Matrix approach to steady-state analysis of invertor-fed induction motors

1970 ◽  
Vol 6 (14) ◽  
pp. 451 ◽  
Author(s):  
W. Charlton
Author(s):  
Tadeusz Sobczyk ◽  
Michał Radzik

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.


2011 ◽  
Vol 118 (7) ◽  
pp. 1003-1019 ◽  
Author(s):  
Rona R. Ramsay ◽  
Aldo Olivieri ◽  
Andrew Holt

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