Title :
The validity of Kirchhoff´s laws for a class of nonlinear transfinite networks
Author_Institution :
Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA
fDate :
7/1/1993 12:00:00 AM
Abstract :
Kirchhoff´s laws hold only sometimes in transfinite networks. For nonlinear networks, there are presently just a few preliminary results regarding when they do hold. This work establishes more explicit and broader conditions for their validity in nonlinear transfinite networks. It also presents a fundamental theorem for the existence and uniqueness of the voltage-current regime in such a network. This theorem is dual to the one currently extant
Keywords :
graph theory; nonlinear network analysis; Kirchhoff´s laws; nonlinear transfinite networks; voltage-current regime; Circuits; Current-voltage characteristics; Electric resistance; Nonlinear equations; Voltage;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
