The Generalization of the Extra Element Theorem for Symbolic Circuit Tolerance Analysis

A new method of the symbolic circuit tolerance analysis has been proposed. The approach is based on Middlebrook's extra element theorem and the generalized parameter extraction method. It does not need the matrix network description or presentation as algebraic sets or topological graphs. The proposed techniques have been realized in the computer program (Toleralize). To verify the theoretical analysis, computer simulation results are included.

[1]  Vladimir Filaretov,et al.  Generalized Parameter Extraction Method in Symbolic Network Analysis , 2003 .

[2]  W. Feussner Ueber Stromverzweigung in netzförmigen Leitern , .

[3]  Reza Hashemian,et al.  Symbolic representation of network transfer functions using norator-nullator pairs , 1977 .

[4]  V. Filaretov,et al.  Transconductance realization of block-diagrams of electronic networks , 2008, 2008 International Conference on Signals and Electronic Systems.

[5]  R. D. Middlebrook,et al.  The N Extra Element Theorem , 1998 .

[6]  B. D. H. Tellegen La recherche pour una série compléte d’éléments de circuit ideaux non-linéaires , 1955 .

[7]  R. D. Middlebrook,et al.  Null double injection and the extra element theorem , 1989 .

[8]  W. Feussner Zur Berechnung der Stromstärke in netzförmigen Leitern , .

[9]  M.L. Liou,et al.  Computer-aided analysis of electronic circuits: Algorithms and computational techniques , 1977, Proceedings of the IEEE.

[10]  Kritische Beiträge zur atmosphärischen Electrometrie , 1803 .

[11]  Leon O. Chua,et al.  Computer-Aided Analysis Of Electronic Circuits , 1975 .

[12]  G. Brayshaw Topological Analysis of Networks Containing Nullators and Norators , 1969 .

[13]  C. K. Michael Tse,et al.  Implementing extra element theorem using nullor approach , 1999, Int. J. Circuit Theory Appl..

[14]  Raj Senani,et al.  Bibliography on Nullors and Their Applications in Circuit Analysis, Synthesis and Design , 2002 .

[15]  Vatché Vorpérian Fast analytical techniques for electrical and electronic circuits , 2002 .