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42     CHAPTER 1 Solar Cells and Arrays: Principles, Analysis, and Design





                         characteristics. At 20 C, the short circuit current of the module I sc ¼ 730 mA, the
                         open circuit voltage of the module ¼ 22 V, the maximum power P m ¼ 12 W, and the

                         module efficiency ¼ 12%. At 60 C, I sc ¼ 770 rnA, V oc ¼ 18 V, P m ¼ 10 W, and
                         h ¼ 10%. From the figure, we see further that I sc increases slightly with temperature,
                         V oc , P m , and h decrease with temperature. This behavior is similar to that of the solar
                         cells, which is expected because the parallel connection is a current multiplication
                         process while the series connection is a voltage multiplication process. The open cir-
                         cuit voltage per cell V oc /cell ¼ 22/n e ¼ 22/36 ¼ 0.61 V, and the short circuit current
                         per cell I sc /cell ¼ 730/n s ¼ 730/6 ¼ 122 mA. These values are in very close agree-
                         ment with those of the single cell.


                         5.5 THE SOLAR CELL ARRAY
                         The array is composed of solar modules connected according to certain configura-
                         tion to satisfy the voltage, the current, and the power requirement. If the array
                         voltage is V a , the array current is I a , and the array power is P a , one can determine
                         the number of the modules required and their circuit configuration. As an example,
                         using the modules with the characteristics given in Fig. 1.36, we can design an array
                         with V a ¼ 120 V, I a ¼ 4 A, and an output power w0.5 kW peak. The number of
                         modules connected in series ¼ 120 V/m ¼ 120 V/20V ¼ 6 and the number of mod-
                         ules strings connected in parallel ¼ 4A/I m ¼ 4/0.7 ¼ 6. Then the total number of
                         the modules ¼ 6   6 ¼ 36 modules. A protection diode may be commented in series
                         with the array to allow the passage of the current to the load only and prevent the
                         back current.


                         5.6 THE FLAT PLATE MODULES
                         Solar cells must be encapsulated to protect them against environmental effects and to
                         give them mechanical support for easy handling [32]. The terrestrial modules must
                         be hermetically sealed against the moisture. The following requirements must be
                         satisfied by the encapsulation:
                          1. rigidly support the mechanically weak solar cells
                          2. hermetically seal the solar cells against moisture
                          3. transparent for the solar radiation
                          4. withstand the environmental effects such as: (1) temperature cycling, (2) wind
                             forces, (3) rain and hail fall.
                          5. remain reliable for long times to be economically feasible (more than 10 years)
                          6. as cheap as possible
                          7. relief temperature cycling leading to thermomechanical stresses on solar cells
                             and interconnectors between them
                          8. have large area efficiency.
                          9. conduct the heat of the solar cells.
                         10. easily fabricated by simple processes.
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