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.

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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