Title :
Limit cycles in a digitally controlled buck converter
Author :
Bradley, Mark ; Feely, Orla ; Teplinsky, Alexey
Author_Institution :
Sch. of Electr., Electron. & Mech. Eng., Univ. Coll. Dublin, Dublin, Ireland
Abstract :
We describe the mathematical model of a digitally controlled buck converter. This model is an autonomous discrete-time discontinuous piecewise-linear dynamical system in three dimensions. Investigating this system, we find its equilibrium points, describe the shape and size of possible limit cycles (i.e. stable periodic motions), and derive conditions for their existence and non-existence.
Keywords :
mathematical analysis; power convertors; autonomous discrete-time discontinuous piecewise-linear dynamical system; digitally controlled buck converter; equilibrium points; mathematical model; Limit-cycles; Mathematical model; Quantization; Spirals; Switches; Trajectory; Windings;
Conference_Titel :
Circuit Theory and Design (ECCTD), 2011 20th European Conference on
Conference_Location :
Linkoping
Print_ISBN :
978-1-4577-0617-2
Electronic_ISBN :
978-1-4577-0616-5
DOI :
10.1109/ECCTD.2011.6043328
