Abstract
The quadratic buck converter or the BUCK converter presents a non-linear dc-dc voltage conversion ratio. The large-signal model of the quadratic buck converter would possess greater number of higher order nonlinear ac terms compared to that of the conventional buck converter. One can gain better insight by considering the linear model to understand the dynamic characteristics of these converters. This paper presents the small-signal model of the open-loop lossy quadratic buck converter operating in continuous conduction mode (CCM). The dc, averaged, and the low-frequency linear equivalent models are developed using the circuit averaging technique. The small-signal transfer functions such as: control-to-output voltage transfer function (T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</sub> ), input-to-output voltage transfer function (M <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">v</sub> ), input impedance (Z <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i</sub> ), and the output impedance (Z <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">o</sub> ) are derived. A quadratic buck converter with an input voltage of 24 V and an output voltage of 10 V at an output power of 10 W is considered and its equivalent circuit is simulated. The simulation results are provided in order to validate the presented small-signal model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.