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78                  Low-Temperature Energy Systems with Applications of Renewable Energy

























         Fig. 2.23 Temperature variations of the heat collection system from a soil array during a heating
         period: 1, working fluid temperature at the HEO; 2, soil temperature close to HEO at 3 m depth;
         3, far-field soil temperature at 3 m depth.




         t w.f. ¼ 30, 40 and 50 C. The calculations were performed at an ambient temperature

         of  20 C and a working fluid temperature at the evaporator inlet t in  ¼ 3 C.

                                                                    ev
         Substituting the corresponding values into Eq. (2.17) and taking into account Eqs.
         (2.14) and (2.15), we obtain the results graphically presented in Fig. 2.24.
            It is seen that for each value of the factor A there is an optimal value of working fluid
         temperature at the evaporator outlet at which the specific external energy losses are
         minimized.
            The qualitative results for the soil heat source are very similar to the previous cases
         of air and water heat sources. Figure 2.25, for a working fluid temperature t c  ¼
                                                                         hc

         40 C, displays the same trends as Figs. 2.20 and 2.22 for air and water heat sources,
         respectively. Approximation of the curves shown in Fig. 2.25 can be obtained using
         logarithmic coordinates, and yields the following correlation:
             Dt opt  ¼ 13:5A 0:5                                        (2.21)
               cp



         2.7   Summary

         This chapter reviews the main systems using heat pumps in heat supply systems for
         buildings using various heat sources. Analytical and practical methods together with
         numerical examples of typical calculations are given.
            It is possible to use heat pumps effectively in heating and air conditioning systems
         in residential, administrative and industrial buildings, in shopping centers, sporting
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