Current flow and speed control in magnetic Levitation

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SUMMARY

The discussion focuses on modeling the relationship between current and velocity in magnetic levitation (MagLev) systems. The user is attempting to derive an equation that connects momentum and electromagnetic forces, specifically using the equations m*v=F*Δt and F=q(E+ v X B). They are considering simplifying the model by treating the train as a point mass, while also referencing linear induction motors as a propulsion method in some MagLev systems. The user seeks guidance on their approach and the relevance of geometric factors in their calculations.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Lorentz force law.
  • Familiarity with linear induction motors and their operational principles.
  • Basic knowledge of classical mechanics, particularly momentum and force equations.
  • Mathematical modeling techniques relevant to physics and engineering.
NEXT STEPS
  • Research the application of Lorentz force in magnetic levitation systems.
  • Study the principles of linear induction motors in detail.
  • Explore advanced mathematical modeling techniques for dynamic systems.
  • Investigate the impact of geometry on MagLev train performance and stability.
USEFUL FOR

Engineers, physicists, and researchers involved in magnetic levitation technology, particularly those focused on propulsion systems and dynamic modeling in MagLev applications.

FerN61
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Hello,

I'm working on obtaining an equation that will help me model the behavior of velocity as a response to the current flowing to a coil in a MagLev. I have tried to relate momentum and electromagnetic momentum:

m*v=F*Δt

F=q(E+ v X B)

V= (q(E+ v X B) Δt)/m

Am I going the right way? I am considering ignoring the geometry of the train and consider it as a point. Any help will be very appreciated.
 
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