Abstract
This paper develops a method to establish a small-signal transfer function for hysteretic buck DC-DC converters in continuous conduction mode (CCM). A hysteresis comparator is modeled such that it has a certain gain calculated to be the ratio between the output voltage change and the voltage difference of both input terminals in transition. Since the signal input to the comparator becomes non-linear, the slope of the signal at the boundaries of a hysteresis window uses a quasi-linear approximation to calculate the required voltage difference at inputs. The overall comparator's gain is obtained by averaging gains at each charging and discharging phases of the inductor using the duty factor D. An actual circuit is designed, and its frequency characteristics are simulated by SPICE. Simulation results are compared with those of the calculated transfer function. They are found to be in good agreement.
Published Version
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