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Cable thermal breakdown - QuickField simulation example

The insulation in a DC cable is subjected to both thermal and electric stress at the same time. Defects in insulation may cause a local overheating due to leakage currents. Calculate the electric current in the faulty insulation with a small defective area.

Engineering question

How to find leakage current in defective DC cable insulation?

Answer
Set up a plane-parallel QuickField DC Conduction problem for defective cable insulation and evaluate leakage current from computed field results.

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Typical applications
HV DC cables, defective cable insulation, cable dielectric defects

Cable thermal breakdown voltage

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Simulation problem

Problem Type
Plane-parallel problem of DC conduction.

Geometry
Cable thermal breakdown The insulation in a DC cable is subjected to both thermal and electric stress at the same time. Defects in insulation may cause a local overheating due to leakage currents. Calculate the electric current in the faulty insulation with a small defective area. Hot spot Insulation Conductor Shield

Given
Conductor potential U = 10 kV, shield potential U = 0 V.
Insulation temperature T = 80 °C. Hot spot temperatureTmax = 120 °C.
Electric conductivity of insulation σ depends on temperature, as shown on the plot below.

Task
Calculate the electric current in the insulation.

Solution
The model depth is taken to be 10 cm, which corresponds to the defect region axial length.

Results

  Total leakage current, I
Normal 1.278e-8 A
With defect 1.282e-8 A

Current density distribution in the insulation close to the thermal defect.
Leakage current density distribution in the cable

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