RESEARCH TOPICS IN WIND ENERGY 3 Leonardo Bergami Smart Rotor Modeling Aero-Servo-Elastic Modeling of a Smart Rotor with Adaptive Trailing Edge Flaps 123 Research Topics in Wind Energy Volume 3 Serieseditor JoachimPeinke,UniversityofOldenburg,Oldenburg,Germany e-mail:[email protected] Forfurthervolumes: http://www.springer.com/series/11859 AboutthisSeries The series Research Topics in Wind Energy publishes new developments and advancesin the fields of Wind EnergyResearch and Technology,rapidly and informallybut with a high quality. Wind Energyis a new emergingresearch field characterized by a high degree of interdisciplinarity.The intent is to cover all the technicalcontents,applications,andmultidisciplinaryaspectsofWindEnergy,em- beddedinthefieldsofMechanicalandElectricalEngineering,Physics,Turbulence, Energy Technology,Control, Meteorology and Long-TermWind Forecasts, Wind Turbine Technology, System Integration and Energy Economics, as well as the methodologiesbehindthem.Withinthescopeoftheseriesaremonographs,lecture notes,selected contributionsfromspecializedconferencesandworkshops,aswell asselectedPhDtheses.Ofparticularvaluetoboththecontributorsandthereader- shiparetheshortpublicationtimeframeandtheworldwidedistribution,whichen- ablebothwideandrapiddisseminationofresearchoutput.Theseriesispromoted undertheauspicesoftheEuropeanAcademyofWindEnergy. Leonardo Bergami Smart Rotor Modeling Aero-Servo-Elastic Modeling of a Smart Rotor with Adaptive Trailing Edge Flaps ABC LeonardoBergami DTUWindEnergy Roskilde Denmark ISSN2196-7806 ISSN2196-7814 (electronic) ISBN978-3-319-07364-4 ISBN978-3-319-07365-1 (eBook) DOI10.1007/978-3-319-07365-1 SpringerChamHeidelbergNewYorkDordrechtLondon LibraryofCongressControlNumber:2014939948 (cid:2)c SpringerInternationalPublishingSwitzerland2014 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped.Exemptedfromthislegalreservationarebriefexcerptsinconnection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. 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Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Preface This book presents the formulationof anaero-servo-elasticmodel for a wind turbine rotor equipped with Adaptive Trailing Edge Flaps (ATEF), a smart rotor configuration. As the name suggests, an aero-servo-elastic model con- sists of three main components: an aerodynamic model, a structural model, and a control model. The book first presents an engineering type of aero- dynamic model that accounts for the dynamic effects of flap deflection. The aerodynamic model is implemented in a Blade Element Momentum frame- work, and coupled with a multi-body structural model in the aero-servo- elastic simulation code HAWC2. The investigated smart rotor configuration mainly aims at alleviating the fatigue loads the turbine rotor has to withstand during normal operation. First, the characteristics of the prevailing loads are identified; then, two model-basedcontrol algorithms areoutlined:thealgorithmscontrolthetrail- ing edge flap deflection to actively reduce the fatigue loads on the structure. The performance of the smart rotor configurationand its controlalgorithms arefinallyquantifiedbyaero-servo-elasticsimulationsofthe smartrotortur- bine operating in a standard turbulent wind field. The book collects the work I carriedout during three years as Ph.D. can- didate at DTU Wind Energy (formerly Risø),and organizesin a monograph the material from the Ph.D. thesis ‘Adaptive Trailing Edge Flaps for Active Load Alleviation in a Smart Rotor Configuration’. The book was made pos- sible by the collaboration between the European Academy of Wind Energy (EAWE),andtheseriesResearchTopicsinWindEnergy bySpringer.Igrate- fully acknowledge the series editor and the EAWE board for this possibility. I am also thankful to Mac Gaunaa, who is a Ph.D. supervisor with uncom- mon enthusiasm, and provided me with continuous support and guidance throughout the project. Mac, as well as my co-supervisor Niels K. Poulsen, andotherpassionateresearchersLarsC.Henriksen,VasilisRiziotis,Joachim Heinz,andPeterB.Andersenco-authoredthearticlesthatgivethebackbone of this monograph. VI Preface Iwouldalsoliketoacknowledgeotherwonderfulpersons,whomaybewere not directly involved in the thesis topic, but had nonetheless an important roleinmakingamemorabletime ofthosePh.D. years,andmanymoreyears to come. Some of them have been near for some years now, others for less time,othersarenowgeographicallymoredistantbutstillveryclose:wherever you are, or you are planning to be, thank you for many great moments and smiles!Finally,Iwouldliketothanktwospecialladies:mymammaStefania, and my sister Giulia. Thank you for all the things you have been teaching me, and for the ones you are still trying to teach. Roskilde, April 2014 Leonardo Bergami Contents Preface ....................................................... V 1 Introduction.............................................. 1 Chapters outline ............................................ 4 2 Simulation Environment .................................. 7 2.1 HAWC2 Aeroelastic Code ............................... 7 2.2 NREL 5 MW Reference Wind Turbine .................... 8 3 Load Analysis ............................................ 11 3.1 Reduced Set of Design Load Cases........................ 12 3.1.1 Fatigue Damage Equivalent Loads.................. 12 3.1.2 Ultimate Loads .................................. 15 3.2 Contributions to the Fatigue Damage ..................... 18 3.2.1 Periodic and Stochastic Components................ 18 3.2.2 Spectral Load Characterization:Power Spectral Density ......................................... 23 3.2.3 Frequency Contributions to Fatigue Damage ......... 24 3.3 Aerodynamic Model Approximations, Effects on Load Simulation............................................. 27 3.4 Conclusion on Load Analysis............................. 29 4 ATEFlap Aerodynamic Model ............................ 33 4.1 The ATEFlap Model.................................... 33 4.1.1 Lift: Attached Flow Dynamics ..................... 35 4.1.2 Lift: Dynamics of Flow Separation.................. 41 4.1.3 Drag............................................ 43 4.1.4 Moment......................................... 45 4.2 Preprocessing Algorithm for Dynamic Stall Steady Input .... 48 4.2.1 Numerical Method................................ 50 4.3 Indicial Lift Response for Finite Thickness Airfoils.......... 52 VIII Contents 4.3.1 Indicial Response Coefficients as Function of the Airfoil Geometry ........................... 53 4.3.2 Improved Agreement with CFD Simulations ......... 59 4.4 Model Validation....................................... 61 4.4.1 Test Case Airfoil and Flap Configuration ............ 62 4.4.2 Numerical Methods Considered in the Comparison ... 64 4.4.3 Steady Aerodynamic Response Comparison.......... 65 4.4.4 Unsteady Aerodynamic Response Comparison........ 69 4.4.5 Validation Conclusion............................. 79 5 Adaptive Trailing Edge Flap Placement................... 81 5.1 Flap Steady Aerodynamic Properties...................... 81 5.2 Flap Placement along the Blade Span..................... 82 5.3 Flap Spanwise Extension ................................ 86 5.4 ATEF Rotor Configuration .............................. 86 6 Preliminary Evaluation with Feed-Forward Cyclic Control................................................... 89 6.1 Method ............................................... 90 6.1.1 Cyclic Control Trajectories Optimization ............ 90 6.1.2 Estimation of Actuation Energy.................... 93 6.2 Cyclic Control for Blade Load Alleviation ................. 95 6.2.1 Load Assessment in Ideal Conditions................ 96 6.2.2 Load Assessment in Realistic Simulation Conditions ...................................... 98 6.3 Cyclic Control for Enhanced Power Capture ............... 98 6.3.1 Preliminary BEM Analysis ........................ 99 6.3.2 Cyclic Optimization .............................. 100 7 Model Based Control Algorithms for a Rotor with ATEF ............................................... 107 7.1 Overview on Control Algorithms ......................... 108 7.1.1 Definition of the Control Models ................... 108 7.1.2 Optimal Controller Algorithms..................... 109 7.2 SISO Linear Quadratic Control for Active Load Alleviation ............................................ 111 7.2.1 Simulation Environment........................... 112 7.2.2 Control Design................................... 113 7.2.3 Aeroelastic Simulation Results ..................... 121 7.3 MIMO Model Predictive Control ......................... 129 7.3.1 Simulation Environment........................... 130 7.3.2 Control Design................................... 130 7.3.3 Aeroelastic Simulation Results ..................... 133 Contents IX 8 Summary of Findings and Future Work................... 139 8.1 Aerodynamic Model .................................... 139 8.2 Load Analysis.......................................... 140 8.3 Smart Rotor Configuration and Preliminary Evaluation ..... 141 8.4 Active Load Alleviation with Adaptive Trailing Edge Flaps ................................................. 142 8.5 Cost of Energy Estimation............................... 144 8.6 Indications on Flap Actuator Requirements ................ 145 9 Conclusion ............................................... 147 References.................................................... 151
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