Equivalent Circuit Analysis of Linear Phase-Shifting Transformer with End Effect
The linear phase-shifting transformers (LPSTs) are a new type of transformers with a structure similar to a linear motor that can be used in multiplex technology. A reasonable equivalent circuit is the premise of control research. Based on one-dimensional electromagnetic field analysis of the LPST,...
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| Veröffentlicht in: | Mathematical problems in engineering 2022-05, Vol.2022, p.1-15 |
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| creator | Wu, Mei Zhao, Jinghong Guo, Guoqiang Xiong, Yiyong |
| description | The linear phase-shifting transformers (LPSTs) are a new type of transformers with a structure similar to a linear motor that can be used in multiplex technology. A reasonable equivalent circuit is the premise of control research. Based on one-dimensional electromagnetic field analysis of the LPST, we reference the theory of linear motor and propose an equivalent circuit model of the LPST. The LPSTs, which are a phase-shifting transformers based on linear motor structure, are affected by end effects. The end effects affect the mutual inductance and secondary resistance of the LPST, which is modified by four correction coefficients. This paper calculates the four correction coefficients, inductance, and resistance of the LPST and then proposes a single-phase T-type equivalent circuit model considering end effects. Using the analytical model, the output voltages under the three working conditions are calculated and analyzed, and the accuracy is verified by comparison with results obtained by the finite element method. Finally, the accuracy of the analytical method is further verified by experiments under two working conditions, which indicates that the equivalent model is credible and useful for control research of multi-inverter system based on the LPST. |
| doi_str_mv | 10.1155/2022/1984595 |
| format | Article |
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A reasonable equivalent circuit is the premise of control research. Based on one-dimensional electromagnetic field analysis of the LPST, we reference the theory of linear motor and propose an equivalent circuit model of the LPST. The LPSTs, which are a phase-shifting transformers based on linear motor structure, are affected by end effects. The end effects affect the mutual inductance and secondary resistance of the LPST, which is modified by four correction coefficients. This paper calculates the four correction coefficients, inductance, and resistance of the LPST and then proposes a single-phase T-type equivalent circuit model considering end effects. Using the analytical model, the output voltages under the three working conditions are calculated and analyzed, and the accuracy is verified by comparison with results obtained by the finite element method. Finally, the accuracy of the analytical method is further verified by experiments under two working conditions, which indicates that the equivalent model is credible and useful for control research of multi-inverter system based on the LPST.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2022/1984595</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Accuracy ; Dimensional analysis ; Electric motors ; Electromagnetic fields ; Equivalent circuits ; Finite element analysis ; Finite element method ; Inductance ; Linear phase ; Magnetic fields ; Mathematical models ; Mathematical problems ; Transformers</subject><ispartof>Mathematical problems in engineering, 2022-05, Vol.2022, p.1-15</ispartof><rights>Copyright © 2022 Mei Wu et al.</rights><rights>Copyright © 2022 Mei Wu et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c294t-ad572a9679479a5e3cfa6daf8a593076f6715e6dffb5cfa992cc4770460f95943</cites><orcidid>0000-0001-6895-2743</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,27929,27930</link.rule.ids></links><search><contributor>Stonier, Albert Alexander</contributor><contributor>Albert Alexander Stonier</contributor><creatorcontrib>Wu, Mei</creatorcontrib><creatorcontrib>Zhao, Jinghong</creatorcontrib><creatorcontrib>Guo, Guoqiang</creatorcontrib><creatorcontrib>Xiong, Yiyong</creatorcontrib><title>Equivalent Circuit Analysis of Linear Phase-Shifting Transformer with End Effect</title><title>Mathematical problems in engineering</title><description>The linear phase-shifting transformers (LPSTs) are a new type of transformers with a structure similar to a linear motor that can be used in multiplex technology. A reasonable equivalent circuit is the premise of control research. Based on one-dimensional electromagnetic field analysis of the LPST, we reference the theory of linear motor and propose an equivalent circuit model of the LPST. The LPSTs, which are a phase-shifting transformers based on linear motor structure, are affected by end effects. The end effects affect the mutual inductance and secondary resistance of the LPST, which is modified by four correction coefficients. This paper calculates the four correction coefficients, inductance, and resistance of the LPST and then proposes a single-phase T-type equivalent circuit model considering end effects. Using the analytical model, the output voltages under the three working conditions are calculated and analyzed, and the accuracy is verified by comparison with results obtained by the finite element method. Finally, the accuracy of the analytical method is further verified by experiments under two working conditions, which indicates that the equivalent model is credible and useful for control research of multi-inverter system based on the LPST.</description><subject>Accuracy</subject><subject>Dimensional analysis</subject><subject>Electric motors</subject><subject>Electromagnetic fields</subject><subject>Equivalent circuits</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Inductance</subject><subject>Linear phase</subject><subject>Magnetic fields</subject><subject>Mathematical models</subject><subject>Mathematical problems</subject><subject>Transformers</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp9kM1KAzEURoMoWKs7HyDgUscmmfw0y1KmKhQsWMFdiJnESWkzbZKx9O2d0q7lLu6Fe_j4OADcY_SMMWMjgggZYTmmTLILMMCMlwXDVFz2NyK0wKT8ugY3Ka0QIpjh8QAsql3nf_XahgynPprOZzgJen1IPsHWwbkPVke4aHSyxUfjXfbhBy6jDsm1cWMj3PvcwCrUsHLOmnwLrpxeJ3t33kPwOauW09di_v7yNp3MC0MkzYWumSBaciGpkJrZ0jjNa-3GmskSCe64wMzy2rlv1r-kJMZQIRDlyEkmaTkED6fcbWx3nU1Zrdou9s2TIpwLXuJ-eurpRJnYphStU9voNzoeFEbq6Ewdnamzsx5_POGND7Xe-__pP78iavI</recordid><startdate>20220510</startdate><enddate>20220510</enddate><creator>Wu, Mei</creator><creator>Zhao, Jinghong</creator><creator>Guo, Guoqiang</creator><creator>Xiong, Yiyong</creator><general>Hindawi</general><general>Hindawi Limited</general><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0001-6895-2743</orcidid></search><sort><creationdate>20220510</creationdate><title>Equivalent Circuit Analysis of Linear Phase-Shifting Transformer with End Effect</title><author>Wu, Mei ; Zhao, Jinghong ; Guo, Guoqiang ; Xiong, Yiyong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c294t-ad572a9679479a5e3cfa6daf8a593076f6715e6dffb5cfa992cc4770460f95943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Accuracy</topic><topic>Dimensional analysis</topic><topic>Electric motors</topic><topic>Electromagnetic fields</topic><topic>Equivalent circuits</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Inductance</topic><topic>Linear phase</topic><topic>Magnetic fields</topic><topic>Mathematical models</topic><topic>Mathematical problems</topic><topic>Transformers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wu, Mei</creatorcontrib><creatorcontrib>Zhao, Jinghong</creatorcontrib><creatorcontrib>Guo, Guoqiang</creatorcontrib><creatorcontrib>Xiong, Yiyong</creatorcontrib><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Mei</au><au>Zhao, Jinghong</au><au>Guo, Guoqiang</au><au>Xiong, Yiyong</au><au>Stonier, Albert Alexander</au><au>Albert Alexander Stonier</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equivalent Circuit Analysis of Linear Phase-Shifting Transformer with End Effect</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2022-05-10</date><risdate>2022</risdate><volume>2022</volume><spage>1</spage><epage>15</epage><pages>1-15</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>The linear phase-shifting transformers (LPSTs) are a new type of transformers with a structure similar to a linear motor that can be used in multiplex technology. A reasonable equivalent circuit is the premise of control research. Based on one-dimensional electromagnetic field analysis of the LPST, we reference the theory of linear motor and propose an equivalent circuit model of the LPST. The LPSTs, which are a phase-shifting transformers based on linear motor structure, are affected by end effects. The end effects affect the mutual inductance and secondary resistance of the LPST, which is modified by four correction coefficients. This paper calculates the four correction coefficients, inductance, and resistance of the LPST and then proposes a single-phase T-type equivalent circuit model considering end effects. Using the analytical model, the output voltages under the three working conditions are calculated and analyzed, and the accuracy is verified by comparison with results obtained by the finite element method. Finally, the accuracy of the analytical method is further verified by experiments under two working conditions, which indicates that the equivalent model is credible and useful for control research of multi-inverter system based on the LPST.</abstract><cop>New York</cop><pub>Hindawi</pub><doi>10.1155/2022/1984595</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0001-6895-2743</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Accuracy Dimensional analysis Electric motors Electromagnetic fields Equivalent circuits Finite element analysis Finite element method Inductance Linear phase Magnetic fields Mathematical models Mathematical problems Transformers |
| title | Equivalent Circuit Analysis of Linear Phase-Shifting Transformer with End Effect |
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