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Relay dynamics simulation using Microsoft VBScript and Parametric Object Interface - QuickField simulation example

Relay-plunger motion under electromagnetic and spring forces, with VBScript and the parametric interface evaluating force throughout the plunger travel..

To combine the electromagnetic field analysis with the moving core dynamics both Microsoft VBScript and LabelMover are used. Interaction between LabelMover and Microsoft VBScript is performed using application programming interface (API).

Engineering question

How to calculate the relay's plunger motion using QuickField and Microsoft VBScript via LabelMover?

Answer
Set up an axisymmetric QuickField DC Magnetics problem and replace the multi-turn coil with an equivalent total current. Use Microsoft VBScript (via the LabelMover API) to integrate the plunger's equation of motion, calling LabelMover at each step to get the electromagnetic force.

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Typical applications
electromagnetic relays, relay armatures, electromechanical switching devices

Relay dynamics simulation using Microsoft VBScript and Parametric Object Interface

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics.

Geometry
Relay dynamics simulation The electromagnetic and spring forces act on the plunger. Both forces depend on the plunger position Coil Plunger Spring 20 mm x Ø 7.2 mm

Given
Current I = 400 Ampere*turns;
Plunger pull-out position xmax = 10 mm.
Plunger pull in position xmin = 6 mm.
Plunger weight m = 4.5 g;
Spring constant k = 4 N/m
Spring free position xspring.free = 15 mm.

Task
Relay-plunger motion under electromagnetic and spring forces, with VBScript and the parametric interface evaluating force throughout the plunger travel..

Solution
The multi-turn winding is replaced with the equivalent total current.

The motion function can be found from second-order differential equation
m · d²x/dt² = f(x),
where m - is a plunger weight (kg),
x - is a plunger position (m)
f(x) - is the force acting on the plunger (N).
The force acting on the plunger is a sum of spring force fspring(x) = k·(xspring.free - x) and electromagnetic force.

The equations are solved in Microsoft VBScript. The dynamic link is used to invoke QuickField LabelMover and calculate the electromagnetic force at each step.

The calculations are stopped when x=xmin (pull in position, plunger hits damper).
Microsoft VBScript to QuickField LabelMover link The equations are solved in Microsoft VBScript. The dynamic link is used to invoke QuickField LabelMover and calculate the electromagnetic force at each step Microsoft VBScript QuickField + LabelMover Initial conditions x0 = xmax, v0 = 0 m/s Invoke LabelMover to calculate Force(xi) vi+1 = vi + Force/mass*Δt xi+1 = xi + vi+1* Δt x>xmin ? true false EXIT

Results
The plunger hits initial position between 11th and 12th steps (0.055 - 0.06 s).
LabelMover plot of the plunger position in meters vs time in seconds.

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