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# Bushing insulator

3-phase bushing insulators 10kV rated are installed on the transformer tank cover.

Problem Type: electrostatics.

Geometry: 3D extrusion.

Given:
Relative permittivity of air ε = 1,
Relative permittivity of oil ε = 2.2,
Relative permittivity of insulator ε = 6,
phase A electric potential UA = 10000·√2/√3 · cos(0) = +8165 V,
phase B electric potential UB = 10000·√2/√3 · cos(120) = -4082 V,
phase C electric potential UC = 10000·√2/√3 · cos(240) = -4082 V.

Problem:
Find the maximum field strength at the insulator and the electric field distribution.

Solution:
To find the maximum field strength it is enough to simulate the electrostatic field at the moment of maximum voltage at the specific phase insulator. Phase A insulator maximum field simulation is presented (for phases B and C similar approach should be used).

Results:
Electric field strength distribution at the surfaces of the insulators is presented at the picture below.

• Video: