Control Design for the Ward–Leonard System in Wind Turbines
Received: 20 October 2022 | Revised: 3 November 2022 and 13 November 2022 | Accepted: 15 November 2022 | Online: 5 February 2023
Corresponding author: Huy Hai Bui
Abstract
A robust optimal controller for the Ward-Leonard system in a wind turbine is used to meet the performance and stability requirements when the system parameters change. However, designing according to the robust optimal method often leads to a high-order controller. This study investigated the application of order reduction algorithms to simplify the controller and help it better meet the real control problem. Comparative evaluation of the order reduction controller methods showed that the second-order reduction controller according to Moore's balanced truncation algorithm was the most suitable to replace the higher-order controller. The step response quality of the system was better when using a second-order reduction controller than a higher-order controller.
Keywords:
wind tube system, model order reduction, Ward–Leonard system, robust optimal controlDownloads
References
E. A. Al-Ammar, N. H. Malik, and M. Usman, "Application of using Hybrid Renewable Energy in Saudi Arabia," Engineering, Technology & Applied Science Research, vol. 1, no. 4, pp. 84–89, Aug. 2011. DOI: https://doi.org/10.48084/etasr.33
B. Memon, M. H. Baloch, A. H. Memon, S. H. Qazi, R. Haider, and D. Ishak, "Assessment of Wind Power Potential Based on Raleigh Distribution Model: An Experimental Investigation for Coastal Zone," Engineering, Technology & Applied Science Research, vol. 9, no. 1, pp. 3721–3725, Feb. 2019. DOI: https://doi.org/10.48084/etasr.2381
M. Hussain, M. H. Baloch, A. H. Memon, and N. K. Pathan, "Maximum Power Tracking System Based on Power Electronic Topology for Wind Energy Conversion System Applications," Engineering, Technology & Applied Science Research, vol. 8, no. 5, pp. 3392–3397, Oct. 2018. DOI: https://doi.org/10.48084/etasr.2251
M. Aien, R. Ramezani, and S. M. Ghavami, "Probabilistic Load Flow Considering Wind Generation Uncertainty," Engineering, Technology & Applied Science Research, vol. 1, no. 5, pp. 126–132, Oct. 2011. DOI: https://doi.org/10.48084/etasr.64
J. B. V. Subrahmanyam, P. Alluvada, Bandana, K. Bhanupriya, and C. Shashidhar, "Renewable Energy Systems: Development and Perspectives of a Hybrid Solar-Wind System," Engineering, Technology & Applied Science Research, vol. 2, no. 1, pp. 177–181, Feb. 2012. DOI: https://doi.org/10.48084/etasr.104
S. H. E. Osman, G. K. Irungu, and D. K. Murage, "Application of FVSI, Lmn and CPF Techniques for Proper Positioning of FACTS Devices and SCIG Wind Turbine Integrated to a Distributed Network for Voltage Stability Enhancement," Engineering, Technology & Applied Science Research, vol. 9, no. 5, pp. 4824–4829, Oct. 2019. DOI: https://doi.org/10.48084/etasr.3101
M. F. Basar, A. M. Norazizi, I. Mustaffa, C. T. Colin, S. N. S. Mirin, and Z. Jano, "Investigation on the Performance of a Portable Power Generation System with a Low-Cost Vertical Axis Wind Turbine," Engineering, Technology & Applied Science Research, vol. 11, no. 6, pp. 7809–7813, Dec. 2021. DOI: https://doi.org/10.48084/etasr.4454
S. M. Ghania, K. R. M. Mahmoud, and A. M. Hashmi, "Α Reliability Study of Renewable Energy Resources and their Integration with Utility Grids," Engineering, Technology & Applied Science Research, vol. 12, no. 5, pp. 9078–9086, Oct. 2022. DOI: https://doi.org/10.48084/etasr.5090
M. A. Khlifi, A. Alkassem, and A. Draou, "Performance Analysis of a Hybrid Microgrid with Energy Management," Engineering, Technology & Applied Science Research, vol. 12, no. 3, pp. 8634–8639, Jun. 2022. DOI: https://doi.org/10.48084/etasr.4873
E. M. Mekheal, M. Zakaria, R. A. Hamdy, and Medhat. I. El Singaby, "Design of Low Order Robust Controller Using the Artificial Bee Colony Algorithm," in 2019 10th International Renewable Energy Congress (IREC), Sousse, Tunisia, Mar. 2019, pp. 1–6. DOI: https://doi.org/10.1109/IREC.2019.8754561
E. mekheal, M. i. El-Singaby, and A. Khalil, "Robust Controller Design Using H/sub ∞/Loop-Shaping and Method of Inequalities," in 2006 IEEE International Symposium on Industrial Electronics, Montreal, Canada, Jul. 2006, vol. 1, pp. 118–123. DOI: https://doi.org/10.1109/ISIE.2006.295578
K. Zhou and J. C. Doyle, Essentials of Robust Control, 1st edition. Upper Saddle River, NJ, USA: Prentice Hall, 1997.
N. K. Vu and H. Q. Nguyen, "Balancing Control of Two-Wheel Bicycle Problems," Mathematical Problems in Engineering, vol. 2020, Jul. 2020, Art. no. e6724382. DOI: https://doi.org/10.1155/2020/6724382
V. N. Kien, N. H. Trung, and N. H. Quang, "Design Low Order Robust Controller for the Generator’s Rotor Angle Stabilization PSS System," Emerging Science Journal, vol. 5, no. 5, pp. 598–618, Oct. 2021. DOI: https://doi.org/10.28991/esj-2021-01299
B. T. Thanh and M. Parnichkun, "Balancing Control of Bicyrobo by Particle Swarm Optimization-Based Structure-Specified Mixed H2/H∞ Control," International Journal of Advanced Robotic Systems, vol. 5, no. 4, p. 39, Nov. 2008. DOI: https://doi.org/10.5772/6235
V. N. Kien, N. H. Quang, and N. K. Trung, "Application of model reduction for robust control of self-balancing two-wheeled bicycle," TELKOMNIKA (Telecommunication Computing Electronics and Control), vol. 19, no. 1, pp. 252–264, Feb. 2021. DOI: https://doi.org/10.12928/telkomnika.v19i1.16298
E. Jonckheere and L. Silverman, "A new set of invariants for linear systems–Application to reduced order compensator design," IEEE Transactions on Automatic Control, vol. 28, no. 10, pp. 953–964, Oct. 1983. DOI: https://doi.org/10.1109/TAC.1983.1103159
Yi Liu and Brian O. D. Anderson, "Singular perturbation approximation of balanced systems," International Journal of Control, vol. 50, no. 4, pp. 1379–1405, Oct. 1989. DOI: https://doi.org/10.1080/00207178908953437
Downloads
How to Cite
License
Copyright (c) 2022 Huy Hai Bui
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.