Title :
Waveform relaxation operator and its spectra in circuit simulation under periodic excitation
Author :
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
Author_Institution :
Sch. of Sci., Xi´´an Jiaotong Univ., China
Abstract :
In this paper we present an expression of the spectra and pseudospectra of the waveform relaxation operator in the solution of the steady state response of linear circuits under periodic excitation. We show that the convergence of a relaxation-based algorithm can be safeguarded if the maximum value of the spectral radii for a series of matrices derived from the system is less than one. A numerical example is provided to show the spectra and pseudospectra of an iterative scheme applied to a linear circuit under periodic excitation
Keywords :
circuit simulation; convergence of numerical methods; integro-differential equations; iterative methods; linear network analysis; mathematical operators; matrix algebra; PWR algorithm; circuit simulation; convergence; integral-differential algebraic equation; iterative method; linear circuit; matrix algebra; numerical method; periodic excitation; pseudospectral set; spectral radius; spectral set; steady-state response; waveform relaxation operator; Application specific integrated circuits; Circuit simulation; Convergence; Integral equations; Iterative algorithms; Laboratories; Linear circuits; Power system dynamics; Radio frequency; Steady-state;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Conference_Location :
Phoenix-Scottsdale, AZ
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010965
