一类分数阶多功能n阶蜂巢型RLC电路网络（英文）

发布时间：2018-03-09 08:03

本文选题：蜂巢型网络　切入点：等效变换　出处：《Frontiers of Information Technology & Electronic Engineering》2017年08期 　论文类型：期刊论文

【摘要】：研究了一类多功能n阶蜂巢型电阻网络模型,该问题一直未被解决。通过调节电路参数,该网络模型可以转化为含有多种功能的数个不同网络模型,例如一个规则的梯形网络、一个n阶三角形网络,等。我们导出了电阻网络的2个新的等效电阻公式,同时导出了LC网络的等效复阻抗公式,它们都属于分数阶范畴。首先,将一个复杂网络简化为一个简单的等效模型;其次,应用基尔霍夫定律,建立一个分式差分方程模型;再次,采用等效变换方法,给出非线性差分方程的通解。在实际应用中,获得了数个有趣的特殊结论。特别地,讨论分析了一个n阶LC复阻抗网络,发现了许多新的等效复阻抗特性。
[Abstract]:A class of multifunctional n-order honeycomb resistor network model has not been solved. By adjusting circuit parameters, the network model can be transformed into several different network models with multiple functions, such as a regular trapezoid network. In this paper, we derive two new equivalent resistance formulas of resistive networks, and derive the equivalent complex impedance formulas of LC networks, all of which belong to the category of fractional order. A complex network is simplified into a simple equivalent model. Secondly, a fractional difference equation model is established by applying Kirchhoff's law. Thirdly, the general solution of nonlinear difference equation is given by using equivalent transformation method. Several interesting and special conclusions are obtained. In particular, we discuss and analyze an n-order LC complex impedance network and find many new equivalent complex impedance characteristics.
【作者单位】： Department
【基金】：supported by the Jiangsu Provincial Science Foundation(No.BK20161278)
【分类号】：TN711

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