Abstract
Tangent bifurcation is a special bifurcation in nonlinear dynamic systems. The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction mode (CCM) is performed. The one-dimensional discrete iterative map of the boost converter is derived. Based on the tangent bifurcation theorem, the conditions of producing the tangent bifurcation in CCM boost converters are deduced mathematically. The mechanism of the tangent bifurcation in CCM boost is exposed from the viewpoint of nonlinear dynamic systems. The tangent bifurcation in the boost converter is verified by numerical simulations such as discrete iterative maps, bifurcation map and Lyapunov exponent. The simulation results are in agreement with the theoretical analysis, thus validating the correctness of the theory.
Highlights
In recent years, ones are quite interested in chaos exhibited in the field of power electronics
The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction mode (CCM) is performed
The mechanism of the tangent bifurcation in CCM boost is exposed from the viewpoint of nonlinear dynamic systems
Summary
Ones are quite interested in chaos exhibited in the field of power electronics. The chaos is characteristic of non-repeat, uncertainty and is extreme sensitive to initial conditions These nonlinear phenomena make the nonlinear dynamic characteristics of DC-DC converter more complex. The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction mode (CCM) is deeply studied. There are strict stability criteria and the conditions leading to the tangent bifurcation in mathematics based on the theories of nonlinear dynamic systems [13,14]. Bifurcation diagram, Lyapunov exponent are done to analyze the mechanism and evolution of leading to the tangent bifurcation. The methods proposed in the paper can be suitable to analysis of the tangent bifurcation and chaos of other kinds of converter circuits
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