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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2017 Vol.18 No.8 P.1186-1196
A fractional-order multifunctional n-step honeycomb RLC circuit network
Abstract: We investigate a multifunctional n-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 n-step impedance LC network is discussed and many new characteristics of complex impedance have been found.
Key words: Honeycomb network; Equivalent transformation; Fractional differential equation; Impedance characteristics
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DOI:
10.1631/FITEE.1601560
CLC number:
O441.1; TN711.3
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On-line Access:
2017-09-08
Received:
2016-10-18
Revision Accepted:
2017-03-12
Crosschecked:
2017-08-14