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Power quality issues of smart microgrids Chapter | 4  105



                           I Ind   I DG            I MG        I Grid

                                              I Local
                                                               V PCC
                  DG                                                  Grid
                         V DG



                                                            Harmonic-free
                                                   I Grid
                                 I MG  V PCC                PCC voltage
                       I DG
                                                            Harmonic-free
                                                          local load current
                       I DG      I MG  V PCC       I Grid

                                                            Harmonic-free
                       I DG      I MG  V PCC       I Grid    DG current


             FIGURE 4.6 Overall view of harmonic compensation in microgrids.


                      V PCC         I ref_f
                            PLL and
                          synchronization
                                                               K p
                                             I  DG
                                                               2K ω b s
                                                         G  (s) =  if
                    V PCC                                 R  s  2  + 2ω b s +  () f ω  2
              V PCC Comp  H D (S)  –1/R v
                       Harmonic extraction              (s) = Σ  2K ω
                                                                 ih b s
                    I  Local        I  ref_h          G
              I Local-Load  H D (S)                    H  3,5,7,9,11 s 2  + 2ω b s  +  (hω )  2
               Comp                                       h=        f
                       Harmonic extraction
               I DG Comp
                                                                         *
                         0                                  G inner s =  V Out
                                                               () K inner
                                                          I ind
             FIGURE 4.7 Overall view of CCM with harmonic current reference calculation. CCM,
             Current-controlled method.
             reference calculation methods. To have a harmonic-free output current of
             MFDG, it is the default compensating objective of CCM, that is, it is simply
             done by setting the harmonic current reference to zero as in (4.2).
                                    I ref 5 I ref  f 1 I ref  h         ð4:1Þ
                                                           f is the fundamental
             where I ref is the main current reference for CCM, I ref
                                   h is the harmonic reference current for CCM.
             current reference, and I ref
                                        I ref 5 I ref  f                ð4:2Þ
                To compensate the local load harmonic current, as it could be seen in
             (4.3), the harmonic reference would be the harmonic elements of the local
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