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Fast Adaptive Robust Differentiator Based Robust-Adaptive Control of Grid-Tied Inverters with a New L Filter Design Method

Author

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  • Tariq Kamal

    (Department of Electrical and Electronics Engineering, Sakarya University, Faculty of Engineering, 54050 Serdivan/Sakarya, Turkey
    Research Group in Electrical Technologies for Sustainable and Renewable Energy (PAIDI-TEP-023), University of Cadiz, Higher Polytechnic School of Algeciras, 11202 Algeciras (Cadiz), Spain)

  • Murat Karabacak

    (Department of Electrical and Electronics Engineering, Sakarya University of Applied Sciences, 54050 Serdivan/Sakarya, Turkey)

  • Fuat Kilic

    (Department of Mechatronics Engineering, Faculty of Engineering, Balıkesir University, 10145 Balikesir, Turkey)

  • Frede Blaabjerg

    (Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark)

  • Luis M. Fernández-Ramírez

    (Research Group in Electrical Technologies for Sustainable and Renewable Energy (PAIDI-TEP-023), University of Cadiz, Higher Polytechnic School of Algeciras, 11202 Algeciras (Cadiz), Spain)

Abstract

In this research, a new nonlinear and adaptive state feedback controller with a fast-adaptive robust differentiator is presented for grid-tied inverters. All parameters and external disturbances are taken as uncertain in the design of the proposed controller without the disadvantages of singularity and over-parameterization. A robust differentiator based on the second order sliding mode is also developed with a fast-adaptive structure to be able to consider the time derivative of the virtual control input. Unlike the conventional backstepping, the proposed differentiator overcomes the problem of explosion of complexity. In the closed-loop control system, the three phase source currents and direct current (DC) bus voltage are assumed to be available for feedback. Using the Lyapunov stability theory, it is proven that the overall control system has the global asymptotic stability. In addition, a new simple L filter design method based on the total harmonic distortion approach is also proposed. Simulations and experimental results show that the proposed controller assurances drive the tracking errors to zero with better performance, and it is robust against all uncertainties. Moreover, the proposed L filter design method matches the total harmonic distortion (THD) aim in the design with the experimental result.

Suggested Citation

  • Tariq Kamal & Murat Karabacak & Fuat Kilic & Frede Blaabjerg & Luis M. Fernández-Ramírez, 2020. "Fast Adaptive Robust Differentiator Based Robust-Adaptive Control of Grid-Tied Inverters with a New L Filter Design Method," Energies, MDPI, vol. 13(2), pages 1-20, January.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:2:p:360-:d:307687
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    References listed on IDEAS

    as
    1. Cambronne, J.P. & Pierre, X., 1998. "Synthesis of different synchronous modulators for high power three-phase/single-phase PWM converters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(3), pages 413-423.
    2. Yacoubi, Loubna & Fnaiech, Farhat & Dessaint, Louis-A. & Al-Haddad, Kamal, 2003. "New nonlinear control of three-phase NPC boost rectifier operating under severe disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(3), pages 307-320.
    3. Naouar, M.W. & Ben Hania, B. & Slama-Belkhodja, I. & Monmasson, E. & Naassani, A.A., 2013. "FPGA-based sliding mode direct control of single phase PWM boost rectifier," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 91(C), pages 249-261.
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