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

Yijia Cao, Yong Xu, Yong Li, Jiaqi Yu and Jingrong Yu
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Yijia Cao: College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
Yong Xu: College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
Yong Li: College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
Jiaqi Yu: College of Electrical and Information Engineering, Hunan University, Changsha 410082, China
Jingrong Yu: School of information science and engineering, Central South University, Changsha 410083, China

Energies, 2017, vol. 10, issue 1, 1-19

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.

Keywords: Lyapunov stability theory; neutral-point-clamped shunt active power filter (NPC-SAPF); proportional-resonant (PR) controller; total harmonic distortion ( THD ) (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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