Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller

Repetitive operation is extensively present in the inverter compressor refrigeration field. Research illustrates that an approximate periodic load disturbance deteriorates its self-sensing and efficiency in a low frequency range. According to an internal model theorem, a repetitive controller can re...

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Main Authors: Fankun Meng, Xiaoning Zhang, Zhengguo Li, Xiaoqin Wen, Linru You
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/23/6342
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spelling doaj-71631fc2dc5245dc82523fbdf992969a2020-12-02T00:01:30ZengMDPI AGEnergies1996-10732020-12-01136342634210.3390/en13236342Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive ControllerFankun Meng0Xiaoning Zhang1Zhengguo Li2Xiaoqin Wen3Linru You4School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaSchool of Business Administration, South China University of Technology, Guangzhou 510641, ChinaShenzhen Polytechnic, Shenzhen 518055, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, ChinaRepetitive operation is extensively present in the inverter compressor refrigeration field. Research illustrates that an approximate periodic load disturbance deteriorates its self-sensing and efficiency in a low frequency range. According to an internal model theorem, a repetitive controller can realize periodic signal tracking or suppression; however, ideal repetitive control (IRC) can not be directly employed in practical application owing to its excessive sensitivity to period-time uncertainties or aperiodic component, etc. In addition, the ratio between period delay to sampling time can not always maintain an integer which causes the resonant frequencies to deviate from the interested. Even if the ratio is a fixed integer, the auxiliary function for stabilization in a conventional repetitive controller can result in the steady state tracking error. In this paper, a revised repetitive controller with a novel Savitzky–Golay (S–G) filter is proposed, the S–G filter cascaded with a traditional delay element can approximate the delay element with any ratio. Aiming at a different operating condition, a second order generalized integrator (SOGI) based observer is employed to extract disturbance fundamental component, and Steiglitz–McBride based adaptive notch filter (SM-ANF) is adopted for frequency estimation. The proposed scheme varies the S–G filter according to variable fundamental frequency and maintains its resonant frequencies corresponding with the fundamental and harmonic disturbance. In the end, simulations and experiments are implemented and results illustrate that speed fluctuation can be effectively suppressed by the proposed method.https://www.mdpi.com/1996-1073/13/23/6342speed fluctuationrevised repetitive control (RRC)S–G filtersecond order generalized integrator (SOGI)frequency adaptiveness
collection DOAJ
language English
format Article
sources DOAJ
author Fankun Meng
Xiaoning Zhang
Zhengguo Li
Xiaoqin Wen
Linru You
spellingShingle Fankun Meng
Xiaoning Zhang
Zhengguo Li
Xiaoqin Wen
Linru You
Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
Energies
speed fluctuation
revised repetitive control (RRC)
S–G filter
second order generalized integrator (SOGI)
frequency adaptiveness
author_facet Fankun Meng
Xiaoning Zhang
Zhengguo Li
Xiaoqin Wen
Linru You
author_sort Fankun Meng
title Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
title_short Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
title_full Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
title_fullStr Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
title_full_unstemmed Speed Fluctuation Suppression for the Inverter Compressor Based on the Adaptive Revised Repetitive Controller
title_sort speed fluctuation suppression for the inverter compressor based on the adaptive revised repetitive controller
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2020-12-01
description Repetitive operation is extensively present in the inverter compressor refrigeration field. Research illustrates that an approximate periodic load disturbance deteriorates its self-sensing and efficiency in a low frequency range. According to an internal model theorem, a repetitive controller can realize periodic signal tracking or suppression; however, ideal repetitive control (IRC) can not be directly employed in practical application owing to its excessive sensitivity to period-time uncertainties or aperiodic component, etc. In addition, the ratio between period delay to sampling time can not always maintain an integer which causes the resonant frequencies to deviate from the interested. Even if the ratio is a fixed integer, the auxiliary function for stabilization in a conventional repetitive controller can result in the steady state tracking error. In this paper, a revised repetitive controller with a novel Savitzky–Golay (S–G) filter is proposed, the S–G filter cascaded with a traditional delay element can approximate the delay element with any ratio. Aiming at a different operating condition, a second order generalized integrator (SOGI) based observer is employed to extract disturbance fundamental component, and Steiglitz–McBride based adaptive notch filter (SM-ANF) is adopted for frequency estimation. The proposed scheme varies the S–G filter according to variable fundamental frequency and maintains its resonant frequencies corresponding with the fundamental and harmonic disturbance. In the end, simulations and experiments are implemented and results illustrate that speed fluctuation can be effectively suppressed by the proposed method.
topic speed fluctuation
revised repetitive control (RRC)
S–G filter
second order generalized integrator (SOGI)
frequency adaptiveness
url https://www.mdpi.com/1996-1073/13/23/6342
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