中文摘要：

电压模式控制boost变换器能产生多种分岔形式,对其分岔中的一类重要的切分岔现象进行了详细研究.首先根据系统的一次离散迭代映射推导出其三次离散迭代映射模型,基于非线性系统理论中的切分岔定理,从数学上推导出此类变换器产生切分岔现象的条件,并通过数值仿真研究了电路参数对这类变换器切分岔现象的影响.研究结果表明：当系统的反馈系数处在一定范围内时,该类变换器会出现切分岔和阵发混沌现象.最后通过实验研究boost变换器中存在的这类不稳定非线性现象,验证了理论分析和数值仿真的正确性.

英文摘要：

The voltage mode controlled boost converters contain plenty of bifurcation phenomena. Tangent bifurcation is one of these phe- nomena. The investigation of the tangent bifurcation in voltage mode controlled boost converters operating in discontinuous conduction mode （DCM） is performed. The third iterative map is derived according to the first iterative map. Based on the tangent bifurcation theorem, the conditions of producing the tangential bifurcation in the DCM boost converters are deduced mathematically. The com- puter simulations are performed to capture the effects of some chosen parameters on the tangent bifurcation behavior of the system. The results show that the variation of the feedback factor leads to tangent bifurcation and intermittent chaos phenomena. Experimental results show that the system does exhibit tangent bifurcation under the particular operating conditions, thus validating the theoretical analysis and the simulation results.