Abstract
Recently it has been observed that power electronic converters working under current mode control exhibit codimensional-2 bifurcations through the interaction of their slow-scale and fast-scale dynamics. In this paper, the authors further probe this phenomenon with the use of the saltation matrix instead of the Poincaré map. Using this method, the authors are able to study and analyze more exotic bifurcation phenomena that occur in cascade current mode controlled boost converter. Finally, we propose two control strategies that guarantee the stable period-one operation. Numerical and analytical results validate our analysis.
Highlights
Power electronic circuits are normally designed to operate in a periodic steady state
When Vin is reduced to 3.3058 v, the period-2 orbit loses its stability via a slow-scale bifurcation
The Stability Analysis for the Boost Converter In DC/DC converters, one is interested in the stability of a periodic orbit that starts at a specific state at a clock instant and returns to the same state at the end of the clock period
Summary
Power electronic circuits are normally designed to operate in a periodic steady state. We have detected the unstable tori and have demonstrated that the sudden departure from stable torus to a saturation behavior is caused by a collision between a stable and an unstable torus Such complex nonlinear phenomena and bifurcations need comprehensive efforts to capture their dynamical behaviour and analyse their stability in order to apply appropriate controllers to avoid such instabilities. In this paper a new control technique is developed based on the expression of the saltation matrix to control nonlinear behaviours in a cascade current-mode control boost converter to overcome a number of complex instabilities occurring in the system This technique has been successfully applied in [12,13,14,15]
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