Abstract

Methodological provisions for studying transient processes in the systems of autonomous power supply with a chemical current source are considered in the presence of nonlinear elements in the voltage control system. The method of statistical linearization has been used to study the dynamics of this system. The equivalent circuit of the system and the mathematical apparatus that allows one to determine the statistical amplification coefficients have been suggested. The stationary random process to change power consumption from the power supply is represented as a mathematical expectation and a decreasing correlation function, and the electrochemical cell in the transition mode at the section a slow change in the output coordinate is considered as an aperiodic link of the first order. Two methods to solve the obtained system of equations, which describes a change in the voltage at output of an electrochemical cell, have been suggested: the method of successive approximations and the graphical method. An example of calculation of the transient process of an autonomous power supply system with an electrochemical cell has been considered.

中文翻译：

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组成中存在非线性元素的自治电源系统动态运行模式的数学描述。

摘要

在电压控制系统中存在非线性元件的情况下，考虑了用于研究具有化学电流源的自主电源系统中的瞬态过程的方法学规定。统计线性化方法已用于研究该系统的动力学。已经提出了允许人们确定统计放大系数的系统和数学装置的等效电路。改变电源消耗功率的静态随机过程表示为数学期望和递减的相关函数，并且在过渡模式下在输出坐标缓慢变化的区域中处于过渡模式的电化学电池被认为是电池的非周期性链接。第一个订单。有两种方法可以解决所获得的方程组，已经提出了描述电化学电池输出电压变化的方法：逐次逼近法和图形法。已经考虑了具有电化学电池的自主电源系统的过渡过程的计算示例。