Optimization of dimensions of a device for circular magnetization of cylindrical components. III. Investigation of circular field component generated by a one-layer toroidal coil

The effect of dimensions of a toroidal coil and the number of turns in the coil on the circular magnetic field component within the region limited by the inside axial sections of the turns has been studied. The configuration of this field has been determined. Optimal dimensions of the coil have been calculated. In order to obtain a higher amplitude of the circular field, one should use coils with smaller numbers of turns. In the inner region of a one-layer toroidal coil close to the turns, the peaks of the circular field diminish with the number of turns, but the number of points where the field intensity is maximal becomes larger, i.e., the field becomes more uniform. Methods of further increase in the circular component of the magnetic field have been suggested.     

Optimization of dimensions of a device for circular magnetization of cylindrical components. IV. Investigation of circular magnetizing field generated by a multilayered toroidal coil

The effect of dimensions of a toroidal coil, the number of turns and layers in its winding on the circular field component generated in its inside volume defined by the inside axial sections of the turns has been investigated. The configuration of the field in this region has been calculated, and the principles of the design of magnetizing coils have been formulated. In order to obtain a higher circular field intensity in the region close to the turns, it is advisable to use multilayered windings. A fairly uniform circular field is generated in a local region if the winding is divided into equal sectors containing zones with turns of wire and gaps between them. In order to obtain a circular field component of a relatively high intensity and a constant sign over a wide sector of the inside volume, one should build a coil of several sections uniformly distributed over the frame perimeter.     

Optimization of Dimensions of a Device for Circular Magnetization of Cylindrical Components. V. Circular Field Component in One Sector of Toroidal Coil

Analytical expressions for calculating the distribution of the circular magnetic field component generated by a coil shaped as a toroid sector have been obtained. The field distribution has been analyzed for different parameters of a toroidal coil divided into sectors. The maximal circular component of magnetic field is generated in a limited region in space by a coil composed of different sectors containing turns wound in several layers on top of one another. The field intensity depends on the sectorial angle, its inside and outside radius, and the number of layers in the winding. The sectorial angle corresponding to the maximal circular component depends on the radius-vector of the observation point.