A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter
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 swi...
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MDPI AG
2017-01-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/10/1/112 |
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| author | Yijia Cao Yong Xu Yong Li Jiaqi Yu Jingrong Yu |
| author_facet | Yijia Cao Yong Xu Yong Li Jiaqi Yu Jingrong Yu |
| author_sort | Yijia Cao |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:11:29Z |
| format | Article |
| id | doaj.art-37e344aa5638449d91b95313eac0d069 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T12:11:29Z |
| publishDate | 2017-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-37e344aa5638449d91b95313eac0d0692022-12-22T04:24:36ZengMDPI AGEnergies1996-10732017-01-0110111210.3390/en10010112en10010112A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power FilterYijia Cao0Yong Xu1Yong Li2Jiaqi Yu3Jingrong Yu4College of Electrical and Information Engineering, Hunan University, Changsha 410082, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha 410082, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha 410082, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha 410082, ChinaSchool of information science and engineering, Central South University, Changsha 410083, ChinaThe 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.http://www.mdpi.com/1996-1073/10/1/112Lyapunov stability theoryneutral-point-clamped shunt active power filter (NPC-SAPF)proportional-resonant (PR) controllertotal harmonic distortion (THD) |
| spellingShingle | Yijia Cao Yong Xu Yong Li Jiaqi Yu Jingrong Yu A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter Energies Lyapunov stability theory neutral-point-clamped shunt active power filter (NPC-SAPF) proportional-resonant (PR) controller total harmonic distortion (THD) |
| title | A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter |
| title_full | A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter |
| title_fullStr | A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter |
| title_full_unstemmed | A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter |
| title_short | A Lyapunov Stability Theory-Based Control Strategy for Three-Level Shunt Active Power Filter |
| title_sort | lyapunov stability theory based control strategy for three level shunt active power filter |
| topic | Lyapunov stability theory neutral-point-clamped shunt active power filter (NPC-SAPF) proportional-resonant (PR) controller total harmonic distortion (THD) |
| url | http://www.mdpi.com/1996-1073/10/1/112 |
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