Nonlinear Lyapunov-Based Stable Control Method of the Single-Phase Shunt Active Power Filter

Abstract:

This paper proposes a nonlinear Lyapunov-based control method of the single-phase shunt active power filter (APF). The system is modeled firstly and then the compensated current of the APF is calculated. The energetic like Lyapunov function is constructed and the control output is determined through ensuring the differential of the Lyapunov function negative, which grantee the convergence of the APF system. Considering that the time-varying load may cause greater fluctuations in DC voltage, an average value is used to calculate the control output. A globally stable control is possible and it is insensitive to the parameter uncertainties and robustness to the disturbances. Simulation results are obtained using Matlab/ Simulink. These results verify the correct operation of the proposed control method.

• Periodical: Advanced Materials Research (Volumes 354-355)
• Pages: 1390-1393
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.354-355.1390
• Online since: October 2011
• Authors: Lan Fang Li, Hong Geng Yang, Wei Ming Guo, Ya Mei Liu, Fang Wei Xu, Wei Gong
• Keywords: Active Power Filter (APF), Lyapunov-Based Control, Robustness, Stable Control

References

[1] Green TC and Marks JH: IEE Proc. Electr. Power Appl. Vol. 152 (2005), p.369

[2] Zhang Zhenhuan and Liu Huijin: Proceedings of the CSEE Vol.28 (2008), p.79 (In Chinese)

[3] Suxia Jiang, Guangzhao Cui, Lingzhi Cao, and Chunwen Li: Proceedings of the 7th World Congress on Intelligent Control and Automation (2008), p.4639

DOI: 10.1109/wcica.2008.4593672

[4] Akshaya Moharana and P. K. Dash: IEEE Trans. Power Delivery Vol. 25 (2010), p.(1952)

[5] Hasan Kömürcügil and Ösman Kükrer: IEEE Trans. Ind. Electron. Vol. 53 (2006) p.305

[6] Hou Shiying, Zeng Jianxing, Sun Tao and Liu Zaochen: Electric Power Automation Equipment Vol. 30 (2010), p.33 (In Chinese)