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Erschienen in: Electrical Engineering 1/2021

22.09.2020 | Original Paper

An efficient model predictive control based on Lyapunov function for doubly fed induction generator fed by a T-type inverter

verfasst von: Tien A. Nguyen, Hoang Tung Nguyen, Gia Anh Vu Phan, V. Pham, Van On Vo, Phuc Thinh Doan, Viet-Tuan Pham, Kim Anh Nguyen, Pedro Rodriguez-Ayerbe, Van-Quang-Binh Ngo

Erschienen in: Electrical Engineering | Ausgabe 1/2021

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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.

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Literatur
1.
Zurück zum Zitat Ma K, Tutelea L, Boldea I, Ionel DM, Blaabjerg F (2015) Power electronic drives, controls, and electric generators for large wind turbines-an overview. Electric Power Compon Syst 43(12):1406–1421CrossRef Ma K, Tutelea L, Boldea I, Ionel DM, Blaabjerg F (2015) Power electronic drives, controls, and electric generators for large wind turbines-an overview. Electric Power Compon Syst 43(12):1406–1421CrossRef
2.
Zurück zum Zitat Blaabjerg F, Liserre M, Ma K (2012) Power electronics converters for wind turbine systems. IEEE Tran Ind Electron 48(2):708–719 Blaabjerg F, Liserre M, Ma K (2012) Power electronics converters for wind turbine systems. IEEE Tran Ind Electron 48(2):708–719
3.
Zurück zum Zitat Abad G, Lopez J, Rodriguez M, Marroyo L, Iwanski G (2011) Doubly fed induction machine-modelling and control for wind energy generation. Wiley, New YorkCrossRef Abad G, Lopez J, Rodriguez M, Marroyo L, Iwanski G (2011) Doubly fed induction machine-modelling and control for wind energy generation. Wiley, New YorkCrossRef
4.
Zurück zum Zitat Ourici A (2012) Double flux orientation control for a doubly fed induction machine. Int J Electr Power Energy Syst 43:617–620CrossRef Ourici A (2012) Double flux orientation control for a doubly fed induction machine. Int J Electr Power Energy Syst 43:617–620CrossRef
5.
Zurück zum Zitat Huang L, Yang B, Zhang X, Yin L, Yu1 T, Fang Z (2019) Optimal power tracking of doubly fed induction generator-based wind turbine using swarm moth-flame optimizer. Trans Inst Meas Control 41(6):1491–1503 Huang L, Yang B, Zhang X, Yin L, Yu1 T, Fang Z (2019) Optimal power tracking of doubly fed induction generator-based wind turbine using swarm moth-flame optimizer. Trans Inst Meas Control 41(6):1491–1503
6.
Zurück zum Zitat Qin C, Zhang C, Chen A, Xing X, Zhang G (2018) A space vector modulation scheme of the quasi-Z-source three-level T-type inverter for common-mode voltage reduction. IEEE Trans Industr Electron 65(10):8340–8350CrossRef Qin C, Zhang C, Chen A, Xing X, Zhang G (2018) A space vector modulation scheme of the quasi-Z-source three-level T-type inverter for common-mode voltage reduction. IEEE Trans Industr Electron 65(10):8340–8350CrossRef
7.
Zurück zum Zitat Schweizer M, Kolar JW (2013) Design and implementation of a highly efficient three-level T-type converter for low-voltage applications. IEEE Trans Power Electron 28(2):899–907CrossRef Schweizer M, Kolar JW (2013) Design and implementation of a highly efficient three-level T-type converter for low-voltage applications. IEEE Trans Power Electron 28(2):899–907CrossRef
8.
Zurück zum Zitat Ngo VQB, Nguyen MK, Tran TT, Lim YC, Choi JH (2019a) A simplified model predictive control for T-type inverter with output LC filter. Energies 12(1):31CrossRef Ngo VQB, Nguyen MK, Tran TT, Lim YC, Choi JH (2019a) A simplified model predictive control for T-type inverter with output LC filter. Energies 12(1):31CrossRef
9.
Zurück zum Zitat Ngo VQB, Nguyen MK, Tran TT, Lim YC, Choi JH (2019b) A modified model predictive power control for grid-connected T-type inverter with reduced computational complexity. Electronics 8(2):217CrossRef Ngo VQB, Nguyen MK, Tran TT, Lim YC, Choi JH (2019b) A modified model predictive power control for grid-connected T-type inverter with reduced computational complexity. Electronics 8(2):217CrossRef
10.
Zurück zum Zitat Hopfensperger B, Atkinson DJ, Lakin RA (2000) Stator-flux-oriented control of a doubly fed induction machine with and without position encoder. Proc IEEE Power Electron Appl 147(4):241–250CrossRef Hopfensperger B, Atkinson DJ, Lakin RA (2000) Stator-flux-oriented control of a doubly fed induction machine with and without position encoder. Proc IEEE Power Electron Appl 147(4):241–250CrossRef
11.
Zurück zum Zitat Muller S, Deicke M, De Doncker RW (2002) Doubly fed induction generator systems for wind turbines. IEEE Ind Appl Mag 8(3):26–33CrossRef Muller S, Deicke M, De Doncker RW (2002) Doubly fed induction generator systems for wind turbines. IEEE Ind Appl Mag 8(3):26–33CrossRef
12.
Zurück zum Zitat Hu J, Yuan X (2012) VSC-based direct torque and reactive power control of doubly fed induction generator. J Renew Energy 40:13–23CrossRef Hu J, Yuan X (2012) VSC-based direct torque and reactive power control of doubly fed induction generator. J Renew Energy 40:13–23CrossRef
13.
Zurück zum Zitat Lie X, Cartwright P (2006) Direct active and reactive power control of DFIG for wind energy generation. IEEE Trans Energy Convers 21(3):750–758CrossRef Lie X, Cartwright P (2006) Direct active and reactive power control of DFIG for wind energy generation. IEEE Trans Energy Convers 21(3):750–758CrossRef
14.
Zurück zum Zitat Filho AJS, Ruppert E (2010) A deadbeat active and reactive power control for doubly fed induction generator. Electric Power Component Syst 38(5):592–602CrossRef Filho AJS, Ruppert E (2010) A deadbeat active and reactive power control for doubly fed induction generator. Electric Power Component Syst 38(5):592–602CrossRef
15.
Zurück zum Zitat Xiong L, Wang J, Mi X, Khan MW (2018) Fractional order sliding mode based direct power control of grid-connected DFIG. IEEE Trans Power Syst 33(3):3087–3096CrossRef Xiong L, Wang J, Mi X, Khan MW (2018) Fractional order sliding mode based direct power control of grid-connected DFIG. IEEE Trans Power Syst 33(3):3087–3096CrossRef
16.
Zurück zum Zitat Yang B, Jiang L, Wang L, Yao W, Wu Q (2016) Nonlinear maximum power point tracking control and modal analysis of DFIG based wind turbine. Int J Electr Power Energy Syst 74:429–436CrossRef Yang B, Jiang L, Wang L, Yao W, Wu Q (2016) Nonlinear maximum power point tracking control and modal analysis of DFIG based wind turbine. Int J Electr Power Energy Syst 74:429–436CrossRef
17.
Zurück zum Zitat Djoudi A, Bacha S, Chekireb H, Berkouk EM, Benbouzid MEH, Sandraz J (2017) Robust stator currents sensorless control of stator powers for wind generator based on dfig and matrix converter. Electr Eng 99:1043–1051CrossRef Djoudi A, Bacha S, Chekireb H, Berkouk EM, Benbouzid MEH, Sandraz J (2017) Robust stator currents sensorless control of stator powers for wind generator based on dfig and matrix converter. Electr Eng 99:1043–1051CrossRef
18.
Zurück zum Zitat Hu J, Li Y, Zhu J (2017) Multi-objective model predictive control of doubly-fed induction generators for wind energy conversion. IET Gen Trans Distrib 45(5):574–587 Hu J, Li Y, Zhu J (2017) Multi-objective model predictive control of doubly-fed induction generators for wind energy conversion. IET Gen Trans Distrib 45(5):574–587
19.
Zurück zum Zitat Rodriguez J, Kazmierkowski MP, Espinoza JR, Zanchetta P, Abu-Rub H, Young HA, Rojas CA (2013) State of the art of finite control set model predictive control in power electronics. IEEE Trans Industr Inf 9(2):1003–1016CrossRef Rodriguez J, Kazmierkowski MP, Espinoza JR, Zanchetta P, Abu-Rub H, Young HA, Rojas CA (2013) State of the art of finite control set model predictive control in power electronics. IEEE Trans Industr Inf 9(2):1003–1016CrossRef
20.
Zurück zum Zitat Ngo VQB, Rodriguez-Ayerbe P, Olaru S (2016) Model predictive direct power control for doubly fed induction generator based wind turbines with three-level neutral-point clamped inverter. In: Proceedings of the 42nd annual conference on IEEE industrial electronics society, pp 3476–3481 Ngo VQB, Rodriguez-Ayerbe P, Olaru S (2016) Model predictive direct power control for doubly fed induction generator based wind turbines with three-level neutral-point clamped inverter. In: Proceedings of the 42nd annual conference on IEEE industrial electronics society, pp 3476–3481
21.
Zurück zum Zitat Kouro S, Cortes P, Vargas R, Ammann U, Rodriguez J (2009) Model predictive control-a simple and powerful method to control power converters. IEEE Trans Ind Electron 56(6):1826–1838CrossRef Kouro S, Cortes P, Vargas R, Ammann U, Rodriguez J (2009) Model predictive control-a simple and powerful method to control power converters. IEEE Trans Ind Electron 56(6):1826–1838CrossRef
22.
Zurück zum Zitat Kou P, Liang D, Li J, Gao L, Ze Q (2018) Finite-control-set model predictive control for DFIG wind turbines. IEEE Trans Autom Sci Eng 15(3):1004–1013CrossRef Kou P, Liang D, Li J, Gao L, Ze Q (2018) Finite-control-set model predictive control for DFIG wind turbines. IEEE Trans Autom Sci Eng 15(3):1004–1013CrossRef
23.
Zurück zum Zitat Horváth K, Kuslits M, Lovas S (2020) Model-based control algorithm development of induction machines by using a well-defined model architecture and rapid control prototyping. Electr Eng Horváth K, Kuslits M, Lovas S (2020) Model-based control algorithm development of induction machines by using a well-defined model architecture and rapid control prototyping. Electr Eng
24.
Zurück zum Zitat Sun D, Wang X (2016) Low-complexity model predictive direct power control for DFIG under both balanced and unbalanced grid Conditions. IEEE Trans Industr Electron 63(8):5186–5196 Sun D, Wang X (2016) Low-complexity model predictive direct power control for DFIG under both balanced and unbalanced grid Conditions. IEEE Trans Industr Electron 63(8):5186–5196
25.
Zurück zum Zitat Abdelrahem M, Kennel R (2019) Efficient direct model predictive control for doubly-fed induction generators. Electric Power Component Syst 13(1):21–29 Abdelrahem M, Kennel R (2019) Efficient direct model predictive control for doubly-fed induction generators. Electric Power Component Syst 13(1):21–29
26.
Zurück zum Zitat Kwak S, Yoo S, Park J (2014) Finite control set predictive control based on Lyapunov function for three-phase voltage source inverters. IET Power Electron 7(11):2726–2732CrossRef Kwak S, Yoo S, Park J (2014) Finite control set predictive control based on Lyapunov function for three-phase voltage source inverters. IET Power Electron 7(11):2726–2732CrossRef
27.
Zurück zum Zitat Parvez Akter M, Mekhilef S, Mei Lin Tan N, Akagi H (2016) Modified model predictive control of a bidirectional AC–DC converter based on lyapunov function for energy Storage Systems. IEEE Trans Ind Electron 63(2):704–715CrossRef Parvez Akter M, Mekhilef S, Mei Lin Tan N, Akagi H (2016) Modified model predictive control of a bidirectional AC–DC converter based on lyapunov function for energy Storage Systems. IEEE Trans Ind Electron 63(2):704–715CrossRef
28.
Zurück zum Zitat Aguilera RP, Quevedo DE (2015) Predictive control of power converters: designs with guaranteed performance. IEEE Trans Industr Inf 11(1):53–63CrossRef Aguilera RP, Quevedo DE (2015) Predictive control of power converters: designs with guaranteed performance. IEEE Trans Industr Inf 11(1):53–63CrossRef
29.
Zurück zum Zitat Aguilera RP, Quevedo DE (2013) Stability analysis of quadratic MPC with a discrete input alphabet. IEEE Trans Autom Control 58(12):3190–3196MathSciNetCrossRef Aguilera RP, Quevedo DE (2013) Stability analysis of quadratic MPC with a discrete input alphabet. IEEE Trans Autom Control 58(12):3190–3196MathSciNetCrossRef
30.
Zurück zum Zitat Rodriguez J, Cortes P (2012) Predictive control of power converters and electrical drives. Wiley, New YorkCrossRef Rodriguez J, Cortes P (2012) Predictive control of power converters and electrical drives. Wiley, New YorkCrossRef
31.
Zurück zum Zitat Preindl M (2016) Robust control invariant sets and lyapunov-based MPC for IPM synchronous motor drives. IEEE Trans Ind Electron 63(6):3925–3933CrossRef Preindl M (2016) Robust control invariant sets and lyapunov-based MPC for IPM synchronous motor drives. IEEE Trans Ind Electron 63(6):3925–3933CrossRef
32.
Zurück zum Zitat Kim JS, Yoon TW, Jadbabaie A, Persis CD (2006) Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints. Syst Control Lett 55:293–303MathSciNetCrossRef Kim JS, Yoon TW, Jadbabaie A, Persis CD (2006) Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints. Syst Control Lett 55:293–303MathSciNetCrossRef
33.
Zurück zum Zitat Magni L, Raimondo DM, Scattolini R (2006) Regional input-to-state stability for nonlinear model predictive control. IEEE Trans Autom Control 51(9):1548–1553MathSciNetCrossRef Magni L, Raimondo DM, Scattolini R (2006) Regional input-to-state stability for nonlinear model predictive control. IEEE Trans Autom Control 51(9):1548–1553MathSciNetCrossRef
34.
Zurück zum Zitat Agrachev AA, Morse AS, Utkin EDSHJSVI (2004) Nonlinear and optimal control theory. Springer, Berlin Agrachev AA, Morse AS, Utkin EDSHJSVI (2004) Nonlinear and optimal control theory. Springer, Berlin
35.
Zurück zum Zitat Cortes P, Kouro S, La Rocca B, Vargas R, Rodriguez J, Leon JI, Vazquez S, Franquelo LG (2009) Guidelines for weighting factors design in model predictive control of power converters and drives. In: Proceedings of the international conference on industrial technology, pp 1–7 Cortes P, Kouro S, La Rocca B, Vargas R, Rodriguez J, Leon JI, Vazquez S, Franquelo LG (2009) Guidelines for weighting factors design in model predictive control of power converters and drives. In: Proceedings of the international conference on industrial technology, pp 1–7
36.
Zurück zum Zitat Rivera S, Kouro S, Cortés P, Alepuz S, Malinowski M, Wu B, Rodríguez J (2010) Generalized direct power control for grid connected multilevel converters. In: IEEE international conference on industrial technology, pp 1351–1358 Rivera S, Kouro S, Cortés P, Alepuz S, Malinowski M, Wu B, Rodríguez J (2010) Generalized direct power control for grid connected multilevel converters. In: IEEE international conference on industrial technology, pp 1351–1358
Metadaten
Titel
An efficient model predictive control based on Lyapunov function for doubly fed induction generator fed by a T-type inverter
verfasst von
Tien A. Nguyen
Hoang Tung Nguyen
Gia Anh Vu Phan
V. Pham
Van On Vo
Phuc Thinh Doan
Viet-Tuan Pham
Kim Anh Nguyen
Pedro Rodriguez-Ayerbe
Van-Quang-Binh Ngo
Publikationsdatum
22.09.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Electrical Engineering / Ausgabe 1/2021
Print ISSN: 0948-7921
Elektronische ISSN: 1432-0487
DOI
https://doi.org/10.1007/s00202-020-01100-9

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