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INTRODUCTION TO MACHINERY PRINCIPLES

                             INTRODUCTION TO MACHINERY PRINCIPLES          2.5

            In the saturated region, the permeability drops to a very low value. Electric machines and
            transformers use ferromagnetic material for their cores because these materials produce
            much more flux than other materials.
              Table 2.1 lists the characteristics of soft magnetic materials including the Curie tem-
            perature (or Curie point) T . Above this temperature a ferromagnetic material becomes
                                c
            paramagnetic (weakly magnetized). Figure 2.3 shows several B-H curves of some soft
            magnetic materials.
              Permalloy, supermendur, and other nickel alloys have a relative permeability greater
                 5
            than 10 . Only a few materials have this high permeability over a limited range of opera-
            tion. The highest permeability ratio of good and poor magnetic materials over a typical
                           4
            operating range is 10 .
            Energy Losses in a Ferromagnetic Core

            If an alternating current (Fig. 2.4a) is applied to the core, the flux in the core will follow
            path ab (Fig. 2.4b). This graph is the saturation curve shown in Fig. 2.2. However, when
            the current drops, the flux follows a different path from the one it took when the current
            increased. When the current decreases, the flux follows path  bcd. When the current
            increases again, the flux follows path bed.
              The amount of flux present in the core depends on the history of the flux in the core and
            the magnitude of the current applied to the windings of the core. The dependence on the
            history of the preceding flux and the resulting failure to retrace the flux path is called hys-
            teresis. Path bcdeb shown in Fig. 2.4 is called a hysteresis loop.
              Notice that if a magnetomotive force is applied to the core and then removed, the flux
            will follow path abc. The flux does not return to zero when the magnetomotive force is
            removed. Instead, a magnetic field remains in the core. The magnetic field is known as the
            residual flux in the core. This is the technique used for producing permanent magnets. A
            magnetomotive force must be applied to the core in the opposite direction to return the flux
            to zero. This force is called the coercive magnetomotive force   .
                                                          c
              To understand the cause of hysteresis, it is necessary to know the structure of the
            metal. There are many small regions within the metal called domains. The magnetic
            fields of all the atoms in each domain are pointing in the same direction. Thus, each
            domain within the metal acts as a small permanent magnet. These tiny domains are ori-
            ented randomly within the material. This is the reason that a piece of iron does not have
            a resultant flux (Fig. 2.5).
              When an external magnetic field is applied to the block of iron, all the domains will line
            up in the direction of the field. This switching to align all the fields increases the magnetic
            flux in the iron. This is the reason why iron has a much higher permeability than air.
              When all the atoms and domains of the iron line up with the external field, a further
            increase in the magnetomotive force will not be able to increase the flux. At this point, the
            iron has become saturated with flux. The core has reached the saturation region of the mag-
            netization curve (Fig. 2.2).
              The cause of hysteresis is that when the external magnetic field is removed, the domains
            do not become completely random again. This is so because energy is required to turn the
            atoms in the domains. Originally, the external magnetic field provided energy to align the
            domains. When the field is removed, there is no source of energy to rotate the domains. The
            piece of iron has now become a permanent magnet.
              Some of the domains will remain aligned until an external source of energy is supplied
            to change them. A large mechanical shock and heating are examples of external energy that
            can change the alignment of the domains. This is the reason why permanent magnets lose
            their magnetism when hit with a hammer or heated.



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