Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design
Abstract
:1. Introduction
2. Preliminaries and D-PMSG Mathematical Model
2.1. Preliminaries
- (1).
- (2).
- (3).
2.2. Integer-Order Nonlinear Mathematical Model
2.3. Fractional-Order Nonlinear Mathematical Model
2.4. Fractional-Order T-S Fuzzy Model
3. Fuzzy Chaos Control for Fractional-Order D-PMSG
3.1. Fuzzy State Feedback Controller Scheme
3.2. Mittag–Leffler Stability
4. Simulation Results
4.1. Simulation Parameters
System Parameter | Symbol | Unit | Value |
---|---|---|---|
Direct/Quadrature inductance | mH | vary | |
Stator resistance | R | Ω | 1.14 |
Permanent magnet flux-linkage | mWb | vary | |
Moment of inertia | kg⋅m2 | 0.089 | |
Pole pairs | number | 17 |
4.2. System Simulation Experiment
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
Abbreviations
D-PMSG | direct-drive permanent magnet synchronous generator |
T-S | Takagi–Sugeno |
FONSs | fractional order nonlinear systems |
FLST | fractional Lyapunov stability theory |
PDC | parallel distributed compensation |
LMIs FONS | linear matrix inequalities fractional order nonlinear system |
EPHA | European Public Health Alliance |
GWEC | Global Wind Energy Council |
WTSs | wind turbine systems |
DFIG | doubly-fed induction generator |
PMSG | permanent magnet synchronous generator |
PMSM | permanent magnet synchronous motor |
WTNS WECSs | wind turbine nonlinear system wind energy conversion systems |
FOLDM | fractional order Lyapunov direct method |
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Yang, L.; Yang, F.; Sheng, W.; Zhou, K.; Huang, T. Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design. Energies 2021, 14, 7369. https://doi.org/10.3390/en14217369
Yang L, Yang F, Sheng W, Zhou K, Huang T. Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design. Energies. 2021; 14(21):7369. https://doi.org/10.3390/en14217369
Chicago/Turabian StyleYang, Li, Fuzhao Yang, Weitao Sheng, Kun Zhou, and Tianmin Huang. 2021. "Fuzzy Chaos Control of Fractional Order D-PMSG for Wind Turbine with Uncertain Parameters by State Feedback Design" Energies 14, no. 21: 7369. https://doi.org/10.3390/en14217369