Constructing Lyapunov Function for Power System Including Induction Machine Dynamic Characteristics
This paper presents a systematic procedure of constructing a Lyapunov function for power system considering with induction machine dynamics characteristics by the state function method. Constructing Lyapunov function for power systems with induction machines is very difficult problem and is hoped fo...
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| Veröffentlicht in: | Denki Gakkai ronbunshi. B, Enerugi, denki kiki, denryoku 2003, Vol.123(8), pp.974-980 |
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| container_title | Denki Gakkai ronbunshi. B, Enerugi, denki kiki, denryoku |
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| creator | Ishigame, Atsushi Taniguchi, Tsuneo |
| description | This paper presents a systematic procedure of constructing a Lyapunov function for power system considering with induction machine dynamics characteristics by the state function method. Constructing Lyapunov function for power systems with induction machines is very difficult problem and is hoped for being settled for a long time. In the composition process of the proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed in the swing equation of power systems. As a result, the dynamic characteristic of an induction machine becomes equivalent to a synchronous machine with a voltage adjustment mechanism to which a dissipation function is added. Using this proposed system description, the Lyapunov function is composed by the state function method, which is based on an expanded energy function, under the condition of some approximations. The effectiveness of the proposed Lyapunov function is verified numerically for multi-machine power systems with induction machine loads. |
| doi_str_mv | 10.1541/ieejpes.123.974 |
| format | Article |
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Constructing Lyapunov function for power systems with induction machines is very difficult problem and is hoped for being settled for a long time. In the composition process of the proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed in the swing equation of power systems. As a result, the dynamic characteristic of an induction machine becomes equivalent to a synchronous machine with a voltage adjustment mechanism to which a dissipation function is added. Using this proposed system description, the Lyapunov function is composed by the state function method, which is based on an expanded energy function, under the condition of some approximations. The effectiveness of the proposed Lyapunov function is verified numerically for multi-machine power systems with induction machine loads.</description><identifier>ISSN: 0385-4213</identifier><identifier>EISSN: 1348-8147</identifier><identifier>DOI: 10.1541/ieejpes.123.974</identifier><language>eng</language><publisher>Tokyo: The Institute of Electrical Engineers of Japan</publisher><subject>induction machine ; Lyapunov function ; power system ; slip dynamic characteristic ; state function method ; transient stability analysis</subject><ispartof>IEEJ Transactions on Power and Energy, 2003, Vol.123(8), pp.974-980</ispartof><rights>2003 by the Institute of Electrical Engineers of Japan</rights><rights>Copyright Japan Science and Technology Agency 2003</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2874-2cc4121f5f0c307c1a7dd7c6259b687bfe76f4963541157817d15a11c286d1a03</citedby><cites>FETCH-LOGICAL-c2874-2cc4121f5f0c307c1a7dd7c6259b687bfe76f4963541157817d15a11c286d1a03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><creatorcontrib>Ishigame, Atsushi</creatorcontrib><creatorcontrib>Taniguchi, Tsuneo</creatorcontrib><title>Constructing Lyapunov Function for Power System Including Induction Machine Dynamic Characteristics</title><title>Denki Gakkai ronbunshi. 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The effectiveness of the proposed Lyapunov function is verified numerically for multi-machine power systems with induction machine loads.</description><subject>induction machine</subject><subject>Lyapunov function</subject><subject>power system</subject><subject>slip dynamic characteristic</subject><subject>state function method</subject><subject>transient stability analysis</subject><issn>0385-4213</issn><issn>1348-8147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNpVkEFLwzAYhoMoOObOXgOeu-Vr0iY9St10MFFQzyFL0y1jS2vSKv33ZmwMvHyBL8-b8D4I3QOZQsZgZo3ZtSZMIaXTgrMrNALKRCKA8Ws0IlRkCUuB3qJJCHZNSFYQEFk-QrpsXOh8rzvrNng1qLZ3zQ9e9C5uGofrxuP35td4_DGEzhzw0ul9Xx3hpav6E_Sq9NY6g58Gpw5W43KrvNKd8TZ0Voc7dFOrfTCT8zlGX4v5Z_mSrN6el-XjKtGp4CxJtWaQQp3VRFPCNSheVVznaVasc8HXteF5zYqcxsKQcQG8gkwBxHRegSJ0jB5O77a--e5N6OSu6b2LX0pglAqWF6SI1OxEad-E4E0tW28Pyg8SiDzKlGeZMsqUUWZMzE-JXejUxlx45WO7vfnHi_OMucu9jjqkcfQP37OC1Q</recordid><startdate>2003</startdate><enddate>2003</enddate><creator>Ishigame, Atsushi</creator><creator>Taniguchi, Tsuneo</creator><general>The Institute of Electrical Engineers of Japan</general><general>Japan Science and Technology Agency</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>2003</creationdate><title>Constructing Lyapunov Function for Power System Including Induction Machine Dynamic Characteristics</title><author>Ishigame, Atsushi ; Taniguchi, Tsuneo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2874-2cc4121f5f0c307c1a7dd7c6259b687bfe76f4963541157817d15a11c286d1a03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>induction machine</topic><topic>Lyapunov function</topic><topic>power system</topic><topic>slip dynamic characteristic</topic><topic>state function method</topic><topic>transient stability analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Ishigame, Atsushi</creatorcontrib><creatorcontrib>Taniguchi, Tsuneo</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Denki Gakkai ronbunshi. 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Constructing Lyapunov function for power systems with induction machines is very difficult problem and is hoped for being settled for a long time. In the composition process of the proposed Lyapunov function, the slipping dynamic characteristic of the induction machine is implicitly expressed in the swing equation of power systems. As a result, the dynamic characteristic of an induction machine becomes equivalent to a synchronous machine with a voltage adjustment mechanism to which a dissipation function is added. Using this proposed system description, the Lyapunov function is composed by the state function method, which is based on an expanded energy function, under the condition of some approximations. 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| ispartof | IEEJ Transactions on Power and Energy, 2003, Vol.123(8), pp.974-980 |
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| language | eng |
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| source | EZB-FREE-00999 freely available EZB journals |
| subjects | induction machine Lyapunov function power system slip dynamic characteristic state function method transient stability analysis |
| title | Constructing Lyapunov Function for Power System Including Induction Machine Dynamic Characteristics |
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