Electric Currents (ec)

Stationary electric currents in conductors. Elmer StatCurrentSolver.

Category

AC/DC › Electric Fields and Currents

Name (tag)

ec

Space dimensions

3D, 2D, 2D axisymmetric

Studies

Stationary, Time Dependent

Dependent variables

V Electric potential (V)

Default features

Current Conservation, Initial Values, Electric Insulation

\(-\nabla\cdot(\sigma\nabla V) = Q_{j,v}\)

Material properties used: Electrical conductivity (σ).

Interface settings

Setting Symbol Unit Default Choices / type

Discretization

Element order

Quadratic

Linear, Quadratic

Elmer Solver

Additional Elmer solver keywords
Lines appended verbatim to this interface’s Solver section in the .sif file

Text (multi-line)

Domain features

Current Conservation

Selection: Domains (all by default) · Physics ribbon › Domains, or right-click the interface in the Model Builder

\(\nabla\cdot\mathbf{J} = Q_{j,v},\quad \mathbf{J}=\sigma\mathbf{E},\quad \mathbf{E}=-\nabla V\)

Setting Symbol Unit Default Choices / type

Conduction Current

Electrical conductivity

σ

From material

From material, User defined

sigma

σ

S/m

0

Expression

Initial Values

Selection: Domains (all by default) · Physics ribbon › Domains, or right-click the interface in the Model Builder

Setting Symbol Unit Default Choices / type

Initial Values

Electric potential

V

V

0

Expression

Boundary features

Ground

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(V = 0\)

No settings.

Electric Potential

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(V = V_0\)

Setting Symbol Unit Default Choices / type

Electric Potential

Electric potential

V₀

V

1[V]

Expression

Normal Current Density

Selection: Boundaries · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(-\mathbf{n}\cdot\mathbf{J} = J_n\)

Setting Symbol Unit Default Choices / type

Normal Current Density

Inward current density

Jₙ

A/m^2

0

Expression

Electric Insulation

Selection: Boundaries (all by default) · Physics ribbon › Boundaries, or right-click the interface in the Model Builder

\(\mathbf{n}\cdot\mathbf{J} = 0\)

No settings.

Result variables

Name Description Unit

V

Electric potential

V

ec.J

Current density

A/m^2

ec.normJ

Current density norm

A/m^2

ec.Qrh

Volumetric loss density, electric

W/m^3