Dielectric losses

QuickField simulation example

Simulation of the dielectric losses in the capacitor with known loss tangent.

Problem Type
Plane-parallel problem of AC conduction.

Geometry
d=1 mm, h=10 mm.
The length of capacitor in z direction is L = 10 mm.

Given
Relative permittivity of substrate ε = 2.3, loss tangent tan(δ) = 0.0075.
AC voltage U = 220 V (r.m.s.), frequency f = 100 kHz.

Task
Calculate dielectric losses in capacitor.

Solution
Electrical conductivity of materials should be set in AC conduction problems. We can take into account dielectric losses by specifying the apparent value of conductivity*:
σ = 2πf·εε₀·tan(δ).

Results
Apparent electric conductivity is σ = 2·3.142·100000·8.854e-12·2.3·0.0075 = 0.096 uS/m.

Active power dissipated in dielectric is P_Active = 0.46 mW per 100mm³.

Reference:
* Wikipedia, Dielectric loss.

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