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366    CHAPTER 11 Energy Management for PV Installations




                         Table 11.14 Mathematically Cases Based on Three Switches of PV/Wind
                         Turbine/Battery System
                          Switches                          Powers
                                                    Modes
                          K 1     K 2      K 3              P Renew   P batt    P load
                          0       0        0        Mode 5  0         0         0
                          0       0        1        Mode 3  0         P batt    P batt
                          0       1        0        Mode 4  P Renew   0         P Renew
                          0       1        1        Mode 2  P Renew   P batt    P Renew þ P batt
                          1       0        0        X       X         X         X
                          1       0        1        X       X         X         X
                          1       1        0        Mode 1  P Renew   0         P Renew
                          1       1        1        X       X         X         X


                         Table 11.15 Simplified Table in the Case of Three Switches of PV/Wind
                         Turbine/Battery System

                          Switches                         Powers
                                                  Modes
                          K 1     K 2      K 3             P Renew   P batt    P load
                          0       0        0      Mode 5   0         0         0
                          0       0        1      Mode 3   0         P batt    P batt
                          0       1        0      Mode 4   P Renew   0         P Renew
                          0       1        1      Mode 2   P Renew   P batt    P Renew þ P batt
                          1       1        0      Mode 1   P Renew   0         P Renew




                         Table 11.16 Real Cases Based on Three Switches of PV/Wind Turbine/
                         Battery System
                          Modes     Sources     DP    SOC           K 1   K 2  K 3  P load
                          Mode 1    PV þ Wind    0    SOC < SOC max  1    1    0   P Renew
                          Mode 2    PV þ Wind þ  <0   SOC > SOC min  0    1    1   P Renew þ
                                    Battery                                        P batt
                          Mode 3    Battery     <0    SOC > SOC min  0    0    1   P batt
                          Mode 4    PV þ Wind    0    SOC ¼ SOC max  0    1    0   P Renew
                          Mode 5    /           <0    SOC ¼ SOC min  0    0    0   0





                         4. CONCLUSIONS

                         In this chapter, EM structures have been presented. In each structure, PV generators
                         are chosen to be the main source while others are used to obtain the compensation
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