Abstract

DC and small-signal circuit models of the PWM buck-boost converter for the continuous conduction mode (CCM) are derived. The models take into account parasitic components, such as the equivalent series resistance (ESR) of the filter capacitor, the ESR of the inductor, the transistor on-resistance, and the diode forward resistance and offset voltage. The component values and the parasitics were measured for a prototype converter. The dc voltage transfer function and the efficiency of the converter are derived from the dc model. Small-signal open-loop transfer functions are derived from the small-signal model. The derivation of the transfer function for an integral-lead controller with the loading effect of the voltage divider network in the feedback loop is given. Small-signal closed-loop transfer functions are derived. Bode plots are given for various transfer functions of the converter.

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