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Design method for s-CO2 gas turbine power plants

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Design method for s-CO2 gas turbine power plants ( design-method-s-co2-gas-turbine-power-plants )

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4-2 Solar tower power plant 83 distance is a choice dependent on the desired blocking factor (see equation (4-62)). If the aim is to have a constant blocking factor, this expression can be reordered,   (1 − fSB )wr 􏰃√ 2 􏰄LHT. (4-63) HR 2wr− If ∆R is lower than the minimum value for the safety diameter, DHT/2, the radius is adjusted to match this requirement. This procedure, proposed by Collado [11], has the advantage of a quick and simple prelim- inary layout of the heliostat field. However, as mentioned by this author, for deeper analysis it is necessary to obtain more accurate values for the blocking and the shading factors, the latter neglected in this work. 4-2-3 Correlations validation In order to test the validity of the procedure, the results implemented in the engineering software [44] are compared with those of the original work. The parameters used by Collado [10] are presented in Table 4-4. He takes several information from the power plant PSA located in Almeria, Spain. Table 4-4: Assumed values used in the validation of the heliostat field [10] cos(ω) ∆R=cos(ε )1− 1+wr +rSD Parameter Minimum radius first zone Tower optical height Receiver size Heliostat height Width to height ratio Location Latitude Standard deviation of sunshape Security distance ratio Spring equinox day Solar noon hour RMIN m THT m LRC m LHT m wr — — — φ ◦ σRC rad rSD — DAY — HOUR — Value 65.00 130.00 9.44 10.95 1.00 PSA, Almeria 37.00 2.51 · 10−3 0.30 81.00 12.00 The expression used to obtain ∆R, equation (4-63), is time dependent through cos(ω). As mentioned by Collado [11], the instantaneous power collected at the solar noon in the spring equinox has difference of 1.0% to 1.5 % with the annual average. Consequently, this instant can be used as the design point for the field distribution. Recall that this case is valid for the conditions of Almeria. For different locations it is recommendable to use an annual averaged method. The results of the calculations in the present study and those of the orgininal work are shown in Figure 4-15. Although there are slight differences between both charts, the results are virtually the same. As expected, the heliostats with the largest efficiency are located in the northern section of the field. Notice that the heliostats placed at the south of the tower are closer than those in the north, producing an asymmetric distribution. This is due to the calculation of the constant blocking factor, which affects more the northern heliostats because of their inclination that Master of Science Thesis J.S. Bahamonde Noriega

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