Corona discharge current from voltage

The corona discharge is an independent discharge in a relatively dense gas. If an electric field is applied to two electrodes between which there is a gas gap, then a corona discharge occurs at a certain potential difference between the electrodes.

Notes:

1. This is a phenomenological equation.

Links:

1. ResearchGate — “Generalization of the Townsend current-voltage characteristics of a corona discharge”, p. 306, formula 1.

current

Corona discharge current.

Symbol:

I

Latex:

\(I\)

Dimension:

current

experimental_coefficient

Coefficient of the gas which is experimentally determined.

Symbol:

A

Latex:

\(A\)

Dimension:

charge/(area*voltage)

mobility

mobility of charge carriers.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

area/(time*voltage)

voltage

voltage applied.

Symbol:

V

Latex:

\(V\)

Dimension:

voltage

discharge_voltage

voltage at which the corona discharge occurs.

Symbol:

V_0

Latex:

\(V_{0}\)

Dimension:

voltage

law

I = A * mu * V * (V - V_0)

Latex:

\[I = A \mu V \left(V - V_{0}\right)\]