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
Hauptverfasser: Khajehoddin, S. A., Karimi-Ghartemani, M., Jain, P. K., Bakhshai, A.
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container_end_page 3362
container_issue 7
container_start_page 3352
container_title IEEE transactions on power electronics
container_volume 27
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. 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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. 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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. 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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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