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Final report for WP4.3: Enhancement of design methods ... - Upwind

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Sequential coupling<br />

The sequential coupling approach consists <strong>of</strong> a series <strong>of</strong> separated simulations. The simulation tools are<br />

kept separate and are applied one after the other. This coupling approach has been realised with Flex5<br />

and ASAS(NL) [5]. ASAS(NL) is a finite element tool specifically developed <strong>for</strong> <strong>of</strong>fshore applications. The<br />

overall time integration <strong>of</strong> Flex5 is used to solve the equations <strong>of</strong> motion. A reduced generalised foundation<br />

model with six degrees <strong>of</strong> freedom is needed <strong>for</strong> representing the complex sub-structure. This reduced<br />

model is created in the finite element tool out <strong>of</strong> the detailed finite element model. Besides the<br />

model the hydrodynamic loading history is treated analogously. Parts <strong>of</strong> the results (internal <strong>for</strong>ces or displacements)<br />

from Flex5 are transferred back as boundary conditions to the finite element tool, which allows<br />

a retrieval simulation in the finite element tool to obtain member <strong>for</strong>ces in the complex foundation<br />

model. The flow chart <strong>of</strong> the sequential approach is shown in Figure 2.1.<br />

Advantages and disadvantages<br />

The two simulation tools do not interact directly, which makes the modifications in the codes simple. The<br />

computational ef<strong>for</strong>t is higher than a stand-alone simulation in Flex5 because <strong>of</strong> the additional retrieval<br />

run. The coupling is missing dynamic interactions between the sub-structure and specific phenomena <strong>of</strong><br />

the wind turbine due to the strong reduced foundation model. An outcome <strong>of</strong> this missing link is that the<br />

internal <strong>for</strong>ces calculated in the retrieval run are different compared to an integrated solution. This coupling<br />

approach can only represent linear problems <strong>of</strong> the foundation, as any non-linear problem is linearised<br />

during the reduction process. The calculation <strong>of</strong> hydrodynamic loading is based on a fixed structure,<br />

as the motion <strong>of</strong> the overall wind turbine is unknown to this point.<br />

FE-Code: ASAS Flex5<br />

Detailed sub-structure<br />

model<br />

Generation <strong>of</strong><br />

hydrodynamic loading<br />

Reduction to a Flex5<br />

equivalent foundation model<br />

(Stiffness, damping, mass, loading)<br />

Retrieval run:<br />

Force or de<strong>for</strong>mation<br />

boundary conditions <strong>of</strong> Flex5<br />

12<br />

Generating the<br />

wind turbine model<br />

Foundation import<br />

Aero-hydro-elastic<br />

time integration<br />

Post-processing Post-processing<br />

Figure 2.1: Flow chart <strong>of</strong> the sequential coupling approach<br />

Full integrated coupling<br />

The most accurate simulation <strong>of</strong> <strong>of</strong>fshore wind turbines (OWT) with complex sub-structures is achieved if<br />

the complete set <strong>of</strong> equations <strong>of</strong> motion <strong>of</strong> the entire <strong>of</strong>fshore model is solved in one numerical solver. To<br />

do so, the equations <strong>of</strong> Flex5 need to be combined with the equations <strong>of</strong> the finite element code. The interface<br />

point is the connection between the tower and the sub-structure. Similar to the sequential approach<br />

Flex5 is used to model the wind turbine and to compute the aerodynamic loading. The finite element<br />

code is used to model the sub-structure and to compute the hydrodynamic loading. An interface,<br />

accessible by both tools, is employed to exchange parts <strong>of</strong> the equations <strong>of</strong> motion <strong>of</strong> the tools during runtime.<br />

The wind turbine model <strong>of</strong> Flex5 is considered as a super-element in the finite element code with a<br />

maximum number <strong>of</strong> 28 degrees <strong>of</strong> freedom. The other way round would end up in an enormous amount<br />

<strong>of</strong> work because it is difficult to introduce further degrees <strong>of</strong> freedom in Flex5.

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