Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters
Systems and Control
2015-03-20 v1 Dynamical Systems
Chaotic Dynamics
Abstract
A general and exact critical condition of saddle-node bifurcation is derived in closed form for the buck converter. The critical condition is helpful for the converter designers to predict or prevent some jump instabilities or coexistence of multiple solutions associated with the saddle-node bifurcation. Some previously known critical conditions become special cases in this generalized framework. Given an arbitrary control scheme, a systematic procedure is proposed to derive the critical condition for that control scheme.
Keywords
Cite
@article{arxiv.1204.3989,
title = {Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters},
author = {Chung-Chieh Fang},
journal= {arXiv preprint arXiv:1204.3989},
year = {2015}
}
Comments
Submitted to IEEE Transactions on Automatic Control on Jan. 9, 2012. Seven of my arXiv manuscripts have a common reviewer