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Open AccessArticle

A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter

by 1, 1, 1,*, 1 and 2
1
College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
2
School of information science and engineering, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Academic Editor: Neville Watson
Energies 2017, 10(1), 112; https://doi.org/10.3390/en10010112
Received: 16 November 2016 / Revised: 5 January 2017 / Accepted: 10 January 2017 / Published: 18 January 2017
(This article belongs to the Collection Smart Grid)
The three-phase three-wire neutral-point-clamped shunt active power filter (NPC-SAPF), which most adopts classical closed-loop feedback control methods such as proportional-integral (PI), proportional-resonant (PR) and repetitive control, can only output 1st–25th harmonic currents with 10–20 kHz switching frequency. The reason for this is that the controller design must make a compromise between system stability and harmonic current compensation ability under the condition of less than 20 kHz switching frequency. To broaden the bandwidth of the compensation current, a Lyapunov stability theory-based control strategy is presented in this paper for NPC-SAPF. The proposed control law is obtained by constructing the switching function on the basis of the mathematical model and the Lyapunov candidate function, which can avoid introducing closed-loop feedback control and keep the system globally asymptotically stable. By means of the proposed method, the NPC-SAPF has compensation ability for the 1st–50th harmonic currents, the total harmonic distortion (THD) and each harmonic content of grid currents satisfy the requirements of IEEE Standard 519-2014. In order to verify the superiority of the proposed control strategy, stability conditions of the proposed strategy and the representative PR controllers are compared. The simulation results in MATLAB/Simulink (MathWorks, Natick, MA, USA) and the experimental results obtained on a 6.6 kVA NPC-SAPF laboratory prototype validate the proposed control strategy. View Full-Text
Keywords: Lyapunov stability theory; neutral-point-clamped shunt active power filter (NPC-SAPF); proportional-resonant (PR) controller; total harmonic distortion (THD) Lyapunov stability theory; neutral-point-clamped shunt active power filter (NPC-SAPF); proportional-resonant (PR) controller; total harmonic distortion (THD)
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MDPI and ACS Style

Cao, Y.; Xu, Y.; Li, Y.; Yu, J.; Yu, J. A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter. Energies 2017, 10, 112. https://doi.org/10.3390/en10010112

AMA Style

Cao Y, Xu Y, Li Y, Yu J, Yu J. A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter. Energies. 2017; 10(1):112. https://doi.org/10.3390/en10010112

Chicago/Turabian Style

Cao, Yijia; Xu, Yong; Li, Yong; Yu, Jiaqi; Yu, Jingrong. 2017. "A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter" Energies 10, no. 1: 112. https://doi.org/10.3390/en10010112

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