大学物理 ›› 2014, Vol. 33 ›› Issue (5): 53-53.

• 著者文摘 • 上一篇    下一篇

构建等效模型研究三维网络的等效电阻及复阻抗

谭震[1] 谭志中[2]   

  1. [1]南通大学电子信息学院,江苏南通226007 [2]南通大学理学院,江苏南通226007
  • 出版日期:2014-05-25 发布日期:2014-05-20

Modeling equivalent to study the equivalent resistance and complex impedance of 3D □×n network

  • Online:2014-05-25 Published:2014-05-20

摘要: 采用构建等效模型的方法给出了三维□×n阶网络远节点之间的2个等效电阻公式,并且有效地应用于LC复阻抗网络,分析研究了等效复阻抗的一些基本特性.研究表明,等效复阻抗的共鸣特性和混沌特性依赖于输入电流的圆频率.研究发现当网格数n足够大时,三维□×n阶网络远节点之间的等效电阻可以统一为一个简单的近似公式.

关键词: 三维□×n阶网络, 等效模型, 等效电阻与复阻抗, 共鸣特性, 混沌特性

Abstract: We achieve two equivalent resistance formulae between two remote nodes of 3D □×nnetwork by modeling equivalent method,and apply it effectively to LC complex impedance of the network. Some basic properties of the equivalent impedance are analyzed and discovered. It is shown that the resonance characteristics and chaos characteristics of the equivalent impedance depend on the circular frequency of the input current. We have found that the equivalent resistance between two remote nodes of 3D □×n network can be unified as a simple formula when the grid number n is large enough.

Key words: 3D □×n network, equivalent model, equivalent resistance and complex impedance, resonancecharacteristics, chaotic characteristics

中图分类号: 

  • TM131