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Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled...
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Published in: | Actuators 2020-12, Vol.9 (4), p.99 |
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creator | Chamroon, Chakkapong Cole, Matthew O.T. Fakkaew, Wichaphon |
description | This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. |
doi_str_mv | 10.3390/act9040099 |
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The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.</description><identifier>ISSN: 2076-0825</identifier><identifier>EISSN: 2076-0825</identifier><identifier>DOI: 10.3390/act9040099</identifier><language>eng</language><publisher>MDPI AG</publisher><subject>active magnetic bearings ; low bias current ; nonlinear modeling ; thin-walled structure ; vibration control</subject><ispartof>Actuators, 2020-12, Vol.9 (4), p.99</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c333t-71f44ff352f7bafc8592f337e0a7c4b4e8f8a2a73d68966fef8c8cc7c69ed7ad3</citedby><cites>FETCH-LOGICAL-c333t-71f44ff352f7bafc8592f337e0a7c4b4e8f8a2a73d68966fef8c8cc7c69ed7ad3</cites><orcidid>0000-0001-6812-2088</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Chamroon, Chakkapong</creatorcontrib><creatorcontrib>Cole, Matthew O.T.</creatorcontrib><creatorcontrib>Fakkaew, Wichaphon</creatorcontrib><title>Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems</title><title>Actuators</title><description>This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.</description><subject>active magnetic bearings</subject><subject>low bias current</subject><subject>nonlinear modeling</subject><subject>thin-walled structure</subject><subject>vibration control</subject><issn>2076-0825</issn><issn>2076-0825</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>DOA</sourceid><recordid>eNpNkE1LAzEQhoMoWGov_oKchdXsJpuPY62fUBG04knCbDapKduNJOmh_nq3VtS5zPAy7zPDi9BpSc4pVeQCTFaEEaLUARpVRPCCyKo-_Dcfo0lKKzKUKqkkdITe5r63EP2n75d4FvocQ4eDw4CvfMrRN5tsWzw1eQPZhx4_wLK32Rt8uXMNHhciXrz7vniFrhtWn0IelOdtynadTtCRgy7ZyU8fo5eb68Xsrpg_3t7PpvPCUEpzIUrHmHO0rpxowBlZq8pRKiwBYVjDrHQSKhC05VJx7qyTRhojDFe2FdDSMbrfc9sAK_0R_RriVgfw-lsIcakhDl93VgsBnDetUo1lrJTDvbaqhDOmKUte03pgne1ZJoaUonW_vJLoXc76L2f6BV-GcW8</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Chamroon, Chakkapong</creator><creator>Cole, Matthew O.T.</creator><creator>Fakkaew, Wichaphon</creator><general>MDPI AG</general><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0001-6812-2088</orcidid></search><sort><creationdate>20201201</creationdate><title>Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems</title><author>Chamroon, Chakkapong ; Cole, Matthew O.T. ; Fakkaew, Wichaphon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c333t-71f44ff352f7bafc8592f337e0a7c4b4e8f8a2a73d68966fef8c8cc7c69ed7ad3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>active magnetic bearings</topic><topic>low bias current</topic><topic>nonlinear modeling</topic><topic>thin-walled structure</topic><topic>vibration control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chamroon, Chakkapong</creatorcontrib><creatorcontrib>Cole, Matthew O.T.</creatorcontrib><creatorcontrib>Fakkaew, Wichaphon</creatorcontrib><collection>CrossRef</collection><collection>DOAJÂ Directory of Open Access Journals</collection><jtitle>Actuators</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chamroon, Chakkapong</au><au>Cole, Matthew O.T.</au><au>Fakkaew, Wichaphon</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems</atitle><jtitle>Actuators</jtitle><date>2020-12-01</date><risdate>2020</risdate><volume>9</volume><issue>4</issue><spage>99</spage><pages>99-</pages><issn>2076-0825</issn><eissn>2076-0825</eissn><abstract>This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.</abstract><pub>MDPI AG</pub><doi>10.3390/act9040099</doi><orcidid>https://orcid.org/0000-0001-6812-2088</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | active magnetic bearings low bias current nonlinear modeling thin-walled structure vibration control |
title | Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems |
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