On Network Models and the Symbolic Solution of Network Equations

• Autorzy: Reinschke K. J.
• Języki publikacji: EN

Abstrakty

EN

This paper gives an overview of the formulation and solution of network equations, with emphasis on the historical development of this area. Networks are mathematical models. The three ingredients of network descriptions are discussed. It is shown how the network equations of one-dimensional multi-port networks can be formulated and solved symbolically. If necessary, the network graph is modified so as to obtain an admittance representation for all kinds of multi-ports. N-dimensional networks are defined as graphs with the algebraic structure of N-dimensional vectors. In civil engineering, framed structures in two and three spatial dimensions can be modeled as 3-dimensional or 6-dimensional networks. The separation of geometry from topology is a characteristic feature of such networks.

Słowa kluczowe

EN

history of network theory; network graphs; network equations; modified nodal analysis; admittance representation of multi-ports; multidimensional networks

PL

sieć wielowymiarowa; teoria grafów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 1
• Strony: 237--269
• Opis fizyczny: Bibliogr. 43 poz., rys.

Twórcy

autor

Reinschke K. J.

• Institut fur Regelungs- und Steuerungstheorie Technische Universitat Dresden Mommsenstr. 13, D-01062 Dresden, Germany,