Info

1.570

The load for January is

max l

16.74 X 109

X, = AcFrUl(100)At = 50 X 5.92 X 100 X 24 X 31 X 3600 = 4 74 L 16.74 X 109 .

The storage parameter, Rs, is estimated with Eq. (11.49):

s Mcp 5000 X 4.19 50

Finally, f can be calculated from Eq. (11.48). The solar contribution is fL. The calculations for the other months are shown in Table 11.14. The use of a spreadsheet program greatly facilitates calculations.

Table 11.14 Monthly Calculations for Example 11.12

Month

c,min

max

max

V'

L (GJ)

f

fL (GJ)

Jan.

0.83

0.229

0.230

4.74

16.74

0.22

3.68

Feb.

0.68

0.274

0.334

4.74

15.12

0.32

4.84

March

0.57

0.315

0.445

4.74

16.74

0.42

7.03

April

0.51

0.355

0.519

4.74

16.20

0.48

7.78

May

0.45

0.390

0.602

4.74

16.74

0.55

9.21

June

0.39

0.445

0.713

4.74

16.20

0.64

10.37

July

0.35

0.494

0.804

4.74

16.74

0.71

11.89

Aug.

0.35

0.497

0.809

4.74

16.74

0.71

11.89

Sept.

0.37

0.478

0.771

4.74

16.20

0.68

11.02

Oct.

0.47

0.398

0.567

4.74

16.74

0.52

8.70

Nov.

0.65

0.300

0.342

4.74

16.20

0.32

5.18

Dec.

0.89

0.222

0.203

4.74

16.74

0.20

3.35

Total =

197.10

Total

= 94.94

598 Designing and Modeling Solar Energy Systems The annual fraction is given by Eq. (11.12): V /iLi 94 94

V Li 197.10

It should be pointed out that the /-chart method overestimates the monthly solar fraction, /. This is due to assumptions that there are no losses from the storage tank and that the heat exchanger is 100% efficient. These assumptions require certain corrections, which follow.

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