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Cable insulation electric stress*

QuickField simulation example

Problem Type
Plane-parallel problem of electrostatics.

Geometry
Cable insulation electric stess Impregnated paper insulation consists of many layers with different values of dielectric permittivity. For simplicity we replace multiple layers with a homogenous insulation. Insulation Screen A B C ø 44 mm

Given
Relative permittivity of filler ε = 2.8;
Relative permittivity of insulation ε = 4;
Line voltage 10kV, screen voltage 0 V;

Task
Calculate the electric field stress distribution in the insulation.

Solution
Impregnated paper insulation consists of many layers with different values of dielectric permittivity. For simplicity we replace multiple layers with a homogenous insulation.

Results
The picture below represents the electric field in the cross section of a three-phase cable at the time when the potential of phase A (upper conductor) reaches its maximum. Such field pattern is typical for three-phase cables with sector-shaped conductors, regardless of the insulation type. 1-3 are the characteristic areas of insulation, while 2 are the areas with the highest electric field strength.
Cable insulation electric stress

Reference
*Dmitry Arsenyev, Simon Dubitsky, Dmitry Kiesewetter, and Victor Malyuin. Numerical Simulation and Calculation of Resistance of Laminated Paper-Impregnated Insulation of Power Cables. Energies 15, no. 19 (2022): 7403.