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56              Renewable Energy Devices and Systems with Simulations in MATLAB  and ANSYS ®
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                                Grid
                                                             PWM inv

                                                            inv
                                Z g                         υ*
                                                             CC
                                υ g                         –
                                                 PLL     i g  i* +  g
                                                       gm  2  ÷
                            L 2                 ωt  θ΄  V 2  ×
                                                           +    +
                            i g
                                                          ×
                                                       υ g    ×  ×  υ g
                                 C f          i g  υ g    P* ×
                            L 1                       P pv  +   Q*
                                                          –
                                                           P
                                υ inv                     DC-link  controller



                        Inverter            PWM inv  Inverter control  υ DC  –  + General control structure of a single-phase double-stage grid-connected PV inverter with an LCL filter and reactive power injection capability (CC,



                                υ DC                       υ*  DC    (c)    PLL): (a) hardware schematics, (b) inverter control diagrams in the dq-reference frame, and (c) inverter control diagrams in the αβ-reference frame, where L t  is the total  inductance (L t  = L 1  + L 2 ), V gm  is the grid voltage amplitude, P and Q are the active and reactive power, and subscripts d and q indicate the c

                                C DC                       PWM inv
                                             υ DC
                                                          inv  *  υ inv
                                               υ* DC  Q*  υ*
                                                           dq   αβ   ωt
                          Boost                        —ωL t  +  +  +  υ d υ q  +  +  +  ωL t
                               L        PWM b             υ*  d  υ*  d


                                     i pv  Boost control  P*  i q  –  CC  CC  i d
                                        MPPT           i d  +   +  –  i q

                                     υ pv             2/V gm  i*  +  d  i*  q
                            i pv                          –
                                υ pv                            Q  controller
                         PV panels                    P pv  DC-link  controller  +  –  Q




                                 °C                    υ DC  –  +  Q*
                                                                          FIGURE 3.20
                                                  (a)      DC                    in the dq-reference frame.
                                                           υ*        (b)
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