Analysis of linear networks with inconsistent initial conditions

Author

Tolsa, Javier ; Salichs, Miquel

Author_Institution

Dept. d´´Eng. Electr., Univ. Politecnica de Catalunya, Barcelona, Spain

Volume

40

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

885

Lastpage

894

Abstract

The authors present a new method for analyzing time-invariant linear networks that allows for the existence of inconsistent initial conditions. Their method is based on the use of distributions and state equations. Any time-invariant linear network, including networks involving any kinds of pure or controlled sources, can be analyzed. Also, the transferences of energy that occur at t=0 are determined, and the concept of connection energy is introduced. The algorithms are easily implemented in a computer program

Keywords

circuit analysis computing; initial value problems; linear network analysis; matrix algebra; network topology; time-domain analysis; algorithms; computer program; connection energy; distribution multiplication; energy transfer; inconsistent initial conditions; matrix transformations; network topology; state equations; time-domain analysis; time-invariant linear networks; Circuits; Differential equations; Inductors; Kirchhoff´s Law; Laplace equations; Network topology; Resistors; Switched capacitor networks; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.269029

Filename

269029