Study of bifurcation and chaos in higher-order DC-DC converter

Compared with the second-order converter, higher-order converter has the unique advantage of the continuous input current, which increases the complexity of nonlinear phenomena of the system. This paper studies the nonlinear dynamics of the higher-order converter with peak current control. The stability of the higher-order converter is analyzed in detail with the discrete-time model. Then, the simulation circuit of the higher-order converter is designed in Matlab/simulink. The bifurcation diagram, time-domain waveforms, phase portraits, Poincare section diagrams and power spectral diagrams of the higher-order converter have been respectively acquired with the feedback current gain multiple as the bifurcation parameter. On the other hand, EMI of the higher-order converter can be reduced by analyzing the power spectrum when the converter is operating in the chaotic state.