M BOOST变换器中切分叉条件的研究

angent bifurcation is a special bifurcation in nonlinear dynamic system. The paper analyzes the problem in the light of the theories of nonlinear dynamic system. Based on the theorem of tangent bifurcation, the conditions leading to the tangent bifurcation in the discrete iterative model of the CCM boost converter are demonstrated mathematically. Discrete iterative maps, bifurcation diagram, Liyapunov exponent are done to analyze the mechanism and evolution of leading to the tangent bifurcation. The simulation results are in agreement with the theoretical analysis. The methods proposed in the paper can also be suitable to analysis of the tangent bifurcation and chaos of other converter circuits.