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

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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