Bifurcation Analysis in a Self-Oscillating Series Resonant Converter
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E. Ponce
Abstract
In this paper, the dynamics of a dc-ac resonant self-oscillating LC series inverter is analyzed from the point of view of piecewise smooth dynamical systems. The system under study is defined by two symmetric configurations and its bifurcation analysis is performed in a one dimensional parameter space. This analysis reveals that a non smooth transition takes place between two strongly different dynamical behaviors. The first one is an oscillating regime, which is the one used in applications and it involves a repetitive switching sequence between the system configurations. This behavior is exhibited whenever the open loop equilibrium corresponding to the system configurations are foci. The second one is a non desired stationary regime corresponding to the equilibrium points of node typewhose stable manifolds preclude the appearance of oscillations.
Abstract
In this paper, the dynamics of a dc-ac resonant self-oscillating LC series inverter is analyzed from the point of view of piecewise smooth dynamical systems. The system under study is defined by two symmetric configurations and its bifurcation analysis is performed in a one dimensional parameter space. This analysis reveals that a non smooth transition takes place between two strongly different dynamical behaviors. The first one is an oscillating regime, which is the one used in applications and it involves a repetitive switching sequence between the system configurations. This behavior is exhibited whenever the open loop equilibrium corresponding to the system configurations are foci. The second one is a non desired stationary regime corresponding to the equilibrium points of node typewhose stable manifolds preclude the appearance of oscillations.
Chapters in this book
- Frontmatter I
- Contents XI
- Multi-phase Current Source Cycloconverter Using Amplitude Modulation Technique 1
- Bifurcation Analysis in a Self-Oscillating Series Resonant Converter 15
- Optimal design targeting the environmental footprint reduction of an electrical railway subsystem 29
- Long - Term Energy Losses Analyses For Jordanian Power system (Commercial Losses) 49
- A Novel Dynamics Approximation method for Analysis and Design of DC Drive Systems 59
- Third order Model and Identification of Lead Acid Batteries Using Meta-Heuristic Algorithms and Experimental Measurements 73
- A short circuit fault estimation in PMSM: A comparative study of an adaptive observer and an unknown inputs observer 93
- DCC and DTC of Three-Level Inverter Fed Brushless DC Motor Drives with Torque Ripple Reduction 113
Chapters in this book
- Frontmatter I
- Contents XI
- Multi-phase Current Source Cycloconverter Using Amplitude Modulation Technique 1
- Bifurcation Analysis in a Self-Oscillating Series Resonant Converter 15
- Optimal design targeting the environmental footprint reduction of an electrical railway subsystem 29
- Long - Term Energy Losses Analyses For Jordanian Power system (Commercial Losses) 49
- A Novel Dynamics Approximation method for Analysis and Design of DC Drive Systems 59
- Third order Model and Identification of Lead Acid Batteries Using Meta-Heuristic Algorithms and Experimental Measurements 73
- A short circuit fault estimation in PMSM: A comparative study of an adaptive observer and an unknown inputs observer 93
- DCC and DTC of Three-Level Inverter Fed Brushless DC Motor Drives with Torque Ripple Reduction 113
