Solvability of network with nonlinear resistors

Author

Nakajima, Hiromasa ; Miyoshi, Takanori ; Inaba, Nobuyuki

Author_Institution

Fac. of Eng., Utsunomiya Univ.

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

33

Abstract

In the present study, we analyze the solvability of networks which comprise multi-terminal nonlinear resistor elements, electric sources and a linear LCR circuit. The condition for unique time evolution of the network irrespective of the initial state is obtained in terms of connectivity with respect to specific elements of the linear LCR circuit. Nonlinear resistor elements have N (N⩾2) terminals. The terminal currents are given by single-valued functions of the terminal voltages in case of voltage-controlled nonlinear resistors. The terminal voltages are given by single-valued functions of the terminal currents in case of current controlled ones

Keywords

computability; nonlinear network analysis; connectivity; current controlled nonlinear resistors; electric sources; linear LCR circuit; multiterminal resistor elements; network solvability; nonlinear resistors; single-valued functions; terminal currents; terminal voltages; voltage-controlled nonlinear resistors; Capacitors; Chromium; Ear; Inductors; Linear circuits; Nonlinear dynamical systems; Nonlinear equations; Resistors; Vectors; Voltage control;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921239

Filename

921239