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130                                 Hybrid-Renewable Energy Systems in Microgrids


















































         Figure 7.6 (Continued)


           Then, the updated expressions for I , I  , I , and I  can be derived by substituting
                                       pL
                                                    qS
                                              qL
                                          pS
         Eqs. (7.48) and (7.49) into Eqs. (7.46) and (7.47):
                                            +
                       +
                      v + k v −           v −  k v −
 2
 2
 IpL=P*v++kpv−v+ +kpv− ,IpS=P*v+−-  I  =  P *  p  I ,  =  P =  p        (7.50)
                                      *
 2  2         pL     v +  2 + k v −  2  pS  v +  2 + k v −  2
 kpv−v+ +kpv−              p                    p
                                           +
                      v + k v −           v − k v −
                       +
                                               q
                           q
                                      *
 2
 2
 I q L = Q *  v ++ k q v − v + + k q v − ,  I q S = Q * v -  I qL  =  Q *  +  2  −  2  I ,  qS  = Q =  +  2  −  2  (7.51)
 2  2                v  + k v            v   + k v
                           q
                                               q
 +−kqv−v+ +kqv−
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