设有一个具有n个节点的线性电路,其中节点0为参考点。而节点1和节点2之间有一阻抗Z相接,如图1所示。又设节点电位U1和U2的比值为一常数K,即U2/U1=K。把Z从节点1和节点2之间移去,在节点1与参考节点0之间接另一个阻抗Z1,在节点2与参考节点0之间接另一个阻抗Z2,如图2所示。如果Z1=Z/(1-K),Z2=Z/(1-1/K),则图1、2所示两电路,就各节点的KCL方程来说是完全等效的。这就是密勒定理。
指出了密勒定理应用中易产生的错误和使用该定理的注意点,并给出了计算实例。
This paper has proved the Strictness of the theorem and Specified its applications with points for attention guarding against liable mistakes. Calculation examples are also provided.
本文介绍了密勒定理的四种形式,并应用这些形式分析了反馈网络的各项性能指标。
The four forms the Miller's theorems take are introduced and used to analyse the characteristics of the feedback network.
本文通过实例,证明了密勒定理的严格性。文中从工程观点出发,对该定理作出合理的近似处理,并提出了使用该定理的条件及注意点。
The strictness of Miller's Theorem is proved with an example. Approximations from the engineering standpoint and conditions for using this theorem are proposed and precautions are suggested.
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