Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters

Details Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters

2012-04-18

arxiv.org/abs/1204.3989v1

Computer Science

Systems and Control

Submitted to IEEE Transactions on Automatic Control on Jan. 9, 2012. Seven of my arXiv manuscripts have a common reviewer

Scientific paper

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.

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