摘要
基于电感电流和输出电压的波动频率远低于变换器开关频率的假设,给出了连续导电模式(CCM)与不连续导电模式(DCM)的临界条件,建立了单周期控制器的S域模型,并分别导出了Boost变换器工作在CCM和DCM下的闭环输出-基准电压传递函数.研究结果表明,完全工作在DCM时,变换器处于稳定的周期1状态,而运行在CCM时,变换器将出现低频波动现象.此外,采用零极点分析方法给出了变换器低频波动的频率,并通过变换器拓扑结构的约束关系确定了系统低频波动的幅值.最后,Matlab数值仿真及电路实验验证了理论分析的结果.
On the assumption that the frequencies of the inductor current and output voltage are much lower than the switching frequency of the converter, the critical condition between the discontinuous conduction mode (DCM) and the continuous conduction mode (CCM) is given, and the transfer function of the closed loop output to the reference voltage under DCM and CCM are derived respectively. The analytical results show that the DC-DC Boost converter can be stable in the state of period 1 in DCM, but it can not be stable in CCM, i.e., the low-frequency oscillation will occur. Further, the frequency of the low- frequency oscillation is calculated by using zero-pole analysis method, and the oscillation amplitude of the output voltage is calculated in terms of the topology of the circuit. Finally, the theoretical results are verified by numerical simulations and circuit experiments.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第3期1522-1528,共7页
Acta Physica Sinica
基金
国家自然科学基金(批准号:50607015)
高等学校博士学科点专项科研基金(批准号:20050698004)
陕西省自然科学基金(批准号:2006E113)资助的课题~~
关键词
低频波动
单周期控制
BOOST变换器
平均模型
low-frequency oscillation, one cycle control, Boost converter, average model