基于60Hz电路的短路冲击电流出现时刻的区间讨论  

Discussion on the Interval of Short Circuit Maximum Peak Current’s Occurrence Instant in 60 Hz Circuit

作　　者：徐志友 岳军 王丽君 XU Zhi-you;YUE Jun;WANG Li-jun(School of Electric Power Engineering,Shenyang Institute of Engineering,Shenyang 110136,Liaoning Province)

机构地区：[1]沈阳工程学院电力学院,辽宁沈阳110136

出　　处：《沈阳工程学院学报（自然科学版）》2021年第2期33-37,共5页Journal of Shenyang Institute of Engineering:Natural Science

基　　金：沈阳工程学院基金项目(XNZD-1801)。

摘　　要：对于恒压源供电的60 Hz感性电路而言,冲击电流大约出现在突然短路后的半个周期内。但是,不同时间常数的电路所对应的冲击电流出现时刻会有所差异。为此有必要分析实际电路中冲击电流出现时刻与半个周期的最大差异,即最不利的情况。经过分析可知,冲击电流出现在短路发生后的(0.96/120,1/120)s,与半个周期的最大差异小于4%。另外,冲击电流出现时刻是电路时间常数的拟凸函数。For a RL series circuit supplied by a constant voltage source which working at 60 Hz,roughly speaking,the maximum peak current occurs nearly at half of a cycle after the short circuit suddenly occurs.Because the different time constant affects the instant of short circuit maximum peak current’s occurrence differently,it is necessary to consider the worst case,namely,the maximum discrepancy with half of a cycle when maximum peak current appears.The conclusion is that the time interval when maximum peak current appears is(0.96/120,1/120)s after the short circuit suddenly occurs,i.e.,the maximum discrepancy with half of a cycle is less than 4%.Additionally,the instant of short circuit maximum peak current’s occurrence is a quasiconvex function of time constant.

关 键 词：冲击电流 牛顿法 单调增(减)函数 凹函数 拟凸函数 

分 类 号：GTM712