电阻等效变换在直流电阻性电路中的应用

三角形(△)联结与星形(Y)联结等效变换可以减少两个节点,对外电路的作用完全一样。复杂的直流电阻性电路中经常遇到三角形(△)联结的电阻,可以借助三角形(△)联结与星形(Y)联结的等效变换减少节点,从而简化计算。在求一个4个节点的电路实例中,经过两次从三角形(△)联结到星形(Y)联结的电阻等效变换,不用列线性方程组,通过简单的电阻串并联关系就可以求出各支路电流。

The equivalent transformation of triangle(△)connection and star(Y)connection can reduce two nodes,and the function of external circuit is exactly the same.In complex DC resistive circuits,the resistance of triangle(△)connection is often encountered.The equivalent transformation between triangle(△)connection and star(Y)connection can be used to reduce the nodes,thus simplifying the calculation.In an example of a four-node circuit,after two equivalent transformations of resistance from triangle(△)connection to star(Y)connection,the branch currents can be obtained by simple series-parallel connection of resistors without a set of linear equations.