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Small Wind Energy Systems                                                   169








                               3Φ  grid
                                            Q ref  P ref             v DC (s)
                      Grid connection  switch  PCC  abc  to α–β  v β    Current  reference  VDG(s)  DC-link  plant



               P storage =P W –P L          i β  v α    i*  α  –  +  i*  β  i* (s)


                    local load
                   Variable
                                       to α–β
                                      abc
                                            i α  –  +  Pl             H(s)  Inverter+ LCL  filter plant
              Battery  storage
                                LCL  filter  Stationary  frame current  controller  PWM(s)
                P grid,ref                                       α–β axis control
             P L                           v α   v β
                      Controlled  dummy load  Converter  SPWM  α–β  to  abc  v DC    –  +  v*  DC  Current controller  Stationary  frame current  controller




                                                                        +  –            PMSG wind turbine controller with maximum power optimization and a back-to-back pulse-width modulation (PWM) grid-connected inverter with load
                           v DC                    sin θ e           ˆ  i (s)  i a power  (s)
                          3Φ PWM   Converter  SPWM  d–q  to  abc  Unit vector  X  Power calc.


                                          v*  qs  v*  ds  cos θ e  t  Pl voltage  controller

                                                     θe                 –    P ref  Q ref
                                         i qs    –       2π
                                     abc  to d–q  +  –  ∫  2π  Reset  every 2π  v DC  (s)  +
                                         i ds    +                   ˆ
                                             i*  ds  i*  qs
                                     θ e              P/2
                                                  reference  ω e
                                                Flux
                                          Pl
                                              +   r–opt
                                                 ω*
                                           –
                            PMSG          ω r    MPPT  Peak power  tracking  controller tuned  for the C p (λ) of  the turbine
                              T w

                                       V W  ≥V cut–in  Wind turbine  real-time  measurements
                                 V w  P w

                                                                                        FIGURE 7.13   management.
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