Title :
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
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;
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
DOI :
10.1109/ISCAS.1998.704039
