2002/01/01 by Bruno Robert, Carl Robert · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Artificial intelligence #Bifurcation #Bridge (graph theory) #Chaos control and synchronization #Chaotic #Collision #Combinatorics #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Current (fluid) #Inverter #Magnetic Bearings and Levitation Dynamics #Mathematical analysis #Mathematics #Nonlinear system #Physics #Piecewise #Piecewise linear function #Power (physics) #Power System Optimization and Stability #Pulse-width modulation #Stability (learning theory) #Topology (electrical circuits)
paper · doi:10.1080/0020717021000023771
openalex publication_date 2002/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
In this article, we are studying the non-linear effects in a single-phase H-bridge inverter. The PWM control is related to a current feedback control. We are proposing an analytical model, which is a piecewise linear map. The distinctive feature of this study lies in the investigation of the map's properties. This investigation allows for the analytical determination of the fixed points, their domains of stability, and of the bifurcation points. More precisely, we will show that some of these bifurcations are discontinuous. The analysis is performed while keeping in mind the current controller's tuning. In this particular setting, we will show that all the bifurcations are of a certain type: border collision bifurcations. Although we are treating the appearance of chaos in a converter, the work presented stays close to the preoccupations of the engineer, because the particularities of the digital control are shown as an advantage. Moreover, we have strived to comment on the different modes observed, periodic or not, by underlying their practical interest or disadvantages.