Determination of homogeneity zone of controlled quasistatic electric field in the area with the ring multiply boundary
DOI:
https://doi.org/10.20535/RADAP.2011.46.22-34Keywords:
electric field, the potential of electric field, homogeneity area, rotated field, discrete field rotation, continuous field rotation, complex variable function, spatial harmonicsAbstract
The analysis and calculation of zone homogeneity of controlled (rotated) quasi-static electric field in the interior of the open area with circular multiply connected boundary and of equal length, depending on connectivity order of the boundaries, of the distribution of potential on the boundary curves and a length limit to the length of the arc gap between the arcs was held. Mathematical expressions are presented, both in the form of a complex variable, and in the form of a sum of spatial harmonics. It is shown that a high degree of uniformity can be realized with continuous field rotation, herewith, if more marginal arcs of a circle would be, the larger area of homogeneity could be obtained. To implement the continuous rotation of the fields at the arc boundary the harmonic voltage must be submitted with phase shift at each arc boundary equal to the angle between the centers of the arc boundaries.References
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