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Journal of Control Science and Engineering
Volume 2017 (2017), Article ID 7410392, 10 pages
Research Article

Nonlinear Control of Back-to-Back VSC-HVDC System via Command-Filter Backstepping

1Institute of Electrical Engineering and Intelligent Equipment, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China
2School of Electric Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China
3Center of Power Grid Technology, State Grid Jiangsu Electric Power Company Research Institute, Nanjing 211103, China

Correspondence should be addressed to Dezhi Xu

Received 30 October 2016; Revised 7 January 2017; Accepted 9 February 2017; Published 26 February 2017

Academic Editor: Jose F. Silva

Copyright © 2017 Jie Huang et al. 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.


This paper proposed a command-filtered backstepping controller to improve the dynamic performance of back-to-back voltage-source-converter high voltage direct current (BTB VSC-HVDC). First, the principle and model of BTB VSC-HVDC in and frame are described. Then, backstepping method is applied to design a controller to maintain the voltage balance and realize coordinated control of active and reactive power. Meanwhile, command filter is introduced to deal with the problem of input saturation and explosion of complexity in conventional backstepping, and a filter compensation signal is designed to diminish the adverse effects caused by the command filter. Next, the stability and convergence of the whole system are proved via the Lyapunov theorem of asymptotic stability. Finally, simulation results are given to demonstrate that proposed controller has a better dynamic performance and stronger robustness compared to the traditional PID algorithm, which also proves the effectiveness and possibility of the designed controller.