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Main >> Applications >> Sample problems

Grading ring - QuickField simulation example

Engineering question

How to calculate the optimal grading-ring position for a linear insulator potential distribution?

Answer
Sweep the grading-ring position with LabelMover and choose the position that minimizes the RMS deviation of the axial potential from a linear distribution.

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Typical applications
insulator corona rings, grading rings, high-voltage line insulators

Grading ring

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Simulation problem

Problem Type
Axisymmetric problem of electrostatics.

Geometry
Insulator Grading ring HV Grounded

Given
Relative permittivity of insulator ε = 2;
High voltage = 110 kV.

Task
Find the position of the grading ring, providing a linear distribution of potential along the insulator central axis.

Solution
In QuickField you must specify the amplitude of the phase voltage, which can be recalculated from the line voltage, as 110000 * √2 / √3. Problems with various ring position were automatically generated and calculated using the LabelMover utility. The calculation of the root-mean-square deviation from the linear dependence is performed in Microsoft Excel.

Results
Space distribution of the electric field strength and the electric potential distribution along the insulator central axis.
Space distribution of the electric field strength and the electric potential distribution along the insulator central axis

*Reference: Corona ring in Wikipedia.

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