Steady State AC Electric: presentation and typical example

Presentation

The Steady state AC Electric application enables the study of dielectric media in the harmonic (sinusoidal) electric fields taking into account the dielectric and/or ohmic losses.

The complex form of Maxwell's equations assumes that time variation of all the physical quantities is sinusoidal with given frequency.

Utilization

Steady state AC Electric applications can be used for the modeling of high voltage devices, spark-gaps, insulators, etc.

A Steady state AC Electric application enables taking into account the conducting regions assumed to be parasite conductors, for example the pollution layer in insulators.

Typical example

A typical example of problem treated as a Steady state AC Electric application is presented in the figure below.

Principal results

The principal results that can be obtained with Steady state AC Electric applications are:

  • the space distributions of the electric potential (V), of the electric field intensity (E), of the electric flux density (D), of the current density (J), of the power density (dP) and of the density of electrostatic energy (dWe)
  • the dissipated power (P), the electrostatic energy (We) in a region or in the whole study domain, the electrostatic force (Fe) and the electrostatic torque (Γe) on a region.

By means of these quantities, it is possible to compute other useful quantities such as the capacitance, the current, etc.

Example

An example of a problem treated by a Steady state AC Electric application is shown in the figure below.