Page 177 - A Comprehensive Guide to Solar Energy Systems
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178  A CoMPrehensIVe GuIde To soLAr enerGy sysTeMs



             circuit. For reliable outdoor operation over a long period (20–30 years), the cells must be
             properly encapsulated to ensure protection from the weather, including humidity; the
             withstanding of mechanical loads; protection from impacts; and electrical isolation from
             supporting constructions. Most modules are constructed in a form of a flat plate creating
             a solid substrate to support the PV cells. such flat modules are usually fitted in a frame to
             enhance the mechanical stability. on the back surface of flat modules a junction box is
             fitted, in which the electrical connections to PV cells are connected to the output wires
             which are used to connect the module to the PV system. In thin film technologies, flexible
             modules can be made for special applications.
                optical losses can occur as a result of refraction at the interface between air and the
             transparent encapsulating material; absorption in the encapsulating material; and refrac-
             tion on the interface between the encapsulating material and PV cells (refraction index of
             the cell antireflection coating should be accommodated to refraction index of the encapsu-
             lating material). optical losses can also occur as a result of the angular distribution of light.
                The operating temperature T c  of cell encapsulated in a module is higher than the am-
             bient temperature. The input radiation power absorbed in PV cells is partially converted
             in the output electrical power and the rest is converted to heat that is dissipated into the
             surroundings. Considering a relatively low temperature difference between the PV cells
             and the ambient, convection is assumed as the main mechanism for heat dissipation in
             terrestrial, flat plate applications. on this basis, a simplifying assumption is made that the
             cell-ambient temperature increases linearly with irradiance G r  and that the cell tempera-
             ture T c  in a module of efficiency η can be expressed as

 Tc=Ta+rthcaGr(1−η),                         T c  =T a  +r thca G (1 − η),               (8.30)
                                                        r
             where r thca  is the thermal resistivity between the cell and ambient.
                The thickness and thermal conductivity of individual layers of the module structure are
             important for reaching a low thermal resistivity r thca  of the module that depends also on
             convection conditions (e.g., speed of wind).
                To estimate the average cell temperature in the module, manufacturers provide (in the
             parameter list) the noCT parameter, which is defined as the cell temperature under con-
                                      −2
                                                                                       −1
             ditions: irradiance 800 W m , ambient temperature 25°C, and wind speed 1 m s . The
             noCT parameter can help evaluate loses connected with enhanced cell temperature un-
             der real operating conditions.
                under external conditions, modules are exposed to various external stresses such as
             temperature changes, mechanical stress (from wind, snow, hail, etc.), moisture (originat-
             ing from rain, dew, and frost), agents transported via atmosphere (dust, sand, and other
             agents), and solar radiance (including the highly energetic uV radiation).

             8.5.3  Local Shading and Hot Spot Formation

             under real conditions, PV modules can be partially shaded from a neighboring object (a
             tree, a part of building, etc.) or by a local front surface obstructions (e.g., by leaves fallen
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