Offshore WInd Farm Optmization

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    Ofshore wind arm layout

    optimization using mathematicalprogramming techniques

    Renewable Energy Journal

    EnvironmentalHydraulics Institute“IH!antabria”"#antander" #pain$

    %eatriz &'rez" Roberto()nguez*" Ra*l+uanche

    ,ame- .ndre /elipe 0orres #enra

    &roessor- Richard (ar1 /rench

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    ,ature o 0he &roblem

    • Ofshore wind power is a renewable energy ogrowing relevance in current electric energysystems2

    • &resenting avorable wind conditions incomparison with the sites on land2

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    ,ature o 0he &roblem

    • However" the higher energy yield has tocompensate the increment in installation andmaintenance costs" thus the importance o

    optimizing resources$

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    3esign 4ariables

     0he e5act location coordinates o each turbine65i"yi72 ∨i 8 92$$$2, 0$ 0hese variables are

    integrated into the variable decision vector 5:R,t5; 

    as ollows-

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    !onstraints

    •  0he set o constraints determine which decisionsare admissible" i$e$ de

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    !onstraints

    • >ind arm area limits- 0urbines must be allocated to a prede

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    ObAective /unction

    • .nnual Energy &roduction 6.E&72• Equation which ta1es into consideration the

    wa1e efects and allows quantiying the

    bene

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    #teps to #olve &roblem

    • #tep 9- !ross sectionalarea intersection

    • #tep ;- 3e

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    #teps to #olve &roblem

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    #teps to #olve &roblem

    i7 0he starting points used toloo1 or conve5 subregions" ii7the local ma5ima and iii7 theglobal ma5imum$ ,ote that

    although there is noguarantee that xB is the trueglobal solution" the chances o

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    !onclusion

    • In order to veriy the efectiveness a test wasperormed using the +erman ofshore wind arm.lpha 4entus" yielding an increment o the

    e5pected annual power production o @$CDFcompared to the actual con