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

Tan Zhe

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Abstract

We achieve two equivalent resistance formulae between two remote nodes of 3D □×n network by modeling equivalent method,and apply it effectively to LCcomplex 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 nis large enough.

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What this paper is about

We achieve two equivalent resistance formulae between two remote nodes of 3D □×n network by modeling equivalent method,and apply it effectively to LCcomplex 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 nis large enough.

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Available abstract

We achieve two equivalent resistance formulae between two remote nodes of 3D □×n network by modeling equivalent method,and apply it effectively to LCcomplex 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 nis large enough.

Key concepts: Electrical impedance, Equivalent circuit, Physics, Equivalent impedance transforms, Equivalent series resistance, Simple (philosophy), Input impedance, Acoustics

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