New Optimum Lipschitz Sliding Mode Control for Variable Speed Wind Turbine

Sanae El Bouassi; Zakaria Chalh; EL Mehdi Mellouli

doi:10.15866/ireaco.v16i4.23714

New Optimum Lipschitz Sliding Mode Control for Variable Speed Wind Turbine

Sanae El Bouassi^(1*), Zakaria Chalh⁽²⁾, EL Mehdi Mellouli⁽³⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireaco.v16i4.23714

Abstract

In this paper, a new modified saturated Lipschitz Continuous Sliding Mode Controller strategy is provided for building a dependable controller. The first proposal is to model the wind turbine system. The next step is to add an auxiliary term to the control law to reduce external disturbances and account for the triangular observer's inaccuracy. Furthermore, in order to make this law more intelligent, the Particle Swarm Optimization approach is employed to optimize a key gain in the expression of the law control. To forecast the unknown rotor acceleration necessary for the control rule, an asymptotic observer design is employed that reduces observing errors with time. The control law is based on a Lyapunov stability analysis, which ensures the stability of the system. The suggested method's utility is proved by simulation results, which indicate that it outperforms conventional sliding mode control in terms of settling time, tracking accuracy, energy usage, and control input smoothness.
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Keywords

Lyapunov Stability; Sliding Mode Control; Triangular Observer; Variable Speed Wind Turbine

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References

A. Aissaoui, A. Tahour, M. Abid, et al., Power Control of Wind Turbine based on Fuzzy Controllers, Energy Procedia, Vol:42 pp : 163- 172, 2013.
https://doi.org/10.1016/j.egypro.2013.11.016

C. Arturo, M. Fuentes, R Seeber, et al., Saturated Lipschitz Continuous Sliding Mode Controller for Perturbed Systems With Uncertain Control Coefficient, IEEE Transactions on Automatic Control, Vol:66, pp:3885 - 3891, 2017.
https://doi.org/10.1109/TAC.2020.3034872

M. Ayadi, O. Naifar, N. Derbel, High-order sliding mode control for variable speed PMSG-wind turbine-based disturbance observer, International Journal of Modelling, Identification and Control, Vol:32: pp: 85-92, 2019.
https://doi.org/10.1504/IJMIC.2019.101958

L. Djilali, A. Badillo-Olvera, Y. Yuliana Rios, et al., Neural High Order Sliding Mode Control for Doubly Fed Induction Generator based Wind Turbines, IEEE Latin America Transactions, Vol:20, pp; 223-232, 2022.
https://doi.org/10.1109/TLA.2022.9661461

Y. Errami, A. Obbadi, S. Sahnoun, Combined control strategies for performance enhancement of a wind energy conversion system based PMSG, International Journal of Modelling, Identification and Control, Vol ; 37, pp:153-163, 2022.
https://doi.org/10.1504/IJMIC.2021.120214

A. Ferrara, G. Incremona, and M. Cucuzzella, Advanced and Optimization Based Sliding Mode Control, Theory and Applications. SIAM, 2019.
https://doi.org/10.1137/1.9781611975840

C. Hong, C. Huang, F. Cheng, Sliding Mode Control for Variable-speed Wind Turbine Generation Systems Using Artificial Neural Network, Energy Procedia, Vol ; 61, pp:1626- 1629, 2014.
https://doi.org/10.1016/j.egypro.2014.12.310

M .Labbadi, Y.Boukal, M. Taleb, et al., Fractional order sliding mode control for the tracking problem of quadrotor UAV under external disturbances, In European Control Conference (ECC), Russia, St.Petersburg, 12-15 May 2020.
https://doi.org/10.23919/ECC51009.2020.9143707

E. Mellouli, I. Boumhidi, Direct adaptive fuzzy sliding mode controller without reaching phase for an uncertain threetank-system, International Journal of Modelling, Identification and Control, 2016, 25:4, 335-342.

Mellouli, E., Chalh, Z., Alfidi, M., Boumhidi, I., A New Robust Adaptive Fuzzy Sliding Mode Controller for a Variable Speed Wind Turbine, (2015) International Review of Automatic Control (IREACO), 8 (5), pp. 338-345.
https://doi.org/10.15866/ireaco.v8i5.7192

E. Mellouli, I. Boumhidi, J.Boumhidi, Using fuzzy logic for eliminating the reaching phase on the fuzzy H∞ tracking control, International Journal of Modelling, Identification and Control, Vol: 20, pp: 398-406, 2013.
https://doi.org/10.1504/IJMIC.2013.057573

J. Mérida, L. Aguilar, J. Dávila, Analysis and synthesis of sliding mode control for large scale variable speed wind turbine for power optimization, Renewable Energy, Vol.71, no.11, pp.715-728, 2014.
https://doi.org/10.1016/j.renene.2014.06.030

Q. Ngo, C. Yi, T. Nguyen, The maximum power point tracking based-control system for small-scale wind turbine using fuzzy logic, International Journal of Electrical and Computer Engineering, Vol. 10, No. 4, pp. 3927~3935, August 2020.
https://doi.org/10.11591/ijece.v10i4.pp3927-3935

Y. Dbaghi, S.Farhat, M. Mediouni, et al., Indirect power control of DFIG based on wind turbine operating in MPPT using backstepping approach, International Journal of Electrical and Computer Engineering, Vol. 11, No. 3,pp. 1951~1961, June 2021.
https://doi.org/10.11591/ijece.v11i3.pp1951-1961

A. Monroy and L. Alvarez-Icaza, Wind turbine power coefficient real-time identification, International Journal of Modelling, Identification and Control, Vol :6,pp: 181-187, 2009.
https://doi.org/10.1504/IJMIC.2009.024457

S. El bouassi, Z. Chalh, EM. Mellouli, A New Robust Adaptive Control for Variable Speed Wind Turbine, Artificial Intelligence and Smart Environment, Vol :635, pp: 90-96, 2023.
https://doi.org/10.1007/978-3-031-26254-8_13

F.Golnary, H. Moradi, Dynamic modelling and design of various robust sliding mode controls for the wind turbine with estimation of wind speed, Applied Mathematical Modelling, Vol :65, pp: 566-585, 2019.
https://doi.org/10.1016/j.apm.2018.08.030

A. Norouzi, R. Kazemi, S. Azadi, Vehicle lateral control in the presence of uncertainty for lane change maneuver using adaptive sliding mode control with fuzzy boundary layer, Proceedings of the Institution of Mechanical Engineers Part I: Journal of Systems and Control Engineering, Vol 232,pp:12-28, 2018.
https://doi.org/10.1177/0959651817733222

K. Noussi, A. Abouloifa, H. Katir, et al., Towards a global nonlinear control strategy for DFIG-based wind turbine in a high wind energy penetrated system, International Journal of Modelling, Identification and Control, Vol ; 39, pp:172-183, 2021.
https://doi.org/10.1504/IJMIC.2021.123429

M. Pablo-Romero, A. Sánchez-Braza, A. Galyan, Renewable energy use for electricity generation in transition economies: Evolution, targets and promotion policies, Renew Sustain Energy Rev, Vol: 138, 2021.
https://doi.org/10.1016/j.rser.2020.110481

A. Panteli, D. Manolas, V. Riziotis, et al., Comparative study of two geometrically non-linear beam approaches for the coupled wind turbine system, Journal of Wind Engineering and Industrial Aerodynamics, Vol: 231, 2022.
https://doi.org/10.1016/j.jweia.2022.105231

R. Saravanakumar, J. Debashisha, Validation of an integral sliding mode control for optimal control of a three blade variable speed variable pitch wind turbine, Electrical Power and Energy Systems, pp: 421-429, 2015.
https://doi.org/10.1016/j.ijepes.2015.01.031

Y.Soufi, S. Kahla, M. Bechouat, Particle swarm optimization based sliding mode control of variable speed wind energy conversion system, International journal of hydrogen energy, Vol ;41, pp: 20956-20963, 2016.
https://doi.org/10.1016/j.ijhydene.2016.05.142

W. Yang, H. Yue, E. Deng, Comparison of aerodynamic performance of high-speed train driving on tunnel-bridge section under fluctuating winds based on three turbulence models, Journal of Wind Engineering and Industrial Aerodynamics, Vol:228, 2016.
https://doi.org/10.1016/j.jweia.2022.105081

L.Yujun, X.Zhao, K. Meng, Optimal Power Sharing Control of Wind Turbines, IEEE Transactions on Power Systems, Vol:32, pp:824-825, 2017.
https://doi.org/10.1109/TPWRS.2016.2549741

P. Babu, D. Hernandez, B. Bandyopadhyay, et al., A Lipschitz Continious Sliding Mode Control for Implicit Systems, European Journal of Control, Vol;67, 2022.
https://doi.org/10.1016/j.ejcon.2022.100661

S.Chehaidia, H. Kherfane, H.Cherif, et al., Robust Nonlinear Terminal Integral Sliding Mode Control for Wind Turbine Considering Incertainties, IFAC-PapersOnLine, Vol :55, pp: 228-233, 2022.
https://doi.org/10.1016/j.ifacol.2022.07.316

Hassan, M., Humaidi, A., Hamza, M., On the Design of Backstepping Controller for Acrobot System Based on Adaptive Observer, (2020) International Review of Electrical Engineering (IREE), 15 (4), pp. 328-335.
https://doi.org/10.15866/iree.v15i4.17827

Jaber, A., Mohammed, K., Shalash, N., Optimization of Electrical Power Systems Using Hybrid PSO-GA Computational Algorithm: a Review, (2020) International Review of Electrical Engineering (IREE), 15 (6), pp. 502-511.
https://doi.org/10.15866/iree.v15i6.18599

Traoré, B., Doumiati, M., Olivier, J., Morel, C., Adaptive Power Sharing Algorithm Combined with Robust Control for a Multi-Source Electric Vehicle: Experimental Validation, (2022) International Review of Electrical Engineering (IREE), 17 (1), pp. 39-53.
https://doi.org/10.15866/iree.v17i1.21269

Massaq, Z., Chbirik, G., Abounada, A., Brahmi, A., Ramzi, M., Control of Photovoltaic Water Pumping System Employing Non-Linear Predictive Control and Fuzzy Logic Control, (2020) International Review on Modelling and Simulations (IREMOS), 13 (6), pp. 373-382.
https://doi.org/10.15866/iremos.v13i6.18615

Dbaghi, Y., Farhat, S., Mediouni, M., Essakhi, H., Comparative Study Between Back-Stepping Control and ANN-Sliding Mode Control of DFIG-Based Wind Turbine System, (2021) International Review on Modelling and Simulations (IREMOS), 14 (4), pp. 261-271.
https://doi.org/10.15866/iremos.v14i4.19376

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