Design of H_∞ Robust Control for Shunt Active Power Filter Based on the Mixed Sensitivity Method

Abstract:

To aim at the characteristic of APF subject to external interference and at model uncertainty，a robust controller has been designed for the active power filter model based on the mixed sensitivity method, which is derived from control theory. We carried out several studies which have demonstrated that the controller is independent on the plant mode and the effect from the system uncertainty and disturbance can be greatly eliminated by the controller ，And thus can ensure both the internal stability and the robustness of the system. The digital simulation can prove the performance of the controller by MATLAB.

• Periodical: Applied Mechanics and Materials (Volumes 128-129)
• Pages: 1392-1398
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.128-129.1392
• Online since: October 2011
• Authors: Chen Xi Jia, Chong Lin Wang, Qian Huang
• Keywords: H_∞ Control, Mixed Sensitivity Method, Robustness, Shunt Active Power Filter

References

[1] Akagi H, New trends in active filter for power conditioning, IEEE Trans. Industry Applications, vol. 32, pp.1312-1322, November. (1996).

DOI: 10.1109/28.556633

[2] Singh B, Al-Haddad K, Chandra A, A review of active filters for power quality improvement, IEEE Trans. Industry Applications, vol. 46, pp.960-971, October. (1996).

DOI: 10.1109/41.793345

[3] C. Dewez, New complex Frame to Model and Control an Active Filter, Proceedings of the 2005 American Control Conference, vol. 4, pp.733-738, June (2005).

DOI: 10.1109/acc.2005.1470382

[4] Zeng Jiang, Jiao Lianwei, Ni Yixin, A New Current Control Method for Active Power Filters with Constant Switch Frequency, Power System Technology, vol. 24, pp.1-8, June. (2002).

DOI: 10.1109/ipemc.2000.884582

[5] Tong Mei, Xiang Ji, Variable Structure Control for a Hybrid Power Filter, Transactions of China Electrotechnical Society, vol. 17, pp.59-63, January. (2002).

[6] Zhong Qing, Wu Jie, Yang Jinming, Passivity-based control of the shunt active power filters, Control and Decision, vol. 19, pp.77-80, January. (2004).

[7] C. Tuttas, Compensation of capacitive loads by a voltage source active filter, Proceedings of the IEEE , vol. 2, pp.15-19, December. (1992).

[8] J.C. Doyle, K. Glover, State-space solutions to standard and control problem, IEEE Trans. Automatic Control, vol. 34, pp.831-847, August. (1989).

DOI: 10.1109/9.29425

[9] G.J. Balas, J.C. Doyle, K. Glover, A. Packard, R. Smith, -analysis and synthesis toolbox, The Maths Works, vol. 56, pp.281-288, August (1992).