Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters

The proportional-integral multi-resonance repetitive controller (PIMR-RC) can track the reference current signal of the grid-connected inverter without static error, suppress low-frequency harmonic disturbance signals, and have a fast dynamic response. However, when the grid frequency fluctuates, th...

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Main Authors: Qiangsong Zhao, Hongwei Zhang, Yang Gao, Shasha Chen, Yan Wang
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9851430/
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author Qiangsong Zhao
Hongwei Zhang
Yang Gao
Shasha Chen
Yan Wang
author_facet Qiangsong Zhao
Hongwei Zhang
Yang Gao
Shasha Chen
Yan Wang
author_sort Qiangsong Zhao
collection DOAJ
description The proportional-integral multi-resonance repetitive controller (PIMR-RC) can track the reference current signal of the grid-connected inverter without static error, suppress low-frequency harmonic disturbance signals, and have a fast dynamic response. However, when the grid frequency fluctuates, the performance of reference signal tracking and harmonic suppression will decrease. Based on PIMR-RC, this paper proposes a novel fractional-order repetitive controller (NFO-RC) based on the Thiran infinite impulse response (Thiran IIR) filter, which can automatically track the change of grid frequency. Firstly, the frequency domain analysis of PIMR-RC is given. Then, the realization method based on the Thiran IIR filter is designed, and the structure of NFO-RC system is presented. Moreover, the stability and harmonic suppression analysis of NFO-RC system based on Thiran IIR filter are given. Finally, experimental results on a single-phase <italic>LCL</italic> grid-connected inverter verify the excellent harmonic suppression performance of the proposed NFO-RC system under grid frequency fluctuations.
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spelling doaj.art-ed065b1792284bc3bace1a7733e2afbf2022-12-22T03:59:00ZengIEEEIEEE Access2169-35362022-01-0110820158202410.1109/ACCESS.2022.31967769851430Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected InvertersQiangsong Zhao0Hongwei Zhang1https://orcid.org/0000-0002-1405-2843Yang Gao2https://orcid.org/0000-0002-3823-2697Shasha Chen3Yan Wang4School of Electronic and Information Engineering, Zhongyuan University of Technology, Zhengzhou, ChinaSchool of Electronic and Information Engineering, Zhongyuan University of Technology, Zhengzhou, ChinaSchool of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, ChinaSchool of Electronic and Information Engineering, Zhongyuan University of Technology, Zhengzhou, ChinaSchool of Electronic and Information Engineering, Zhongyuan University of Technology, Zhengzhou, ChinaThe proportional-integral multi-resonance repetitive controller (PIMR-RC) can track the reference current signal of the grid-connected inverter without static error, suppress low-frequency harmonic disturbance signals, and have a fast dynamic response. However, when the grid frequency fluctuates, the performance of reference signal tracking and harmonic suppression will decrease. Based on PIMR-RC, this paper proposes a novel fractional-order repetitive controller (NFO-RC) based on the Thiran infinite impulse response (Thiran IIR) filter, which can automatically track the change of grid frequency. Firstly, the frequency domain analysis of PIMR-RC is given. Then, the realization method based on the Thiran IIR filter is designed, and the structure of NFO-RC system is presented. Moreover, the stability and harmonic suppression analysis of NFO-RC system based on Thiran IIR filter are given. Finally, experimental results on a single-phase <italic>LCL</italic> grid-connected inverter verify the excellent harmonic suppression performance of the proposed NFO-RC system under grid frequency fluctuations.https://ieeexplore.ieee.org/document/9851430/Grid-connected inverterfractional-order repetitive controlThiran IIR filter
spellingShingle Qiangsong Zhao
Hongwei Zhang
Yang Gao
Shasha Chen
Yan Wang
Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
IEEE Access
Grid-connected inverter
fractional-order repetitive control
Thiran IIR filter
title Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
title_full Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
title_fullStr Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
title_full_unstemmed Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
title_short Novel Fractional-Order Repetitive Controller Based on Thiran IIR Filter for Grid-Connected Inverters
title_sort novel fractional order repetitive controller based on thiran iir filter for grid connected inverters
topic Grid-connected inverter
fractional-order repetitive control
Thiran IIR filter
url https://ieeexplore.ieee.org/document/9851430/
work_keys_str_mv AT qiangsongzhao novelfractionalorderrepetitivecontrollerbasedonthiraniirfilterforgridconnectedinverters
AT hongweizhang novelfractionalorderrepetitivecontrollerbasedonthiraniirfilterforgridconnectedinverters
AT yanggao novelfractionalorderrepetitivecontrollerbasedonthiraniirfilterforgridconnectedinverters
AT shashachen novelfractionalorderrepetitivecontrollerbasedonthiraniirfilterforgridconnectedinverters
AT yanwang novelfractionalorderrepetitivecontrollerbasedonthiraniirfilterforgridconnectedinverters