Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach
This paper proposes a stochastic linear parameter-varying (LPV) model approach to design a state feedback controller for three-phase, two-level inverters. To deal with the parameter changes, stochastic noise, and delays faced by the inverter, it is modeled as a stochastic LPV system with time delay....
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/17/23/6142 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850260845874905088 |
|---|---|
| author | Wensheng Luo Ruifang Zhang Jianwen Zhang Ligang Wu Sergio Vazquez Leopoldo G. Franquelo |
| author_facet | Wensheng Luo Ruifang Zhang Jianwen Zhang Ligang Wu Sergio Vazquez Leopoldo G. Franquelo |
| author_sort | Wensheng Luo |
| collection | DOAJ |
| description | This paper proposes a stochastic linear parameter-varying (LPV) model approach to design a state feedback controller for three-phase, two-level inverters. To deal with the parameter changes, stochastic noise, and delays faced by the inverter, it is modeled as a stochastic LPV system with time delay. Stability analysis and control synthesis are conducted for the LPV system. With parameter-dependent Lyapunov functionals, a condition of sufficient stability for asymptotical mean-square stability is obtained. In addition, the slack matrix technique is employed to improve the feasibility and reduce the conservatism of the conditions. The obtained theoretical results are applied to the three-phase, two-level inverter, whose currents are treated as state variables and are controlled to reach the equilibrium point. The simulation results validate the effectiveness of the proposed theories and demonstrate the advantages of using the slack matrix. |
| format | Article |
| id | doaj-art-2c2406cbfba54b51a1791b594d38cf87 |
| institution | OA Journals |
| issn | 1996-1073 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj-art-2c2406cbfba54b51a1791b594d38cf872025-08-20T01:55:33ZengMDPI AGEnergies1996-10732024-12-011723614210.3390/en17236142Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model ApproachWensheng Luo0Ruifang Zhang1Jianwen Zhang2Ligang Wu3Sergio Vazquez4Leopoldo G. Franquelo5School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Engineering, University of Seville, 41092 Seville, SpainSchool of Engineering, University of Seville, 41092 Seville, SpainThis paper proposes a stochastic linear parameter-varying (LPV) model approach to design a state feedback controller for three-phase, two-level inverters. To deal with the parameter changes, stochastic noise, and delays faced by the inverter, it is modeled as a stochastic LPV system with time delay. Stability analysis and control synthesis are conducted for the LPV system. With parameter-dependent Lyapunov functionals, a condition of sufficient stability for asymptotical mean-square stability is obtained. In addition, the slack matrix technique is employed to improve the feasibility and reduce the conservatism of the conditions. The obtained theoretical results are applied to the three-phase, two-level inverter, whose currents are treated as state variables and are controlled to reach the equilibrium point. The simulation results validate the effectiveness of the proposed theories and demonstrate the advantages of using the slack matrix.https://www.mdpi.com/1996-1073/17/23/6142three-phase two-level inverterlinear parameter-varying (LPV) systemstochastic systemtime delaymean square stability |
| spellingShingle | Wensheng Luo Ruifang Zhang Jianwen Zhang Ligang Wu Sergio Vazquez Leopoldo G. Franquelo Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach Energies three-phase two-level inverter linear parameter-varying (LPV) system stochastic system time delay mean square stability |
| title | Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach |
| title_full | Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach |
| title_fullStr | Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach |
| title_full_unstemmed | Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach |
| title_short | Control of Three-Phase Two-Level Inverters: A Stochastic LPV Model Approach |
| title_sort | control of three phase two level inverters a stochastic lpv model approach |
| topic | three-phase two-level inverter linear parameter-varying (LPV) system stochastic system time delay mean square stability |
| url | https://www.mdpi.com/1996-1073/17/23/6142 |
| work_keys_str_mv | AT wenshengluo controlofthreephasetwolevelinvertersastochasticlpvmodelapproach AT ruifangzhang controlofthreephasetwolevelinvertersastochasticlpvmodelapproach AT jianwenzhang controlofthreephasetwolevelinvertersastochasticlpvmodelapproach AT ligangwu controlofthreephasetwolevelinvertersastochasticlpvmodelapproach AT sergiovazquez controlofthreephasetwolevelinvertersastochasticlpvmodelapproach AT leopoldogfranquelo controlofthreephasetwolevelinvertersastochasticlpvmodelapproach |