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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yijia Cao & Yong Xu & Yong Li & Jiaqi Yu & Jingrong Yu, 2017. "A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter," Energies, MDPI, vol. 10(1), pages 1-19, January.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:1:p:112-:d:88147
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    Cited by:

    1. Constantin Voloşencu, 2021. "Stability Analysis of Systems with Fuzzy PI Controllers Applied to Electric Drives," Mathematics, MDPI, vol. 9(11), pages 1-32, May.
    2. Tao Li & Qiming Cheng & Weisha Sun & Lu Chen, 2017. "Grid-Connected Control Strategy of Five-level Inverter Based on Passive E-L Model," Energies, MDPI, vol. 10(10), pages 1-14, October.

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