Unified model of voltage/current mode control to predict saddle-node bifurcation

TL;DR

This paper introduces a unified model for voltage and current mode control to accurately predict saddle-node bifurcations, providing exact boundary conditions and multiple analytical approaches for design and analysis.

Contribution

A comprehensive unified model that combines VMC and CMC for saddle-node bifurcation prediction, with derived exact boundary conditions and versatile analytical methods.

Findings

Derived exact SNB boundary conditions

Unified model applicable to VMC and CMC

Multiple analytical approaches validated

Abstract

A unified model of voltage mode control (VMC) and current mode control (CMC) is proposed to predict the saddle-node bifurcation (SNB). Exact SNB boundary conditions are derived, and can be further simplified in various forms for design purpose. Many approaches, including steady-state, sampled-data, average, harmonic balance, and loop gain analyses are applied to predict SNB. Each approach has its own merits and complement the other approaches.