A new approach to steady state analysis of nonlinear electrical circuits. Issue 3 (2nd May 2017)

• Record Type: Journal Article
• Authors: Sobczyk, Tadeusz; Radzik, Michał
• Is Part Of: Compel. Volume 36:Issue 3(2017)
• Page Start: 716
• Page End: 728
• Publication Date: 2017-05-02
• Subjects: Analysis in time domain -- Discrete differential operator -- Electrical circuit -- Iterative algorithms -- Periodic solutions -- Steady-state analysis; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-09-2016-0387
• Languages: English
• ISSNs: 0332-1649

Abstract

Abstract : Purpose: The purpose of this study is to identify a novel methodology for direct calculation of steady-state periodic solutions for electrical circuits described by nonlinear differential equations, in the time domain. Design/methodology/approach: An iterative algorithm was created to determine periodic steady-state solutions for circuits with nonlinear elements in a chosen set of time instants. Findings: This study found a novel differential operator for periodic functions and its application in the steady-state analysis. Research limitations/implications: This approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems. Practical implications: The complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach. Originality/value: This study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.