Title :
An approach to all modes of nonlinear oscillations in three-phase circuits by computer algebra system
Author :
Okumura, Katsuhiro
Author_Institution :
IRMACS Centre, Simon Fraser Univ., Burnaby, BC, Canada
Abstract :
This paper describes an approach to all modes of subharmonic oscillation in nonlinear three-phase series resonance circuits. Using the computer algebra system, we derive the fundamental equations which become either autonomous or nonautonomous system owing to the degree of polynomials that approximate the magnetic characteristic of nonlinear inductors.
Keywords :
asymptotic stability; circuit resonance; inductors; oscillations; polynomials; process algebra; resonance; Krawczyk-Moore-Jones algorithm; Krylov Bogoliubov Mitropolsky asymptotic method; asymptotic stability; autonomous system; computer algebra system; degree of polynomials; determining equation; fundamental equations; interval mathematics; multimodes systems; nonautonomous system; nonlinear inductors magnetic characteristic; nonlinear oscillations; nonlinear three-phase series resonance circuits; power systems; subharmonic oscillation; subharmonic oscillations; three-phase circuits; DVD; Integrated circuits; Oscillators;
Conference_Titel :
Circuits and Systems (APCCAS), 2012 IEEE Asia Pacific Conference on
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-4577-1728-4
DOI :
10.1109/APCCAS.2012.6419005
