·Table of Contents ·Methods and Instrumentation | The device for contactless circular magnetization of cylindrical articlesMatyuk V.F.Gorbash V.G. Institute of Applied Physics of National Academy of Sciences of Belarus Minsk, Republic Belarus Contact |
Fig 1: The arrangement of coil turns relative the coordinate system |
(1) |
where r_{0} is the distance from the observation point M_{0} up to the portion of the conductor, α_{1} and α_{2} are the angles, that the radii-vectors form drawn to the point from the start and from the end of the portion of conductor, I is the value of current.
At computation the circular component of the field of doughnut coil it is to be taken into account that its turns in the space different placed are. Every turn consists from four portions of conductor with current (two of them axial are and two radial are)having their own dimensions and angles. The computation was curried out in coordinate system from Figure 1. The axis OX lies in the plane of the first turn. The angle between the plane of the k^{th} turn and the axis OX denote φ_{k}.
The corresponding expression for circular component of field of k^{th} turn and the resultant circular components of magnetic field of one-layer and multilayer doughnut coil in the point inside the tore were received. The contribution of every k^{th} turn in the resultant field was considered. That approach allow to compute the coils with periodically repeated groups of turns (sectors) used in the magnetization coils for receiving the scattering fields of sufficient high value. To receive the more uniform distribution of circular component of field in the local region was suggested to shift the turns in the neighbouring layers of coil for one and the same angle θ. This angle between the planes of turns in the next layers by the ratio
(2) |
The distinction of the multilayer coil consists in that for different layers the relative coordinate of fixed observation point change, what in the circular field is determined. As the computations show it is possible to receive in some points at corresponding conditions sufficient value of circular field that by the next expression can be determined
(3) |
The next unit symbols are used: δ = d/a_{1}, d is the diameter of magnet wire, a_{1} and a_{2} are the inside and the outside radii of upper layer, α = a/a_{1}, α_{2} = a_{2}/a_{1}, β = b/a_{1}, ξ = z/a_{1}, a is the radius of observation point, z is the coordinate of observation point, m is the number of corresponding layer (starting the count from the external one).
a) | b) |
Fig 2: The distribution of circular component of doughnut coil inside it around the radius α = 0,9; α2 = 1,7; β = 1; ξ = 0; δ = 0,03; N = 50: a) M = 1; b) M = 4. |
Thus the construction of magnetizing system of toroidal type for receiving the circular component of sufficient amplitude in the region of doughnut coil that satisfy the condition a/a_{1} using the direct current questionable is. In the local region (point) it is possible to receive the circular component of field using the small quantity of turns in layer or due to increase the quantity of layers with some turns in one layer. But the extent of that region small is. To rise the component of field is possible using the pulse current in the magnetizing coil.
As it is known the circulation in that case will be proportional to the value dE/dt (to the change of strength of electromagnetic field with the time). Concerning the creating the circular component of magnetic field by direct current it exists one more method. It is necessary to construct such winding of doughnut coil that the scattering fields of its turns maximum will be. It is possible to divide the magnetizing winding for periodically repeated regions with uniform distribution of turns in each of them. For instant using instead the coil with N = 160 and M = 4 the coil with four layers each having 80 turns distributed on four regions with identical density takes to sufficient increase of circular component in the inside region (for hundreds times). The results of computation of such coil in the Figure 3a in Cartesian coordinates and the Figure 3b in polar coordinates are done.
Fig 3: The distribution of circular component of doughnut coil with four cyclic repeated regions inside it around the radius α = 0,9 a) in Cartesian coordinates; b) in polar coordinates (α2 = 1,7; β = 1; ξ = 0; δ = 0,03; N = 160; M = 4). |
The analysis of dependence of circular component on the outside radius a2 and on the length 2b shows that the optimum value of the length exists, as its outside radius can be changed in wide region don't influence the distribution and value of field.
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