A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations
This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus,...
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Veröffentlicht in: | IEEE transactions on power electronics 2012-07, Vol.27 (7), p.3352-3362 |
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creator | Khajehoddin, S. A. Karimi-Ghartemani, M. Jain, P. K. Bakhshai, A. |
description | This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus, given the name of polar form resonant (PFR) controller. While the PFR is totally equivalent to the R controller in continuous-time domain, it offers a much higher structural robustness when it comes to digital implementations. Particularly, it is shown in this paper that the PFR resolves the well-known structural sensitivity of the R controller for applications that need high sampling frequency and have word length limitations. Such a structural sensitivity is conventionally resolved by resorting to the delta-domain realizations. The PFR offers an alternative method to the delta-domain realization technique with even higher degree of robustness and easier stage of adjustment. Moreover, the PFR can easily be enhanced to accommodate frequency variations, a feature that is not easily attainable using the delta-domain method. Feasibility of the PFR controller is verified using a laboratory prototype of a single-phase uninterruptible power supply system operating at high sampling and switching frequencies where the control system is implemented on a field programmable gate array board. |
doi_str_mv | 10.1109/TPEL.2011.2181422 |
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A. ; Karimi-Ghartemani, M. ; Jain, P. K. ; Bakhshai, A.</creator><creatorcontrib>Khajehoddin, S. A. ; Karimi-Ghartemani, M. ; Jain, P. K. ; Bakhshai, A.</creatorcontrib><description>This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus, given the name of polar form resonant (PFR) controller. While the PFR is totally equivalent to the R controller in continuous-time domain, it offers a much higher structural robustness when it comes to digital implementations. Particularly, it is shown in this paper that the PFR resolves the well-known structural sensitivity of the R controller for applications that need high sampling frequency and have word length limitations. Such a structural sensitivity is conventionally resolved by resorting to the delta-domain realizations. The PFR offers an alternative method to the delta-domain realization technique with even higher degree of robustness and easier stage of adjustment. Moreover, the PFR can easily be enhanced to accommodate frequency variations, a feature that is not easily attainable using the delta-domain method. Feasibility of the PFR controller is verified using a laboratory prototype of a single-phase uninterruptible power supply system operating at high sampling and switching frequencies where the control system is implemented on a field programmable gate array board.</description><identifier>ISSN: 0885-8993</identifier><identifier>EISSN: 1941-0107</identifier><identifier>DOI: 10.1109/TPEL.2011.2181422</identifier><identifier>CODEN: ITPEE8</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Circuit properties ; Controllers ; Delta-domain realization ; Digital circuits ; Electric, optical and optoelectronic circuits ; Electrical engineering. Electrical power engineering ; Electrical machines ; Electronic circuits ; Electronic equipment and fabrication. Passive components, printed wiring boards, connectics ; Electronics ; Exact sciences and technology ; Field programmable gate arrays ; fixed-point implementation ; Frequencies ; Frequency control ; high sampling frequency ; Phase locked loops ; phase-locked loop (PLL) ; Power electronics, power supplies ; Power supply ; Regulation and control ; resonant controller ; Resonant frequency ; robust realization ; Robustness ; Sampling ; Sensitivity ; Transfer functions ; uninterruptible power supply (UPS)</subject><ispartof>IEEE transactions on power electronics, 2012-07, Vol.27 (7), p.3352-3362</ispartof><rights>2015 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Jul 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c322t-a69715abd3f86ac19d9de8ce9fa6c32ecc51b1f6ed00a192480e9915fb0afdf93</citedby><cites>FETCH-LOGICAL-c322t-a69715abd3f86ac19d9de8ce9fa6c32ecc51b1f6ed00a192480e9915fb0afdf93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6112241$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,778,782,794,27907,27908,54741</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6112241$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26136422$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Khajehoddin, S. A.</creatorcontrib><creatorcontrib>Karimi-Ghartemani, M.</creatorcontrib><creatorcontrib>Jain, P. K.</creatorcontrib><creatorcontrib>Bakhshai, A.</creatorcontrib><title>A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations</title><title>IEEE transactions on power electronics</title><addtitle>TPEL</addtitle><description>This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus, given the name of polar form resonant (PFR) controller. While the PFR is totally equivalent to the R controller in continuous-time domain, it offers a much higher structural robustness when it comes to digital implementations. Particularly, it is shown in this paper that the PFR resolves the well-known structural sensitivity of the R controller for applications that need high sampling frequency and have word length limitations. Such a structural sensitivity is conventionally resolved by resorting to the delta-domain realizations. The PFR offers an alternative method to the delta-domain realization technique with even higher degree of robustness and easier stage of adjustment. Moreover, the PFR can easily be enhanced to accommodate frequency variations, a feature that is not easily attainable using the delta-domain method. Feasibility of the PFR controller is verified using a laboratory prototype of a single-phase uninterruptible power supply system operating at high sampling and switching frequencies where the control system is implemented on a field programmable gate array board.</description><subject>Applied sciences</subject><subject>Circuit properties</subject><subject>Controllers</subject><subject>Delta-domain realization</subject><subject>Digital circuits</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>Electrical machines</subject><subject>Electronic circuits</subject><subject>Electronic equipment and fabrication. Passive components, printed wiring boards, connectics</subject><subject>Electronics</subject><subject>Exact sciences and technology</subject><subject>Field programmable gate arrays</subject><subject>fixed-point implementation</subject><subject>Frequencies</subject><subject>Frequency control</subject><subject>high sampling frequency</subject><subject>Phase locked loops</subject><subject>phase-locked loop (PLL)</subject><subject>Power electronics, power supplies</subject><subject>Power supply</subject><subject>Regulation and control</subject><subject>resonant controller</subject><subject>Resonant frequency</subject><subject>robust realization</subject><subject>Robustness</subject><subject>Sampling</subject><subject>Sensitivity</subject><subject>Transfer functions</subject><subject>uninterruptible power supply (UPS)</subject><issn>0885-8993</issn><issn>1941-0107</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1Lw0AQhhdRsFZ_gHgJgsfUnc1Hs0eprS0ULLXiScJmM9tuSbN1dwP6701I6WkO87zvMA8h90BHAJQ_b1bT5YhRgBGDDGLGLsgAeAwhBTq-JAOaZUmYcR5dkxvn9pRCnFAYkO-XYI3O1KL2wcTU3pqqQht8ab8L5nq7Cz68baRvrKiCtSka52t0LlDGBjP9i2W4MrqNvuqt9i2yOBwrPGDthdemdrfkSonK4d1pDsnnbLqZzMPl-9ti8rIMZcSYD0XKx5CIooxUlgoJvOQlZhK5EmlLoJQJFKBSLCkVwFmcUeQcElVQoUrFoyF57HuP1vw06Hy-N42t25M554zz9tcOgh6S1jhnUeVHqw_C_uVA805i3knMO4n5SWKbeToVCydFpayopXbnIEshSnvuoec0Ip7XKQBjMUT_lON8DA</recordid><startdate>20120701</startdate><enddate>20120701</enddate><creator>Khajehoddin, S. A.</creator><creator>Karimi-Ghartemani, M.</creator><creator>Jain, P. K.</creator><creator>Bakhshai, A.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>20120701</creationdate><title>A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations</title><author>Khajehoddin, S. A. ; Karimi-Ghartemani, M. ; Jain, P. K. ; Bakhshai, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c322t-a69715abd3f86ac19d9de8ce9fa6c32ecc51b1f6ed00a192480e9915fb0afdf93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Applied sciences</topic><topic>Circuit properties</topic><topic>Controllers</topic><topic>Delta-domain realization</topic><topic>Digital circuits</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electrical engineering. Electrical power engineering</topic><topic>Electrical machines</topic><topic>Electronic circuits</topic><topic>Electronic equipment and fabrication. Passive components, printed wiring boards, connectics</topic><topic>Electronics</topic><topic>Exact sciences and technology</topic><topic>Field programmable gate arrays</topic><topic>fixed-point implementation</topic><topic>Frequencies</topic><topic>Frequency control</topic><topic>high sampling frequency</topic><topic>Phase locked loops</topic><topic>phase-locked loop (PLL)</topic><topic>Power electronics, power supplies</topic><topic>Power supply</topic><topic>Regulation and control</topic><topic>resonant controller</topic><topic>Resonant frequency</topic><topic>robust realization</topic><topic>Robustness</topic><topic>Sampling</topic><topic>Sensitivity</topic><topic>Transfer functions</topic><topic>uninterruptible power supply (UPS)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khajehoddin, S. A.</creatorcontrib><creatorcontrib>Karimi-Ghartemani, M.</creatorcontrib><creatorcontrib>Jain, P. 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A.</au><au>Karimi-Ghartemani, M.</au><au>Jain, P. K.</au><au>Bakhshai, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations</atitle><jtitle>IEEE transactions on power electronics</jtitle><stitle>TPEL</stitle><date>2012-07-01</date><risdate>2012</risdate><volume>27</volume><issue>7</issue><spage>3352</spage><epage>3362</epage><pages>3352-3362</pages><issn>0885-8993</issn><eissn>1941-0107</eissn><coden>ITPEE8</coden><abstract>This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus, given the name of polar form resonant (PFR) controller. While the PFR is totally equivalent to the R controller in continuous-time domain, it offers a much higher structural robustness when it comes to digital implementations. Particularly, it is shown in this paper that the PFR resolves the well-known structural sensitivity of the R controller for applications that need high sampling frequency and have word length limitations. Such a structural sensitivity is conventionally resolved by resorting to the delta-domain realizations. The PFR offers an alternative method to the delta-domain realization technique with even higher degree of robustness and easier stage of adjustment. Moreover, the PFR can easily be enhanced to accommodate frequency variations, a feature that is not easily attainable using the delta-domain method. Feasibility of the PFR controller is verified using a laboratory prototype of a single-phase uninterruptible power supply system operating at high sampling and switching frequencies where the control system is implemented on a field programmable gate array board.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TPEL.2011.2181422</doi><tpages>11</tpages></addata></record> |
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subjects | Applied sciences Circuit properties Controllers Delta-domain realization Digital circuits Electric, optical and optoelectronic circuits Electrical engineering. Electrical power engineering Electrical machines Electronic circuits Electronic equipment and fabrication. Passive components, printed wiring boards, connectics Electronics Exact sciences and technology Field programmable gate arrays fixed-point implementation Frequencies Frequency control high sampling frequency Phase locked loops phase-locked loop (PLL) Power electronics, power supplies Power supply Regulation and control resonant controller Resonant frequency robust realization Robustness Sampling Sensitivity Transfer functions uninterruptible power supply (UPS) |
title | A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations |
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