二阶RLC串联电路暂态响应的简明表述  

Concise Expression of The Transient Response of a Second-Order RLC Series Circuit

作　　者：李志平 LI ZHi-ping(Electric Power Research Institute,CSG.,Guangzhou 510663,China)

机构地区：[1]南方电网科学研究院,广东广州510663

出　　处：《电气电子教学学报》2020年第6期67-70,共4页Journal of Electrical and Electronic Education

基　　金：南方电网公司科技项目“特高压混合直流控制保护参数选取理论方法及验证”(ZBKJXM20170070)。

摘　　要：二阶RLC串联电路的暂态过程,在电力生产实际中比较常见。“电路理论”及“高等数学”对此都有很成熟的解法,但是这些结果不能简明地反映其和电路参数的关系。本文通过深入的分析发现一种简明实用的表述二阶RLC电路响应结果的公式。参照一阶RL或RC电路的时间常数,对二阶电路定义三个参数,特别是利用其中的一个参数,可以简化二阶电路暂态响应的计算公式以及简化暂态电压电流最大值的计算方法。据此可以更直观判断二阶RLC电路参数对暂态响应结果的影响。The transient process of the second-order RLC series circuit occur in the electric power system usually.It can be solved easily by the method of Circuit Theory and Hight Level Mathematics,but these results cannot reflect the relationship between them and circuit parameters concisely.This paper finds a concise and practical formula for expressing the transient response results of second-order RLC circuits by detailed analysis,.Referring to the time constant of the first-order RL or RC circuit,three parameters are defined for the second-order circuit,and in particular,one of the parameters can be used to simplify the calculation formula of the transient response of the second-order circuit and the calculation method of the maximum value of the transient voltage and current.According to this,the relationship between the circuit parameters and the response result can be more conciseness.

关 键 词：二阶电路 暂态过程 响应 

分 类 号：G426[文化科学—课程与教学论]