Abstract
This paper shows DC and small-signal circuit models for the PWM DC to DC buck, boost and back/ boost converters with the equivalent series resistance of the inductor. The DC voltage transfer function and the efficiency of the converter are derived from the DC model. Small-signal open-loop characteristics are derived from the small-signal model based on a state variable model. A design example proves the performance of the circuit and verification of the model.
Highlights
Many papers about small signal analysis of a DC to DC buck-boost converter can be found in literature that include parasitic resistances in inductor and capacitors and voltage drop in power switch and diode [1]-[5]
Any model can be calculated based on the continuous conduction mode or a non-continuous conduction mode but have different results because the former has control over the duty cycle and the latter has control over the frequency
This analysis has concentrated on finding the ac model of DC to DC buck, boost and buck-boost converters, only taking into account the parasitic resistance of the inductor
Summary
Many papers about small signal analysis of a DC to DC buck-boost converter can be found in literature that include parasitic resistances in inductor and capacitors and voltage drop in power switch and diode [1]-[5]. The signal model representation is obtained from an equivalent circuit [4], or in other cases, using a state variable model [3]. The objectives of this paper are: to obtain a DC and small-signal linear circuit models of PWM buck, boost and buck/boost DC-DC converter, taking into account parasitic resistance of the inductor; to derive the DC voltage transfer function and efficiency; to derive small-signal open-loop input-to-output transfer function using a state variable model; and to demonstrate, by a design consideration, the performance of a real circuit
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