Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2018, Article ID 7232915, 11 pages
https://doi.org/10.1155/2018/7232915
Research Article

Optimal Decentralized LQR Control to Enhance Multi-Area LFC System Stability

1Electronics and Communications Engineering Department, College of Engineering, Umm Al-Qura University, Al-Lith Branch, Saudi Arabia
2Electrical Engineering Department, Faculty of Engineering, Minia University, Minya, Egypt

Correspondence should be addressed to Ashraf M. Abdelhamid; moc.liamtoh@demfarhsa

Received 12 December 2017; Revised 8 March 2018; Accepted 1 April 2018; Published 12 August 2018

Academic Editor: Yurong Liu

Copyright © 2018 Ashraf M. Abdelhamid and Ahmed A. M. El-Gaafary. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. Zheng, J. Zhou, Y. Xu, Y. Zhang, and Z. Qian, “A distributed model predictive control based load frequency control scheme for multi-area interconnected power system using discrete-time Laguerre functions,” ISA Transactions, vol. 68, pp. 127–140, 2017. View at Publisher · View at Google Scholar · View at Scopus
  2. S. K. Pandey, S. R. Mohanty, and N. Kishor, “A literature survey on load-frequency control for conventional and distribution generation power systems,” Renewable & Sustainable Energy Reviews, vol. 25, pp. 318–334, 2013. View at Publisher · View at Google Scholar · View at Scopus
  3. H. Shayeghi, “A robust decentralized power system load frequency control,” Journal of Electrical Engineering, vol. 59, no. 6, pp. 281–293, 2008. View at Google Scholar · View at Scopus
  4. S. Selvakumarana, S. Parthasarathy R, and V. Rajasekaran, “Optimal decentralized load frequency control in a parallel AC-DC Interconnected power system through HVDC link using PSO algorithm,” Energy Procedia, vol. 14, pp. 1849–1854, 2012. View at Google Scholar
  5. D. Thi-Mai-Phuong, Y. Wang, and N. Ngoc-Khoat, “Novel hybrid load-frequency controller applying artificial intelligence techniques integrated with superconducting magnetic energy storage devices for an interconnected electric power grid,” Arabian Journal for Science and Engineering, vol. 41, no. 9, pp. 3309–3320, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. S. A. Taher, R. Hematti, A. Abdolalipour, and S. H. Tabei, “Optimal decentralized load frequency control using HPSO algorithms in deregulated power systems,” American Journal of Applied Sciences, vol. 5, no. 9, pp. 1167–1174, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Cimen, “Decentralised Hinf load frequency controller design based on SSVs,” Turkish Journal of Electrical Engineering and Computer Science, vol. 8, no. 1, 2000. View at Google Scholar
  8. T. Yang, Z. Ding, and H. Yu, “Decentralised power system load frequency control beyond the limit of diagonal dominance,” International Journal of Electrical Power & Energy Systems, vol. 24, no. 3, pp. 173–184, 2002. View at Publisher · View at Google Scholar
  9. H. Bevrani, Y. Mitani, and K. Tsuji, “Sequential decentralized design of robust load frequency controllers in multiarea power systems,” IFAC Proceedings Volumes, vol. 36, no. 20, pp. 109–114, 2003. View at Publisher · View at Google Scholar
  10. H. Bevrani, Y. Mitani, and K. Tsuji, “Sequential design of decentralized load frequency controllers using μ synthesis and analysis,” Energy Conversion and Management, vol. 45, no. 6, pp. 865–881, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. H. Bevrani, Robust Power System Frequency Control, Springer Science and Business Media, LLC, 2009.
  12. M. Elsisi, M. Soliman, M. A. S. Aboelela, and W. Mansour, “Optimal design of model predictive control with superconducting magnetic energy storage for load frequency control of nonlinear hydrothermal power system using bat inspired algorithm,” Journal of Energy Storage, vol. 12, pp. 311–318, 2017. View at Publisher · View at Google Scholar · View at Scopus
  13. O. A. Solheim, “Design of optimal control systems with prescribed eigenvalues,” International Journal of Control, vol. 15, no. 1, pp. 143–160, 1972. View at Publisher · View at Google Scholar · View at Scopus
  14. V. Kucera and J. Cigler, “Optimal control systems with prescribed eigenvalues,” in Proceedings of the 4th International Symposium on Communications, Control and Signal Processing (ISCCSP 2010), pp. 1–6, Limassol, Cyprus, March 2010. View at Publisher · View at Google Scholar
  15. S. A. Ghoreishi, M. A. Nekoui, and S. O. Basiri, “Optimal design of LQR weighting matrices based on intelligent optimization methods,” International Journal of Intelligent Information Processing, vol. 2, no. 1, pp. 63–74, 2011. View at Publisher · View at Google Scholar
  16. R. M. Stefanescu, C. L. Prioroc, and A. M. Stoica, “Weighting matrices determination using pole placement for tracking maneuvers,” UPB Scientific Bulletin, Series D: Mechanical Engineering, vol. 75, no. 2, pp. 31–40, 2013. View at Google Scholar · View at Scopus
  17. A. Mustafa, K. Munawar, F. M. Malik, M. B. Malik, M. Salman, and S. Amin, “Reduced order observer design with DMPC and LQR for system with backlash nonlinearity,” Arabian Journal for Science & Engineering, vol. 39, no. 8, pp. 6521–6530, 2014. View at Publisher · View at Google Scholar · View at Scopus
  18. D. D. Šiljak and M. B. Vukčević, “Decentralization, stabilization, and estimation of large-scale linear systems,” IEEE Transactions on Automatic Control, vol. 21, no. 3, pp. 363–366, 1976. View at Publisher · View at Google Scholar · View at Scopus
  19. B. Labibi, B. Lohmann, A. Sedigh, and P. Maralani, “Sufficient condition for stability of decentralised control,” IEEE Electronics Letters, vol. 36, no. 6, p. 588, 2000. View at Publisher · View at Google Scholar
  20. V. Kučera, “Decoupling optimal controllers,” in Proceedings of the 18th International Conference on Process Control, pp. 400–407, Tatranská Lomnica, Slovakia, 2011.
  21. N. Kumar, B. Tyagi, and V. Kumar, “Deregulated Multiarea AGC Scheme Using BBBC-FOPID Controller,” Arabian Journal for Science and Engineering, vol. 42, no. 7, pp. 2641–2649, 2017. View at Publisher · View at Google Scholar · View at Scopus