modelLeakageWithCoefficient

Leakage reluctance with respect to the reluctance of a useful flux path (not for dynamic simulation of actuators)

Extends from BaseClasses.Leakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Information

Differently from the flux tube elements of package Shapes.Leakage that are calculated from their geometry, 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 Kirchhoff's generalized current law, the leakage reluctance is calculated by means of a coupling coefficient c_usefulFlux.

Leakage with coefficient

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 provides a simple leakage reluctance with force generation.

Parameters

TypeNameDefaultDescription
SI.CouplingCoefficientc_usefulFluxRatio useful flux/(leakage flux + useful flux) = useful flux/total flux

Connectors

TypeNameDefaultDescription
FluxTubes.Interfaces.PositiveMagneticPortport_p (from TwoPortElementary)Positive magnetic port
FluxTubes.Interfaces.NegativeMagneticPortport_n (from TwoPortElementary)Negative magnetic port
Blocks.Interfaces.RealInputR_mUsefulTot

Components

TypeNameDefaultDescription
SI.MagneticPotentialDifferenceV_m (from TwoPortExtended)Magnetic potential difference of ports
SI.MagneticFluxPhi (from TwoPortExtended)Magnetic flux from port_p to port_n
SI.ReluctanceR_m (from Leakage)Magnetic reluctance
SI.PermeanceG_m (from Leakage)Magnetic permeance