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Sub Structure tutorial VolturnUS floater 15 MW

Introduction

Floating Offshore Wind Turbines (FOWT) represent complex systems with couplings between their different components submitted to hydrodynamic and aerodynamic loads.

On a hydrodynamic point of view, FOWT are at the edge between the small and large body assumptions depending on the incident wave (small body means \(\lambda/D>5\) where \(\lambda\) is the wavelength and \(D\) the body dimension). As a consequence, the hydrodynamic loads acting on the floaters may be as well represented by a Morison type formulation, a diffraction theory approach or a mix of them. Every approach has advantages and drawbacks. The main idea here is to combine Morison’s formulation and diffraction/radiation theory. That means that the floater’s hull will be modelled with beam finite elements in DeepLines WIND but the hydrodynamic loads on the beam elements will be computed in two ways:

To do this, substructures are defined to divide the floater’s hull into different slices along the different members. These substructures are associated with “sub-HDB” files that can be loaded in the Deeplines WIND model to provide linear loading on the beam elements, as illustrated in Figure 1.

Figure 1 : Substructures HDB files illustration.

Purpose of tutorial

The aim of this tutorial is to detail the various steps involved in creating a substructure model using an Excel file. The first step is to create the mesh of the structure. The mesh should be clearly defined because once it is defined it will not be changed in the next steps. The second step is to create a beam model derived from the first step. All beam element properties and substructure groups are defined. Any required fairleads can also be defined. Once the excel file is done, it is possible to drag and drop it in DLW (for more details, see Excel file). Then, the HDB substructures can be created in DLW. This document details the different steps taken to create a derived semi-submersible UMaine VolturnUS, which was presented by the N-REL in a dedicated report. The model presented is defined with a simplified turbine. It’s a steel floater for a 15MW turbine. The main dimension between the NREL model and the derived model are presented here after.

The sub-structure could be flexible (the beams), so that the stress at the connections and into the beams can be calculated. A HDB is define for each sub-structure of the floating platform and all the hydrostatic, diffraction/radiation are integrated in a first place at these elements before to be transported to the global reduction point. A simple HDB is completely rigid, with no stress calculation within the floating platform. All the hydrostatic, diffraction/radiation are integrated directly to the reduction point.

Figure 2 : General arrangement of the Volturn US from NREL.

Figure 3 : General arrangement of the derived Volturn US.

Paramètre Valeur Unité
Depth of platform base below SWL (total draft) 18.5 m
Elevation of columns above SWL 14.3 m
Radius between main column and external columns 43 m
Diameter main column 10 m
Thickness of main column 40 mm
Diameter of external columns 14.5 m
Thickness of external columns 40 mm
Diameter of skirts 21.75 m
Height of skirts 400 mm
Length of braces 30.75 m
Diameter of braces 3 m
Thickness of braces 30 mm
Section of bottom pontoons HxW 7.5 x 14.5
Thickness of bottom pontoons 100 mm

DeepLines Model overview

The Volturn US is divided into several beam sections in order to size them. Each section has specific properties and are affected by hydrodynamic and/or aerodynamic loads, mooring loads, etc... However, some parts of the model are considered to be rigid as they are complex to model with beam properties. That’s the case for each bottom columns including the skirts. These parts are the connections between the columns and the pontoons. A local FEM model must be used to size them. To clearly identify the rigid part of the model, the connections are represented with their own mesh as shown in Figure 4. The Volturn US set up is defined with spring moorings and simplified turbine.

Figure 4 : Connections mesh.

To build the Deeplines model a model excel file available in the Deeplines installation folder is used. Beam model is defined in the excel. The excel file is presented in figure 5.

• The first sheet defines the name of the dsk and the colour code of the excel cells.

• Several sheets representing the option in the Deeplines GUI (line sections, line properties, calculation properties, etc..). To build the Volturn US, the user must navigate through several sheets. Not all the sheets have to be complete, only the necessary ones, that will be defined in the next steps. The sheets don’t used can be deleted. The user can create other sheets if needed until that the name is different from those in the model. Deeplines only reads certain sheet names and ignores others.

The Deeplines section is divided into 3 parts:

• Beam model set up

• Properties definition

• Substructure definition

Figure 5 : Excel sheet example.

The Volturn US is divided in several substructures as follow:

• Pontoons are divided into 8 substructures

• Columns are divided into 5 substructures

• Braces account for 1 substructure (they are not expected to be in contact with sea water)

• Each base column with skirt (or not) account for 1 rigid substructure.

Figure 6 : Volturn US Substructures.

Requirements: it is assumed that the user is able to generate a hydrodynamic mesh

Beam model set up

  • 1 Give a name to the model in the sheet “Deeplines” cell B2

  • 2 In the sheet “Line” define all the lines needed to build the Volturn US. For the pontoons a specific “Steady internal fluid reference” is defined corresponding to the ballast. The ballast is defined in the next section.

Figure 7 : Lines definition.

Name Straight pipe Steady internal fluid reference
CCentral no DefaultFluid
CExt1 no DefaultFluid
CExt2 no DefaultFluid
CExt3 no DefaultFluid
Pont1 no BallastPon
Pont2 no BallastPon
Pont3 no BallastPon
Skirt1 no DefaultFluid
Skirt2 no DefaultFluid
Skirt3 no DefaultFluid
Brace1 no DefaultFluid
Brace2 no DefaultFluid
Brace3 no DefaultFluid
aero_WTG no DefaultFluid
Tower no DefaultFluid
  • 3 In the sheet “Rigid body” define all the required rigid bodies as shown in the Figure 8 . As the turbine modelling is a simplified one, a rigid body is defined instead of a full BEM model. The rigid bodies are connected to the “Fairlead reference” are defined in the next step. It is not a mandatory to define the coordinates of rigid bodies as they are connected to another element. For instance, “RG_WTG_simple” is connected to the tower. So, its coordinates are derived from the tower ending defined in the “Section” sheet. The only mandatory is consistency between the two sheets, the coordinates must appear in at least one of them.
    It's possible to apply a mesh to the rigid bodies, an imported mesh or a drawing mesh (it’s not a mandatory).
Name X (m) Y (m) Z (m) Linked to reference Attach Point reference Connection type Connection reference Fairlead reference Mesh file Center of mesh
RB_BaseCC 0 0 -14.75 FL_RB_BaseCC $CUR_PATH\Mesh\rigidCC.DAT Mesh
RB_BotCol1 43 0 -14.75 FL_RB_BotCol1 $CUR_PATH\Mesh\rigidCol1.DAT Mesh
RB_BotCol2 -21.5 37.339 -14.75 FL_RB_BotCol2 $CUR_PATH\Mesh\rigidCol2.DAT Mesh
RB_BotCol3 -21.5 -37.339 -14.75 FL_RB_BotCol3 $CUR_PATH\Mesh\rigidCol3.DAT Mesh
Name X (m) Y (m) Z (m) Linked to reference Attach Point reference Connection type Connection reference Fairlead reference Length (m) Width (m) Height (m)
RB_TopCC 0 0 11.3 FL_RB_TopCC 0.5 0.5 0.5
RB_TopCol1 43 0 11.3 FL_RB_TopCol1 0.5 0.5 0.5
RB_TopCol2 -21.5 37.339 11.3 FL_RB_TopCol2 0.5 0.5 0.5
RB_TopCol3 -21.5 -37.339 11.3 FL_RB_TopCol3 0.5 0.5 0.5
RG_WTG_simple Tower YawB User-defined UDC_0 FL_RG_WTG_simple 10 3 1

Figure 8 : Rigid Body definition.

  • 4 In the “Fairlead” sheet create all the fairlead associated to a rigid body, the floater or the “Sea&Ground”. The fairleads are shown in APPENDIX 1.

Note

The object reference “Volturn_Floater” has not yet been created. But it will in the substructure section §2.4.

  • 5 Now that all the points are defined, in the “Section” sheet create all connections between beams, rigid bodies and internal segment of beams. The columns to be defined are shown in APPENDIX 2. The main objective of this part is to split the lines and create different sections of them. Their properties are defined in “Segment sheet” in the next steps. For instance, 8 sections are defined for the line "CCeneral":

• The first section is a specific one connected to the rigid body “RB_BaseCC” this segment is only used in the model to assign hydrodynamic loads (Morison’s forces).

• The other sections split the central column into 7 parts from the rigid body “RB_BaseCC” to the bottom tower using intermediate connections. The connection between a beam and a rigid body must be defined with a specific property in “connection type”. The same “connection type” is used throughout the model, that’s why the “connection reference” is the same.

• The intermediate connections are “line to line”, so there is not connection type requirement, but the user must define the intermediate points (their names and their positions with respect to the coordinates of the origin system).

Figure 9 : Section definition.

  • 6 In the “Connection” sheet create a user defined connection used in the “Section” sheet. The spring properties used for the mooring are also defined in this sheet.
User-defined connection name BC Translation BC X Translation BC Y Translation BC Z Translation BC Rotation BC X Rotation BC Y Rotation BC Z Rotation
UDC_0 yes Constrained Constrained Constrained yes Constrained Constrained Constrained
Spring connection name Spring unstreched length (m) Linear stiffness (N/m)
Spr_Moor 48900
  • In the “Segment” sheet apply one or multiple segments to each section defined in the “Section” sheet. Define the length of the segments, the number of elements (or target spacing) and the segment type reference (see APPENDIX 3). Note that a section can be composed of several segments, but a section must be defined by at least one segment. Be careful when defining the length of the segments. The length should be consistent with the node positions defined in the “Section” sheet. Otherwise, irrelevant internal constraints will appear in the floater model. The segment type references are defined in the next section §2.3

  • In the “Link” sheet define the 3 spring mooring lines and their parameters.

Name Type Connection link properties reference X1 Y1 Z1 Linked to 1 reference Attach point 1 reference Connection 1 type Connection 1 reference X2 Y2 Z2 Linked to 2 reference
Spring1 Spring Spr_Moor 50.25 -16.5 RB_BotCol1 Mooring User-defined UDC_0 114.85 0 -59.15 Anchored
Spring2 Spring Spr_Moor -25.125 43.618 -16.5 RB_BotCol2 Mooring User-defined UDC_0 -57.425 99.229 -59.15 Anchored
Spring3 Spring Spr_Moor -25.125 -43.618 -16.5 RB_BotCol3 Mooring User-defined UDC_0 -57.425 -99.229 -59.15 Anchored
  • In the “Group” sheet define the different group especially for the floater and the mesh of the floater. They will be used for the next step.

Figure 10 : Group definition in DLW interface.

Name Component reference
Volturn_Elt CCentral
Volturn_Elt CExt1
Volturn_Elt CExt2
Volturn_Elt CExt3
Volturn_Elt Pont1
Volturn_Elt Pont2
Volturn_Elt Pont3
Volturn_Elt Skirt1
Volturn_Elt Skirt2
Volturn_Elt Skirt3
Volturn_Elt Brace1
Volturn_Elt Brace2
Volturn_Elt Brace3
Volturn_Elt RB_BaseCC
Volturn_Elt RB_BotCol1
Volturn_Elt RB_BotCol2
Volturn_Elt RB_BotCol3
Volturn_Elt RB_TopCol1
Volturn_Elt RB_TopCol2
Volturn_Elt RB_TopCol3
Volturn_Elt RB_TopCC
Volturn_Elt BaseCCmass
Volturn_Elt BotCol1mass
Volturn_Elt BotCol2mass
Volturn_Elt BotCol3mass
Volturn_HDB_1 Volturn_Floater
WTG_simple RG_WTG_simple
WTG_simple RNA_Weight_simple
WTG_simple aero_WTG
Gr_Tower Tower
Moor_Simple Spring1
Moor_Simple Spring2
Moor_Simple Spring3

Beam properties definition

  • 1 In the “Flexible line Type” sheet defines the properties of the aerodynamic element. Drag and lift coefficients can be defined on the element to simulate the turbine forces. It is assumed rigid. To remind the name of the line type is the same than the one defines in the section definition.
Name Lineic mass (kg/m) Axial stiffness (N) Bending stiffness (N·m²) Torsion stiffness (N·m²/rad) Buoyancy diameter (mm) Submerged weight (N/m) Hydrodynamic diameter (mm) Aerodynamic normal drag
aeropro 0.0001 100 100 10000 0.001 0.001 1000 0.65
  • 2 In the “Generic line Type” sheet defines the properties of the beams of the floater. The properties are shown in APPENDIX 4. As some sections are rectangular, the generic line type is used because it allows the mechanical parameters to be defined in different directions and for a specific section (ex-rectangular).

  • 3 In the “Rigid line type” sheet defines the properties of the fake lines that take into account only for the drag coefficient and are associated with a rigid body/connection as CCentral_Sect_1. Their other hydrodynamic parameters inertia and added mass are set to 0. It also creates the properties of the transition piece and the brace.

Name Outside diameter (mm) Wall thickness (mm) Buoyancy diameter (mm) Internal cross section (mm²) Hydrodynamic normal drag Hydrodynamic diameter (mm) Aerodynamic normal drag Young modulus (GPa) Specific gravity
CC_fake 10000 400 0.0001 6.65E+07 0.78 10000 0.01 0.01
Cext_fake 14500 400 0.0001 1.47E+08 0.57 14500 0.01 0.01
ponton_fake 10000 400 0.0001 6.65E+07 0.65 10000 0.01 0.01
Bracepro 3000 30 3000 6.79E+06 3000 0.65 8.5
Transipro 10000 83 10000 7.60E+07 10000 0.65 8.5
  • 4 In the “Tapered line type” sheet defines the properties of the different tower sections. This type enables defining conic elements.
Name Begin outside diameter (mm) Begin wall thickness (mm) End outside diameter (mm) End wall thickness (mm) Aerodynamic normal drag Young modulus (GPa) Specific gravity
Tower_S1 10000 82.954 9964 82.954 0.65 200 7.932
Tower_S2 9964 83.073 9967 83.073 0.65 200 7.932
Tower_S3 9967 82.799 9927 82.799 0.65 200 7.932
Tower_S4 9927 29.9 9528 29.9 0.65 200 7.932
Tower_S5 9528 27.842 9149 27.842 0.65 200 7.932
Tower_S6 9149 25.567 8945 25.567 0.65 200 7.932
Tower_S7 8945 22.854 8735 22.854 0.65 200 7.932
Tower_S8 8735 20.25 8405 20.25 0.65 200 7.932
Tower_S9 8405 18.339 7321 18.339 0.65 200 7.932
Tower_S10 7321 21.211 6565 21.211 0.65 200 7.932
  • 5 “Structure properties” sheet defines the material and the section used. This sheet is used for the code check analysis. The starting point is to the same for all pontoons but once the ULS load case has been run, it’s possible to add new sections and materials in order to achieve an optimised structural design that more accurately accounts for the hydrodynamic forces on each section (the aim of a substructure model).

Note

If a cell is empty, the default value for the S355 steel material is filled in in DLW.

Material name Density (kg/m³) Young modulus (GPa) Poisson coefficient Shear modulus (GPa)
Steel 80.77
Concrete 2500 40 0.2
Mat0 0.0001
Mat1 0.01
Mat2 200
Local section name Type Outside diameter (mm) Wall thickness (mm) External height (m) External width (m) Effective section area (m²) Section torsion module (m³) Section inertia X (m⁴) Section inertia Y (m⁴)
Ponton_Rectangular Rectangular 7.5 14.5 16.96 244.6588718 166.3945333 469.7185333
CircularSectionCC 200 20
CircularSectionCext 200 20
CircularSectionSkirt 200 20
OD10000WT400 10000 400
OD14500WT400 14500 400
OD3000WT30 3000 30
OD10000WT83 10000 83
OD10000WT82_954 10000 82.954
OD9964WT83_073 9964 83.073
OD9967WT82_799 9967 82.799
OD9927WT29_9 9927 29.9
OD9528WT27_842 9528 27.842
OD9149WT25_567 9149 25.567
OD8945WT22_854 8945 22.854
OD8735WT20_25 8735 20.25
OD8405WT18_339 8405 18.339
OD7321WT21_211 7321 21.211
  • 6 “Fluid type” sheet defines the “DefaultFluid” and the “BallastPon” set in the “Line sheet”. Create the names and then the tables associated in the “Steady/External table” section.
Name Table reference Table name Curvilinear abscissa Pressure (Pa) Specific gravity
DefaultFluid FluidTable_1 FluidTable_1 0 100000 0
BallastPon FluidTable_2 FluidTable_2 0 148314.9375 2.674043458
  • 7 “Loading” sheet assignes the “lump masses” to the beams and rigid bodies.
Name Sub-name Object reference Location reference Type Curv. abscissa (m)
BaseCCmass CcCol RB_BaseCC Lump masses 0
BaseCCmass Pon1 RB_BaseCC Lump masses 0
BaseCCmass Pon2 RB_BaseCC Lump masses 0
BaseCCmass Pon3 RB_BaseCC Lump masses 0
BotCol1mass Pon1 RB_BotCol1 Lump masses 0
BotCol1mass Col1 RB_BotCol1 Lump masses 0
BotCol1mass Bal RB_BotCol1 Bal Lump masses
BotCol2mass Pon2 RB_BotCol2 Lump masses 0
BotCol2mass Col2 RB_BotCol2 Lump masses 0
BotCol2mass Bal RB_BotCol2 Bal Lump masses
BotCol3mass Pon3 RB_BotCol3 Lump masses 0
BotCol3mass Col3 RB_BotCol3 Lump masses 0
BotCol3mass Bal RB_BotCol3 Bal Lump masses
RNA_Weight_simple Inertia RG_WTG_simple CoGravity Lump masses
Name Lump mass (kg) Lump buoyancy (N) Lump ixx (kg·m²) Lump iyy (kg·m²) Lump izz (kg·m²)
BaseCCmass 2.11E+05
BaseCCmass 1.28E+05
BaseCCmass 1.28E+05
BaseCCmass 1.28E+05
BotCol1mass 1.70E+05
BotCol1mass 3.32E+05 1.82E+07
BotCol1mass 4.60E+05 2.08E+05 2.08E+05 4.17E+05
BotCol2mass 1.70E+05
BotCol2mass 3.32E+05 1.82E+07
BotCol2mass 4.60E+05 9.61E+06 9.61E+06 1.55E+07
BotCol3mass 1.70E+05
BotCol3mass 3.32E+05 1.82E+07
BotCol3mass 4.60E+05 9.61E+06 9.61E+06 1.55E+07
RNA_Weight_simple 8.59E+05 3.13E+08 1.83E+08 1.82E+08
  • 8 “Sea&Ground” sheet defines a depth of 81.6m and an “Environment width” of 1500m.
Name Width (m) Depth (m) Sea bed point Z (m) Fairlead reference
Sea&Ground 1500 81.6 -81.6 FL_SeaAndGround
  • 9 “UDK” sheet defines the User Define Keyword UDK_0 to load the drag and lift coefficients to aero_WTG. These files will take into account the forces applied to the turbine for a given configuration (Vin, Vrated, Vout, etc..). The coefficients that are in the txt file are obtained from a full BEM turbine.
Name Sub-type Keyword content reference Keyword config reference
UDK_0 SubUserDefKeyword_1 KeywordC_1 KC_1
Keyword content name Solver commands
KeywordC_1 CDADPOL,file=..\00-AERO\cdpol_Vrated.txt
$idobj1 0
CLADPOL,file=..\00-AERO\cliftpol_Vrated.txt
$idobj1 0
Keyword config name $idobj Object reference
KC_1 $idobj1 aero_WTG

Substructure definition

The whole beam model and hydrodynamic mesh is defined in the excel file. Next steps are dedicated to the Substructure setup only. The aim is to combine the beam model and the hydrodynamic mesh.

  • 1 Before defining the fairleads, create the Volturn_Floater in the special sheet “Floater”. A specific “floater motion type” is applied to the floater. This part assumes that the user has already created his mesh with substructures.
Name Type Floater motion type reference Fairlead reference Mesh file Center of mesh
Volturn_Floater Generic SSTFloaterMotion_1 FL_Volturn_Floater $CUR_PATH\Mesh\VoltUS.DAT Centre
  • 2 “Floater motion type” sheet defines the substructure motion type, which is slightly different from a classical motion type. Indeed, it is not possible to define a classical centre of motion, a reduction point must be set, selected in the rigid bodies defined in the “Rigid body” sheet. COG of the rigid body must be selected. Obviously, the rigid body must be consistent with the reduction point used in the HDB (created with DLW or with another software). Even if the HDB has not yet been created, the user can define the future HDB path. DLW will show an error when opening the excel file because the HDB doesn’t exist, but the user can ignore this error.
Name Type Reduction point object reference Reduction point location reference MS Primary motion HDB File Floater's name or Id.name Use memory effect for radiation damping Loads updated Time window
SSTFloaterMotion_1 SST FMT RB_BaseCC COG Calculated with substructure, low frequency wave loads and Morison damping $CUR_PATH\HDB\VoltUS.HDB VoltUS yes In static and beginning of each time step 100
  • 3 “Substructure floater” sheet defines the substructure floater properties as the generic floater reference and the multistructure floater motion reference. The first two tables assign the beam elements to a mesh substructure and the rigid bodies to a substructure. The third table tells DLW where to take the beams and the mesh. The Volturn_Elt group defined in the “Group” sheet with beams and rigid bodies must be defined as the Volturn_HDB_1 containing the generic floater mesh.
Name Generic floater reference Multistructure floater motion reference Segments / substructures table reference Rigid bodies / substructures table reference Objects table reference
FloaterSub_1 Volturn_Floater SSTFloaterMotion_1 Seg2SubstructureTable_1 RB2SubstructureTable_1 ObjectsTable_1
Objects table name Object reference
ObjectsTable_1 Volturn_Elt
ObjectsTable_1 Volturn_HDB_1
  • 4 Then define the association of segments/rigid bodies of lines to substructures shown in APPENDIX 5 and the following table :
Rigid bodies / substructures table name Rigid body reference Rigid body: substructure reference
RB2SubstructureTable_1 RB_BaseCC BaseCon
RB2SubstructureTable_1 RB_BotCol1 BotCon1
RB2SubstructureTable_1 RB_BotCol2 BotCon2
RB2SubstructureTable_1 RB_BotCol3 BotCon3
RB2SubstructureTable_1 RB_TopCol1
RB2SubstructureTable_1 RB_TopCol2
RB2SubstructureTable_1 RB_TopCol3
RB2SubstructureTable_1 RB_TopCC

Note

It is not enable to apply a substructure to both a beams and a rigid body at the same time. The cell for a beam or a rigid body can be empty, it’s not a mandatory to assign a substructure to it. If a substructure exists in the mesh/HDB, it must be related to a beam or a rigid body.

Note

After saving the excel file, it is possible to drag and drop it in the DLW GUI.

Figure 11 : Excel file imported in DLW GUI.

  • 5 In DLW, click on HDB viewer and select the single floater tab. Then select the floater Volturn Us defined previously in the excel file and select the substructure motion type. Then create files and calculate the HDB. The calculation is taking a lot of time for this mesh. This part will generate the first order loads based on the floater's mesh. It is also possible to compute the second order loads (the drift forces and moments).

Figure 12 : HDB creation.

  • 6 Once the HDB is created, displace it in the appropriate folder (the one defined in Floater definition).

Your model is now ready to run.

APPENDIX 1 FAIRLEADS

Name Object reference Attach point name Coordinates system X (m) Y (m) Center X (m) Center Y (m) R (m) Theta (deg) Z (m)
FL_SeaAndGround Sea&Ground Anchor1 Cylindrical 700 -81.6
FL_SeaAndGround Sea&Ground Anchor2 Cylindrical 700 120 -81.6
FL_SeaAndGround Sea&Ground Anchor3 Cylindrical 700 240 -81.6
FL_Volturn_Floater Volturn_Floater Centre 0 0 0
FL_RB_BaseCC RB_BaseCC Center 0 0 0
FL_RB_BaseCC RB_BaseCC CC-COL1 6 0 0
FL_RB_BaseCC RB_BaseCC CC-COL2 -3 5.196152 0
FL_RB_BaseCC RB_BaseCC CC-COL3 -3 -5.196152 0
FL_RB_BaseCC RB_BaseCC CC-CC 0 0 3.75
FL_RB_BaseCC RB_BaseCC Mesh 0 0 14.75
FL_RB_BotCol1 RB_BotCol1 Skirt11 0 0 -3.75
FL_RB_BotCol1 RB_BotCol1 Skirt12 0 0 -3.35
FL_RB_BotCol1 RB_BotCol1 Center1 0 0 0
FL_RB_BotCol1 RB_BotCol1 BotCol1 0 0 3.75
FL_RB_BotCol1 RB_BotCol1 Pont1 -8 0 0
FL_RB_BotCol1 RB_BotCol1 Mesh -43 0 14.75
FL_RB_BotCol1 RB_BotCol1 Bal 0 0 -0.87
FL_RB_BotCol1 RB_BotCol1 Mooring 7.25 0 -1.75
FL_RB_BotCol2 RB_BotCol2 Skirt21 0 0 -3.75
FL_RB_BotCol2 RB_BotCol2 Skirt22 0 0 -3.35
FL_RB_BotCol2 RB_BotCol2 Center2 0 0 0
FL_RB_BotCol2 RB_BotCol2 BotCol2 0 0 3.75
FL_RB_BotCol2 RB_BotCol2 Pont2 4 -6.928203 0
FL_RB_BotCol2 RB_BotCol2 Mesh 21.5 -37 14.75
FL_RB_BotCol2 RB_BotCol2 Bal 0 0 -0.87
FL_RB_BotCol2 RB_BotCol2 Mooring -3.625 6.279 -1.75
FL_RB_BotCol3 RB_BotCol3 Skirt31 0 0 -3.75
FL_RB_BotCol3 RB_BotCol3 Skirt32 0 0 -3.35
FL_RB_BotCol3 RB_BotCol3 Center3 0 0 0
FL_RB_BotCol3 RB_BotCol3 BotCol3 0 0 3.75
FL_RB_BotCol3 RB_BotCol3 Pont3 4 6.928203 0
FL_RB_BotCol3 RB_BotCol3 Mesh 21.5 37 14.75
FL_RB_BotCol3 RB_BotCol3 Bal 0 0 -0.87
FL_RB_BotCol3 RB_BotCol3 Mooring -3.625 -6.279 -1.75
FL_RB_TopCC RB_TopCC CC 0 0 0
FL_RB_TopCC RB_TopCC Brace1 5 0 0
FL_RB_TopCC RB_TopCC Brace2 -2.5 4.330127 0
FL_RB_TopCC RB_TopCC Brace3 -2.5 -4.330127 0
FL_RB_TopCol1 RB_TopCol1 Brace1 -7.25 0 0
FL_RB_TopCol1 RB_TopCol1 Col1 0 0 0
FL_RB_TopCol2 RB_TopCol2 Brace2 3.625 -6.278684 0
FL_RB_TopCol2 RB_TopCol2 Col2 0 0 0
FL_RB_TopCol3 RB_TopCol3 Brace3 3.625 6.278684 0
FL_RB_TopCol3 RB_TopCol3 Col3 0 0 0
FL_RG_WTG_simple RG_WTG_simple TowerConnection 0 0 0
FL_RG_WTG_simple RG_WTG_simple CoGravity 7.019 0 4.115
FL_RG_WTG_simple RG_WTG_simple hub-low 10.604 0 4.962
FL_RG_WTG_simple RG_WTG_simple hub-high 10.604 0 5.962

** Appendix 2 section

Line reference Name Shape Point 1 name X 1 Y 1 Z 1 Linked to 1 reference Attach point 1 reference Connection 1 type Connection 1 reference Point 2 name X 2 Y 2 Z 2 Linked to 2 reference Attach point 2 reference Connection 2 type Connection 2 reference
CCentral CCentral_Sect_1 Straight CC_center RB_BaseCC Center User-defined UDC_0 BotCC RB_BaseCC CC-CC User-defined UDC_0
CCentral CCentral_Sect_2 Straight BotCC RB_BaseCC CC-CC User-defined UDC_0 CC_2 0 0 -5.94
CCentral CCentral_Sect_3 Straight CC_2 0 0 -5.94 CC_3 0 0 -0.88
CCentral CCentral_Sect_4 Straight CC_3 0 0 -0.88 CC_4 0 0 4.18
CCentral CCentral_Sect_5 Straight CC_4 0 0 4.18 CC_5 0 0 9.24
CCentral CCentral_Sect_6 Straight CC_5 0 0 9.24 Brace RB_TopCC CC User-defined UDC_0
CCentral CCentral_Sect_7 Straight Brace RB_TopCC CC User-defined UDC_0 TopCC 0 0 14.3
CCentral CCentral_Sect_8 Straight TopCC 0 0 14.3 BotTower 0 0 15
CExt1 CExt1_Sect_1 Straight Center1 RB_BotCol1 Center1 User-defined UDC_0 BotCol1 RB_BotCol1 BotCol1 User-defined UDC_0
CExt1 CExt1_Sect_2 Straight BotCol1 RB_BotCol1 BotCol1 User-defined UDC_0 Col1_2 43 0 -5.94
CExt1 CExt1_Sect_3 Straight Col1_2 43 0 -5.94 Col1_3 43 0 -0.88
CExt1 CExt1_Sect_4 Straight Col1_3 43 0 -0.88 Col1_4 43 0 4.18
CExt1 CExt1_Sect_5 Straight Col1_4 43 0 4.18 Col1_5 43 0 9.24
CExt1 CExt1_Sect_6 Straight Col1_5 43 0 9.24 Brace1 RB_TopCol1 Col1 User-defined UDC_0
CExt1 CExt1_Sect_7 Straight Brace1 RB_TopCol1 Col1 User-defined UDC_0 TopC1 43 0 14.3
CExt2 CExt2_Sect_1 Straight Center2 RB_BotCol2 Center2 User-defined UDC_0 BotCol2 RB_BotCol2 BotCol2 User-defined UDC_0
CExt2 CExt2_Sect_2 Straight BotCol2 RB_BotCol2 BotCol2 User-defined UDC_0 Col2_2 -21.5 37.239 -5.94
CExt2 CExt2_Sect_3 Straight Col2_2 -21.5 37.239 -5.94 Col2_3 -21.5 37.239 -0.88
CExt2 CExt2_Sect_4 Straight Col2_3 -21.5 37.239 -0.88 Col2_4 -21.5 37.239 4.18
CExt2 CExt2_Sect_5 Straight Col2_4 -21.5 37.239 4.18 Col2_5 -21.5 37.239 9.24
CExt2 CExt2_Sect_6 Straight Col2_5 -21.5 37.239 9.24 Brace2 RB_TopCol2 Col2 User-defined UDC_0
CExt2 CExt2_Sect_7 Straight Brace2 RB_TopCol2 Col2 User-defined UDC_0 TopC2 -21.5 37.239 14.3
CExt3 CExt3_Sect_1 Straight Center3 RB_BotCol3 Center3 User-defined UDC_0 BotCol3 RB_BotCol3 BotCol3 User-defined UDC_0
CExt3 CExt3_Sect_2 Straight BotCol3 RB_BotCol3 BotCol3 User-defined UDC_0 Col3_2 -21.5 -37.239 -5.94
CExt3 CExt3_Sect_3 Straight Col3_2 -21.5 -37.239 -5.94 Col3_3 -21.5 -37.239 -0.88
CExt3 CExt3_Sect_4 Straight Col3_3 -21.5 -37.239 -0.88 Col3_4 -21.5 -37.239 4.18
CExt3 CExt3_Sect_5 Straight Col3_4 -21.5 -37.239 4.18 Col3_5 -21.5 -37.239 9.24
CExt3 CExt3_Sect_6 Straight Col3_5 -21.5 -37.239 9.24 Brace3 RB_TopCol3 Col3 User-defined UDC_0
CExt3 CExt3_Sect_7 Straight Brace3 RB_TopCol3 Col3 User-defined UDC_0 TopC3 -21.5 -37.339 14.3
Pont1 Pont1_Sect_1 Straight CC1 RB_BaseCC Center User-defined UDC_0 CC_pont1 RB_BaseCC CC-COL1 User-defined UDC_0
Pont1 Pont1_Sect_2 Straight CC_pont1 RB_BaseCC CC-COL1 User-defined UDC_0 CC1_2 9 0 -14.75
Pont1 Pont1_Sect_3 Straight CC1_2 9 0 -14.75 CC1_3 12 0 -14.75
Pont1 Pont1_Sect_4 Straight CC1_3 12 0 -14.75 CC1_4 15 0 -14.75
Pont1 Pont1_Sect_5 Straight CC1_4 15 0 -14.75 CC1_5 19 0 -14.75
Pont1 Pont1_Sect_6 Straight CC1_5 19 0 -14.75 CC1_6 23 0 -14.75
Pont1 Pont1_Sect_7 Straight CC1_6 23 0 -14.75 CC1_7 27 0 -14.75
Pont1 Pont1_Sect_8 Straight CC1_7 27 0 -14.75 CC1_8 31 0 -14.75
Pont1 Pont1_Sect_9 Straight CC1_8 31 0 -14.75 Pont1 RB_BotCol1 Pont1 User-defined UDC_0
Pont1 Pont1_Sect_10 Straight Pont1 RB_BotCol1 Pont1 User-defined UDC_0 Col1 RB_BotCol1 Center1 User-defined UDC_0
Pont2 Pont2_Sect_1 Straight CC2 RB_BaseCC Center User-defined UDC_0 CC_pont2 RB_BaseCC CC-COL2 User-defined UDC_0
Pont2 Pont2_Sect_2 Straight CC_pont2 RB_BaseCC CC-COL2 User-defined UDC_0 CC2_2 -4.5 7.79422863 -14.75
Pont2 Pont2_Sect_3 Straight CC2_2 -4.5 7.79422863 -14.75 CC2_3 -6 10.3923048 -14.75
Pont2 Pont2_Sect_4 Straight CC2_3 -6 10.3923048 -14.75 CC2_4 -7.5 12.9903811 -14.75
Pont2 Pont2_Sect_5 Straight CC2_4 -7.5 12.9903811 -14.75 CC2_5 -9.5 16.4544827 -14.75
Pont2 Pont2_Sect_6 Straight CC2_5 -9.5 16.4544827 -14.75 CC2_6 -11.5 19.9185843 -14.75
Pont2 Pont2_Sect_7 Straight CC2_6 -11.5 19.9185843 -14.75 CC2_7 -13.5 23.3826859 -14.75
Pont2 Pont2_Sect_8 Straight CC2_7 -13.5 23.3826859 -14.75 CC2_8 -15.5 26.8467875 -14.75
Pont2 Pont2_Sect_9 Straight CC2_8 -15.5 26.8467875 -14.75 Pont2 RB_BotCol2 Pont2 User-defined UDC_0
Pont2 Pont2_Sect_10 Straight Pont2 RB_BotCol2 Pont2 User-defined UDC_0 Col2 RB_BotCol2 Center2 User-defined UDC_0
Pont3 Pont3_Sect_1 Straight CC3 RB_BaseCC Center User-defined UDC_0 CC_pont3 RB_BaseCC CC-COL3 User-defined UDC_0
Pont3 Pont3_Sect_2 Straight CC_pont3 RB_BaseCC CC-COL3 User-defined UDC_0 CC3_2 -4.5 -7.79422863 -14.75
Pont3 Pont3_Sect_3 Straight CC3_2 -4.5 -7.79422863 -14.75 CC3_3 -6 -10.3923048 -14.75
Pont3 Pont3_Sect_4 Straight CC3_3 -6 -10.3923048 -14.75 CC3_4 -7.5 -12.9903811 -14.75
Pont3 Pont3_Sect_5 Straight CC3_4 -7.5 -12.9903811 -14.75 CC3_5 -9.5 -16.4544827 -14.75
Pont3 Pont3_Sect_6 Straight CC3_5 -9.5 -16.4544827 -14.75 CC3_6 -11.5 -19.9185843 -14.75
Pont3 Pont3_Sect_7 Straight CC3_6 -11.5 -19.9185843 -14.75 CC3_7 -13.5 -23.3826859 -14.75
Pont3 Pont3_Sect_8 Straight CC3_7 -13.5 -23.3826859 -14.75 CC3_8 -15.5 -26.8467875 -14.75
Pont3 Pont3_Sect_9 Straight CC3_8 -15.5 -26.8467875 -14.75 Pont3 RB_BotCol3 Pont3 User-defined UDC_0
Pont3 Pont3_Sect_10 Straight Pont3 RB_BotCol3 Pont3 User-defined UDC_0 Col3 RB_BotCol3 Center3 User-defined UDC_0
Skirt1 Skirt1_Sect_1 Straight BotSk1 RB_BotCol1 Skirt11 User-defined UDC_0 TopSk1 RB_BotCol1 Skirt12 User-defined UDC_0
Skirt2 Skirt2_Sect_1 Straight BotSk2 RB_BotCol2 Skirt21 User-defined UDC_0 TopSk2 RB_BotCol2 Skirt22 User-defined UDC_0
Skirt3 Skirt3_Sect_1 Straight BotSk3 RB_BotCol3 Skirt31 User-defined UDC_0 TopSk3 RB_BotCol3 Skirt32 User-defined UDC_0
Brace1 Brace1_Sect_1 Straight CC1 RB_TopCC Brace1 User-defined UDC_0 Col1 RB_TopCol1 Brace1 User-defined UDC_0
Brace2 Brace2_Sect_1 Straight CC2 RB_TopCC Brace2 User-defined UDC_0 Col2 RB_TopCol2 Brace2 User-defined UDC_0
Brace3 Brace3_Sect_1 Straight CC3 RB_TopCC Brace3 User-defined UDC_0 Col3 RB_TopCol3 Brace3 User-defined UDC_0
aero_WTG aero_WTG_Sect_1 Straight Down RG_WTG_simple hub-low User-defined UDC_0 Up RG_WTG_simple hub-high User-defined UDC_0
Tower Tower_Sect_1 Straight End_Down CCentral BotTower User-defined UDC_0 YawB 0 0 143.582

** Appendix 3 segment

Section reference Name Length  (m) Target element length (m) Number of elements Segment type reference
CCentral_Sect_1 SecCC_fake 3.75 1 CC_fake
CCentral_Sect_2 CCSUB1 5.06 1 CCpro1
CCentral_Sect_3 CCSUB2 5.06 1 CCpro2
CCentral_Sect_4 CCSUB3 5.06 1 CCpro3
CCentral_Sect_5 CCSUB4 5.06 1 CCpro4
CCentral_Sect_6 CCSUB5 2.06 1 CCpro5
CCentral_Sect_7 TopCC 3 1 CCpro6
CCentral_Sect_8 Transition 0.7 1 Transipro
CExt1_Sect_1 BotC1 3.75 1 Cext_fake
CExt1_Sect_2 C1SUB1 5.06 1 Cextpro1
CExt1_Sect_3 C1SUB2 5.06 1 Cextpro2
CExt1_Sect_4 C1SUB3 5.06 1 Cextpro3
CExt1_Sect_5 C1SUB4 5.06 1 Cextpro4
CExt1_Sect_6 C1SUB5 2.06 1 Cextpro5
CExt1_Sect_7 TopC1 3 1 Cextpro6
CExt2_Sect_1 BotC2 3.75 1 Cext_fake
CExt2_Sect_2 C2SUB1 5.06 1 Cextpro1
CExt2_Sect_3 C2SUB2 5.06 1 Cextpro2
CExt2_Sect_4 C2SUB3 5.06 1 Cextpro3
CExt2_Sect_5 C2SUB4 5.06 1 Cextpro4
CExt2_Sect_6 C2SUB5 2.06 1 Cextpro5
CExt2_Sect_7 TopC2 3 1 Cextpro6
CExt3_Sect_1 BotC2 3.75 1 Cext_fake
CExt3_Sect_2 C3SUB1 5.06 1 Cextpro1
CExt3_Sect_3 C3SUB2 5.06 1 Cextpro2
CExt3_Sect_4 C3SUB3 5.06 1 Cextpro3
CExt3_Sect_5 C3SUB4 5.06 1 Cextpro4
CExt3_Sect_6 C3SUB5 2.06 1 Cextpro5
CExt3_Sect_7 TopC2 3 1 Cextpro6
Pont1_Sect_1 Pon1CC 6 1 ponton_fake
Pont1_Sect_2 Pon1SUB1 4 1 pontonpro1
Pont1_Sect_3 Pon1SUB2 4 1 pontonpro2
Pont1_Sect_4 Pon1SUB3 4 1 pontonpro3
Pont1_Sect_5 Pon1SUB4 4 1 pontonpro4
Pont1_Sect_6 Pon1SUB5 4 1 pontonpro5
Pont1_Sect_7 Pon1SUB6 3 1 pontonpro6
Pont1_Sect_8 Pon1SUB7 3 1 pontonpro7
Pont1_Sect_9 Pon1SUB8 3 1 pontonpro8
Pont1_Sect_10 Pon1COL1 8 1 ponton_fake
Pont2_Sect_1 Pon2CC 6 1 ponton_fake
Pont2_Sect_2 Pon2SUB1 4 1 pontonpro1
Pont2_Sect_3 Pon2SUB2 4 1 pontonpro2
Pont2_Sect_4 Pon2SUB3 4 1 pontonpro3
Pont2_Sect_5 Pon2SUB4 4 1 pontonpro4
Pont2_Sect_6 Pon2SUB5 4 1 pontonpro5
Pont2_Sect_7 Pon2SUB6 3 1 pontonpro6
Pont2_Sect_8 Pon2SUB7 3 1 pontonpro7
Pont2_Sect_9 Pon2SUB8 3 1 pontonpro8
Pont2_Sect_10 Pon2COL2 8 1 ponton_fake
Pont3_Sect_1 Pon3CC 6 1 ponton_fake
Pont3_Sect_2 Pon3SUB1 4 1 pontonpro1
Pont3_Sect_3 Pon3SUB2 4 1 pontonpro2
Pont3_Sect_4 Pon3SUB3 4 1 pontonpro3
Pont3_Sect_5 Pon3SUB4 4 1 pontonpro4
Pont3_Sect_6 Pon3SUB5 4 1 pontonpro5
Pont3_Sect_7 Pon3SUB6 3 1 pontonpro6
Pont3_Sect_8 Pon3SUB7 3 1 pontonpro7
Pont3_Sect_9 Pon3SUB8 3 1 pontonpro8
Pont3_Sect_10 Pon3COL3 8 1 ponton_fake
Skirt1_Sect_1 SKT1 0.4 1 skirtpro
Skirt2_Sect_1 SKT2 0.4 1 skirtpro
Skirt3_Sect_1 SKT3 0.4 1 skirtpro
Brace1_Sect_1 Br1 30.75 2 Bracepro
Brace2_Sect_1 Br2 30.75 2 Bracepro
Brace3_Sect_1 Br3 30.75 2 Bracepro
aero_WTG_Sect_1 seg1 1 1 aeropro
Tower_Sect_1 seg_1 13 4 Tower_S1
Tower_Sect_1 seg_2 13 4 Tower_S2
Tower_Sect_1 seg_3 13 4 Tower_S3
Tower_Sect_1 seg_4 13 4 Tower_S4
Tower_Sect_1 seg_5 13 4 Tower_S5
Tower_Sect_1 seg_6 13 4 Tower_S6
Tower_Sect_1 seg_7 13 4 Tower_S7
Tower_Sect_1 seg_8 13 4 Tower_S8
Tower_Sect_1 seg_9 13 4 Tower_S9
Tower_Sect_1 seg_10 11.582 3 Tower_S10

** Appendix 4 generic lines

Name Lineic mass (kg/m) Axial stiffness (N) Bending stiffness in local axis X (N.m2) Bending stiffness in local axis Y (N.m2) Torsion stiffness (N.m2/rad) Shear stiffness in local axis X (N) Shear stiffness in local axis Y (N) Polar inertia X (kg.m) Polar inertia Y (kg.m) Polar inertia Z (kg.m) Internal cross section (mm2) End cap effect area (mm2) Buoyancy area  (mm2)
CCpro1 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
CCpro2 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
CCpro3 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
CCpro4 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
CCpro5 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
CCpro6 3.02E+04 4.83E+11 5.57E+12 5.57E+12 4.64E+12 4.02E+11 4.02E+11 3.48E+05 3.48E+05 6.96E+05 6.65E+04 7.85E+07 7.85E+07
Cextpro1 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
Cextpro2 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
Cextpro3 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
Cextpro4 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
Cextpro5 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
Cextpro6 4.43E+04 7.09E+11 1.76E+13 1.76E+13 1.47E+13 5.91E+11 5.91E+11 1.10E+06 1.10E+06 2.20E+06 1.47E+05 1.65E+08 1.65E+08
pontonpro1 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro2 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro3 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro4 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro5 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro6 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro7 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
pontonpro8 4.24E+04 6.78E+11 6.66E+12 1.88E+13 1.26E+13 5.65E+11 5.65E+11 4.16E+05 1.17E+06 9.45E+05 9.18E+04 1.09E+08 1.09E+08
skirtpro 5.16E+05 1.07E+12 3.53E+14 3.53E+14 2.71E+14 8.94E+11 8.94E+11 2.20E+07 2.20E+07 4.41E+07 1.65E+02 3.72E+08 3.72E+08