对四端蛛网电阻网络等效电路的研究  

Investigation on the equivalent circuit of four-terminal cobweb resistance network

作　　者：刘松山[1] 

机构地区：[1]河南艺术职业学院教务处,河南郑州451464

出　　处：《大学物理》2016年第9期12-15,49,共5页College Physics

基　　金：河南省自然科学基金研究项目(152300410213)资助

摘　　要：对电阻不相等的2×4阶蛛网电路,应用星形电路与多角形电路的等效互换方法和构建等效条件方法,将其等效为最简单的电路.计算了该电路A1—A4端钮之间的等效电阻,并用Multisim 12中的万用表对原电路和等效电路的A1—A4端钮之间的等效电阻进行了仿真测量.结果是理论计算与仿真测量结果一致.分析了3×4阶蛛网电阻网络的等效电路问题.这项研究的目的是把电阻不相等的四端蛛网电阻网络等效化简为在四端星形电路外端钮之间接有1-2个电阻的电路,以利于分析计算.介绍了对电路等效的一种新方法,即应用星形电路与多角形电路等效互换方法和构建等效条件方法,可以解决含有一般星形电路或多角形电路的等效化简问题.The equivalent transformation method for star circuit and polygon circuit and the equivalent condition construction method are applied to the 2×4 order cobweb circuit with different resistance, in which the circuit is termed into a simplest equivalent one. The equivalent resistances at A1-A4 are calculated, and the Muhisim 12 multi-meter is used to get a simulative test of the former circuit and equivalent resistances between A1-A4 terminals. The results show that the theoretical calculation and the simulative test are consistent. The equivalence circuit problem of the 3×4 order cobweb resistance network is analyzed. The 4-end cobweb resistance network with different resistance can be simplified as a 4-end star circuit with 1 or 2 resistances between terminals, which is con- venient for calculation. A new method is given for circuit equivalence. According to the method, the equivalent transformation method between star circuit and polygon circuit and equivalent condition construction method can be used to solve the problem of the equivalent simplification between general star circuit and polygon circuit.

关 键 词：蛛网模型 等效变换 星形电路 多角形电路 

分 类 号：O441.1[理学—电磁学]