H∞ FAULT-TOLERANT GUARANTEED COST CONTROL FOR WIND ENERGY CONVERSION SYSTEM BASED ON SINGULAR PERTURBATION MODEL

Jiang Ping; Li Mengyao; Wang Peiguang; Fu Lei; Zhang Zhaoyan

doi:10.19912/j.0254-0096.tynxb.2022-0721

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Acta Energiae Solaris Sinica ›› 2023, Vol. 44 ›› Issue (9) : 326-333. DOI: 10.19912/j.0254-0096.tynxb.2022-0721

H∞ FAULT-TOLERANT GUARANTEED COST CONTROL FOR WIND ENERGY CONVERSION SYSTEM BASED ON SINGULAR PERTURBATION MODEL

Jiang Ping, Li Mengyao, Wang Peiguang, Fu Lei, Zhang Zhaoyan

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Abstract

In the process of wind energy conversion, a H∞ optimal fault-tolerant performance controller was designed to solve the problem of actuator failure and high cost of fault-tolerant control, and a PI observer was proposed to get the fault diagnosis. First, the deficiencies such as time delay, parameter uncertainty and actuator failure in wind power systems are expressed by the singular perturbed linear parameter varying（LPV） model. Second, a PI observer is designed for actuator fault reconstruction, under the dual constraints of H∞ performance index and cost performance index, the feedback gain of the optimal guaranteed cost fault-tolerant control law is wrought out by solving the convex optimization problem. Simulation results show that at low wind speed, the controller can effectively track the optimal rotor speed and achieve the maximum wind energy capture.

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wind power / singularly perturbed systems / fault tolerance / robustness / guaranteed cost control

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Jiang Ping, Li Mengyao, Wang Peiguang, Fu Lei, Zhang Zhaoyan. H∞ FAULT-TOLERANT GUARANTEED COST CONTROL FOR WIND ENERGY CONVERSION SYSTEM BASED ON SINGULAR PERTURBATION MODEL[J]. Acta Energiae Solaris Sinica. 2023, 44(9): 326-333 https://doi.org/10.19912/j.0254-0096.tynxb.2022-0721

References

[1] MODUGULA S R.Decouple and control strategy for variable speed variable pitch wind energy conversion system[D]. Minneapolis:University of Minnesota 2018.
[2] 郑洋, 吴定会, 纪志成. 最大功率捕获下风力机LPV控制器设计[J]. 系统仿真学报, 2019, 31(5): 955-962.
ZHENG Y, WU D H, JI Z C.LPV controller design of wind turbine with maximum power point tracking[J]. Journal of system simulation, 2019, 31(5): 955-962.
[3] SCORLETTI G, FROMION V.A unified approach to time-delay system control: robust and gain-scheduled[C]//Proceedcngs of the 1998 American Control Conference, IEEE. Philadelphia, PA, USA, 2002: 2391-2395.
[4] 张雷, 李海东, 李建林, 等. 基于LQR方法的风电机组变桨距控制的动态建模与仿真分析[J]. 太阳能学报, 2008, 29(7): 781-785.
ZHANG L, LI H D, LI J L, et al.Dynamic modeling and simulation of pitch control strategy for wind turbine baseds on LQR method[J]. Acta energiae solaris sinica, 2008, 29(7): 781-785.
[5] BELTRAN B, AHMED-ALI T, BENBOUZID M E H. Sliding mode power control of variable speed wind energy conversion systems[C]//2007 IEEE International Electric Machines Drives Conference. Antalya, Tukey, 2007: 943-948.
[6] GHAFFARI A, KRSTIC M, SESHAGIRI S.Power optimization and control in wind energy conversion systems using extremum seeking[C]//2013 American Control Conference. Washington DL, USA, 2013: 2241-2246.
[7] ROCHA R, COUTINHD G A, FERREIRA A J, et al.Multivariable H₂ and H₀₀ control for a wind energy conversion system: a comparison[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2010, 32(4): 510-518.
[8] 张艳. 几类非线性奇异摄动系统的稳定性分析与控制[D]. 南京: 南京理工大学, 2015.
ZHANG Y.Analysis and synthesis of several classes of singularly perturbed systems[D]. Nanjing: Nanjing University of Science and Technology, 2015.
[9] WANG J Q, ZOU Z J, WANG T.Path following of a surface ship sailing in restricted waters under wind effect using robust H₀₀ guaranteed cost control[J]. International journal of naval architecture and ocean engineering, 2018, 11(1): 606-623.
[10] 霍现旭, 李秉昀, 陈培育, 等. 双馈风电机组的自适应神经网络保性能虚拟同步机控制[J]. 信息与控制, 2019, 48(5): 612-618, 626.
HUO X X, LI B Y, CHEN P Y, et al.Adaptive neural performance - guaranteed VSG control for DFIG - based wind power generators[J]. Information and control, 2019, 48(5): 612-618, 626.
[11] KAMAL E, AITOUCHE A, GHORBANI R, et al.Robust fuzzy fault-tolerant control of wind energy conversion systems subject to sensor faults[J]. IEEE transactions on sustainable energy, 2012, 3(2): 231-241.
[12] 张晓林. 风能转换系统LPV容错控制方法研究[D]. 无锡: 江南大学, 2017.
ZHANG X L.Research on LPV fault-tolerant control method for wind energy conversion system[D]. Wuxi:Jiangnan University, 2017.
[13] 刘蕾, 闫晓峰, 韩存武, 等. 基于PI观测器的奇异摄动系统故障诊断和最优容错控制[J]. 控制与决策, 2016, 31(10): 1867-1872.
LIU L, YAN X F, HAN C W, et al.Fault diagnosis and optimal fault-tolerance control of singularly perturbed system based on PI observer[J]. Control and decision, 2016, 31(10): 1867-1872.
[14] PEREZESTRADA A J, OSORIOGORDILLO G L, ALMA M, et al.H₀₀ Generalized dynamic unknown inputs observer design for discrete LPV systems. application to wind turbine[J]. European journal of control, 2018, 44: 40-49.
[15] IBANEZ, INTHAMOUSSOU F A, DEBATTISTA H. Wind turbine load analysis of a full range LPV controller[J]. Renewable energy, 2020, 145: 2741-2753.
[16] 史运涛, 侯彦娇, 孙德辉, 等. 风能转换系统随机建模与H₀₀容错控制[J]. 电机与控制学报, 2015, 19(3): 100-110.
SHI Y T, HOU Y J, SUN D H, et al.Stochastic modelling and H₀₀ fault tolerance control of WECS[J]. Electric machines and control, 2015, 19(3): 100-110.