Cristin-resultat-ID: 1850023
Sist endret: 19. november 2020, 15:30
NVI-rapporteringsår: 2020
Resultat
Vitenskapelig artikkel
2020

Dominant Modes Identification of Linear Systems via Geometrical Search

Bidragsytere:
  • Adam Semlyen
  • Abner Ramirez
  • Bjørn Gustavsen og
  • Reza Iravani

Tidsskrift

IEEE Transactions on Power Delivery
ISSN 0885-8977
e-ISSN 1937-4208
NVI-nivå 2

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2020
Publisert online: 2020

Beskrivelse Beskrivelse

Tittel

Dominant Modes Identification of Linear Systems via Geometrical Search

Sammendrag

This paper presents a novel approach, based on the theory of hyperplanes, for mode identification of linear systems. The proposed approach can operate on either a set of ordinary differential equations (converted to diagonal form, if needed) or a set of partial fractions derived from a synthesized transfer function of the system under analysis. For either format, the linear system is structured to have as unknown variable a vector containing the residues. Singular value decomposition is initially used to identify an initial sparsity of the residue vector where the number of nonzero values corresponds to the pre-defined order of the dominant poles (eigenvalues) under search. An algorithm based on geometrical search of hyperplanes is used to optimize the selection of the nonzero residue locations, minimizing the residual of the zero residue hyperplanes. Finally, a recalculation of the residues is carried out by using the obtained optimal sparsity.

Bidragsytere

Adam Semlyen

  • Tilknyttet:
    Forfatter
    ved University of Toronto

Abner Ramirez

  • Tilknyttet:
    Forfatter
    ved Mexico

Bjørn Gustavsen

  • Tilknyttet:
    Forfatter
    ved Energisystemer ved SINTEF Energi AS

Reza Iravani

  • Tilknyttet:
    Forfatter
    ved University of Toronto
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