DocumentCode
3269027
Title
Approximation of the Telegrapher´s equations
Author
Golo, G. ; Talasila, V. ; Van der Schaft, A.J.
Author_Institution
Fac. of Math. Sci., Twente Univ., Enschede, Netherlands
Volume
4
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
4587
Abstract
The problem of approximating a distributed parameter system with free boundary conditions is solved for the 1-dimensional Telegrapher´s equations. The Telegrapher´s equations are described using an infinite-dimensional port-Hamiltonian model, and we derive a finite dimensional port-Hamiltonian model using a mixed finite-element procedure. We show that energy conservation, passivity and some dynamic invariants are preserved in the discretization.
Keywords
approximation theory; distributed parameter systems; finite element analysis; 1 dimensional Telegrapher equation; approximation; discretization; distributed parameter system; dynamic invariants; energy conservation; free boundary conditions; infinite dimensional port Hamiltonian model; mixed finite element procedure; passivity; Bonding; Boundary conditions; Control systems; Energy conservation; Equations; Finite element methods; Mechatronics; Power system interconnection; Power system modeling; Power transmission lines;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1185099
Filename
1185099
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