Bifurcation and Chaos in a Pulse Width modulation controlled Buck Converter

Power electronic system with pulse width modulation (PWM) control is studied. Behaviour characteristicfor a nonlinear dynamical system is observed and theoretically explained. A DC-DC buck converter controlled bya voltage feedback is taken as an example. The studied system is described by a system of piecewise-smooth nonautonomous differential equations. The research are focused on chaotic oscillations analysis and analytical search for bifurcations dependent on parameter. The most frequent route to chaos by the period doubling is observed in thesecond order DC-DC buck converter. Other bifurcations as a complex behaviour in power electronic system evidenceare also described. In order to verify theoretical study the experimental DC-DC buck converter was build. The resultsobtained from three sources were presented and compared. A very good agreement between theory and experiment was observed