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356    CHAPTER 11 Energy Management for PV Installations




                            Therefore, the load power is given as:

                                                                                      (11.10)
                                         P load ¼ðK 2 þ K 1 Þ$P pv þðK 3 þ K 1 Þ$P batt
                         3.1.1.2 Second Structure of PMC
                         In this structure, four switches (K 1 ,K 2 ,K 3 , and K 4 ) have been used. The fourth
                         switch is used to store the power excess, if there is, in a derivate load or an auxiliary
                         source (Fig. 11.5).
                            The available power DP(Eq. (11.1)) has to be determinate. According to its
                         mathematical value, it is noticed in three cases. If DP > 0, the load will be supplied
                         by PV panels while the batteries are charging and if there will be an excess of power,
                         it will be dissipated through a dump load, hence, the need of adding the fourth switch
                         K 4 (Fig. 11.5). In the second case, where DP < 0, the load is supplied only by bat-
                         teries until their discharging, and in the last case, where DP ¼ 0, the load will be sup-
                         plied only by PV panels (Table 11.5).
                            The EM strategy of PV/battery system based on four switches can be represented
                         in the following flowchart (Fig. 11.6). Depending on the different tests on DP, P pv ,
                         P load , and SOC, the system operates in one of the different modes.
                            Mode 1: In this mode, the photovoltaic power (P pv > P load ) is quite sufficient to
                         supply the load and charge batteries.
                            Mode 2: The power supplied by PV panels is insufficient (0 < P pv < P load ); in
                         this case, the power of batteries is added to satisfy the power load demand. It is
                         the compensation mode.
                            Mode 3: This mode is operating when no energy provides from the PV generator
                         (P pv ¼ 0), so the batteries alone supply the load.






                                                                  R aux

                                                      K 4
                                     P pv
                                                      K 2


                                                     K 1  K 3
                                      SOC




                         FIGURE 11.5
                         Power management based on four switches (PV/battery system).
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