AdvancedSolenoid

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

Diagram

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.

Parameters (18)

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

Connectors (3)

	p	Type: PositivePin Description: Electrical connector
	n	Type: NegativePin Description: Electrical connector
	flange	Type: Flange_b Description: Flange of component

Type: PositivePin

Description: Electrical connector

Type: NegativePin

Description: Electrical connector

flange

Type: Flange_b

Description: Flange of component

Components (24)

	material	Type: BaseData Description: Ferromagnetic material characteristics
	ground	Type: Ground
	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 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 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)