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Application of Filippov method for the analysis of subharmonic instability in dc–dc converters
Author(s) -
Giaouris Damian,
Maity Somnath,
Banerjee Soumitro,
Pickert Volker,
Zahawi Bashar
Publication year - 2009
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.505
Subject(s) - control theory (sociology) , converters , eigenvalues and eigenvectors , subharmonic , instability , mathematics , voltage , computer science , engineering , physics , mechanics , control (management) , nonlinear system , quantum mechanics , artificial intelligence , electrical engineering
We propose a method of estimating the fast‐scale stability margin of dc–dc converters based on Filippov's theory—originally developed for mechanical systems with impacts and stick‐slip motion. In this method one calculates the state transition matrix over a complete clock cycle, and the eigenvalues of this matrix indicate the stability margin. Important components of this matrix are the state transition matrices across the switching events, called saltation matrices. We applied this method to estimate the stability margins of a few commonly used converter and control schemes. Finally, we show that the form of the saltation matrix suggests new control strategies to increase the stability margin, which we experimentally demonstrate using a voltage‐mode‐controlled buck converter. Copyright © 2008 John Wiley & Sons, Ltd.