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A Fault Tolerant Control Approach to Sustainable Offshore Wind Turbines

  • Montadher Sami ShakerEmail author
  • Ron J. Patton
Chapter
Part of the Advances in Industrial Control book series (AIC)

Abstract

The main challenges for the deployment of wind turbine systems are to maximise the amount of good quality electrical power extracted from wind energy. This must be ensured over a significantly wide range of weather conditions simultaneously with minimising both manufacturing and maintenance costs. In consequence to this, the fault tolerant control (FTC) and fault detection and diagnosis (FDD) research have witnessed a steady increase in interest in this application area as an approach to maintain system sustainability with more focus on offshore wind turbines (OWTs) projects. This chapter focuses on investigations of different aspects of operation and control of wind turbine systems and the proposal of a new FTC approach to sustainable OWTs. A typical non-linear state space model of a wind turbine system is described and a Takagi-Sugeno (T-S) fuzzy model of this system is also presented. A new approach to active sensor fault tolerant tracking control (FTTC) for OWT described via T-S multiple models. The FTTC strategy is designed in such way that aims to maintaining nominal wind turbine controller without change in both fault and fault-free cases. This is achieved by inserting T-S proportional state estimators augmented with multiple-integral feedback (PMI) fault estimators to be capable to estimate different generator and rotor speed sensors fault for compensation purposes. The material in this chapter is presented using a non-linear benchmark system model of a wind turbine offered within a competition led by the companies Mathworks and KK-Electronic.

Keywords

Wind turbine control Active fault tolerant control Fault estimation T-S fuzzy systems Tracking control 

Nomenclature

\(P_{\text{cap}} , P_{\text{wind}}\)

Aerodynamic, wind power

ρ

Air density

R

Rotor radius

\(C_{p} , C_{q}\)

Power, torque coefficients

\(\beta , \beta_{r}\)

Actual, reference blade pitch angle

\(\lambda , \lambda_{\text{opt}}\)

Actual, optimal tip-speed-ratio

\(v, v_{ \hbox{min} } , v_{ \hbox{max} }\)

Point, minimum, and maximum wind speed

\(\omega_{r} , \omega_{ \hbox{min} } , \omega_{ \hbox{max} } , \omega_{{r{\text{opt}}}}\)

Actual, minimum, maximum, and optimal rotor speed

Ta

Aerodynamic torque

\(T_{g} , T_{gr} , T_{gm} ,\)

Actual, reference, measured generator torque

\(J_{r} , J_{g}\)

Rotor, generator inertia

\(B_{r} , B_{g}\)

Rotor, generator external damping

ωg

Generator speed

ng

Gearbox ratio

\(K_{{{\text{d}}t}} ,B_{{{\text{d}}t}}\)

Torsion stiffness, damping coefficients

\(\theta_{\Delta }\)

Torsion angle

ζ

Damping factor

ωn

Natural frequency

τg

Generator time constant

\(C_{{p{ \hbox{max} }}}\)

Upper bound of power coefficient

\({\mathcal{A}}_{\text{wind}} ,\text{ }\,{\mathcal{A}}, \,{\mathcal{A}}_{2}\)

Upstream, disc, downstream, areas

\(P^{ + } ,\, P^{ - }\)

Pressure before, after actuator disc

Fd

Thrust exerted on the actuator disc

α

Axial interference factor

tb,tw

Blade, turbulence times

S

Length of the disturbed wind

n

Number of blades

fs

Sensor fault signal

\(e_{t} , \,e_{x} ,\, e_{v}\)

Tracking, state estimation, wind measurement errors

\(K\left( p \right), \,L_{a} \left( p \right)\)

Controller, observer gains

\(P_{1} ,\,P_{2} ,\,\gamma , \,\mu , \,X_{1}\)

LMI variables

\(A\left( p \right),\,B,\, E\left( p \right), \,C, \,D_{f}\)

System matrices

\(\bar{A}\left( p \right),\, \bar{B}, \,\bar{E}\left( p \right), \,R, \bar{C},\, \bar{D}_{f}\)

System matrices augmented with tracking error integral

\(A_{a} \left( p \right), \,B_{a} , \,E_{a} \left( p \right), \,R_{a} , \,G, \,C_{a}\)

Observer augmented matrices

References

  1. 1.
    Ahmed-Zaid F, Ioannou P, Gousman K, Rooney R (1991) Accommodation of failures in the F-16 aircraft using adaptive control. IEEE Control Syst 11(1):73–78CrossRefGoogle Scholar
  2. 2.
    Alwi H, Edwards C (2008) Fault tolerant control using sliding modes with on-line control allocation. Automatica 44(7):1859–1866CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Amirat Y, Benbouzid MEH, Al-Ahmar E, Bensaker B, Turri S (2009) A brief status on condition monitoring and fault diagnosis in wind energy conversion systems. Renew Sustain Energy Rev 13(9):2629–2636CrossRefGoogle Scholar
  4. 4.
    Benosman M, Lum KY (2010) Passive actuators’ fault-tolerant control for affine nonlinear systems. IEEE Trans Control Syst Technol 18(1):152–163CrossRefGoogle Scholar
  5. 5.
    Bianchi DF, De Battista H, Mantz JR (2007) Wind turbine control systems: principles. Springer, Modelling and Gain Scheduling DesignCrossRefGoogle Scholar
  6. 6.
    Blanke M, Kinnaert M, Lunze J, Staroswiecki M (2006) Diagnosis and fault-tolerant control. Springer, LondonzbMATHGoogle Scholar
  7. 7.
    Boskovic JD, Mehra RK (1999) Stable multiple model adaptive flight control for accommodation of a large class of control effector failures. In: Proceedings of the American control conference, San Diego, California, 2–4 June 1920–1924Google Scholar
  8. 8.
    Boskovic, JD, Mehra RK (2002) An adaptive retrofit reconfigurable flight controller. In: Proceedings of the 41st IEEE conference on decision and control, Las Vegas, Nevada, 1257–1262. 10–13 Dec 2002Google Scholar
  9. 9.
    Bossanyi EA, Ramtharan G, Savini B (2009) The importance of control in wind turbine design and loading. In: 17th Mediterranean conference on control and automation, Thessaloniki, Greece, 1269–1274. 24–26 June 2009Google Scholar
  10. 10.
    Burton T, Sharpe D, Jenkins N, Bossanyi E (2001) Wind energy handbook. Wiley, ChichesterCrossRefGoogle Scholar
  11. 11.
    Carriveau R (2011) Fundamental and advanced topics in wind power. Intech, RijekaGoogle Scholar
  12. 12.
    Caselitz P, Giebhardt J (2005) Rotor condition monitoring for improved operational safety of offshore wind energy converters. J Solar Energy Eng 127(2):253–261CrossRefGoogle Scholar
  13. 13.
    Ding SX (2008) Model-based fault diagnosis techniques design schemes, algorithms, and tools. Springer, BerlinGoogle Scholar
  14. 14.
    Djurovic S, Crabtree CJ, Tavner PJ, Smith AC (2012) Condition monitoring of wind turbine induction generators with rotor electrical asymmetry. Renew Power Generation, IET 6(4):207–216CrossRefGoogle Scholar
  15. 15.
    Gao Z, Ding SX (2007) Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems. Automatica 43(5):912–920CrossRefzbMATHMathSciNetGoogle Scholar
  16. 16.
    Gao Z, Ding SX, Ma Y (2007) Robust fault estimation approach and its application in vehicle lateral dynamic systems. Optim Control Appl Methods 28(3):143–156CrossRefMathSciNetGoogle Scholar
  17. 17.
    Guang-Hong Y, Dan Y (2010) Reliable H control of linear systems with adaptive mechanism. IEEE Trans Automatic Control 55(1):242–247CrossRefGoogle Scholar
  18. 18.
    Guerra TM, Kruszewski A, Vermeiren L, Tirmant H (2006) Conditions of output stabilization for nonlinear models in the Takagi-Sugeno’s form. Fuzzy Sets Syst 157(9):1248–1259CrossRefzbMATHMathSciNetGoogle Scholar
  19. 19.
    Jiang B, Staroswiecki M, Cocquempot V (2006) Fault accommodation for nonlinear dynamic systems. IEEE Trans Autom Control 51(9):1578–1583CrossRefMathSciNetGoogle Scholar
  20. 20.
    Johnson KE, Fleming PA (2011) Development, implementation, and testing of fault detection strategies on the National Wind Technology Center’s controls advanced research turbines. Mechatronics 21(4):728–736CrossRefGoogle Scholar
  21. 21.
    Kamal E, Aitouche A, Ghorbani R, Bayart M (2012) Robust fuzzy fault-tolerant control of wind energy conversion systems subject to sensor faults. IEEE Trans Sustainable Energy 3(2):231–241CrossRefGoogle Scholar
  22. 22.
    Li JL, Yang GH (2012) Adaptive actuator failure accommodation for linear systems with parameter uncertainties. IET Control Theory Appl 6(2):274–285CrossRefMathSciNetGoogle Scholar
  23. 23.
    Lunze J, Steffen T (2006) Control reconfiguration after actuator failures using disturbance decoupling methods. IEEE Trans Autom Control 51(10):1590–1601CrossRefMathSciNetGoogle Scholar
  24. 24.
    Mansouri B, Manamanni N, Guelton K, Djemai M (2008) Robust pole placement controller design in LMI region for uncertain and disturbed switched systems. Nonlinear Anal Hybrid Syst 2(4):1136–1143CrossRefzbMATHMathSciNetGoogle Scholar
  25. 25.
    Maybeck PS, Stevens RD (1991) Reconfigurable flight control via multiple model adaptive control methods. IEEE Trans Aerosp Electron Syst 27(3):470–480Google Scholar
  26. 26.
    Munteanu I, Bratcu A, Cutululis N-A, Ceanga E (2008) Optimal control of wind energy systems: towards a global approach. Springer, LondonGoogle Scholar
  27. 27.
    Niemann H, Stoustrup J (2005) Passive fault tolerant control of a double inverted pendulum—a case study. Control Eng Pract 13(8):1047–1059CrossRefGoogle Scholar
  28. 28.
    Noura H, Sauter D, Hamelin F, Theilliol D (2000) Fault-tolerant control in dynamic systems: application to a winding machine. IEEE Control Syst 20(1):33–49CrossRefGoogle Scholar
  29. 29.
    Odgaard PF, Stoustrup J, Kinnaert M (2009) Fault tolerant control of wind turbines: A Benchmark model. In: 7th IFAC symposium on fault detection, supervision and safety of technical processes Safeprocess 2009, Barcelona, 155–160. 30 June–3 July 2009Google Scholar
  30. 30.
    Odgaard PF, Stoustrup J, Kinnaert M (2013) Fault-tolerant control of wind turbines: a Benchmark model. IEEE Trans Control Syst Technol 21(4):1168–1182CrossRefGoogle Scholar
  31. 31.
    Patton R, Putra D, Klinkhieo S (2010) Friction compensation as a fault-tolerant control problem. Int J Syst Sci 41(8):987–1001CrossRefzbMATHMathSciNetGoogle Scholar
  32. 32.
    Patton RJ (1997) Fault tolerant control: the 1997 situation. IFAC Safeprocess ‘97, Hull, United Kingdom, pp 1033–1055Google Scholar
  33. 33.
    Patton RJ, Frank PM, Clark RN (1989) Fault diagnosis in dynamic systems: theory and application. Prentice Hall, New YorkGoogle Scholar
  34. 34.
    Puig V, Quevedo J (2001) Fault-tolerant PID controllers using a passive robust fault diagnosis approach. Control Eng Pract 9(11):1221–1234CrossRefGoogle Scholar
  35. 35.
    Ribrant J, Bertling LM (2007) Survey of failures in wind power systems with focus on Swedish wind power plants during 1997–2005. IEEE Trans Energy Convers 22(1):167–173CrossRefGoogle Scholar
  36. 36.
    Richter JH (2011) Reconfigurable control of nonlinear dynamical systems a fault-hiding approach. Springer, BerlinGoogle Scholar
  37. 37.
    Richter JH, Schlage T, Lunze J (2007) Control reconfiguration of a thermofluid process by means of a virtual actuator. IET Control Theory Appl 1(6):1606–1620CrossRefGoogle Scholar
  38. 38.
    Sami M, Patton RJ (2012a) An FTC approach to wind turbine power maximisation via T-S fuzzy modelling and control. In: 8th IFAC symposium on fault detection, supervision and safety of technical processes, Mexico City, Mexico, pp 349–354. 29–31 Aug 2012Google Scholar
  39. 39.
    Sami M, Patton RJ (2012b) Wind turbine sensor fault tolerant control via a multiple-model approach. In: The 2012 UKACC international conference on control, Cardiff, 3–5 Sept 2012Google Scholar
  40. 40.
    Sanchez-Parra M, Suarez DA, Verde C (2011) Fault tolerant control for gas turbines. In: 16th International conference on intelligent system application to power systems, pp 1–6. 25–28 Sept 2012Google Scholar
  41. 41.
    Šiljak DD (1980) Reliable control using multiple control systems. Int J Control 31(2):303–329CrossRefzbMATHGoogle Scholar
  42. 42.
    Sloth C, Esbensen T, Stoustrup J (2011) Robust and fault-tolerant linear parameter-varying control of wind turbines. Mechatronics 21(4):645–659CrossRefGoogle Scholar
  43. 43.
    Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Syst Man Cybern 15(1):116–132Google Scholar
  44. 44.
    Tanaka K, Wang HO (2001) Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley, New YorkGoogle Scholar
  45. 45.
    Tao G, Chen S, Tang X, Joshi SM (2004) Adaptive control of systems with actuator failures. Int J Robust Nonlinear ControlGoogle Scholar
  46. 46.
    Van Bussel GJW, Zaaijer MB (2001) Reliability, availability and maintenance aspects of large-scale offshore wind farms, a concepts study. In: Marine renewable energies conference, Newcastle, pp 119–126. 27–28 Dec 2001Google Scholar
  47. 47.
    Veillette RJ (1995) Reliable linear-quadratic state-feedback control. Automatica 31(1):137–143CrossRefzbMATHMathSciNetGoogle Scholar
  48. 48.
    Veillette RJ, Medanic JB, Perkins WR (1992) Design of reliable control systems. IEEE Trans Autom Control 37(3):290–304CrossRefzbMATHMathSciNetGoogle Scholar
  49. 49.
    Verbruggen TW (2003) Wind turbine operation and maintenance based on condition monitoring. Energy Research Center of the Netherlands, Technical report ECN-C-03-047Google Scholar
  50. 50.
    Weng Z, Patton RJ, Cui P (2007) Active fault-tolerant control of a double inverted pendulum. J Syst Control Eng 221(6):221, 895Google Scholar
  51. 51.
    Yang G-H, Ye D (2011) Reliable control and filtering of linear systems with adaptive mechanisms. Taylor and Francis, LondonGoogle Scholar
  52. 52.
    Yen GG, Liang-Wei H (2003) Online multiple-model-based fault diagnosis and accommodation. IEEE Trans Ind Electron 50(2):296–312CrossRefGoogle Scholar
  53. 53.
    Yew-Wen L, Der-Cheng L, Ti-Chung L (2000) Reliable control of nonlinear systems. IEEE Trans Autom Control 45(4):706–710CrossRefzbMATHGoogle Scholar
  54. 54.
    Zhang K, Jiang B, Staroswiecki M (2010) Dynamic output feedback-fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults. IEEE Trans Fuzzy Syst 18(1):194–201CrossRefGoogle Scholar
  55. 55.
    Zhang Y, Jiang J (2001) Integrated active fault-tolerant control using IMM approach. IEEE Trans Aerosp Electron Syst 37(4):1221–1235Google Scholar
  56. 56.
    Zhang Y, Jiang J (2008) Bibliographical review on reconfigurable fault-tolerant control systems. Annu Rev Control 32(2):229–252CrossRefGoogle Scholar
  57. 57.
    Zhang YM, Jiang J (2002) Active fault-tolerant control system against partial actuator failures. IEE Proc Control Theory Appl 149(1):95–104CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Electrical EngineeringUniversity of TechnologyBaghdadIraq
  2. 2.School of EngineeringUniversity of HullHullUK

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