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3. Energy Management for Photovoltaic Installations  353




                  3.1.1.1 First Structure of PMC
                  In this structure, it has used only three switches K 1 ,K 2 , and K 3 (Fig. 11.3). The
                  switch K 1 is used for the photovoltaic power flow while the second switch K 2 is
                  used for the battery power flow and the third one K 3 is used for both photovoltaic
                  and batteries for the compensation mode.
                     The available power (DP) given by the balance equation between photovoltaic
                  power and load power is calculated as [36]:

                                            DP ¼ P pv   P load                  (11.5)
                     According to the mathematical value of the available power (DP), it will obtain
                  two cases. If DP   0, the load will be supplied by PV panels while the batteries are
                  charging. In the second case, where DP < 0, the PV power can be null or insufficient
                  to feed the load; so batteries are added to satisfy the power load (Table 11.1).
                     Depending on the different tests on DP, P pv , and SOC, the system operates in one
                  of the following modes (Fig. 11.4). In this first structure, five different modes are
                  observed, which are the following:
                     Mode 1: In this mode, the photovoltaic power (P pv ) is quite sufficient to supply
                  the load and charge the batteries (so DP   0 and SOC < SOC max ).
                     Mode 2: The power supplied by PV panels is insufficient (0 < P pv < P load ); in
                  this case, the power of the batteries is added to satisfy the power load demand
                  (SOC > SOC min ). It is the compensation mode, so P load ¼ P pv þ P bat .





                                    P pv
                                                   K 2

                                                   K 1 K 3   P load
                                    SOC





                  FIGURE 11.3
                  Energy management based on three switches (PV/battery system).



                  Table 11.1 Different Cases of the Available Power in the First Configuration
                  (PV/Battery System)
                                DP          Load                    Batteries
                   Case 1                   Supplied by PV          Charging
                   Case 2       <           Supplied by batteries   Discharging
   375   376   377   378   379   380   381   382   383   384   385