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Overview of Single-Phase Grid-Connected Photovoltaic Systems                 55














                                              PWM inv



                                                   *
                                             inv    υ inv
                                             υ*
                                               dq   αβ   ωt
                 Grid  Z g                   +    υ q  +             PWM inv

                                     PLL  —ωL t  +  υ d  +  +  ωL t
                     υ g                     υ*  d  υ*  d           inv
                                                                   υ*
                 L 2                ωt  θ΄  i q  CC  CC   i d
                                                                     CC
                  i g
                                            –
                     C f         i g  υ g  i d  +   +  –  i q      –
                 L 1                         i*  d  i*  q       i g  +
                      υ inv                    controller  controller  gm  i*  ÷  g General control structure of a single-phase single-stage FB PV system with an LCL filter and reactive power injection capability (CC, PLL): (a) hardware

             Inverter           PWM inv  Inverter control  P  –  P  Q  V 2  ×  2    schematics, (b) control block diagrams in the dq-reference frame, and (c) control block 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, Z g  is the grid impedance, P and Q are the active and reactive power, and subscripts d and q ind



                     υ DC                    P*  +  +  –  Q
                       C DC      υ DC         MPPT   Q*         ×  +   +
                          i pv     P*  Q*                    υ g  ×   ×  ×   υ g
                             MPPT                                P*

                 i pv  υ pv  υ pv           i pv  υ pv                 Q*
              PV panels                         P  Q              MPPT



                      °C                                         i pv  υ pv  (c)
                                      (a)
                                                Power  Calculation




                                                υ g  i g   (b)


                                                                                  FIGURE 3.19   in the dq-reference frame.
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