DocumentCode
1558651
Title
The differentiation of functions of conjugate complex variables: application to power network analysis
Author
GonzÁlez-vÁzquez, Francisco J.
Author_Institution
Dept. of Electr. Eng., Escuela Superior de Ingenieros Industriales, Seville, Spain
Volume
31
Issue
4
fYear
1988
fDate
11/1/1988 12:00:00 AM
Firstpage
286
Lastpage
291
Abstract
The mathematical foundations of the rules used to differentiate functions of conjugate complex variables are examined and their use is illustrated with several power network analysis examples. Using conjugate complex notation in power network analysis, it is possible to obtain directly the real Jacobian matrix of the power-flow equations. The author introduces the concept of bicomplex Jacobian matrix and states the rules to invert it. The expressions which are above often permit an immediate physical interpretation
Keywords
differentiation; transmission networks; bicomplex Jacobian matrix; conjugate complex variables; power network analysis; power-flow equations; Circuit analysis; Closed-form solution; Communication switching; Harmonic analysis; Harmonic distortion; Impedance; Jacobian matrices; MOSFET circuits; Propagation losses; Signal analysis;
fLanguage
English
Journal_Title
Education, IEEE Transactions on
Publisher
ieee
ISSN
0018-9359
Type
jour
DOI
10.1109/13.9757
Filename
9757
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