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

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Department of Electrical and Electronics Engineering, Sakarya University, Faculty of Engineering, 54050 Serdivan/Sakarya, Turkey
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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
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Department of Electrical and Electronics Engineering, Sakarya University of Applied Sciences, 54050 Serdivan/Sakarya, Turkey
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Department of Mechatronics Engineering, Faculty of Engineering, Balıkesir University, 10145 Balikesir, Turkey
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Department of Energy Technology, Aalborg University, 9220 Aalborg, Denmark
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Authors to whom correspondence should be addressed.
Energies 2020, 13(2), 360; https://doi.org/10.3390/en13020360
Received: 2 December 2019 / Revised: 7 January 2020 / Accepted: 8 January 2020 / Published: 11 January 2020
(This article belongs to the Section Solar Energy and Photovoltaic Systems)
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. View Full-Text
Keywords: grid-tied inverter; adaptive control; robust differentiator; L filter design; adaptive second order sliding mode grid-tied inverter; adaptive control; robust differentiator; L filter design; adaptive second order sliding mode
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Kamal, T.; Karabacak, M.; Kilic, F.; Blaabjerg, F.; Fernández-Ramírez, L.M. Fast Adaptive Robust Differentiator Based Robust-Adaptive Control of Grid-Tied Inverters with a New L Filter Design Method. Energies 2020, 13, 360.

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