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Wind Power in Power Systems

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454 Areas with Limited Transmission Capacity<br />

The Swedish Government proposed a bill (Governmental Bill 2001/02: 143) on<br />

plann<strong>in</strong>g objectives for w<strong>in</strong>d power. Accord<strong>in</strong>g to this bill, the objective of 10 TWh of<br />

w<strong>in</strong>d power production per year has to be achieved up to 2015. The bill was passed <strong>in</strong><br />

2002 and s<strong>in</strong>ce then several studies have been conducted <strong>in</strong> order to draw up prerequisites<br />

for the <strong>in</strong>tegration of w<strong>in</strong>d power <strong>in</strong> Sweden.<br />

Energimyndigheten, the country’s energy authority, has prepared a report po<strong>in</strong>t<strong>in</strong>g<br />

out areas that have suitable conditions for the <strong>in</strong>tegration of w<strong>in</strong>d power. One alternative<br />

that was suggested was to develop large-scale w<strong>in</strong>d power <strong>in</strong> the mounta<strong>in</strong>ous<br />

area <strong>in</strong> the north of the country. Favourable w<strong>in</strong>d conditions and better economic<br />

conditions than for offshore w<strong>in</strong>d farms make the area attractive for this purpose, even<br />

though the transmission capacity is limited.<br />

In 2002, the Swedish government commissioned TSO Svenska Kraftna¨ t to def<strong>in</strong>e<br />

general prerequisites for an <strong>in</strong>tegration of large-scale w<strong>in</strong>d power (10 TWh) <strong>in</strong> the<br />

mounta<strong>in</strong> area and offshore. The result<strong>in</strong>g report considers a case with 4000 MW of<br />

<strong>in</strong>stalled capacity with a utilisation time of 2500 h <strong>in</strong> northern Sweden (Arnborg, 2002).<br />

Accord<strong>in</strong>g to the report, five new 400 kV transmission l<strong>in</strong>es at a total cost of SEK20<br />

billion would be required to guarantee electricity transmission available for 100 % of the<br />

year (for the exchange rate, see Footnote 1, page 444).<br />

Assumptions and results<br />

The follow<strong>in</strong>g assumptions are made:<br />

. Data from 2001 were used to arrive at the probability distributions.<br />

. Only the <strong>in</strong>ner transmission limit is considered. It is assumed that exports to neighbour<strong>in</strong>g<br />

countries are not affected.<br />

. The transmission limit is assumed to be constant.<br />

. <strong>Power</strong> generated <strong>in</strong> northern Sweden can be consumed <strong>in</strong> the central and southern<br />

parts of the country.<br />

. Only active power flows are considered, assum<strong>in</strong>g that reactive power compensation<br />

can be controlled <strong>in</strong> hydro power plants.<br />

. Variations of active power output at w<strong>in</strong>d farms are not compensated by regulation at<br />

hydro power plants.<br />

In addition, w<strong>in</strong>d speed measurements available from the exist<strong>in</strong>g w<strong>in</strong>d turb<strong>in</strong>es <strong>in</strong><br />

Sourva (northern Sweden) were used. The expected power output is obta<strong>in</strong>ed from a<br />

typical power curve for a pitch-regulated w<strong>in</strong>d turb<strong>in</strong>e. The calculated power output was<br />

then scaled up to represent different levels of <strong>in</strong>stalled capacity.<br />

Figure 20.10 illustrates the percentage of w<strong>in</strong>d energy that has to be spilled at various<br />

w<strong>in</strong>d power penetration levels. The results were obta<strong>in</strong>ed by us<strong>in</strong>d the probabilistic and<br />

the simplified method. For a comparison, the calculation is also perfomed to obta<strong>in</strong><br />

hourly values <strong>in</strong> 2001. Here, w<strong>in</strong>d power production is modelled us<strong>in</strong>g hourly w<strong>in</strong>d<br />

speed measurements from Sourva and scal<strong>in</strong>g up the power output <strong>in</strong> order to represent<br />

different levels of <strong>in</strong>stalled capacity. Actual hourly power transmission from 2001 is<br />

<strong>in</strong>cluded <strong>in</strong> the analysis. The expected power transmission with w<strong>in</strong>d power is calculated<br />

by summ<strong>in</strong>g these two variables for each hour. The result<strong>in</strong>g power transmission is<br />

compared with the transmission limit of 7000 MW and the annual energy spillage is<br />

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