Estimation of the bifurcation point of a modulated‐hysteresis current‐controlled DC–DC boost converter: stability analysis and experimental verification

It is known that power electronic circuits such as DC–DC converters are rich in non‐linear phenomena. It is often necessary to determine when the system becomes unstable. The authors investigate a continuous‐time averaging model for a modulated‐hysteresis current controller. This model is applied to a boost converter working in continuous conduction mode to estimate the bifurcation point and to study the stability of the controlled system. This controller ensures a fixed‐switching frequency, a zero static error and high robustness properties of the system parameter variations. Simulation and experimental results are presented to validate the proposed approach.