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Participation factors and sub-Gramians in the selective modal analysis of electric power systems. / Vassilyev, Stanislav N.; Yadykin, Igor B.; Iskakov, Alexey B. et al.

In: Ifac papersonline, Vol. 50, No. 1, 07.2017, p. 14806-14811.

Research output: Contribution to journal › Article › peer-review

Harvard

Vassilyev, SN, Yadykin, IB, Iskakov, AB, Kataev, DE, Grobovoy, AA & Kiryanova, NG 2017, 'Participation factors and sub-Gramians in the selective modal analysis of electric power systems', Ifac papersonline, vol. 50, no. 1, pp. 14806-14811. https://doi.org/10.1016/j.ifacol.2017.08.2560

APA

Vassilyev, S. N., Yadykin, I. B., Iskakov, A. B., Kataev, D. E., Grobovoy, A. A., & Kiryanova, N. G. (2017). Participation factors and sub-Gramians in the selective modal analysis of electric power systems. Ifac papersonline, 50(1), 14806-14811. https://doi.org/10.1016/j.ifacol.2017.08.2560

Vancouver

Vassilyev SN, Yadykin IB, Iskakov AB, Kataev DE, Grobovoy AA, Kiryanova NG. Participation factors and sub-Gramians in the selective modal analysis of electric power systems. Ifac papersonline. 2017 Jul;50(1):14806-14811. doi: 10.1016/j.ifacol.2017.08.2560

Author

Vassilyev, Stanislav N. ; Yadykin, Igor B. ; Iskakov, Alexey B. et al. / Participation factors and sub-Gramians in the selective modal analysis of electric power systems. In: Ifac papersonline. 2017 ; Vol. 50, No. 1. pp. 14806-14811.

BibTeX

@article{2da5d1dbe2fe4599b0c40b2244ec4be1,
title = "Participation factors and sub-Gramians in the selective modal analysis of electric power systems",
abstract = "The solution of Lyapunov equations can be represented as a sum of Hermitian matrices corresponding either to particular eigenvalues of the system matrix, or to pairwise combinations of these eigenvalues. These eigen-parts or sub-Gramians proved to be useful for the stability analysis of electric power systems. In this paper we compare and contrast the sub-Gramians and participation factors as applied to the power system state estimation. Using the sub-Gramian approach we introduce the energy participation factor as a new indicator for selective modal analysis. For a stable system it characterizes the participation of i-th mode and initial k-th state in the integrated energy produced in k-th state. We explain the conceptual meaning and practical usefulness of energy participation factors and contrast them with the conventional participation factors in a selective modal analysis of the IEEE 57-bus test model.",
keywords = "electric power systems, Energy Participation Factors, Participation Factors, Selective modal analysis, small-signal stability analysis, sub-Gramians",
author = "Vassilyev, {Stanislav N.} and Yadykin, {Igor B.} and Iskakov, {Alexey B.} and Kataev, {Dmitry E.} and Grobovoy, {Andrey A.} and Kiryanova, {Natalya G.}",
note = "Funding Information: This work was supported by the Research Program Contract between ICS and Skoltech No.1071 – MRA dated July 1, 2015, and by the research project No. 17-08-01107-a of the Russian Foundation for Basic Research (RFBR). Publisher Copyright: {\textcopyright} 2017",
year = "2017",
month = jul,
doi = "10.1016/j.ifacol.2017.08.2560",
language = "English",
volume = "50",
pages = "14806--14811",
journal = "Ifac papersonline",
issn = "2405-8963",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Participation factors and sub-Gramians in the selective modal analysis of electric power systems

AU - Vassilyev, Stanislav N.

AU - Yadykin, Igor B.

AU - Iskakov, Alexey B.

AU - Kataev, Dmitry E.

AU - Grobovoy, Andrey A.

AU - Kiryanova, Natalya G.

N1 - Funding Information: This work was supported by the Research Program Contract between ICS and Skoltech No.1071 – MRA dated July 1, 2015, and by the research project No. 17-08-01107-a of the Russian Foundation for Basic Research (RFBR). Publisher Copyright: © 2017

PY - 2017/7

Y1 - 2017/7

N2 - The solution of Lyapunov equations can be represented as a sum of Hermitian matrices corresponding either to particular eigenvalues of the system matrix, or to pairwise combinations of these eigenvalues. These eigen-parts or sub-Gramians proved to be useful for the stability analysis of electric power systems. In this paper we compare and contrast the sub-Gramians and participation factors as applied to the power system state estimation. Using the sub-Gramian approach we introduce the energy participation factor as a new indicator for selective modal analysis. For a stable system it characterizes the participation of i-th mode and initial k-th state in the integrated energy produced in k-th state. We explain the conceptual meaning and practical usefulness of energy participation factors and contrast them with the conventional participation factors in a selective modal analysis of the IEEE 57-bus test model.

AB - The solution of Lyapunov equations can be represented as a sum of Hermitian matrices corresponding either to particular eigenvalues of the system matrix, or to pairwise combinations of these eigenvalues. These eigen-parts or sub-Gramians proved to be useful for the stability analysis of electric power systems. In this paper we compare and contrast the sub-Gramians and participation factors as applied to the power system state estimation. Using the sub-Gramian approach we introduce the energy participation factor as a new indicator for selective modal analysis. For a stable system it characterizes the participation of i-th mode and initial k-th state in the integrated energy produced in k-th state. We explain the conceptual meaning and practical usefulness of energy participation factors and contrast them with the conventional participation factors in a selective modal analysis of the IEEE 57-bus test model.

KW - electric power systems

KW - Energy Participation Factors

KW - Participation Factors

KW - Selective modal analysis

KW - small-signal stability analysis

KW - sub-Gramians

UR - http://www.scopus.com/inward/record.url?scp=85044288294&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.2560

DO - 10.1016/j.ifacol.2017.08.2560

M3 - Article

AN - SCOPUS:85044288294

VL - 50

SP - 14806

EP - 14811

JO - Ifac papersonline

JF - Ifac papersonline

SN - 2405-8963

IS - 1

ER -

ID: 41374394