Main >>
Applications >>
Sample problems >>
Nonlinear capacitor

# 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 consist of 14 metal plates isolated by nonlinear dielectric material.

**Given:**

Relative permittivity of dielectric material - *nonlinear*.

Voltage *V*_{0} = 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) = *V*_{max}**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*).

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.

Download video.

Watch online on YouTube

View simulation report in PDF.

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