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Main > Application > Sample problems

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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