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大多数自动电平调节的控制器具有限幅特性,并且在载波电路中总是多站串接工作的。因此必须研究具有限幅特性多站串接的动态特性。但是,用解析的方法研究这个特性是非常困难的。 本文用下面方法解决这个问题: 首先根据文献[1]得到第一站和其它各站的两组微分方程。再对应某一时刻的响应,从头到尾把全线所有各站都计算在内。 这显然包含了非常繁重的计算,因此我们采用计算机来完成。我们使用亚当—摩顿(A-M)多步预报——校正法作数值计算,并用四阶龙格—库塔(R-K)法来计算初值。 本文得到了站数与线性范围和过调度的关系。计算的精确度和计算速率都是令人满意的。
Most automatic level control of the controller with limiting characteristics, and in the carrier circuit is always multi-station serial work. Therefore, it is necessary to study the dynamic characteristics of multi-station series with limiting characteristics. However, it is very difficult to study this characteristic analytically. In this paper, the following method is used to solve this problem: Firstly, two sets of differential equations of the first station and other stations are obtained according to [1]. Corresponding to a certain moment of response, all stations throughout the line are counted from start to finish. Obviously, this involves a very heavy calculation, so we use a computer to do it. We used the A-M multi-step prediction-correction method for numerical calculations and the fourth-order Runge-Kutta (R-K) method to calculate initial values. In this paper, we get the relationship between the number of stations and the linear range and over-scheduling. Calculated accuracy and computational speed are satisfactory.