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Annex c – details on the Methodology and Models<br />

The consortium has therefore decided to develop a<br />

case-<strong>in</strong>dependent model, which is an abstract model<br />

that can help to do extensive sensitivity analysis <strong>in</strong><br />

an efficient manner. The results are cross-checked<br />

with the case study results from the real model. The<br />

case-<strong>in</strong>dependent model uses <strong>in</strong>puts from both the<br />

<strong>in</strong>frastructure and power system model. Instead of do<strong>in</strong>g<br />

an optimisation process for each hour of the year,<br />

it aims at approach<strong>in</strong>g the cost-benefit results based<br />

on average values and with simple straightforward<br />

rules. Consequently, it provides an approximate but<br />

robust result that allows quickly assess<strong>in</strong>g whether it<br />

is worth to <strong>in</strong>vestigate the case <strong>in</strong> more detail.<br />

As with the comb<strong>in</strong>ation of the models of section<br />

C.II and C.III, the costs and benefits are compared<br />

for different designs, where costs and benefits are<br />

def<strong>in</strong>ed as:<br />

• <strong>Infrastructure</strong> costs (depend<strong>in</strong>g on cable length<br />

and capacity)<br />

• System benefits = present value of yearly trade<br />

benefits, which are def<strong>in</strong>ed as the sum of the product<br />

of hourly price difference between countries<br />

and the hourly rema<strong>in</strong><strong>in</strong>g capacity for trade (<strong>in</strong>terconnector<br />

capacity not used by w<strong>in</strong>d power)<br />

The model is built <strong>in</strong> Matlab and focuses on two design<br />

problems, namely the tee<strong>in</strong>g-<strong>in</strong> of w<strong>in</strong>d farms <strong>in</strong>to<br />

an <strong>in</strong>terconnector between two countries, and the <strong>in</strong>terconnection<br />

of two countries via two offshore w<strong>in</strong>d<br />

farm hubs <strong>in</strong> between. As <strong>in</strong>puts, it uses:<br />

• <strong>Infrastructure</strong> cost tables (vary<strong>in</strong>g with distance<br />

and capacity) developed by SEL for:<br />

– <strong>in</strong>dividual connection of w<strong>in</strong>d farms<br />

– tee<strong>in</strong>g-<strong>in</strong> of w<strong>in</strong>d farms<br />

– direct <strong>in</strong>terconnector<br />

– <strong>in</strong>terconnector between hubs<br />

• Market price profiles and the difference between<br />

them for different countries (outcome of the power<br />

system model by SINTEF)<br />

• Time series for the w<strong>in</strong>d power production of a w<strong>in</strong>d<br />

farm (data from Forw<strong>in</strong>d model used)<br />

126<br />

The objective of the case-<strong>in</strong>dependent model is to<br />

have concrete design guidel<strong>in</strong>es that are useful for<br />

various stakeholders. To this end, an extensive sensitivity<br />

analysis is done that looks <strong>in</strong>to the impact of the<br />

price difference between countries, to the impact of<br />

cable or w<strong>in</strong>d farm capacities, to the impact of cable<br />

lengths and reduced cable length, and to the direction<br />

of the price difference. The model can vary the follow<strong>in</strong>g<br />

parameters:<br />

• Average absolute price difference between<br />

countries<br />

• Balance of the price difference between countries<br />

(balanced flow with 50% of price difference to either<br />

country or balanced more towards one of the two<br />

countries)<br />

• Distance between onshore connection po<strong>in</strong>ts<br />

(cable length direct <strong>in</strong>terconnector)<br />

• Distance between hubs and onshore connection<br />

po<strong>in</strong>ts<br />

• Distance between hubs (possible reduction <strong>in</strong> cable<br />

length vs. a direct <strong>in</strong>terconnector)<br />

• Capacity of the w<strong>in</strong>d farm(s)<br />

• Capacity of the cables<br />

<strong>Offshore</strong>Grid – F<strong>in</strong>al Report

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