WOLFRAM SYSTEMMODELER

AdvancedSolenoid

Advanced network model of a lifting magnet with planar armature end face, split magnetomotive force

Diagram

Wolfram Language

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SystemModel["Modelica.Magnetic.FluxTubes.Examples.SolenoidActuator.Components.AdvancedSolenoid"]
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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Please have a look at SimpleSolenoid for a general description of this actuator. Unlike in that simple magnetic network model, the coil is split into two lumped elements here. This enables for more realistic modelling of the radial leakage flux between armature and yoke (leakage permeance G_mLeakRad). Especially for large air gaps, the influence of this leakage flux on the actuator's inductance and its electromagnetic force is rather strong. Please have a look at ComparisonQuasiStationary for a comparison of both models with FEA-based results included as reference.

Assigned flux tubes and field plot of the solenoid actuator

The parasitic capacitances c_par1 and c_par2 across both partial coils assure that the voltages across these coils are well-defined during simulation.

Connectors (3)

p

Type: PositivePin

Description: Electrical connector

n

Type: NegativePin

Description: Electrical connector

flange

Type: Flange_b

Description: Flange of component

Parameters (19)

N

Value: 957

Type: Real

Description: Number of turns

R

Value: 5

Type: Resistance (Ω)

Description: Coil resistance

R_par

Value: 1e5

Type: Resistance (Ω)

Description: Resistance parallel to the coil, in series to C_par

C_par

Value: 1e-9

Type: Capacitance (F)

Description: Capacitance parallel to the coil, in series to R_par

r_yokeOut

Value: 15e-3

Type: Radius (m)

Description: Outer yoke radius

r_yokeIn

Value: 13.5e-3

Type: Radius (m)

Description: Inner yoke radius

l_yoke

Value: 35e-3

Type: Length (m)

Description: Axial yoke length

t_yokeBot

Value: 3.5e-3

Type: Length (m)

Description: Axial thickness of yoke bottom

l_pole

Value: 6.5e-3

Type: Length (m)

Description: Axial length of pole

t_poleBot

Value: 3.5e-3

Type: Length (m)

Description: Axial thickness of bottom at pole side

t_airPar

Value: 0.65e-3

Type: Length (m)

Description: Radial thickness of parasitic air gap due to slide guiding

material

Value: Material.SoftMagnetic.Steel.Steel_9SMnPb28()

Type: BaseData

Description: Ferromagnetic material characteristics

r_arm

Value: 5e-3

Type: Radius (m)

Description: Armature radius = pole radius

l_arm

Value: 26e-3

Type: Length (m)

Description: Armature length

c

Value: 1e11

Type: TranslationalSpringConstant (N/m)

Description: Spring stiffness between impact partners

d

Value: 400

Type: TranslationalDampingConstant (N·s/m)

Description: Damping coefficient between impact partners

x_min

Value: 0.25e-3

Type: Position (m)

Description: Stopper at minimum armature position

x_max

Value: 5e-3

Type: Position (m)

Description: Stopper at maximum armature position

rho_steel

Value: 7853

Type: Density (kg/m³)

Description: Density for calculation of armature mass from geometry

Components (24)

material

Type: BaseData

Description: Ferromagnetic material characteristics

ground

Type: Ground

Description:

coil1

Type: ElectroMagneticConverter

Description: Electro-magnetic conversion in first half of coil

r_1

Type: Resistor

Description: Resistance of first half of coil

g_mFeYokeSide1

Type: HollowCylinderAxialFlux

Description: Permeance of of first half of yoke's hollow cylindric section

g_mFeArm

Type: HollowCylinderAxialFlux

Description: Permeance of ferromagnetic armature

g_mAirWork

Type: HollowCylinderAxialFlux

Description: Permeance of working air gap (between armature and pole end faces)

g_mFeYokeBot

Type: HollowCylinderRadialFlux

Description: Permeance of bottom side of ferromagnetic yoke

g_mAirPar

Type: HollowCylinderRadialFlux

Description: Permeance of parasitic radial air gap due to slide guiding

g_mFePoleBot

Type: HollowCylinderRadialFlux

Description: Permeance of bottom side of pole

g_mFePole

Type: HollowCylinderAxialFlux

Description: Permeance of ferromagnetic pole

armature

Type: TranslatoryArmatureAndStopper

Description: Inertia of armature and stoppers at end of stroke range

g_mLeak1

Type: QuarterCylinder

Description: Leakage permeance between inner edge of yoke bore and armature side face

g_mLeak2

Type: QuarterHollowCylinder

Description: Leakage permeance between inner side of yoke bottom and armature side (r_i = t_airPar)

coil2

Type: ElectroMagneticConverter

Description: Electro-magnetic conversion in first half of coil

c_par1

Type: Capacitor

Description: Parasitic capacitance assigned to first half of coil

G_mLeakRad

Type: HollowCylinderRadialFlux

Description: Permeance of radial leakage flux tube between armature side and yoke side

g_mFeYokeSide2

Type: HollowCylinderAxialFlux

Description: Permeance of of second half of yoke's hollow cylindric section

c_par2

Type: Capacitor

Description: Parasitic capacitance assigned to second half of coil

r_par1

Type: Resistor

Description: Parasitic resistance assigned to first half of coil

r_par2

Type: Resistor

Description: Parasitic resistance assigned to second half of coil

r_2

Type: Resistor

Description: Resistance of second half of coil

g_mLeak3

Type: QuarterCylinder

Description: Leakage permeance between outer edge of yoke bore and armature side face

g_mLeakWork

Type: LeakageAroundPoles

Description: Permeance of leakage air gap around working air gap (between armature and pole side faces)

Used in Examples (2)

ComparisonQuasiStationary

Slow forced armature motion of both solenoid models so that electromagnetic field and current are quasi-stationary

ComparisonPullInStroke

Pull-in stroke of both solenoid models after a voltage step at time t=0