M.A. Shamsi-Nejad - INPL – GREEN CNRS UMR ۷۰۳۷ ۲, Av. de la Forêt de Haye - ۵۴۵۱۶ Vandoeuvre lès Nancy Cedex – France
S. Pierfederici
J. P. Martin
F. Meibody-Tabar

The performances of AC current supplies depend on the characteristics of its current controller [1]. In this paper, we study a large bandwidth ACcurrent controller combining the robustness properties of a hysteresis controller with constant switching frequency of PWM technique. A high frequency average model is proposed for this modulated hysteresis regulator to study its dynamic properties. A second approach of modelling, based on the construction of a 3-dimensional bifurcation diagram allows studying the nature of the cycle described by the state trajectory and proving that the system operates with a fixed switching frequency. Design rules of control parameters of this controller (for AC and DC applications) are explained and its robustness properties are tested by numerical simulations.

Hysteresis controller, robustness, modelling, bifurcation diagram, form function