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# Nonlinear capacitor

QuickField simulation example

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

Problem Type
Axisymmetric problem of transient electric.

Geometry

Nonlinear capacitor consists of 15 metal plates insulated by nonlinear dielectric material.

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

Calculate C(V) curve.

Solution
To calculate C(V) curve we should make a set of experiments: change the voltage and measure the emergy W. The capacitance is C = 2*W / V².
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 Energy(t) automatically.

Results
Calculated nonlinear capacitor characteristics C(V).
At nominal voltage (240 V) capacitance is C = 1.05 uF.
Maximal capacitance (at 72 V) is C = 1.64 uF.  