Software Complex to Model Magnetic Fields and MHD Effects in Aluminum Reduction Cells

1
Software Complex to Model Magnetic Fields and MHD
Effects in Aluminum Reduction Cells

• Gennadiy Arkhipov, Alexander Kalimov,
  ETC, Russian Aluminum, State Polytechnic
  University, Krasnoyarsk St.-Petersburg

September 2004
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Structure of the presentation

• Theoretical basis currents and magnetic field
  simulation MHD, wave processes, stability
• Software structure and realization, input and
  output data presentation, compatibility
• Verification comparison with available
  experimental data.
• Summary.

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Currents general circuit model
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Currents equivalent circuit for the cathode
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Equivalent parameters of the cathode blocks
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Magnetic filed simulation
Sources

• Busbar system
• Distributed currents in anodes, cathode lining,
  aluminum and electrolyte layers
• Magnetized ferromagnetic elements of the cell
  construction
• External sources (connecting power lines,
  neighboring cells, cell lines, etc.).

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Principles of the magnetic field calculation

• Current sources Biot-Savart law. Analytical
  expressions are used when necessary.
• Ferromagnetic elements space integral equation
  in terms of the steel magnetization
• Magnetic permeability of the steel constructions
  depends on the field intensity

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Circulation and static interface skew
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Wave processes. Davidson Lindsay model.
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Postprocessing of the wave solution.
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Initialization of the wave process
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Program structure
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Data input
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Visualization
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Presentation of output data(currents and
magnetic field)
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Presentation of output data(MHD)
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Magnetic field in the 255 kA cell
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Magnetic field in the 255 kA cell
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Magnetic field in a 255 kA cell
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Stability of the 165 kA cell(Krasnoyarsk)
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Stability of the 165 kA cell
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Stability of the 85 kA cell(Slatina, Romania)
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Magnetic field and stability of the 85 kA cell
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Stability of the 85 kA cell.
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Unstable oscillations
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Summary

• Achieved results
• A software complex to calculate currents,
  magnetic field, MHD characteristics of aluminum
  reduction cells have been developed
• Comparison of the calculated data with available
  experimental information demonstrated reasonable
  agreement.
• Main directions of the further movement
• Solution of the thermal problem
• Development of nonlinear MHD model.