Robust periodic steady state analysis of autonomous oscillators based on generalized eigenvalues

R. Mirzavand, E.J.W. Maten, ter, T.G.J. Beelen, W.H.A. Schilders, A. Abdipour

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

2 Downloads (Pure)


In this paper, we present a new gauge technique for the Newton Raphson method to solve the periodic steady state (PSS) analysis of free-running oscillators in the time domain. To find the frequency a new equation is added to the system of equations. Our equation combines a generalized eigenvector with the time derivative of the solution. It is dynamically updated within each Newton–Raphson iteration. The method is applied to an analytic benchmark problem and to an LC oscillator. It provides better convergence properties than when using the popular phase-shift condition. It also does not need additional information about the solution. The method can also easily be implemented within the Harmonic Balance framework.
Original languageEnglish
Title of host publicationProceedings of the 8th Conference on Scientific Computing in Electrical Engineering (SCEE 2010), 19-24 September 2012, Toulouse, France
EditorsB. Michielsen, J.R. Poirier
Place of PublicationBerlin
ISBN (Print)978-3-642-22452-2
Publication statusPublished - 2012
Eventconference; SCEE 2010; 2010-09-19; 2010-09-24 -
Duration: 19 Sep 201024 Sep 2010

Publication series

NameMathematics in Industry
ISSN (Print)1612-3956


Conferenceconference; SCEE 2010; 2010-09-19; 2010-09-24
OtherSCEE 2010


Dive into the research topics of 'Robust periodic steady state analysis of autonomous oscillators based on generalized eigenvalues'. Together they form a unique fingerprint.

Cite this