Version 1
: Received: 22 October 2024 / Approved: 22 October 2024 / Online: 22 October 2024 (12:26:00 CEST)
How to cite:
Luo, W.; Zhang, R.; Zhang, J.; Wu, L.; Vazquez, S.; Franquelo, L. G. Control of three-phase two-level inverters: A stochastic LPV model approach. Preprints2024, 2024101721. https://doi.org/10.20944/preprints202410.1721.v1
Luo, W.; Zhang, R.; Zhang, J.; Wu, L.; Vazquez, S.; Franquelo, L. G. Control of three-phase two-level inverters: A stochastic LPV model approach. Preprints 2024, 2024101721. https://doi.org/10.20944/preprints202410.1721.v1
Luo, W.; Zhang, R.; Zhang, J.; Wu, L.; Vazquez, S.; Franquelo, L. G. Control of three-phase two-level inverters: A stochastic LPV model approach. Preprints2024, 2024101721. https://doi.org/10.20944/preprints202410.1721.v1
APA Style
Luo, W., Zhang, R., Zhang, J., Wu, L., Vazquez, S., & Franquelo, L. G. (2024). Control of three-phase two-level inverters: A stochastic LPV model approach. Preprints. https://doi.org/10.20944/preprints202410.1721.v1
Chicago/Turabian Style
Luo, W., Sergio Vazquez and Leopoldo G. Franquelo. 2024 "Control of three-phase two-level inverters: A stochastic LPV model approach" Preprints. https://doi.org/10.20944/preprints202410.1721.v1
Abstract
This paper aims to propose 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. The stability analysis and control synthesis are conducted for the LPV system. With parameter-dependent Lyapunov functionals, the sufficient stability condition 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 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.
Keywords
Three-phase two-level inverter; linear parameter varying (LPV) system; stochastic system; time delay; mean square stability
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
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.
