Topological interpretation of the inverse connection matrix A.sb

✍ Scribed by Pasquale Pugliese; Francesco Vacca

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 501 KB
• Volume: 302
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(76)90046-6

✦ Synopsis

existing between a system of independent cut sets and the corresponding system of independent "contours", in the sense of orthogonal network theory (1).

The new model allows, by a redefinition of f-cut sets, to give an interpretation in terms of linear graph theory to the inverse connection matrix AZ, i.e. to the transformation matrix between voltages in the orthogonal and the primitive reference frames, for a general choice of independent contours. Furthermore, a directly algebraic derivation of the voltage transformation is presented,

recalling the properties of dual vector spaces and without invoking the principle of invariance of the instantaneous power.