梯形阻抗网络等效阻抗及结点电压的研究

The research of ladder shaped resistance network

通过构造母函数的方法求解递推关系推导出梯形阻抗网络的等效阻抗,并证得当级数满足一定的条件时,等效阻抗的值在一定误差范围之内才能接近一个定值.同时采用递推关系推导出梯形阻抗网络的结点电压公式,这种分析方法在复杂电路网络及算法分析中可以实际运用.

When we use the relationship of recursion to solve out ladder-shaped electronic network by the method of forming mother function,and prove a certain condition of series,the result of equivalent resistance can reach a certain value within some error range.Meanwhile,this analysis method of working out ladder-shaped resistance network's voltage of joint through recursion relationship can be used in complex circuit network and analysis of algoithm practically.