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.
|Place of Publication||Eindhoven|
|Publisher||Technische Universiteit Eindhoven|
|Number of pages||8|
|Publication status||Published - 2011|
Mirzavand, R., Maten, ter, E. J. W., Beelen, T. G. J., Schilders, W. H. A., & Abdipour, A. (2011). Robust periodic steady state analysis of autonomous oscillators based on generalized eigenvalues. (CASA-report; Vol. 1112). Technische Universiteit Eindhoven.