Realizability of a Bicubic Impedance Function with One Resistive Element and Three Reactive Elements

Weimin Xue, Yanmei Teng, Lei Wang, Michael Z.Q. Chen, Qing Guo Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper deals with the realizability of a bicubic impedance function with one resistive element and three reactive elements. It would be too complex to determine the positive realness of the impedance function if we enumerate all the possible networks. To solve this problem, we assume that a bicubic impedance function is obtained by a class of networks described by a circuit with a biquadratic impedance function in series or parallel with another circuit of a single reactive element. Then, we show the positive real relationship between them, and provide all the realizations of the bicubic impedance function by one resistive element and three reactive elements. Finally, two examples are given for illustration and validation of our results.

Original languageEnglish
Title of host publicationProceedings of the 37th Chinese Control Conference, CCC 2018
EditorsXin Chen, Qianchuan Zhao
PublisherIEEE Computer Society
Pages6294-6298
Number of pages5
ISBN (Electronic)9789881563941
DOIs
Publication statusPublished - 5 Oct 2018
Event37th Chinese Control Conference, CCC 2018 - Wuhan, China
Duration: 25 Jul 201827 Jul 2018

Publication series

NameChinese Control Conference, CCC
Volume2018-July
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference37th Chinese Control Conference, CCC 2018
Country/TerritoryChina
CityWuhan
Period25/07/1827/07/18

Keywords

  • Bicubic Impedance
  • Biquadratic Impedance
  • Positive Real Function
  • Reactive Elements
  • Realization

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Fingerprint

Dive into the research topics of 'Realizability of a Bicubic Impedance Function with One Resistive Element and Three Reactive Elements'. Together they form a unique fingerprint.

Cite this