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Electric Generators and their Control for Large Wind Turbines               233


                          ×10 4              Component weight
                        3
                                                                    Iron used
                                                                    Stator iron
                       2.5
                                                                    Copper
                                                                    PM
                        2                                           Rotor iron
                                                                    Machine
                      Weight (kg)  1.5



                        1


                       0.5


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

                          ×10 5                   Cost
                        2
                       1.8

                       1.6
                       1.4                              Copper
                      Material cost (USD)  0.8 1        Lamination
                       1.2
                                                        PM
                                                        Rotor iron


                       0.6                              Weight

                       0.4
                       0.2
                        0
                         0       200      400      600     800      1000    1200
                    (b)                           Steps

            FIGURE 9.20  Evolution of (a) weight and (b) material cost for different components during optimization
            design for an 8 MW, 480 rpm PMSG.


              This leads automatically to an “underexcited” operation mode (generated voltage is higher than
            the terminal voltage), which is favorable for the voltage-boosting operation of the machine-side
            PWM voltage source converter, with V  being the DC-link voltage (the DC-link voltage is decided
                                           DC
            by the grid voltage) in steady state:
                                                                         π
                                                            2
                                                                2
                                Li q ;  V q = ω ψ PM +  i R s ;  V s =  V d + V q ;  V s <  (9.30)
                         V d =−ω 1  q     r      q                         V DC
                                                                       33
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