This is an example of the nonlinear electrical simulation, performed with QuickField software.
Axisymmetric problem of transient electric.
Nonlinear capacitor consists of 15 metal plates isolated by nonlinear dielectric material.
Relative permittivity of dielectric material - nonlinear.
Voltage V0 = 0.. 240 V.
Calculate C(V) curve.
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.
Measured V(t) and q(t).
Calculated nonlinear capacitor characteristics C(V), q(V).
At nominal voltage (240 V) capacitance is C = 1.05 uF.
Maximal capacitance (at 72 V) is C = 1.64 uF.