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场论说对网络等效变换一般形式的推导

The Most General Equation of Equivalent Transformation for Network with Field Theory

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【作者】 吴春曙王建成梁昕

【Author】 WU Chun-shu,WANG Jian-cheng,LIANG Xin(College of Information Science and Engineering,Huaqiao University,Quanzhou 362021,China)

【机构】 华侨大学信息科学与工程学院

【摘要】 应用场论说的非线性网络节点电压法一般形式的网络状态方程,以及同时可表示节点复自导和节点复互导的新公式,推导n端口星形连接网络和n端口网形连接网络的等效变换一般形式公式.当n=2时,可以由星形连接网络变为网形连接网络,但不能由网形连接网络变为星形连接网络;当n=3时,星形连接网络和网形连接网络的支路数一样,它们之间有相互对应的等效变换公式.以上变换是在假设.GΣ≠0的条件下实现的.

【Abstract】 In order to deduce the most general equation of equivalent transformation for n-stars-shape-network to n-net-shape-network,this paper exploits the most general equation of node electrical potential with field theory in nonlinear network and the new formula which can be expressed by complex self-inductance and mutual-inductance simultaneously,when n=2,the stars-shape-network can be changed to the net-shape-network.On the contrary,the net-shape-network can not be changed to the stars-shape-network.When n=3 and G·Σ≠0,there is the formula of equivalent transformation between stars-shape-network and net-shape-network,because they have the same branches.

  • 【文献出处】 华侨大学学报(自然科学版) ,Journal of Huaqiao University(Natural Science) , 编辑部邮箱 ,2009年02期
  • 【分类号】TM13
  • 【下载频次】48
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