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264    CHAPTER 8 Hybrid PV/Batteries Bank/Diesel Generator
















                         FIGURE 8.6
                         Functional block diagram of excitation system.


                         where I d and I q are the currents flowing in the generator stator winding. The equa-
                         tions that describe the rotor winding dynamics are [16]:
                                                        X q   X 00 q
                                                     00
                                                   E ¼          I q                    (8.12)
                                                     d
                                                        1 þ s s
                                                             00
                                                             q0
                                                                     !
                                                                0
                                                    1          X   X  00
                                              00          0     d   d
                                            E ¼          E             I d             (8.13)
                                             q
                                                          q
                                                 1 þ s s       1 þ s s
                                                     00
                                                                   00
                                                     d0            d0
                                                                         !
                                                                   x d   x 0
                                                                        d
                                                                   0
                                                1                  x   x 00 d
                                                                   d
                                      0                                        00
                                      q                                        q
                                     E ¼         !       E fd þ       !       E        (8.14)
                                           x d   x 00           x d   x 00
                                                d  þ s s             d  þ s s
                                                      0
                                                                           0
                                            0
                                           x   x 00   d0        x   x 00   d0
                                                                 0
                                            d   d                d   d
                         where s 0  is the open circuit transient time constant and parameters s 00  and s 00  are
                               d0                                                d0    q0
                         the open circuit subtransient time constants.
                         2.3.3 Excitation System Model
                         The excitation system has a powerful impact on the DG dynamic performance and
                         functionality. The main functions of the excitation system are to provide variable DC
                         current with short time overload capability and to control the terminal voltage with
                         suitable accuracy. The block diagram of the excitation control system is illustrated in
                         Fig. 8.6. The excitation system is represented by a first-order system. The DC exci-
                         tation system provides current flow to the rotor, which will generate an alternating
                         current in the stator.
                         3. SIZING OF HYBRID PHOTOVOLTAIC/BATTERIES BANK/
                            DIESEL GENERATOR SYSTEM
                         The process of finding optimal number of each part used in the hybrid renewable
                         energy system is called sizing. It is important to use minimum number of PV panels
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