二阶RLC电路响应与参数的关系及工程应用  

The Relationship Between Response and Parameter of Second-order RLC Circuit and Its Application

作　　者：李志平 LI Zhiping(Electric Power Research Institute,CSG.,Guangzhou,Guangdong 510663,China)

机构地区：[1]南方电网科学研究院,广东广州510663

出　　处：《上海电力大学学报》2022年第4期322-326,共5页Journal of Shanghai University of Electric Power

摘　　要：二阶RLC串联电路的暂态过程,在电路理论及高等数学都有很成熟的解法。自动控制原理在上述基础上引入一个阻尼系数进行讨论,但是这些结果不能简明地反映电路响应与电路参数的关系。参照自动控制原理引入一个振荡系数,可以简化二阶电路暂态响应的计算公式。对非振荡型响应提出了近似等同于一阶RC电路的响应条件,对振荡型响应提出了简明的判断振荡频率周期及衰减趋势方法。以一个高压直流输电的二阶电路的暂态过程为例进行了分析和计算,暂态响应结果符合期望状态。The transient process of the second-order RLC series circuit can be solved easily by the method of electrical circuit theory and hight level mathematics.The principle of automatic control introduces a damping coefficient to discuss on the basis of the above,but these results cannot reflect the relationship between circuit responses and circuit parameters.This paper introduces an oscillation coefficient based on the principle of automatic control,which can simplify the calculation formula of the transient response of the second-order circuit.For the non-oscillating response,the condition that the response of the second-order RLC circuit is approximately equivalent to the response of the first-order RC circuit is proposed.For the oscillating response,a concise calculation method for the maximum transient voltage and current is proposed.An example of the transient process of a second-order circuit of high-voltage direct current transmission is given.It is more intuitive to judge the influence of the second-order RLC circuit parameters on the transient response results.

关 键 词：二阶电路 暂态过程 自动控制原理 响应 

分 类 号：G426[文化科学—课程与教学论]