The index of the standard circuit equations of passive RLCTG-networks does not exceed 2

Author

Reissig, Gunther

Author_Institution

Fak. Elektrotech., Tech. Univ. Dresden, Germany

Volume

3

fYear

1998

Firstpage

419

Abstract

Linear and nonlinear networks composed of independent sources, resistive, capacitive and inductive subnetworks, as well as ideal transformers and gyrators (RLCTG-networks) are investigated. Branches may be arbitrarily coupled within the resistive, capacitive and inductive subnetworks and these subnetworks may be non-reciprocal. It is shown that the tractability index of the standard circuit equations of such networks does not exceed 2, provided that the resistance, capacitance, and inductance matrices of the subnetworks are positive definite

Keywords

linear network analysis; lumped parameter networks; matrix algebra; nonlinear network analysis; passive networks; capacitive subnetworks; gyrators; ideal transformers; independent sources; inductive subnetworks; linear networks; nonlinear networks; passive RLCTG networks; positive definite matrices; resistive subnetworks; standard circuit equations index; tractability index; Capacitance; Capacitors; Coupling circuits; Differential equations; Gyrators; Inductance; Nonlinear equations; RLC circuits; Resistors; Transformers;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on

Conference_Location

Monterey, CA

Print_ISBN

0-7803-4455-3

Type

conf

DOI

10.1109/ISCAS.1998.704039

Filename

704039