On network models and the symbolic solution of network equations

• Autorzy: Kurt J. Reinschke
• 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; multidimensional networks; network equations; network graphs; admittance representation of multi-ports; modified nodal analysis

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 1
• Strony: 237-269

Daty

wydano

2001

otrzymano

2000-09-01

poprawiono

2001-01-01

Twórcy

autor

Kurt J. Reinschke

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

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