Title :
Periodic waveform relaxation of nonlinear dynamic systems by quasi-linearization
Author :
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
Author_Institution :
Sch. of Sci., Xi´´an Jiaotong Univ., China
fDate :
4/1/2003 12:00:00 AM
Abstract :
In this brief, we provide an algorithm to treat periodic problems of nonlinear dynamic systems. Our approach is to apply quasi-linearization and waveform relaxation to a system of equations so as to produce a series of linear time-varying systems with periodicity constraints. We prove convergence of the algorithm and apply it to solutions of forced van der Pol equations as a further illustration.
Keywords :
Newton method; circuit simulation; convergence of numerical methods; linearisation techniques; nonlinear dynamical systems; nonlinear network analysis; time-varying systems; waveform analysis; Newton iterations; RF circuit simulation; convergence; forced van der Pol equations; large nonlinear circuits; linear time-varying systems; nonlinear dynamic systems; periodic problems; periodic waveform relaxation; periodicity constraints; quasi-linearization; Circuit simulation; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Power engineering and energy; Power system analysis computing; Power system dynamics; Radio frequency; Steady-state; Time varying systems;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.809817
