Main navigation | Main content

HOME » PROGRAMS/ACTIVITIES » Annual Thematic Program

PROGRAMS/ACTIVITIES

Annual Thematic Program »Postdoctoral Fellowships »Hot Topics and Special »Public Lectures »New Directions »PI Programs »Math Modeling »Seminars »Be an Organizer »Annual »Hot Topics »PI Summer »PI Conference »Applying to Participate »

Talk Abstract

Simulation of the periodic and quasi-periodic solutions of nonlinear circuits

Simulation of the periodic and quasi-periodic solutions of nonlinear circuits

The talk will focus on algorithms for the computation of the steady-state response of nonlinear circuits excited by periodic and quasi-periodic signals. We first formulate the periodic steady-state problem in time and frequency domains, and describe the method of harmonic-balance, a frequency-domain algorithm. The harmonic-balance algorithm is rendered efficient and practical for large circuits by use of preconditioned, Krylov subspace-based iterative methods for solving the large and dense systems of linear equations which arise. Next, we address the computation of the quasi-periodic steady-state solution of circuits excited by several periodic stimuli of incommensurate frequencies. Here, we discuss a general formulation of the problem, from which we derive the frequency-domain solution method: multitone harmonic balance, and the mixed time-and-frequency domain method: envelope following. Again, these methods rely on the Krylov subspace-based iterative linear solvers.