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Energies 2017, 10(1), 112; doi:10.3390/en10010112

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

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
Received: 16 November 2016 / Revised: 5 January 2017 / Accepted: 10 January 2017 / Published: 18 January 2017
(This article belongs to the Collection Smart Grid)
View Full-Text   |   Download PDF [7897 KB, uploaded 18 January 2017]   |  

Abstract

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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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. (CC BY 4.0).

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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.

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