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Energiforsyning i Arktis – hvilken vej vælger Grønland? - Artek ...

Energiforsyning i Arktis – hvilken vej vælger Grønland? - Artek ...

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can be estimated for a given wind turbine<br />

when can be the estimated wind resource for a is given known. wind turbine<br />

when the wind resource is known.<br />

The energy extracted from a wind turbine<br />

comes The energy from extracted extracting from some a of wind the turbine kinetic<br />

energy comes from contained extracting in the some wind. of Imaging the kinetic an<br />

area, energy A, contained perpendicular in the to wind. the wind Imaging velocity an<br />

as area, shown A, perpendicular in Figure 1 to the wind velocity<br />

as shown in Figure 1<br />

Figure 1: Volume of air that has travelled<br />

through Figure 1: the Volume area, A, of with air that a speed has travelled of Vo in<br />

time through Δt. the area, A, with a speed of Vo in<br />

time Δt.<br />

The mass flow [kg/s ], that travel through<br />

this The area mass with flow a speed [kg/s of ], Vo that is travel through<br />

this area with a speed of Vo is<br />

(1)<br />

(1)<br />

where ρ denotes the air density slightly<br />

depending on temperature and atmospheric<br />

pressure but approximately 1.2 kg/m 3 where ρ denotes the air density slightly<br />

depending on temperature and atmospheric<br />

pressure but approximately 1.2 kg/m<br />

. For a<br />

large wind turbine rotor with a diameter of<br />

90 m and wind speed of 10 m/s the mass<br />

flow is around 76 tons/s. The kinetic<br />

energy, , contained in the air volume<br />

shown in Figure 1 is<br />

(2)<br />

and thus the available power (provided that<br />

the wind speed could be reduced to 0 m/s)<br />

3 . For a<br />

large wind turbine rotor with a diameter of<br />

90 m and wind speed of 10 m/s the mass<br />

flow is around 76 tons/s. The kinetic<br />

energy, , contained in the air volume<br />

shown in Figure 1 is<br />

(2)<br />

and thus the available power (provided that<br />

the wind speed could be reduced to 0 m/s)<br />

(3)<br />

(3)<br />

Equation (3) is very important since it tells<br />

us Equation that (3) the is available very important energy since per it time tells<br />

depends us that on the the available third power energy of per the wind time<br />

speed. depends As on an example the third a power site where of the wind<br />

speed speed. is As 80% an example of a neighbouring a site where place the wind will<br />

produce speed is only 80% 50% of a of neighbouring that neighbouring place site. will<br />

Therefore produce only the 50% economy of that of neighbouring a potential wind site.<br />

turbine Therefore depends the economy strongly of a on potential the wind<br />

resource. turbine depends strongly on the wind<br />

resource.<br />

8<br />

The available wind resources in 5<br />

settlements The available and in wind Sisimiut resources was estimated in in 5<br />

the settlements previously and in mentioned Sisimiut was two estimated projects, in<br />

Fyrtårnsbygd-083 the previously mentioned Sarfannguaq two [1] projects, and<br />

Projekt Fyrtårnsbygd-083 Vind- og Solenergi Sarfannguaq i Uummannaq [1] and [2]<br />

by Projekt buying Vind- and og Solenergi installing i Uummannaq meteorological [2]<br />

masts by buying at the and six sites installing shown in meteorological<br />

Figure 2. In<br />

a masts report at the from six the sites Danish shown in Meteorological<br />

Figure 2. In<br />

Institute a report DMI from [3] the a general Danish Meteorological<br />

description of<br />

the Institute climate DMI in [3] Greenland a general including description wind of is<br />

given. the climate The in southern Greenland part including of Greenland wind is<br />

touches given. The the southern westerlies part of Greenland located<br />

approximately touches the between westerlies 35 and 65 degrees located<br />

latitude. approximately The remaining between part 35 and of Greenland, 65 degrees is<br />

located latitude. in The a remaining much calmer part of wind Greenland, climate. is<br />

However, located in local a much phenomena, calmer wind such climate. as e.g.<br />

catabatic However, winds local phenomena, and complex such topography as e.g.<br />

also catabatic results winds in sites and with complex higher wind topography speeds.<br />

Local also results experience in sites was with used higher when wind deciding speeds.<br />

the Local location experience of the was six met used masts. when deciding<br />

the location of the six met masts.<br />

Figure 2: Placement of 6 10 m met masts<br />

from Figure NRG. 2: Placement of 6 10 m met masts<br />

from NRG.<br />

The results from collecting data from the six<br />

masts, The results see from [4], collecting is that data only from Sisimiut,<br />

the six<br />

masts, see [4], is that only Sisimiut,

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