The Research Of Bifurcation And Chaos Behavior In Current-mode Controlled Boost Converter

The current-mode controled Boost converter was a DC-DC voltage converter device that waswidely used on various types of electrical equipment. It had some advantages, for example, a largegain, fast dynamic response, relatively small output inductor, simple compensation circuit and easyto current, high conversion efficiency,high power density, convenient large-scale integrated, inaddition, because of its structural advantage, it was irreplaceable in the field of active power factorcorrection. But it also had its own shortcomings, it contained switching nonlinear devices, it was astrong nonlinear system, in the course of their work easily produced a variety of unstablephenomenon due to improper selection of circuit parameters or external interference, but thosephenomenon seriously affected the normal use of electrical equipment, so the stability problem ofconverter had become one of the most important bottleneck that limited the application of thissystem.Based on the literature review, this paper introduced the basic theory of DC-DC converter andnonlinear, using these basic theory, the state equation of the current-mode controled Boostconverter was pushed, and the piecewise smooth switch model was estabished, adoptingstroboscopic mapping samples, the precise discrete iterative mode was estabished. The piecewisesmooth switch model was built in simulink of MATLAB to obtain the phase diagram and the timedomain chart; the precise discrete iterative mode was compiled in M file of MATLAB to obtain thebifurcation diagram, the Poincare mapping, the discrete value of output voltage and inductorcurrent. Two kinds of model simulation results had the better consistency, which were proved theexistence of bifurcation and chaos phenomena in the current-mode Boost converter.The nonlinear phenomena in the current-mode controlled Boost converter maked its workingcondition unstable, for which we had to adopt some strategies to control them. According to theexisting control methods, they could be divided into the feedback control method and thenon-feedback control methods, the non-feedback control method had very high practicability andrelatively mature methods. The paper mainly analyzed the working principle of slopecompensation method and resonant parametric pertubation method, and than two kinds of methodswere used in the current-mode controlled Boost converter, and resonant parametric pertubationmethod was simulated in the MATLAB. It had been demonxtrated that these problems of electromagnetic interference and large outputripple in the current-mode Boost converter were often suppressed by spread spectrum technology.But the bifurcation and chaos phenomena was ignored, therefore, this paper, for the first time,studied the bifurcation and chaos phenomena of using spread spectrum technology in thecurrent-mode controlled Boost converter. This paper explored the non-linear after the adaptation ofrandom, sine wave wave snd triangular wave spread spectrum the bifurcation diagrams of differentconditions were obtained by M file of MATLAB, and those simulation results showed that thenonlinear phenomena of the converter had different effects after using different spread spectrumtechnology, at the same time, in the case of converter circuit parameters, different frequency rangeof spread spectrum technology had different effects on the converter. It had very importantsignificance for switching converter hardware design.