Participation factors and sub-Gramians in the selective modal analysis of electric power systems
| Autor: | Natalya G. Kiryanova, Dmitry E. Kataev, Igor B. Yadykin, Andrey A. Grobovoy, Alexey B. Iskakov, Stanislav N. Vassilyev |
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| Rok vydání: | 2017 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Engineering business.industry 020209 energy Modal analysis 02 engineering and technology Hermitian matrix Stability (probability) symbols.namesake Electric power system 020901 industrial engineering & automation Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering symbols Pairwise comparison business Energy (signal processing) Eigenvalues and eigenvectors |
| Zdroj: | IFAC-PapersOnLine. 50:14806-14811 |
| ISSN: | 2405-8963 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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