Top

Electrical Engineering

Published in:

27-11-2019 | Original Paper

Towards robust controller design using \(\mu \)-synthesis approach for speed regulation of an uncertain wind turbine

Authors: N. V. A. Ravikumar, G. Saraswathi

Published in: Electrical Engineering | Issue 2/2020

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Wind turbines are subjected to factors like fatigue, aerodynamics, structural flexibility and wind turbulence which lead to uncertain behaviour. This affects stability and deteriorates the performance of the large structured wind turbine. In order to reduce the effects of uncertainties on the system performance and its structure, a robust controller design is necessary. In this paper, it is proposed to design a \(\mu \)-synthesis-based robust controller to overcome the effects due to uncertainties. A \(\pm \,25\%\) variation in the values of the system matrix elements is considered for analysis in this paper. A 109th order of the proposed \(\mu \)-controller is obtained, wherein it is reduced to a 7th order controller by using the balanced truncation method. The robust stability and robust performances are satisfactorily achieved with both these controllers. Furthermore, the worst-case performance of the uncertain wind turbine is also analysed.

next article Fault location method for partial coupling four-circuit overhead lines with different voltages

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

World Wind Energy Association (2019) World wind energy installed capacity. https://wwindea.org/

Lynn PA (2011) Onshore and offshore wind energy: an introduction. Wiley, Oxford. https://doi.org/10.1002/9781119954613 CrossRef

Pao LY, Johnson KE (2011) Control of wind turbines. IEEE Control Syst Mag 31(2):44–62. https://doi.org/10.1109/MCS.2010.939962 MathSciNetCrossRefMATH

Pao LY, Johnson KE (2009) A tutorial on the dynamics and control of wind turbines and wind farms. In: Paper presented in IEEE american control conference. St. Louis, MO, USA, June. https://doi.org/10.1109/ACC.2009.5160195

Civelek Z, Luy M, Cam E, Barisci N (2016) Control of pitch angle of wind turbine by fuzzy PID controller. Intell Autom Soft Comput 22(3):463–471. https://doi.org/10.1080/10798587.2015.1095417 CrossRef

Bossanyi EA (2001) The design of closed loop controllers for wind turbines. Wind Energy 3(3):149–163. https://doi.org/10.1002/we.34 CrossRef

Wang X, Gao W, Gao T, Li Q, Wang J, Li X (2018) Robust model reference adaptive control design for wind turbine speed regulation simulated by using FAST. J Energy Eng 144(2):1–12. https://doi.org/10.1061/(ASCE)EY.1943-7897.0000520 CrossRef

Pintea A, Christov N, Borne P, Popescu D (2011) \(H_{\infty }\)-controller design for variable speed wind turbines. In: 18-th international conference on control systems and computer science. Bucharest, Romania, May. https://hal.archives-ouvertes.fr/hal-00719473

Bhattacharyya SP (2017) Robust control under parametric uncertainty: an overview and recent results. Annu Rev Control 44:45–77. https://doi.org/10.1016/j.arcontrol.2017.05.001 CrossRef

10.

Keel LH, Bhattacharyya SP (2016) Robustness and fragility of high order controllers: a tutorial. In: IEEE conference on control applications (CCA), Part of 2016 IEEE multi-conference on systems and control. Buenos Aires, Argentina, September. https://doi.org/10.1109/CCA.2016.7587837

11.

Kim S, Park J, Kang S, Kim PY, Jin Kim H (2018) A robust control approach for hydraulic excavators using \(\mu \)-synthesis. Int J Control Autom Syst 16(4):1615–1628. https://doi.org/10.1007/s12555-017-0071-9 CrossRef

12.

Narwal A, Prasad R (2017) Order reduction of LTI systems and their qualitative comparison. IETE Tech Rev 34(6):655–663. https://doi.org/10.1080/02564602.2016.1237859 CrossRef

13.

Saraswathi G (2009) Some aspects of order reduction in large scale and uncertain systems. PhD Thesis, JNTU, Hyderabad, India. Supervisor: K. A. Gopala Rao

14.

Sikander A, Prasad R (2015) Linear time-invariant system reduction using a mixed methods approach. Appl Math Model 39(16):4848–4858. https://doi.org/10.1016/j.apm.2015.04.014 MathSciNetCrossRefMATH

15.

Benner P, Schneider A (2010) Balanced truncation model order reduction for LTI systems with many inputs or outputs. In: Paper presented in proceedings of the 19th international symposium on mathematical theory of networks and systems. Budapest, Hungary, July

16.

Huang C, Zhang K, Dai X, Tang W (2013) A modified balanced truncation method and its application to model reduction of power system. In: Paper presented at the IEEE power & energy society general meeting. Vancouver, BC, Canada, July. https://doi.org/10.1109/PESMG.2013.6672263

17.

National Renewable Energy Laboratory (2004) Modern control design for flexible wind turbines. No. NREL/TP-500-35816. National Renewable Energy Laboratory, Golden, CO (US). https://doi.org/10.2172/15011696

18.

Wright AD, Balas MJ (2003) Design of state-space-based control algorithms for wind turbine speed regulation. J Solar Energy Eng 125(4):386–395. https://doi.org/10.1115/1.1621673 CrossRef

19.

Gu D-W, Petkov PH, Konstantinov MM (2013) Robust control design with MATLAB\(\textregistered \). Springer, London. https://doi.org/10.1007/978-1-4471-4682-7 CrossRefMATH

Title: Towards robust controller design using -synthesis approach for speed regulation of an uncertain wind turbine
Authors: N. V. A. Ravikumar
G. Saraswathi
Publication date: 27-11-2019
Publisher: Springer Berlin Heidelberg
Published in: Electrical Engineering / Issue 2/2020
Print ISSN: 0948-7921
Electronic ISSN: 1432-0487
DOI: https://doi.org/10.1007/s00202-019-00891-w

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 2/2020

Estimation of switching surge flashover rate of 1200-kV UHVAC transmission line considering switching overvoltage waveshape

A multi-phase impedance source inverter with an improved controller structure

Implementation of different randomized PWM schemes using Atmega328p microcontroller for EMI reduction in boost converter

Effect of Al2O3 nanorods on the performance of oil-impregnated pressboard insulation

A novel strategy for indirect control of peak dc-link voltage of grid-connected qZS inverter fed through renewable energy sources

CM Conducted EMI mitigation in flyback PFC converter