An efficient model predictive control based on Lyapunov function for doubly fed induction generator fed by a T-type inve
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ORIGINAL PAPER
An efficient model predictive control based on Lyapunov function for doubly fed induction generator fed by a T-type inverter Tien A. Nguyen1,2 · Hoang Tung Nguyen3,4,5,6 · Gia Anh Vu Phan7 · V. Pham8 · Van On Vo9 · Phuc Thinh Doan10 · Viet-Tuan Pham13 · Kim Anh Nguyen11 · Pedro Rodriguez-Ayerbe12 · Van-Quang-Binh Ngo13 Received: 5 March 2020 / Accepted: 27 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper proposed an efficient model predictive control strategy for a three-level T-type inverter connected to a doubly fed induction generator. A dynamic model is utilized to track the power reference, preserve the DC-link voltage balancing and reduce the inverter switching frequency and common-mode voltage. Unlike the traditional finite control set model predictive control, the stability of the closed-loop system and computational burden reduction are concurrently accomplished as the main contribution to the proposed strategy. At each sampling period, the proposed algorithm only considers the candidate control inputs which satisfy the stability condition taken from a suitable control Lyapunov function for evaluating the optimization problem. Due to model uncertainties and discrete set control input voltages, an attractivity set is employed to determine the stability and converge of the system. Therefore, the lower computation time of the optimization problem is the potential benefit compared with the conventional method. Simulation investigation with different operating conditions of a 2 MW wind turbine is carried out by MATLAB/Simulink. The achieved results confirm the stability guarantees while reducing the computational burden and obtaining the same control performances in comparison with the conventional method. Keywords Finite control set model predictive control · T-type inverter · Doubly fed induction generator · Control Lyapunov function · Computational burden · Stability condition
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Van-Quang-Binh Ngo [email protected]
1
Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam
2
Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh city 700000, Vietnam
4
Faculty of Natural Science, Duy Tan University, Da Nang City 550000, Vietnam
5
Department of Nuclear Physics and Nuclear Engineering, Faculty of Physics and Engineering Physics, University of Science, Ho Chi Minh City, Vietnam
6
Vietnam National University, Ho Chi Minh City, Vietnam
7
Faculty of Applied sciences, HCMC University of Technology and Education, Ho Chi Minh City, Vietnam
8
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
Nomenclature ωs , ωm , ωr Synchronous, rotor and slip angular frequencies Stator, rotor flux linkage vectors ψs , ψr Angle between the rotor and stator flux θr Stator flux and rotor angles θs , θm σ Coefficient of leakage DC-bus capacitance C1 , C2 , C
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