Closed-Form Critical Conditions of Saddle-Node Bifurcations for Buck Converters
Provides a systematic tool for power electronics engineers to design buck converters with improved stability margins.
The authors derive a general closed-form critical condition for saddle-node bifurcation in buck converters, which helps predict jump instabilities and multiple solutions. The framework generalizes previously known special cases.
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.