New Value Set Approach for Robust Stability of Power Systems With Wind Power Penetration
A new value set approach is developed to examine the robust stability analysis of power systems, such as power systems with wind power penetration. The new approach has several advantages compared with our previous work. It also applies to the D-stability problem considering the damping ratio constr...
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| Veröffentlicht in: | IEEE transactions on sustainable energy 2019-04, Vol.10 (2), p.811-821 |
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| creator | Shi, Peng Jiang, Chongxi Gan, Deqiang Xin, Huanhai Jia, Lin Gao, Xun Xu, Ying Xie, Huan |
| description | A new value set approach is developed to examine the robust stability analysis of power systems, such as power systems with wind power penetration. The new approach has several advantages compared with our previous work. It also applies to the D-stability problem considering the damping ratio constraint for power system analysis. The well-known mapping theorem is applied to compute the value sets of det(I - M(s)Δ), which gives a sufficient condition for stability evaluation. To reduce the conservativeness of the mapping theorem, the multivariable stability margin Km, a necessary and sufficient condition, is calculated to evaluate the robust stability. It is shown that by inspection of the value sets of det(I - M(s)Δ), the impact of the uncertainties becomes transparent. The introduced results are tested on a classical 4-generator 11-bus test power system and a 547-machine 8647-bus model of the actual North China system. |
| doi_str_mv | 10.1109/TSTE.2018.2848703 |
| format | Article |
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The new approach has several advantages compared with our previous work. It also applies to the D-stability problem considering the damping ratio constraint for power system analysis. The well-known mapping theorem is applied to compute the value sets of det(I - M(s)Δ), which gives a sufficient condition for stability evaluation. To reduce the conservativeness of the mapping theorem, the multivariable stability margin Km, a necessary and sufficient condition, is calculated to evaluate the robust stability. It is shown that by inspection of the value sets of det(I - M(s)Δ), the impact of the uncertainties becomes transparent. 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(IEEE) 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c293t-810a225bd35243016f0716fc0c4d136c560f0c7ce520bd1801d1b5c199c231373</citedby><cites>FETCH-LOGICAL-c293t-810a225bd35243016f0716fc0c4d136c560f0c7ce520bd1801d1b5c199c231373</cites><orcidid>0000-0001-5327-1371 ; 0000-0001-7650-0878 ; 0000-0002-3830-7484 ; 0000-0001-5839-4952</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8387822$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8387822$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Shi, Peng</creatorcontrib><creatorcontrib>Jiang, Chongxi</creatorcontrib><creatorcontrib>Gan, Deqiang</creatorcontrib><creatorcontrib>Xin, Huanhai</creatorcontrib><creatorcontrib>Jia, Lin</creatorcontrib><creatorcontrib>Gao, Xun</creatorcontrib><creatorcontrib>Xu, Ying</creatorcontrib><creatorcontrib>Xie, Huan</creatorcontrib><title>New Value Set Approach for Robust Stability of Power Systems With Wind Power Penetration</title><title>IEEE transactions on sustainable energy</title><addtitle>TSTE</addtitle><description>A new value set approach is developed to examine the robust stability analysis of power systems, such as power systems with wind power penetration. The new approach has several advantages compared with our previous work. It also applies to the D-stability problem considering the damping ratio constraint for power system analysis. The well-known mapping theorem is applied to compute the value sets of det(I - M(s)Δ), which gives a sufficient condition for stability evaluation. To reduce the conservativeness of the mapping theorem, the multivariable stability margin Km, a necessary and sufficient condition, is calculated to evaluate the robust stability. It is shown that by inspection of the value sets of det(I - M(s)Δ), the impact of the uncertainties becomes transparent. 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The new approach has several advantages compared with our previous work. It also applies to the D-stability problem considering the damping ratio constraint for power system analysis. The well-known mapping theorem is applied to compute the value sets of det(I - M(s)Δ), which gives a sufficient condition for stability evaluation. To reduce the conservativeness of the mapping theorem, the multivariable stability margin Km, a necessary and sufficient condition, is calculated to evaluate the robust stability. It is shown that by inspection of the value sets of det(I - M(s)Δ), the impact of the uncertainties becomes transparent. The introduced results are tested on a classical 4-generator 11-bus test power system and a 547-machine 8647-bus model of the actual North China system.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/TSTE.2018.2848703</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0001-5327-1371</orcidid><orcidid>https://orcid.org/0000-0001-7650-0878</orcidid><orcidid>https://orcid.org/0000-0002-3830-7484</orcidid><orcidid>https://orcid.org/0000-0001-5839-4952</orcidid></addata></record> |
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| subjects | <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> text{K}_\text{m}</tex-math> </inline-formula> theory D-stability Damping ratio Inspection Mapping mapping theory Numerical stability Penetration Power system stability Renewable energy Robust stability Robust stability analysis Robustness Stability analysis Sufficient conditions Systems analysis Theorems value set Wind power Wind power generation wind power penetration |
| title | New Value Set Approach for Robust Stability of Power Systems With Wind Power Penetration |
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