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ELECTRIC ACTUATORS: MOTOR AND DRIVE TECHNOLOGY  623



                                                                       r

                                       r
                                                                c
                                    c










                                                             m


                                                                         r






                                   m
                                   c                                             m
                                                                     c
                                       c                                         c

                                                                                    r
                                           c

                                                            P1 - Load line
                                                                           Br
                                                                     @20 °C
                                                        No permanent        Ba
                                                        loss               @140 °C
                                               P2 - load line             Bb

                                                                           Bc
                                                              Knee point
                                                                           Be
                                                                           Bd
                                                 Permanent loss     c
                                                 of magnetization
                                                 due to knee point

                                          c
                                                            (d)
                             FIGURE 8.13: Magnetic properties of ferromagnetic materials are not linear. (a) In soft
                             magnetic materials,the B and H are small, hence they have small hysteresis. They retain a
                                                      c
                                                 r
                             very small portion of their magnetization when the external field is removed. They are
                             temporarily magnetized, not permanently. (b) In hard magnetic materials,the B r  and H are
                                                                                              c
                             large (with large hysteresis) which means the material retains a large magnetization after
                             external field is removed. This is the case for permanent magnetic materials. (c) Permanent
                             magnets (PM) in electric actuator applications operate primarily in the second quadrant of the
                             B-H curve. Rare-earth PMs (i.e., samarium-cobalt mixtures, neodymium mixtures) have almost
                             linear characteristics in the second quadrant. (d) Temperature effect on demagnetization curve
                             of permanent magnets and the “knee point. Source: Adapted from www.hitachi-metals.co.jp/e.”
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