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Nonlinear capacitor

This is an example of the nonlinear electrical simulation, performed with QuickField software.

Problem Type:
Axisymmetric problem of transient electric.

Geometry:

nonlinear capacitor modelnonlinear capacitor

Nonlinear capacitor consist of 14 metal plates isolated by nonlinear dielectric material.

Given:
Relative permittivity of dielectric material - nonlinear.
Voltage V0 = 0.. 240 V.

Task:
Calculate C(V) curve.

Solution:
To calculate C(V) curve we should make a set of experiments: change the voltage and measure the charge q. The capacitance is C = q / V.
To automate the task lets apply the time-dependent voltage V(t) = Vmax*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 V(t) and q(t).

q,u(t) nonlinear capacitor curve

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

nonlinear capacitor curve characteristics

At nominal voltage (240 V) capacitance is C = 1.05 uF.
Maximal capacitance (at 72 V) is C = 1.64 uF.

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Download icon Download simulation files (files may be viewed using any QuickField Edition).

There are no restrictions applied to the QuickField Student Edition postprocessors.
You can view field maps, make plots, calculate integrals and print pictures in the same way that the Professional Edition users do.