Assessing eigenvalue sensitivities [power system control simulation]
The motivation for this paper is the fact that in practice, the parameters of a power system are only approximately known. The paper discusses the sensitivity of eigenvalues in terms of state matrix entry changes (model uncertainty) and parameter changes (parameter uncertainty). The concepts of asym...
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| Veröffentlicht in: | IEEE transactions on power systems 2000-02, Vol.15 (1), p.299-306 |
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| container_title | IEEE transactions on power systems |
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| creator | Souza Lima, E.E. De Jesus Fernandes, L.F. |
| description | The motivation for this paper is the fact that in practice, the parameters of a power system are only approximately known. The paper discusses the sensitivity of eigenvalues in terms of state matrix entry changes (model uncertainty) and parameter changes (parameter uncertainty). The concepts of asymptotic stability robustness for model and parameter uncertainty are presented. Two indexes derived from eigenvalue sensitivity matrices are suggested to measure eigenvalue sensitivity and asymptotic small-signal stability robustness. As an example, the sensitivities of the electromechanical modes of a 9-machine system are analyzed. The results show lack of asymptotic stability robustness for both model and parameter uncertainties. The paper shows that lack of asymptotic stability robustness is a trend of actual multimachine power systems because too small stability margins and large eigenvalue sensitivities occur simultaneously. |
| doi_str_mv | 10.1109/59.852136 |
| format | Article |
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The paper discusses the sensitivity of eigenvalues in terms of state matrix entry changes (model uncertainty) and parameter changes (parameter uncertainty). The concepts of asymptotic stability robustness for model and parameter uncertainty are presented. Two indexes derived from eigenvalue sensitivity matrices are suggested to measure eigenvalue sensitivity and asymptotic small-signal stability robustness. As an example, the sensitivities of the electromechanical modes of a 9-machine system are analyzed. The results show lack of asymptotic stability robustness for both model and parameter uncertainties. The paper shows that lack of asymptotic stability robustness is a trend of actual multimachine power systems because too small stability margins and large eigenvalue sensitivities occur simultaneously.</description><subject>Asymptotic stability</subject><subject>Differential equations</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Modal analysis</subject><subject>Power system analysis computing</subject><subject>Power system modeling</subject><subject>Power system stability</subject><subject>Robust stability</subject><subject>Stability analysis</subject><subject>Uncertain systems</subject><issn>0885-8950</issn><issn>1558-0679</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE1Lw0AQhhdRsFYPXj0FD4KH1Nkkm-weS_2Eghc9iSybZFK2JNm6k1T6711p8eBhmMP7MPPyMHbJYcY5qDuhZlIkPM2P2IQLIWPIC3XMJiCliKUScMrOiNYAkIdgwu7nREhk-1WEdoX91rQjRoQ92cFuwyBFHxv3jT6iHQ3YRZXrB-_aiGw3tmawrv88ZyeNaQkvDnvK3h8f3hbP8fL16WUxX8ZVCtkQp0Jgapo8z2uFFZZNWpdlnqDMVFFwnoXeZVmE-hJU0TRVDZBlnNemqbGqjUyn7GZ_d-Pd14g06M5ShW1renQj6aQoIJFKBfD6H7h2o-9DNx08AIjwMEC3e6jyjshjozfedsbvNAf9K1MLpfcyA3u1Zy0i_nGH8AcUhHAH</recordid><startdate>20000201</startdate><enddate>20000201</enddate><creator>Souza Lima, E.E.</creator><creator>De Jesus Fernandes, L.F.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Asymptotic stability Differential equations Eigenvalues and eigenfunctions Modal analysis Power system analysis computing Power system modeling Power system stability Robust stability Stability analysis Uncertain systems |
| title | Assessing eigenvalue sensitivities [power system control simulation] |
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