TElec1: Nonlinear capacitor

Nonlinear capacitor consist of metal plates isolated by nonlinear dielectric.

Analysis Type:

An axisymmetric problem of Transient electric field.

Geometry:
Nonlinear capacitor Capacitor consists of 15 metal plates isolated by nonlinear dielectric material V0 GND 0.6 mm Ø24 mm 1 3  5  7  9  11  13  15 2 4  6  8  10  12  14

Given:

Relative permittivity dielectric - nonlinear.
Voltage U0 = 0.. 240 V.

Problem:

Calculate C(U) curve.

Solution:

To calculate C(U) curve we should make a set of experiments: change the voltage and measure the charge q. The capacitance is C = q / U.

To automate the task lets apply the time-dependent voltage u(t) = Umax*t, where t - is time. Thus we replace the series of problems with one time-dependent problem. After the problem is solved QuickField can calculate q(t) automatically.

Results:

Measured u(t) and q(t).

q,u(t) nonlinear capacitor curve

Calculated nonlinear capacitor characteristics C(U), q(U).

nonlinear capacitor curve capacteristics

See the Telec1.pbm problem in the Examples folder.