal Behavior Verification of DC-DC Converters

“…Other methods for quantifying large-signal behavior of power electronics do not rely on time-domain simulations [7], [14], [15]. For example, the work in [7] develops analytical models to bound the envelope of trajectories around an average converter trajectory.…”

“…For example, the work in [7] develops analytical models to bound the envelope of trajectories around an average converter trajectory. The motivation behind our work is similar, but their approach, which relies on the Krylov-Bogoliubov-Mitropolsky averaging method, is quite different from ours.…”

Dynamic Modeling and Analysis of Single-Stage Boost Inverters under Normal and Abnormal Conditions

“…A broad application of the state-space averaging technique, and its derivatives, for dynamic modeling and analysis of dc-dc converters, has been reported in literature [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. Nevertheless, it is worth mentioning that state-space averaging is not the only available tool in dealing with these type of problems, for instance [37] has proposed a Lagrangian approach for average modeling of PWM controlled dc-dc converters.…”

“…However, it should be noted that adding each frequency component to the generalized state-space model, doubles the order of the model, which means that the refinement is achieved at the expense of complexity [42]. In another attempt to analyze dc-dc converters with a high ripple content (besides the generalized state-space averaging), new models have been derived in [43] to model the maximum and minimum envelopes (upper and lower bounds) of the output waveforms for dc-dc switching converters.…”