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232             Renewable Energy Devices and Systems with Simulations in MATLAB  and ANSYS ®
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                             ×10 4               Power losses
                           14
                                                                         Pcu
                                                                         Pfe
                                                                         Pmec
                           12


                           10

                          Power (W)  8



                            6


                            4


                            2
                             0      200      400     600     800     1000    1200
                         (a)                        Steps
                         0.986

                         0.984

                         0.982

                          0.98
                        Efficiency  0.978



                         0.976

                         0.974

                         0.972

                          0.97
                             0      200      400     600     800     1000    1200
                       (b)                          Steps
            FIGURE 9.19  Evolution of (a) losses during optimization and (b) efficiency of optimal design for an 8 MW,
            480 rpm PMSG (Pcu, Pfe, and Pmec are copper, iron, and mechanical losses, respectively).



              For surface-mounted PMSGs, L  = L  = L  and, in general of maximum torque per losses, i  = 0
                                            q
                                                s
                                                                                       d
                                        d
            and thus pure i  control is adequate (no reluctance torque is available anyway). Pure i  control leads
                                                                                q
                        q
            to an increase in reactive power Q , which is
                                       e
                                      3             3
                                  P e =  V i q < 0;  Q e =  1 ω  LI q > 0;  i d = 0   (9.29)
                                                          2
                                                         q
                                      2  q          2
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