摘要
从Boost变换器的状态空间平均模型出发,以微分动力学理论为基础,以状态反馈系数k1,k2为分岔变量分析了系统的稳定性,得到了系统的几种不稳定行为和稳定判据.结果表明:当占空比饱和时,系统相当于开环运行,负载的变化会导致输出电压不稳定;而当系统运行于非饱和非线性区时,系统参数决定了雅可比矩阵的特征值,而不同的雅可比矩阵特征值又决定了系统的稳定或不稳定行为.文中定性分析了系统参数对稳定性的影响,采用Matlab仿真验证了分析的正确性.
The stability of Boost converter is analyzed based on the differential dynamic theory and the state-space. average model, with the feedback parameters k1 and k2 as the bifurcation variables. Several unstable behaviors and the corresponding stability criteria are thus revealed. The results indicate that, when the duty radio of the converter is saturated, the converter is open-looped, with an unstable output voltage due to the load variation, and that when the duty radio is unsaturated and the model is nonlinear, the eigenvalues of Jacobian matrix, which result in the stable or unstable behaviors of the system, are the functions of system parameters. A qualitative analysis of the relationship between system parameters and the stability is finally carried out, the correctness of which is verified by Matlab simulation.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第10期77-82,共6页
Journal of South China University of Technology(Natural Science Edition)
