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352    CHAPTER 11 Energy Management for PV Installations




                            The fill factor describes how square the I pv eV pv curve is. It is defined as
                         follows:

                                                 P pv max  V pv max $I pv max
                                             FF ¼       ¼                              (11.3)
                                                  V oc $I sc  V oc $I sc
                         where V oc and I sc are, respectively, the open-circuit voltage and short-circuit current.
                            So, the maximum efficiency can be expressed as:
                                                           FF$V oc $I sc
                                                 h pv max  ¼                           (11.4)
                                                           S pv $1000
                            The most efficient solar panels commercially available today have solar panel
                         efficiency just above 20%.



                         3. ENERGY MANAGEMENT FOR PHOTOVOLTAIC
                            INSTALLATIONS
                         3.1 PHOTOVOLTAIC SYSTEMS WITH STORAGE
                         3.1.1 Photovoltaic Systems with Battery Storage
                         The structure generally includes a PV generator, DC/DC converters, a battery bank,
                         and an inverter supplying a stand-alone load. The schematic structure can be repre-
                         sented as in Fig. 11.2 [35].
                            The key decision factors for the EM strategies are the power P pv provided by PV
                         panels and the SOC of the batteries. The use of the management allows producing
                         maximum power from the PV array, protect the batteries against overcharge, and
                         deep discharge and satisfy the energy needs.





                                              DC/DC

                             PV panels                                  DC/AC
                                                               Power Management    Stand-alone


                                                                                      load
                                               DC/DC

                             Battery bank


                         FIGURE 11.2
                         Schematic PV system with battery storage.
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