Large-signal stability-oriented design of boost regulators based on a Lyapunov criterion with nonlinear integral
Large-signal stability-oriented design of boost regulators based on a Lyapunov criterion with nonlinear integral
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DOI：
10.1109/tcsi.2002.803350
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发表时间：
2002-12
影响因子：
5.1
通讯作者：
Y. Berkovich;A. Ioinovici
中科院分区：
文献类型：
--
作者：
Y. Berkovich;A. Ioinovici
在不使用平均近似的情况下，得到了Boost脉宽调制变换器（硬开关和软开关，连续和不连续导通模式）的精确非线性微分方程。一个扩展的方程组还包含参考电压和输出电压之间的积分误差的微分方程。一个正定的李雅普诺夫函数的定义，包括在其表达式的非线性积分型Lurie。确定了系统的李雅普诺夫稳定性的充分条件。因此，制定的反馈电路的参数，确保系统的大信号稳定性的约束。这些约束将反馈电路的参数与功率级元件、负载、开关频率、稳态占空比的值相关联。对于不同的值的稳态占空比，图形边界，确保大信号的稳定性的所有负载的变化的设计。仿真和实验验证了设计的稳定性。
Exact nonlinear differential equations of boost pulsewidth modulation converters (either with hard-switching or soft-switching, in continuous and discontinuous conduction mode) are obtained, without using average approximations. An extended system of equations also contains the differential equation of the integrated error between the reference and the output voltage. A positive-definite Lyapunov function is defined, including in its expression a nonlinear integral of type Lurie. Sufficient conditions for the Lyapunov stability of the system are determined. Consequently, constraints on the feedback circuit parameters that assure the large-signal stability of the system are formulated. These constraints relate the parameters of the feedback circuit with the values of the power stage elements, load, switching frequency, steady-state duty-cycle. For different values of the steady-state duty-cycle, graphical boundaries which assure the large-signal stability for all the variation of the load are designed. Simulations and experiments confirm the stability of the design.