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Sensitivity analysis performed with 10% step change of the<br />

avoided costs of energy and annual costs is shown on figure<br />

6.<br />

Years<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-20% -10% 0% 10% 20%<br />

2,08 2,34 2,6 2,86 3,12<br />

Avoided costs of energy (EUR/gal), 10%<br />

step change<br />

200 -20%<br />

225 -10%<br />

250 0%<br />

275 10%<br />

300 20%<br />

Annual costs<br />

(EUR), 10%<br />

step change<br />

Fig. 6. Sensitivity analysis graph showing the year-to-positive cash flow<br />

when the avoided costs of energy and the annual costs are changed with<br />

10% step change<br />

2) Avoiding Grid Extension<br />

When avoiding grid extension, similar analysis have<br />

been performed, assuming that the avoided cost of energy<br />

would be 0,05 €/kWh. The other parameters have been kept<br />

the same. The cumulative cash flow is shown on figure 7.<br />

The cumulative cash flow shows that even after 30 years,<br />

year-to-positive cash flow would not be achieved. The<br />

analysis did not take in consideration any promoting<br />

measures for RES. The avoided cost of energy was set to the<br />

actual electricity price, but changes in electricity price<br />

should be expected.<br />

Cumulative cash flow (EUR)<br />

-125000<br />

-126000<br />

-127000<br />

-128000<br />

-129000<br />

-130000<br />

-131000<br />

-132000<br />

-133000<br />

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31<br />

years<br />

Fig. 7. Cumulative cash flow when grid extension is avoided<br />

If the price of electricity is set higher, the year-positive-cash<br />

flow would be achieved sooner. The figure 8 shows the<br />

cumulative cash flow, assuming electricity price of 0,5<br />

€/kWh, which is 10 times higher than the starting point.<br />

Cumulative cash flow (EUR)<br />

50000<br />

0<br />

-50000<br />

-100000<br />

-150000<br />

1 4 7 10 13 16 19 22 25 28 31<br />

years<br />

Fig. 8. Cumulative cash flow when grid extension is avoided when higher<br />

prices of electricity are taken in consideration<br />

Even with this price, the year-to-positive cash flow would<br />

be achieved after the thirtieth project year. After applying<br />

sensitivity analysis to the second case, the prices for which<br />

the year-to-positive cash flow is obtained were determined.<br />

Figure 9 shows the year-to-positive cash flow assuming<br />

different values for avoided costs for energy.<br />

Years<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-20% -10% 0% 10% 20%<br />

0,4 0,45 0,5 0,55 0,6<br />

Avoided costs of energy (EUR/kWh)<br />

105.245 -20%<br />

118.400 -10%<br />

131.556 0%<br />

144.712 10%<br />

157.867 20%<br />

Initial<br />

costs(EUR),<br />

with 10%<br />

step change<br />

Fig. 9. Sensitivity analysis graph showing the year-to-positive cash flow<br />

when the avoided costs of energy and the initial costs are changed with<br />

10% step change<br />

Sensitivity analysis was carried out changing the avoided<br />

costs of energy and annual costs, again with step change of<br />

10% and the results are given in figure 10.<br />

Years<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-20% -10% 0% 10% 20%<br />

0,4 0,45 0,5 0,55 0,6<br />

Avoided costs of energy (EUR/kWh)<br />

200 -20%<br />

225 -10%<br />

250 0%<br />

275 10%<br />

300 20%<br />

5<br />

Annual<br />

costs<br />

(EUR),<br />

10% step<br />

change<br />

Fig. 10. Sensitivity analysis graph showing the year-to-positive cash flow<br />

when the avoided costs of energy and the annual costs are changed with<br />

10% step change<br />

The cumulative cash flow analysis were made<br />

considering the electricity grid as base system and assuming<br />

that the avoided costs for energy would be equal to the<br />

electricity price that the consumer would have to pay if the<br />

location was connected to the electricity grid. Further<br />

analysis should be made in order to estimate the costs for<br />

building and maintaining a distribution line to the location<br />

and compare them to the costs for building and maintaining<br />

the small PV system.<br />

III. CONCLUSION<br />

T<br />

HE estimation of costs for RES applications to isolated<br />

regions can be made using different software<br />

applications. The analyses in this paper were done with<br />

RETScreen, which is a software package with more detailed<br />

economic model. Only basic analyses were performed, not

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