DocumentCode :
1100736
Title :
On Passivity Tests for Unsymmetrical Models
Author :
Gustavsen, Bjørn ; Semlyen, Adam
Author_Institution :
SINTEF Energy Res., Trondheim
Volume :
24
Issue :
3
fYear :
2009
fDate :
7/1/2009 12:00:00 AM
Firstpage :
1739
Lastpage :
1741
Abstract :
Rational models (not including explicit sources as in the case of generators) must be passive in order to guarantee stable simulations. Passivity tests for use with perturbation-type passivity enforcement methods are usually based on frequency sweeping or calculation of the eigenvalues of a Hamiltonian matrix derived from the model´s parameters. Recently, half-size test matrices have been derived which reduce the computation time of eigenvalues by a factor of about eight. In this paper, we elaborate on the passivity assessment for unsymmetrical models. We show that the half-size test matrix approach is valid only for the symmetrical case, while the full-size Hamiltonian must be used for unsymmetrical models.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; underground cables; Hamiltonian matrix; eigenvalue; frequency sweeping; perturbation-type passivity enforcement method; rational model; underground cable; unsymmetrical model; Admittance; Computational modeling; Eigenvalues and eigenfunctions; Equations; Frequency; State-space methods; Symmetric matrices; Testing; Voltage; Passivity assessment; passivity enforcement; pole-residue model; rational model; state-space model;
fLanguage :
English
Journal_Title :
Power Delivery, IEEE Transactions on
Publisher :
ieee
ISSN :
0885-8977
Type :
jour
DOI :
10.1109/TPWRD.2009.2016611
Filename :
5109847
Link To Document :
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