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Main >> Applications >> Sample problems

Cylindrical needle to plane electric field - QuickField simulation example

Engineering question

How to calculate the effect of needle diameter on electric stress in a needle-to-plane electrode system?

Answer
Sweep the needle diameter in an axisymmetric electrostatic model and measure the field at the tip; increasing diameter reduces the peak stress.

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Typical applications
needle-plane electrodes, corona test electrodes, HV electrode systems

Cylindrical needle to plane electric field

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Simulation problem

Problem Type
Axisymmetric problem of electrostatics.

Geometry
Cylindrical needle electrode Determine the electric field strength distribution as a function of needle diameter HV conductor GND

Distance from needle tip to plane surface - 5 mm.

Given
Relative permittivity of air ε = 1;
Needle potential U = 10 kV
Plate potential 0 V

Task
Determine the electric field strength distribution as a function of needle diameter d.

Solution
Parametric analysis is automated with LabelMover tool.

Results
Electric potential distribution around the needle, d=2 mm.
needle-plane electric stress

Needle diameter d, mm. 2 6 10 22
Electric stress
at the needle tip, kV/mm.
9.7 4.6 3.5 2.6

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