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2017, Volume 18, Issue 8

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Frontiers of Information Technology & Electronic Engineering >> 2017, Volume 18, Issue 8 doi: 10.1631/FITEE.1601560

A fractional-order multifunctionaln-step honeycomb RLC circuit network

. Department of Physics, Nantong University, Nantong 226019, China.. Department of Mathematics, Nantong University, Nantong 226019, China

Available online: 2017-10-31
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Abstract

We investigate a multifunctional -step honeycomb network which has not been studied before. By adjusting the circuit parameters, such a network can be transformed into several different networks with a variety of functions, such as a regular ladder network and a triangular network. We derive two new formulae for equivalent resistance in the resistor network and equivalent impedance in the LC network, which are in the fractional-order domain. First, we simplify the complex network into a simple equivalent model. Second, using Kirchhoff’s laws, we establish a fractional difference equation. Third, we construct an equivalent transformation method to obtain a general solution for the nonlinear differential equation. In practical applications, several interesting special results are obtained. In particular, an step impedance LC network is discussed and many new characteristics of complex impedance have been found.

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