IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i8p1545-d225502.html
   My bibliography  Save this article

Least Mean Squares and Recursive Least Squares Algorithms for Total Harmonic Distortion Reduction Using Shunt Active Power Filter Control

Author

Listed:
  • Radek Martinek

    (Department of Cybernetics and Biomedical Engineering, Faculty of Electrical Engineering and Computer Science, VSB–Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • Jaroslav Rzidky

    (Department of Cybernetics and Biomedical Engineering, Faculty of Electrical Engineering and Computer Science, VSB–Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • Rene Jaros

    (Department of Cybernetics and Biomedical Engineering, Faculty of Electrical Engineering and Computer Science, VSB–Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • Petr Bilik

    (Department of Cybernetics and Biomedical Engineering, Faculty of Electrical Engineering and Computer Science, VSB–Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • Martina Ladrova

    (Department of Cybernetics and Biomedical Engineering, Faculty of Electrical Engineering and Computer Science, VSB–Technical University of Ostrava, 17. listopadu 15, 708 33 Ostrava, Czech Republic
    These authors contributed equally to this work.)

Abstract

This paper deals with the use of least mean squares (LMS, NLMS) and recursive least squares (RLS) algorithms for total harmonic distortion (THD) reduction using shunt active power filter (SAPF) control. The article presents a pilot study necessary for the construction of our own controlled adaptive modular inverter. The objective of the study is to find an optimal algorithm for the implementation. The introduction contains a survey of the literature and summarizes contemporary methods. According to this research, only adaptive filtration fulfills our requirements (adaptability, real-time processing, etc.). The primary benefit of the paper is the study of the efficiency of two basic approaches to adaptation ((N)LMS and RLS) in the application area of SAPF control. The study examines the impact of parameter settings (filter length, convergence constant, forgetting factor) on THD, signal-to-noise ratio (SNR), root mean square error (RMSE), percentage root mean square difference (PRD), speed, and stability. The experiments are realized with real current and voltage recordings (consumer electronics such as PC source without power factor correction (PFC), HI-FI amplifier, etc.), which contain fast dynamic transient phenomena. The realized model takes into account a delay caused by digital signal processing (DSP) (the implementation of algorithms on field programmable gate array (FPGA), approximately 1–5 μs) and a delay caused by the reaction time of the proper inverter (approximately 100 μ s). The pilot study clearly showed that the RLS algorithm is the most suitable for the implementation of an adaptive modular inverter because it achieved the best results for all analyzed parameters.

Suggested Citation

  • Radek Martinek & Jaroslav Rzidky & Rene Jaros & Petr Bilik & Martina Ladrova, 2019. "Least Mean Squares and Recursive Least Squares Algorithms for Total Harmonic Distortion Reduction Using Shunt Active Power Filter Control," Energies, MDPI, vol. 12(8), pages 1-26, April.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:8:p:1545-:d:225502
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/8/1545/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/8/1545/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Suleiman Musa & Mohd Amran Mohd Radzi & Hashim Hizam & Noor Izzri Abdul Wahab & Yap Hoon & Muhammad Ammirrul Atiqi Mohd Zainuri, 2017. "Modified Synchronous Reference Frame Based Shunt Active Power Filter with Fuzzy Logic Control Pulse Width Modulation Inverter," Energies, MDPI, vol. 10(6), pages 1-17, May.
    2. Milan Srndovic & Yakov L. Familiant & Gabriele Grandi & Alex Ruderman, 2016. "Time-Domain Minimization of Voltage and Current Total Harmonic Distortion for a Single-Phase Multilevel Inverter with a Staircase Modulation," Energies, MDPI, vol. 9(10), pages 1-14, October.
    3. Mehrasa, Majid & Pouresmaeil, Edris & Zabihi, Sasan & Rodrigues, Eduardo M.G. & Catalão, João P.S., 2016. "A control strategy for the stable operation of shunt active power filters in power grids," Energy, Elsevier, vol. 96(C), pages 325-334.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xing Sun & Wanjun Lei & Yuqi Dai & Yilin Yin & Qian Liu, 2022. "Optimization Configuration of Grid-Connected Inverters to Suppress Harmonic Amplification in a Microgrid," Energies, MDPI, vol. 15(14), pages 1-15, July.
    2. Shengquan Zhao & Yaozong Liu, 2022. "Waveform Quality Evaluation Method of Variable-Frequency Current Based on Curve Fitting," Energies, MDPI, vol. 15(20), pages 1-16, October.
    3. Liqaa Alhafadhi & Jiashen Teh & Ching-Ming Lai & Mohamed Salem, 2020. "Predictive Adaptive Filter for Reducing Total Harmonics Distortion in PV Systems," Energies, MDPI, vol. 13(12), pages 1-15, June.
    4. Minh Ly Duc & Lukas Hlavaty & Petr Bilik & Radek Martinek, 2023. "Harmonic Mitigation Using Meta-Heuristic Optimization for Shunt Adaptive Power Filters: A Review," Energies, MDPI, vol. 16(10), pages 1-55, May.
    5. Naveed Ahmed Malik & Naveed Ishtiaq Chaudhary & Muhammad Asif Zahoor Raja, 2023. "Firefly Optimization Heuristics for Sustainable Estimation in Power System Harmonics," Sustainability, MDPI, vol. 15(6), pages 1-20, March.
    6. Jaime A. Rohten & David N. Dewar & Pericle Zanchetta & Andrea Formentini & Javier A. Muñoz & Carlos R. Baier & José J. Silva, 2021. "Multivariable Deadbeat Control of Power Electronics Converters with Fast Dynamic Response and Fixed Switching Frequency," Energies, MDPI, vol. 14(2), pages 1-16, January.
    7. Sun Lim & Seok-Kyoon Kim & Yonghun Kim, 2021. "Active Damping Injection Output Voltage Control with Dynamic Current Cut-Off Frequency for DC/DC Buck Converters," Energies, MDPI, vol. 14(20), pages 1-17, October.
    8. Hui Li & Yue Qu & Junwei Lu & Shuang Li, 2019. "A Composite Strategy for Harmonic Compensation in Standalone Inverter Based on Linear Active Disturbance Rejection Control," Energies, MDPI, vol. 12(13), pages 1-18, July.
    9. Minh Ly Duc & Petr Bilik & Radek Martinek, 2023. "Harmonics Signal Feature Extraction Techniques: A Review," Mathematics, MDPI, vol. 11(8), pages 1-36, April.
    10. Angel Arranz-Gimon & Angel Zorita-Lamadrid & Daniel Morinigo-Sotelo & Oscar Duque-Perez, 2021. "A Review of Total Harmonic Distortion Factors for the Measurement of Harmonic and Interharmonic Pollution in Modern Power Systems," Energies, MDPI, vol. 14(20), pages 1-38, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Md Alamgir Hossain & Hemanshu Roy Pota & Walid Issa & Md Jahangir Hossain, 2017. "Overview of AC Microgrid Controls with Inverter-Interfaced Generations," Energies, MDPI, vol. 10(9), pages 1-27, August.
    2. Abdelbasset Krama & Laid Zellouma & Boualaga Rabhi & Shady S. Refaat & Mansour Bouzidi, 2018. "Real-Time Implementation of High Performance Control Scheme for Grid-Tied PV System for Power Quality Enhancement Based on MPPC-SVM Optimized by PSO Algorithm," Energies, MDPI, vol. 11(12), pages 1-26, December.
    3. Ramon Guzmán & Luís García de Vicuña & Miguel Castilla & Jaume Miret & Antonio Camacho, 2017. "Finite Control Set Model Predictive Control for a Three-Phase Shunt Active Power Filter with a Kalman Filter-Based Estimation," Energies, MDPI, vol. 10(10), pages 1-14, October.
    4. Yitao Liu & Shan Yin & Xuewei Pan & Huaizhi Wang & Guibin Wang & Jianchun Peng, 2017. "Effects of Nonlinearity in Input Filter on the Dynamic Behavior of an Interleaved Boost PFC Converter," Energies, MDPI, vol. 10(10), pages 1-14, October.
    5. Zafari, A. & Jazaeri, M., 2017. "Conceptual design of an efficient unified shunt active power filter based on voltage and current source converters," Energy, Elsevier, vol. 119(C), pages 911-925.
    6. Naamane Debdouche & Brahim Deffaf & Habib Benbouhenni & Zarour Laid & Mohamed I. Mosaad, 2023. "Direct Power Control for Three-Level Multifunctional Voltage Source Inverter of PV Systems Using a Simplified Super-Twisting Algorithm," Energies, MDPI, vol. 16(10), pages 1-32, May.
    7. Wajahat Ullah Khan Tareen & Muhammad Aamir & Saad Mekhilef & Mutsuo Nakaoka & Mehdi Seyedmahmoudian & Ben Horan & Mudasir Ahmed Memon & Nauman Anwar Baig, 2018. "Mitigation of Power Quality Issues Due to High Penetration of Renewable Energy Sources in Electric Grid Systems Using Three-Phase APF/STATCOM Technologies: A Review," Energies, MDPI, vol. 11(6), pages 1-41, June.
    8. Yu Wang & Yuewu Wang & Si-Zhe Chen & Guidong Zhang & Yun Zhang, 2018. "A Simplified Minimum DC-Link Voltage Control Strategy for Shunt Active Power Filters," Energies, MDPI, vol. 11(9), pages 1-14, September.
    9. Bo Liu & Hongqi Ben & Xiaobing Zhang, 2018. "Large-Signal Stabilization of Three-Phase VSR with Constant Power Load," Energies, MDPI, vol. 11(7), pages 1-14, July.
    10. Yap Hoon & Mohd Amran Mohd Radzi & Mohd Khair Hassan & Nashiren Farzilah Mailah, 2018. "A Dual-Function Instantaneous Power Theory for Operation of Three-Level Neutral-Point-Clamped Inverter-Based Shunt Active Power Filter," Energies, MDPI, vol. 11(6), pages 1-17, June.
    11. Angel Arranz-Gimon & Angel Zorita-Lamadrid & Daniel Morinigo-Sotelo & Oscar Duque-Perez, 2021. "A Review of Total Harmonic Distortion Factors for the Measurement of Harmonic and Interharmonic Pollution in Modern Power Systems," Energies, MDPI, vol. 14(20), pages 1-38, October.
    12. Mohamed Redha Rezoug & Rachid Chenni & Djamel Taibi, 2018. "Fuzzy Logic-Based Perturb and Observe Algorithm with Variable Step of a Reference Voltage for Solar Permanent Magnet Synchronous Motor Drive System Fed by Direct-Connected Photovoltaic Array," Energies, MDPI, vol. 11(2), pages 1-15, February.
    13. Majid Mehrasa & Edris Pouresmaeil & Bahram Pournazarian & Amir Sepehr & Mousa Marzband & João P. S. Catalão, 2018. "Synchronous Resonant Control Technique to Address Power Grid Instability Problems Due to High Renewables Penetration," Energies, MDPI, vol. 11(9), pages 1-18, September.
    14. Alimuddin Alimuddin & Ria Arafiyah & Irma Saraswati & Rocky Alfanz & Partogi Hasudungan & Taufik Taufik, 2021. "Development and Performance Study of Temperature and Humidity Regulator in Baby Incubator Using Fuzzy-PID Hybrid Controller," Energies, MDPI, vol. 14(20), pages 1-21, October.
    15. Jiang Zeng & Lin Yang & Yuchang Ling & Haoping Chen & Zhonglong Huang & Tao Yu & Bo Yang, 2018. "Smoothly Transitive Fixed Frequency Hysteresis Current Control Based on Optimal Voltage Space Vector," Energies, MDPI, vol. 11(7), pages 1-20, July.
    16. Matthias Schiesser & Sébastien Wasterlain & Mario Marchesoni & Mauro Carpita, 2018. "A Simplified Design Strategy for Multi-Resonant Current Control of a Grid-Connected Voltage Source Inverter with an LCL Filter," Energies, MDPI, vol. 11(3), pages 1-15, March.
    17. Sarawut Janpong & Kongpol Areerak & Kongpan Areerak, 2021. "Harmonic Detection for Shunt Active Power Filter Using ADALINE Neural Network," Energies, MDPI, vol. 14(14), pages 1-21, July.
    18. Hadi Hosseini Kordkheili & Mahdi Banejad & Ali Akbarzadeh Kalat & Edris Pouresmaeil & João P. S. Catalão, 2018. "Direct-Lyapunov-Based Control Scheme for Voltage Regulation in a Three-Phase Islanded Microgrid with Renewable Energy Sources," Energies, MDPI, vol. 11(5), pages 1-18, May.
    19. Abdallah El Ghaly & Mohamad Tarnini & Nazih Moubayed & Khaled Chahine, 2022. "A Filter-Less Time-Domain Method for Reference Signal Extraction in Shunt Active Power Filters," Energies, MDPI, vol. 15(15), pages 1-16, July.
    20. Nomaguchi, Yutaka & Tanaka, Hiroki & Sakakibara, Akiyuki & Fujita, Kikuo & Kishita, Yusuke & Hara, Keishiro & Uwasu, Michinori, 2017. "Integrated planning of low-voltage power grids and subsidies toward a distributed generation system – Case study of the diffusion of photovoltaics in a Japanese dormitory town," Energy, Elsevier, vol. 140(P1), pages 779-793.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:12:y:2019:i:8:p:1545-:d:225502. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.