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Integrated renewable energy sources with droop control techniques-based microgrid operation   49

              The equation of state of charge of battery is given by Eq. (3.11),


                          1  t i
                SOCt() =    ∫ η tI  ()                                     (3.13)                                       SOC(ti)=1Q(ti)∫∞tiηc(t)Ibat
                                     tdt
                               ()
                     i
                        Qt ()  c  batt
                           i  ∞                                                                                         t(t)dt
                        C     C
                                              ()+
               Q ()=t i   nominal  t cos t  ( + α ∆Tt  β ∆T 2  () t  )     (3.14)                                       Q t i   =   C n o m i -
                                      1
                                                   c
                                          c
                                t
                            I  ()   B cap
                     1 + A cap   I batt                                                                             nal Ct cost1 + Acap Ibatt-
                                                                                                                          t I n o m i n a l B -
                      C      nominal                                                                                    cap 1 + αc∆Tt + βc∆T t
                                                                                                                                         2
               I    =   nominal                                            (3.15)
                nominal                                                                                                 Inominal=Cnominaln
                        n
           where n is number of hours.
           6  Concept of droop control
           The droop control idea has been employed by the inverter parallel operations because
           of the power system inertia, and the frequency decreases with increase in load. In the
           microgrid operation RES are directly connected through the power electronic ele-
           ments, therefore the system inertia has been neglected. Introducing a droop control
           technique will imitate the inertia of voltage source inverter (VSI) as within the syn-
           chronous type of wind turbine generator system. Fig. 3.8 shows the characteristics of
           droop control. The benefits of droop control methods are given below [30]:
           •  Simple and easy implementation
           •  Reliability is high
           •  High flexibility
           •  Power ratings are different

              The relationship between the active power and frequency can be illustrated as:

                f  = f o  + K Pf  (P o  − P )                              (3.16)                                       f=fo+KPfPo−P

















           Figure 3.8  General characteristics of droop control.
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