Abstract

A mathematical description of transients in converters and voltage stabilizers of standalone power-supply systems under load switching and change in supply voltage is given. Uncontrolled and controlled rectifiers and voltage stabilizers are considered. The apparatus of the theory of linear functions is used; the rectifiers are identified on the basis of the oscillatory link. The techniques required for calculating the zero and average values of the transition function and its first derivative for an uncontrolled rectifier are presented. The formulas for determining the maximum voltage surge and the transient process time are given. A controlled rectifier is modeled taking into account the presence of a proportional regulator that enables a significant reduction in the static instability of the output voltage. A linear stabilizer is considered as a controlled unit described by a first-order differential equation. Formulas for the analysis of the dynamic modes of such devices are derived.

中文翻译：

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独立电源系统的转换器和稳压器中瞬态过程的数学描述

摘要

给出了在负载切换和电源电压变化下独立电源系统的转换器和稳压器中瞬变的数学描述。考虑了不受控制和受控的整流器和稳压器。使用线性函数理论的装置；整流器是根据振荡链路来识别的。介绍了计算非受控整流器的过渡函数及其一阶导数的零值和平均值所需的技术。给出了确定最大电压浪涌和瞬态过程时间的公式。考虑到比例调节器的存在，可以对受控整流器进行建模，该调节器能够显着降低输出电压的静态不稳定性。线性稳定器被认为是由一阶微分方程描述的受控单元。导出了用于分析此类设备的动态模式的公式。