Determination of homogeneity zone of controlled quasistatic electric field in the area with the ring multiply boundary

Authors

  • Yu. F. Zinkovskiy National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev
  • Yu. K. Sydoruk National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

DOI:

https://doi.org/10.20535/RADAP.2011.46.22-34

Keywords:

electric field, the potential of electric field, homogeneity area, rotated field, discrete field rotation, continuous field rotation, complex variable function, spatial harmonics

Abstract

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.

Author Biographies

Yu. F. Zinkovskiy, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Doc. Of Sci (Technics), Prof.

Yu. K. Sydoruk, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Assoc. Prof.

References

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How to Cite

Зінковський, Ю. and Сидорук, Ю. (2011) “Determination of homogeneity zone of controlled quasistatic electric field in the area with the ring multiply boundary”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(46), pp. 22-34. doi: 10.20535/RADAP.2011.46.22-34.

Issue

No. 46 (2011)

Section

Electrodynamics

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