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Numerical solver for fractional nonlinear circuit problems

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

3 Citations (Scopus)

Abstract

A numerical solver (applicable in GNU Octave and in Matlab) has been presented. The solver has been built in order to solve transient problems of circuit theory that feature fractional and nonlinear circuit elements (i.e. fractional coils and fractional capacitors that can even be nonlinear elements). The problems lead to a general form of fractional differential-algebraic equations. The introduced numerical solver relies on the SubIval numerical method, which is briefly recalled. The options for the solver are given and a simple circuit example containing fractional and nonlinear elements is considered. The problem is solved and the results are presented and analyzed along with the error estimation results.

Original languageEnglish
Title of host publication2019 IEEE 39th Central America and Panama Convention, CONCAPAN 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728108834
DOIs
Publication statusPublished - Nov 2019
Event39th IEEE Central America and Panama Convention, CONCAPAN 2019 - Guatemala City, Guatemala
Duration: 20 Nov 201922 Nov 2019

Publication series

Name2019 IEEE 39th Central America and Panama Convention, CONCAPAN 2019
Volume2019-November

Conference

Conference39th IEEE Central America and Panama Convention, CONCAPAN 2019
Country/TerritoryGuatemala
CityGuatemala City
Period20/11/1922/11/19

Keywords

  • Matlab
  • circuit analysis
  • fractional derivative
  • numerical method
  • solver

ASJC Scopus subject areas

  • Artificial Intelligence
  • Industrial and Manufacturing Engineering
  • Process Chemistry and Technology
  • Computer Networks and Communications
  • Computer Science Applications
  • Energy Engineering and Power Technology
  • Renewable Energy, Sustainability and the Environment
  • Control and Optimization

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