JZUS - Journal of Zhejiang University SCIENCE

Frontiers of Information Technology & Electronic Engineering 2023 Vol.24 No.2 P.289-298

http://doi.org/10.1631/FITEE.2200360

Unified construction of two n-order circuit networks with diodes

Author(s): Xiaoyan LIN, Zhizhong TAN
Affiliation(s): Department of Physics, Nantong University, Nantong 226019, China
Corresponding email(s): xiaoyanlin02@163.com, tanz@ntu.edu.cn
Key Words: Complex networks, Equivalent transform, Nonlinear difference equation, Equivalent resistance

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Abstract: In this paper, two different n-order topological circuit networks are connected by diodes to establish a unified network model, which is a previously unexplored problem. The network model includes not only five resistive elements but also diode devices, so the network contains many different network types. This problem can be solved through three main steps: First, the network is simplified into two different equivalent circuit models. Second, the nonlinear difference equation model is established by applying Kirchhoff’s law. Finally, the two equations with similar structures are processed uniformly, and the general solutions of the nonlinear difference equations are obtained by using the transformation technique. As an example, several interesting specific results are deduced. Our study on the network model has significant value, as it can be applied to relevant interdisciplinary research.

用二极管统一构建两个n阶电路网络

林小燕，谭志中
南通大学物理系，中国南通市，226019
摘要：本文通过二极管将两个不同的n阶拓扑电路网络连接起来，建立起一个统一的网络模型，这是一个以前没有研究解决的新问题。该网络模型不仅包含五个电阻元件，还包含二极管器件，因此该网络包含多种不同的网络类型。该问题可以通过三个主要步骤来解决：首先，将网络简化为两个不同的等效电路模型；其次，应用基尔霍夫定律建立非线性差分方程模型；最后，对结构相似的两个方程进行统一处理，并利用等效变换技术得到非线性差分方程的通解。作为应用，文章推导出几个有趣的特殊结果。网络模型的研究非常重要，可以应用于跨学科研究。

关键词：复杂网络；等效变换；非线性差分方程；等效电阻

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