8/17/2019 Offshore WInd Farm Optmization
1/11
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
8/17/2019 Offshore WInd Farm Optmization
2/11
,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
8/17/2019 Offshore WInd Farm Optmization
3/11
,ature o 0he &roblem
• However" the higher energy yield has tocompensate the increment in installation andmaintenance costs" thus the importance o
optimizing resources$
8/17/2019 Offshore WInd Farm Optmization
4/11
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-
8/17/2019 Offshore WInd Farm Optmization
5/11
!onstraints
• 0he set o constraints determine which decisionsare admissible" i$e$ de
8/17/2019 Offshore WInd Farm Optmization
6/11
!onstraints
• >ind arm area limits- 0urbines must be allocated to a prede
8/17/2019 Offshore WInd Farm Optmization
7/11
ObAective /unction
• .nnual Energy &roduction 6.E&72• Equation which ta1es into consideration the
wa1e efects and allows quantiying the
bene
8/17/2019 Offshore WInd Farm Optmization
8/11
#teps to #olve &roblem
• #tep 9- !ross sectionalarea intersection
• #tep ;- 3e
8/17/2019 Offshore WInd Farm Optmization
9/11
#teps to #olve &roblem
8/17/2019 Offshore WInd Farm Optmization
10/11
#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
8/17/2019 Offshore WInd Farm Optmization
11/11
!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