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Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow
An intrusive spectral method of probabilistic load flow (PLF) is proposed in the paper, which can handle the uncertainties arising from renewable energy integration. Generalized polynomial chaos (gPC) expansions of dependent random variables are utilized to build a spectral stochastic representation...
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| Published in: | Energies (Basel) 2016-03, Vol.9 (3), p.153-153 |
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| Main Authors: | , , , |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c424t-3e1cb87940a5d9e3e1f2796d2b2210a906ee29f4a7fc748033d17ae0dd9300b43 |
| container_end_page | 153 |
| container_issue | 3 |
| container_start_page | 153 |
| container_title | Energies (Basel) |
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| creator | Sun, Yingyun Mao, Rui Li, Zuyi Tian, Wei |
| description | An intrusive spectral method of probabilistic load flow (PLF) is proposed in the paper, which can handle the uncertainties arising from renewable energy integration. Generalized polynomial chaos (gPC) expansions of dependent random variables are utilized to build a spectral stochastic representation of PLF model. Instead of solving the coupled PLF model with a traditional, cumbersome method, a modified stochastic Galerkin (SG) method is proposed based on the P-Q decoupling properties of load flow in power system. By introducing two pre-calculated constant sparse Jacobian matrices, the computational burden of the SG method is significantly reduced. Two cases, IEEE 14-bus and IEEE 118-bus systems, are used to verify the computation speed and efficiency of the proposed method. |
| doi_str_mv | 10.3390/en9030153 |
| format | article |
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Two cases, IEEE 14-bus and IEEE 118-bus systems, are used to verify the computation speed and efficiency of the proposed method.</description><identifier>ISSN: 1996-1073</identifier><identifier>EISSN: 1996-1073</identifier><identifier>DOI: 10.3390/en9030153</identifier><language>eng</language><publisher>Basel: MDPI AG</publisher><subject>Accuracy ; Alternative energy sources ; Computation ; Constants ; Construction ; Electricity distribution ; Galerkin methods ; generalized polynomial chaos ; Jacobians ; Methods ; Nataf transformation ; probabilistic load flow ; Probabilistic methods ; Probability theory ; Random variables ; Renewable resources ; stochastic Galerkin method ; Stochasticity ; uncertainty quantification</subject><ispartof>Energies (Basel), 2016-03, Vol.9 (3), p.153-153</ispartof><rights>Copyright MDPI AG 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c424t-3e1cb87940a5d9e3e1f2796d2b2210a906ee29f4a7fc748033d17ae0dd9300b43</citedby><cites>FETCH-LOGICAL-c424t-3e1cb87940a5d9e3e1f2796d2b2210a906ee29f4a7fc748033d17ae0dd9300b43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1771275479/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1771275479?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,25733,27903,27904,36991,36992,44569,74872</link.rule.ids></links><search><creatorcontrib>Sun, Yingyun</creatorcontrib><creatorcontrib>Mao, Rui</creatorcontrib><creatorcontrib>Li, Zuyi</creatorcontrib><creatorcontrib>Tian, Wei</creatorcontrib><title>Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow</title><title>Energies (Basel)</title><description>An intrusive spectral method of probabilistic load flow (PLF) is proposed in the paper, which can handle the uncertainties arising from renewable energy integration. 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Two cases, IEEE 14-bus and IEEE 118-bus systems, are used to verify the computation speed and efficiency of the proposed method.</description><subject>Accuracy</subject><subject>Alternative energy sources</subject><subject>Computation</subject><subject>Constants</subject><subject>Construction</subject><subject>Electricity distribution</subject><subject>Galerkin methods</subject><subject>generalized polynomial chaos</subject><subject>Jacobians</subject><subject>Methods</subject><subject>Nataf transformation</subject><subject>probabilistic load flow</subject><subject>Probabilistic methods</subject><subject>Probability theory</subject><subject>Random variables</subject><subject>Renewable resources</subject><subject>stochastic Galerkin method</subject><subject>Stochasticity</subject><subject>uncertainty quantification</subject><issn>1996-1073</issn><issn>1996-1073</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNqFkU1P3DAQhiPUSiDgwD-IxKU9hI4_YsdHWBUKWtRKhbM1sSfgbYjBzgr672tYhCouzGU-9OjVOzNVdcDgSAgD32gyIIC1YqvaYcaohoEWn_6rt6v9nFdQQggmhNiprhdxyjNOc32BLvYBp_oS5xSemhPM5Ovfc3S3mOfg6jMcKf0JBaD5Nvp6iKn-lWKPfRjDC7GM6OvTMT7uVZ8HHDPtv-bd6vr0-9XiR7P8eXa-OF42TnI5N4KY6zttJGDrDZV24Nooz3vOGaABRcTNIFEPTsuumPZMI4H3RgD0UuxW5xtdH3Fl71O4w_TXRgz2ZRDTjcVUnI1kDWjdMmSsJZJqUD1jplfadQTQOcSi9WWjdZ_iw5rybO9CdjSOOFFcZ8s6AKk45_AxqrVSrWyFLujhO3QV12kqR3mmGNet1KZQXzeUSzHnRMPbLgzs82vt22vFP4EBkwQ</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>Sun, Yingyun</creator><creator>Mao, Rui</creator><creator>Li, Zuyi</creator><creator>Tian, Wei</creator><general>MDPI AG</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7ST</scope><scope>7U6</scope><scope>C1K</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>DOA</scope></search><sort><creationdate>20160301</creationdate><title>Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow</title><author>Sun, Yingyun ; 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| fulltext | fulltext |
| identifier | ISSN: 1996-1073 |
| ispartof | Energies (Basel), 2016-03, Vol.9 (3), p.153-153 |
| issn | 1996-1073 1996-1073 |
| language | eng |
| recordid | cdi_doaj_primary_oai_doaj_org_article_907751a115ee46f6b119b67c8e008caa |
| source | Publicly Available Content (ProQuest) |
| subjects | Accuracy Alternative energy sources Computation Constants Construction Electricity distribution Galerkin methods generalized polynomial chaos Jacobians Methods Nataf transformation probabilistic load flow Probabilistic methods Probability theory Random variables Renewable resources stochastic Galerkin method Stochasticity uncertainty quantification |
| title | Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow |
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