On the Fractional-Order 3D △×n Memristor-LC Circuit Network Model

Yan Long, Rui Zhou, Zhenduo Zhang, Diyi Chen, Wei Yao, Herbert Ho-Ching Iu

Research output: Contribution to journalArticlepeer-review

1 Citation (Web of Science)


In this paper, we present a mathematical model for the 3D △×n memristor-LC circuit network in the fractional-order sense. First, the impedance of the fractional-order 3D circuit network is derived using matrix transform method and difference equation model. Moreover, we extend the concept of saturation time across the memristor to the circuit network and attempt to explore the relationship between the generalized saturation time and the direct voltage across the network in fractional-order sense. In addition, the effects of the time-varying characteristics of the memristor on the fractional-order 3D circuit network are studied. Also, we propose some issues remaining to be addressed in the near future for the network model. Furthermore, the impedance characteristics are specifically analyzed with theoretical analyses and numerical simulations, where many interesting phenomena are discussed. Finally, sensitivity analysis is provided to carefully investigate the effects of various input parameters on the output response of the fractional-order 3D circuit network.

Original languageEnglish
Pages (from-to)537-550
Number of pages14
JournalElectric Power Components and Systems
Issue number6-7
Publication statusPublished - 21 Apr 2019


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