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2012 | OriginalPaper | Chapter
Robust Periodic Steady State Analysis of Autonomous Oscillators Based on Generalized Eigenvalues
Authors : R. Mirzavand Boroujeni, E. J. W. ter Maten, T. G. J Beelen, W. H. A. Schilders, A. Abdipour
Published in: Scientific Computing in Electrical Engineering SCEE 2010
Publisher: Springer Berlin Heidelberg
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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.