On the Stabilization and Stability Domain Estimation of VSC-HVDC Transmission Systems

References

• Cigré. “VSC Transmission,” Working Group B4.37, April. 2005.
   Google Scholar
• B. K. Bose, “Evolution of power semiconductor devices in the modern Era and trend of converters,” IETE. J. Res., Vol. 37, no. 1, pp. 3–16, Jun. 1991. doi: 10.1080/03772063.1991.11436932
   Google Scholar
• G. Kumar Kasal, and B. Singh, “T-connected transformer with a voltage source converter for voltage control of an isolated asynchronous generator,” IETE. J. Res., Vol. 57, no. 5, pp. 436–0, Sept. 2011.
   Web of Science ®Google Scholar
• H. Chen, Z. Xu, and F. Zhang, “Nonlinear control for VSC based HVDC system,” in IEEE power Engineering Society General Meeting, Montreal, Quebec, June 18–22, 2006.
   Google Scholar
• G. Li, G. Ma, C. Zhao, and G. Li, “Research of nonlinear control strategy for VSCHVDC system based on Lyapunov stability theory,” in Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies, Nanjing, China, April 6–9, 2008, pp. 2187–91.
   Google Scholar
• L. Weimers, “HVDC light: a new technology for a better environment,” IEEE Power Eng. Rev., Vol. 18, no. 8, pp. 19–20, Aug. 1998. doi: 10.1109/MPER.1998.691411
   Google Scholar
• J. Setréus, and L. Bertling, “State feedback robust H∞ controller for transient stability enhancement of VSC-HVDC transmission systems,” in 2nd international Conference on Computer, Communication, Control and Information Technology (C3IT-2012), Hooghly, West Bengal, India, February 25–26, 2012.
   Google Scholar
• W. Liu, and Z. Cai, “Model analysis and robust control design of VSC-HVDC converter with dq0 axis,” in Third international Conference on Electric Utility Deregulation and Restructuring and Power Technologies, Nanjing, China, April 6–9, 2008, pp. 1792–1796.
   Google Scholar
• V. K. Sood, N. Kandil, R. V. Patel, and K. Khorasani, “Comparative evaluation of neural-network-based and PI controllers for HVDC transmission,” IEEE Trans. Power Electron., Vol. 9, no. 3, pp. 288–96, May 1994. doi: 10.1109/63.311262
   Web of Science ®Google Scholar
• P. Kundur. Power system stability and control. New York: McGraw-Hill Inc., 1993.
   Google Scholar
• X. Y. Li. Operation and control of HVDC transmission systems. Beijing: Science Press, 1998.
   Google Scholar
• H. S. Ramadan, H. Siguerdidjane, and M. Petit, “Robust nonlinear control strategy for HVDC light transmission systems technology,” in 34th Annual Conference of the IEEE Industrial Electronics Society (IECON), USA, November 10–13, 2008.
   Google Scholar
• P. K. Dash, R. K. Mallick, and A. K. Moharana, “Design of a robust multivariable controller for an AC-VSC-HVDC system,” Int. J. Electr. Power Eng., Vol. 4, no. 3, pp. 182–92, 2010. doi: 10.3923/ijepe.2010.182.192
   Google Scholar
• A. Moharana, and P. K. Dash, “Input–output linearization and robust sliding-mode controller for the VSC-HVDC transmission link,” IEEE Trans. Power Delivery, Vol. 25, no. 3, pp. 1952–61, July 2010. doi: 10.1109/TPWRD.2010.2042469
   Web of Science ®Google Scholar
• M. S. Sachdev, R. J. Fleming, and J. Chand, “Optimal control of a HVDC transmission link,” IEEE Trans. Power Appar. Syst., Vol. PAS-92, no. 6, pp. 1958–65, Nov. 1973. doi: 10.1109/TPAS.1973.293575
   Web of Science ®Google Scholar
• J. Reeve, and M. Sultan, “Gain scheduling adaptive control strategies for HVDC systems to accommodate large disturbances,” IEEE Trans. Power Syst., Vol. 9, no. 1, pp. 366–72, Feb. 1994. doi: 10.1109/59.317589
   Web of Science ®Google Scholar
• S. Ruan, G. J. Li, X. H. Jiao, Y. Z. Sun, and T. T. Lie, “Adaptive control design for VSC-HVDC systems based on backstepping method,” IEEE Electr. Power Syst. Res., Vol. 77, no. 5–6, pp. 559–65, April 2007. doi: 10.1016/j.epsr.2006.05.006
   Web of Science ®Google Scholar
• P. K. Dash, A. Routray, and S. Mishra, “A neural network based feedback linearising controller for HVDC links,” Electr. Power Syst. Res., Vol. 50, no. 2, pp. 125–32, 18 May 1999. doi: 10.1016/S0378-7796(98)00141-2
   Web of Science ®Google Scholar
• A. K. Moharana, K. Panigrahi, B. K. Panigrahi, and P. K. Dash, “VSC based HVDC system for passive network with fuzzy controller,” in International Conference on Power Electronics, Drives and Energy Systems, New Delhi, India, December 12–15, 2006.
   Google Scholar
• Y. Chen, J. Dai, G. Damm, and F. Lamnabhi-Lagarrigue, “Nonlinear control design for a multi-terminal VSC-HVDC system,” in European Control Conference (ECC), Zürich, Switzerland, July 17–19, 2013.
   Google Scholar
• M. M. Belhaouane, M. Ayari, N. Benhadj Braiek, and X. Guillaud, “Nonlinear modeling and control of a VSC-HVDC transmission systems,” in 24th Mediterranean Conference on Control and Automation (MED), Athens, Greece, June 21–24, 2016.
   Google Scholar
• M. Ayari, M. M. Belhaouane, C. Jammazi, N. Benhadj Braiek, and X. Guillaud, “On the backstepping approach for VSC-HVDC and VSCMTDC transmission systems,” Electr. Power Compon. Syst., Vol. 45, no. 5, pp. 520–33, 2017. doi: 10.1080/15325008.2017.1289571
   Web of Science ®Google Scholar
• J. L. Thomas, S. Poullain, and A. Benchaib, “Analysis of a robust DC–bus voltage control system for a VSC transmission scheme,” in Seventh International Conference on AC–DC Power Transmission, London, UK, November 28–30, 2001, pp. 119–124.
   Google Scholar
• M. Ayari, M. M. Belhaouane, and N. Benhadj Braiek, “Optimal control design of voltage source converter using bilinear state–space representation,” in 4th International Conference on Systems and Control, Sousse, Tunisia, April 28–30, 2015.
   Google Scholar
• E. Benhadj Braiek, “A Kronecker product approach of stability domain determination for nonlinear continuous systems,” J. Syste. Anal. Modell. Simul. (SAMS) Syst., Vol. 22, no. 1, pp. 11–6, 1996.
   Google Scholar
• J. R. Magnus, and H. Neudecker, “Symmetry 0–1 matrices and Jacobians: a review,” Econ. Theory., Vol. 2, no. 2, pp. 157–90, 1986. doi: 10.1017/S0266466600011476
   Google Scholar
• J. F. Brewer, “Kronecker products and matrix calculus in system theory,” IEEE Trans. Circuits Syst., Vol. 25, no. 9, pp. 772–81, Sep. 1978. doi: 10.1109/TCS.1978.1084534
   Google Scholar
• M. M. Belhaouane, R. Mtar, H. B. Ayadi, and N. Benhadj Braiek, “An LMI technique for the global stabilization of nonlinear polynomial systems,” Int. J. Comput. Commun. Control, Vol. 4, no. 4, pp. 348–348, 2009. doi: 10.15837/ijccc.2009.4.2451
   Web of Science ®Google Scholar
• M. Ayari, M. M. Belhaouane, X. Guillaud, and N. Benhadj Braiek, “Global advanced control strategy for Modular Multilevel Converter integrated in a HVDC link,” Int. Trans. Electr. Energy Syst. Jan. 2018. DOI:10.1002/etep.2511.
   Web of Science ®Google Scholar