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Main >> Applications >> Sample problems

Three phase cable - QuickField simulation example

This is an example of the 3-phase cable simulation, performed with QuickField software. The cable consists of 4 isolated conductors and is buried in the ground.

Engineering question

How to calculate leakage current in a buried three-phase cable?

Answer
Assign conductor surface potentials in a plane-parallel AC conduction model and calculate the resulting reactive leakage current.

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Typical applications
three-phase underground cables, power cable insulation systems, multicore cable arrangements

Three phase cable

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Simulation problem

Problem Type
Plane-parallel problem of AC conduction.

Geometry
Cable diameter is 80 mm, insulation thickness is 2 mm, shield thickness is 5 mm.
Three phase cable Reactive leakage current per meter in a buried four-conductor three-phase cable at 400 Hz, including capacitive current through the cable insulation. phase A phase B phase C Ground Shield Insulation

Given
Insulation dielectric permittivity 4, shield dielectric permittivity 2.
AC voltage U = 250 V (peak), frequency f = 400 Hz.

Task
Determine the leakage current.

Solution
The conductors' bodies are excluded from the model, as there is no electric field inside conductors. Instead, the electric potentials on conductors' surfaces are specified.

Result
The reactive leakage current is 0.57.. 0.64 mA per 1 meter of conductor length:
Electric field stress distribution in 3-phase cable

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