Industrial

Educational

Scientific

Sample problems

Examples gallery

Step-by-step tutorials

Verification examples

Programming examples

Distributive examples

Success stories

Customers

Cable insulation optimization

QuickField simulation example

Problem Type
Plane-parallel problem of electrostatics.

Geometry
Cable insulation optimization Determine the optimal HV conductor diameter for getting minimal electric field stress in the cable insulation at the inner conductor surface. Insulation Ground HV D dHV=?

Given
Relative permittivity of PE insulation ε = 2.2;
Cable outer diameter D = 10 cm;
HV conductor diameter dHV = 2 cm (initial value);

Task
Determine the optimal HV conductor diameter dHV for getting minimal electric field stress in the cable insulation at the inner conductor surface.

Solution
Analytical solution states that the ratio D / dHV should be equal to e (2.71828..).
Built-in LabelMover tool is used to perform the optimization. Electric field strength value is measured in the single reference point (labelled as "point") on the HV conductor surface.

Results
LabelMover indicates that the inner conductor diameter should be scaled up 1.834 times (which is 2 cm*1.834 = 3.668 cm)
The calculated ratio of outer to inner diameter is 10 cm / 3.668 cm = 2.726 (close enough to the analytical result 2.718).
Electric field stress distribution in the insulation with optimal HV conductor dimensions is shown below
Electric field stress distribution in the insulation