A computational framework for the analysis of rain-induced erosion in wind turbine blades, part I: Stochastic rain texture model and drop impact simulations

In the past decade, the power output of wind turbines has increased significantly. This increase has been primarily achieved through manufacturing larger blades resulting in high blade tip velocities and increased susceptibility to rain erosion. This paper is the first part in a two-part paper that presents a framework for the analysis of rain erosion in wind turbine blades. Two ingredients of the framework are presented. A stochastic rain texture model is developed to generate three-dimensional fields of raindrops consistent with the rainfall history at the turbine location by integrating the micro-structural properties of rain, i.e. raindrops size and spatial distribution with its integral properties such as the relationship between the average volume fraction of raindrops and rain intensity. An in-house GPU-accelerated computational fluid dynamics model of free-surface flows and a multi-resolution strategy are used to calculate the drop impact pressure as a function of time and space. An interpolation scheme is finally proposed to find the time evolution of impact pressure profile for any given drop diameter using the high fidelity simulation results, significantly reducing the computational cost. Other ingredients of the framework pertaining to drop impact-induced stresses and the blade coating fatigue life are presented in part II.

[1]  Yan Zhao,et al.  Extreme Dynamic Responses of MW-Level Wind Turbine Tower in the Strong Typhoon Considering Wind-Rain Loads , 2013 .

[2]  E. V. D. Heide,et al.  Leading edge erosion of coated wind turbine blades: Review of coating life models , 2015 .

[3]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[4]  Xu Zhang,et al.  Floating offshore wind turbine reliability analysis based on system grading and dynamic FTA , 2016 .

[5]  Christos T. Georgakis,et al.  Effects of bridge cable surface roughness and cross-sectional distortion on aerodynamic force coefficients , 2012 .

[6]  Danièle Revel,et al.  IPCC Special Report on Renewable Energy Sources and Climate Change Mitigation , 2011 .

[7]  Michael S. Selig,et al.  Aerodynamic effects of leading-edge tape on aerofoils at low Reynolds numbers , 1999 .

[8]  A. Best,et al.  The size distribution of raindrops , 1950 .

[9]  Lin Ma,et al.  Modeling dynamic stall of a straight blade vertical axis wind turbine , 2015 .

[10]  O. Gohardani Impact of erosion testing aspects on current and future flight conditions , 2011 .

[11]  John Dalsgaard Sørensen,et al.  Framework for Risk-based Planning of Operation and Maintenance for Offshore Wind Turbines , 2009 .

[12]  Seiichi Koshizuka,et al.  Investigation on droplet impingement erosion during steam generator tube failure accident , 2012 .

[13]  G. Salomon,et al.  Application of Systems Thinking to Tribology , 1974 .

[14]  J. Marshall,et al.  THE DISTRIBUTION OF RAINDROPS WITH SIZE , 1948 .

[15]  George Marsh Meeting the challenge of wind turbine blade repair , 2011 .

[16]  George Marsh,et al.  Automating aerospace composites production with fibre placement , 2011 .

[17]  Richard E. Brown,et al.  Effect of dynamic stall on the aerodynamics of vertical-axis wind turbines , 2011 .

[18]  George S. Springer,et al.  Model for the Rain Erosion of Fiber Reinforced Composites , 1975 .

[19]  J. Brunton,et al.  Drop impingement erosion of metals , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[20]  David Infield,et al.  Mapping hail meteorological observations for prediction of erosion in wind turbines , 2016 .

[21]  Radovan Kovacevic,et al.  Numerical Simulation and Characterization of Slurry Erosion of Laser Cladded Surfaces by Using Failure Analysis Approach , 2007 .

[22]  Donald A. Parsons,et al.  The relation of raindrop-size to intensity , 1943 .

[23]  S. Chandra,et al.  On a three-dimensional volume tracking model of droplet impact , 1999 .

[24]  Matthew A. Lackner,et al.  Stochastic analysis of flow-induced dynamic instabilities of wind turbine blades , 2015 .

[25]  M. C. Hodson Raindrop size distribution , 1986 .

[26]  Hong-Nan Li,et al.  Calculation of rain load based on single raindrop impinging experiment and applications , 2015 .

[27]  Yasushi Uematsu,et al.  Effects of aspect ratio and surface roughness on the time-averaged aerodynamic forces on cantilevered circular cylinders at high Reynolds numbers , 1995 .

[28]  N. Kampen,et al.  Stochastic processes in physics and chemistry , 1981 .

[29]  M. Lesser,et al.  Thirty years of liquid impact research: a tutorial review , 1995 .

[30]  R. Carriveau,et al.  A review of surface engineering issues critical to wind turbine performance , 2009 .

[31]  Luc Devroye,et al.  Chapter 4 Nonuniform Random Variate Generation , 2006, Simulation.

[32]  A. R. Jameson,et al.  On the Spatial Distribution of Cloud Particles , 2000 .

[33]  Markus Bussmann,et al.  Modeling the splash of a droplet impacting a solid surface , 2000 .

[34]  Christos T. Georgakis,et al.  Effects of surface roughness and cross-sectional distortion on the wind-induced response of bridge cables in dry conditions , 2015 .

[35]  Michael S. Selig,et al.  Effects of leading edge erosion on wind turbine blade performance , 2014 .

[36]  M. Stack,et al.  On erosion issues associated with the leading edge of wind turbine blades , 2013 .

[37]  O. G. Engel,et al.  Waterdrop collisions with solid surfaces , 1955 .

[38]  Walid Chakroun,et al.  Effect of Surface Roughness on the Aerodynamic Characteristics of a Symmetrical Airfoil , 2004 .

[39]  B. Amirzadeh,et al.  A computational framework for the analysis of rain-induced erosion in wind turbine blades, part II: Drop impact-induced stresses and blade coating fatigue life , 2017 .

[40]  Herbert J. Sutherland,et al.  A summary of the fatigue properties of wind turbine materials , 2000 .

[41]  David Nash,et al.  Modelling Rain Drop Impact of Offshore Wind Turbine Blades , 2012 .

[42]  C. Ulbrich Natural Variations in the Analytical Form of the Raindrop Size Distribution , 1983 .

[43]  Javad Mostaghimi,et al.  A three-dimensional model of droplet impact and solidification , 2002 .

[44]  Alexander B. Kostinski,et al.  The texture of rain: Exploring stochastic micro-structure at small scales , 2006 .

[45]  Mehdi Raessi,et al.  Using Graphics Processing Units to Accelerate Numerical Simulations of Interfacial Incompressible Flows , 2012 .

[46]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .

[47]  Frederick G. Hammitt,et al.  High-Speed Impact Between Curved Liquid Surface and Rigid Flat Surface , 1975 .

[48]  H. W. Bargmann On the time-dependence of the erosion rate—a probabilistic approach to erosion , 1986 .