Using Fractional-order Technique and Non-linear Surface to Improve the Performance of the Backstepping Control of Multi-rotor Wind Power Systems

Abstract

In this study, an effective solution is given to overcome the drawbacks of backstepping command (BC) for a doubly-fed induction generator based on multi-rotor wind power system, where both fractional calculus and non-linear surface were used for this purpose. This suggested approach differs from the classical BC method and demonstrates strong efficacy, displaying resilience against both external and internal factors of the system. This command was suggested to command the machine-side inverter to increase power quality and reduce steady-state error (SSE). Therefore, the characteristics of this suggested BC were verified compared with the conventional BC method using MATLAB in different operating situations. This proposed strategy demonstrates a distinctive performance in improving system characteristics, as evidenced by the reduction rates compared to the BC technique. Active power undulations were minimized by 47.36% in the first test and 41.74% in the second test compared to BC. Also, The SSE value of reactive power was minimized by approximately 41.66% and 45.83% in both tests compared to the BC strategy. Moreover, the value of harmonic distortion improved significantly compared to the BC, with high ratios estimated at 68.57% and 55.30% in the same testes. These ratios indicate that the current quality is high when the suggested command is used. This indicates that in the future, this control method is poised to become one of the leading solutions trusted in the field of control.

Keywords:

• backstepping control
• doubly-fed induction generator
• fractional calculus
• non-linear surface
• multi-rotor wind power system

Disclosure Statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Habib Benbouhenni

Habib Benbouhenni was born in Chlef, Algeria. He received the Ph.D. degree in electrical engineering from the ENPO-MA, Oran, Algeria. He received a M.A. degree in Automatic and industrial informatics in 2017. He is currently professor with the University of Nisantasi, Turkey. He is editor of seven books and more than 200 papers in scientific fields related to electrical engineering. In recent years, Habib Benbouhenni has served as a committee member of several scientific conferences such as ECAI-2024 and ECA-2023. He is also a committee member of Symmetry and EPCS journals. His research activities include the application of robust control in wind turbine power systems.

Adil Yahdou

Adil Yahdou received his Engineer and M.S. degrees in Electrical Engineering from the Hassiba Benbouali University of Chlef, Algeria, in 2006 and 2011, respectively. He received a PhD in Automatic from Ecole Nationale Polytechnique (ENP), Algiers, Algeria 2017. He is currently an Associate Professor at the Department of Electrical Engineering at Hassiba Benbouali University of Chlef. His research interest includes power electronics, artificial intelligence, application of robust and nonlinear control in electrical machines and wind turbine systems.

Ilhami Colak

Ilhami Colak was born in 1962 in Turkey. He received his diploma in Electrical Engineering from Gazi University, Turkey in 1985. Then he did his MSc in Electrical Engineering in the field of Speed Control of Wound Rotor Induction Machines Using Semiconductor Devices at Gazi University in 1991. After that he did his MPhil at Birmingham University in England by preparing a thesis on High Frequency Resonant DC Link Inverters in 1991. Finally, he did his PhD at Aston University in England on Mixed Frequency Testing of Induction Machines Using Inverters in 1994. He became an assistant professor, an associate professor and a full professor in 1995, 1999 and 2005 respectively. He has published more than 108 journal papers, 239 conference papers, and 7 books in different subjects including electrical machines, drive systems, machine learning, reactive power compensation, inverter, converter, artificial neural networks, distance learning automation and alternating energy sources.

Nicu Bizon

Nicu Bizon (IEEE M’06; SM’16), was born in Albesti de Muscel, Arges county, Romania, 1961. He received the B.S. degree in electronic engineering from the University “Polytechnic” of Bucharest, Romania, in 1986, and the PhD degree in Automatic Systems and Control from the same university, in 1996. From 1996 to 1989, he was in hardware design with the Dacia Renault SA, Romania. He is currently professor with the University of Pitesti, Romania. He received two awards from Romanian Academy, in 2013 and 2016. He is editor of 10 books and more than 500 papers in scientific fields related to Energy. His current research interests include power electronic converters, fuel cell and electric vehicles, renewable energy, energy storage system, microgrids, and control and optimization of these systems.