Boost型开关变换器的建模与控制

摘要

根据Boost型开关变换器工作原理,在低频、小信号、小纹波假设条件下,利用状态空间平均法和欧拉公式建立了从控制到输出的数学模型.由于其传递函数存在s右半平面的零点,系统成为非最小相位系统,根据该系统的特点,设计了超前-滞后补偿网络对系统进行了串联校正.仿真和实验结果的良好动、静态性能验证了数学模型和控制策略的合理性,为其他非最小相位系统的分析和设计提供了理论依据.%According to the principle of Boost converter, under the assumption conditions of low-frequency, small signal and small ripple wave, signal math model of Boost converter is established by using state-space averaging method and euler formula. The transfer function exist a zero in right half of s surface,the system become a non-mininum phase system, the system is corrected by the series device with lead and lag correction.The better dynamic and static performance results of simulation and experimental verify that the mathematical model and control strategy are reasonable,it provide a theoretical basis to other non-minimum phase systems analysis and design.