The Leakage With Coefficient component models a leakage, this leakage reluctance is calculated with reference to the total reluctance of a useful flux path.

Please refer to the Parameters section for an illustration of the resulting magnetic network. Exploiting Kirchhoffs generalized current law, the leakage reluctance is calculated by means of a coupling coefficient c_usefulFlux.Attention: This element must not be used for dynamic simulation of electro-magneto-mechanical actuators, where the shape of at least one flux tube element with reluctance force generation in the useful flux path changes with armature motion (e.g., air gap). This change results in a non-zero derivative dG_m/dx of those elements permeance G_m with respect to armature position x, which in turn will lead to a non-zero derivative of the leakage permeance with respect to armature position. This would generate a reluctance force in the leakage element that is not accounted for properly. Shapes.Force.LeakageAroundPoles modelica://Modelica.Magnetic.FluxTubes.Shapes.Force.LeakageAroundPoles provides a simple leakage reluctance with force generation.

$\mathrm{\Phi }\={\mathrm{\Phi }}_p\=-{\mathrm{\Phi }}_n$

$V_m\=V_{m_p}-V_{m_n}\=\mathrm{\Phi }{R}_m$

$R_m\=\frac{1}{G_m}$

$\left(1-c_{\mathrm{useful\; flux}}\right)R_m\=c_{\mathrm{useful\; flux}}{R}_{m_{\mathrm{useful\; total}}}$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.