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Glass electric melter interelectrode resistance - QuickField simulation example

The electric glass melter features 8 electrodes deeply inserted into the bulk glass [1]. We need to find the electrode to electrode resistances.

Engineering question

How to find interelectrode resistance in glass melters?

Answer
Set up a 3D QuickField DC Conduction problem for a glass melter electrode system and evaluate interelectrode resistance from computed field results.

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Typical applications
glass melting furnaces, molten glass electrodes, furnace electrode arrays

Glass electric melter interelectrode resistance

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Simulation problem

Problem Type
3D problem of DC conduction.

Geometry
Geometry model is prepared by Ivan De Luca (I.E.C.I. Engineering srl.)
Glass electric melter interelectrode resistance The electric melter features 8 electrodes. 120 inches 120 inches 48 inches 31 inches 4 20" 20" 30" 1 2 6 5 8 7 4 3 Electrode Glass Glass

Given
Electrical conductivity of electrodes 3.17 MS/m,
Electrical conductivity of glass 11 S/m.

Task
Calculate electrode-to-electrode resistance matrix.

Solution
We should apply the electric potential difference to each pair of electrodes and measure the current. The resistance is the ratio of potential difference to this current.
There are C 8 2 = 8! (8-2)! 2! = 28 combinations of pairs of electrodes. Due to model symmetry there is no need to calculate all inter-electrode resistances:
R12 = R34 = R56 = R78
R13 = R24 = R57 = R68
R14 = R23 = R58 = R67
R15 = R27 = R36 = R48
R16 = R17 = R25 = R28 = R35 = R38 = R46 = R47
R18 = R26 = R37 = R45

Results

Electrode potentialCurrent, AResistance, mOhm
#1#2#3#4#5#6#7#8
1500178883.9
15001030145.6
15001023146.6
15001080138.9
15001126133.2
15001126133.2
15001217123.3

R12. Glass electric melter interelectrode resistanceR13. Glass electric melter interelectrode resistanceR14. Glass electric melter interelectrode resistanceR15. Glass electric melter interelectrode resistanceR16. Glass electric melter interelectrode resistanceR18. Glass electric melter interelectrode resistance

Reference:
[1] A.A. Ghandakly; R.L. Curran Accurate modeling of interelectrode resistance and power dissipation in electric glass melters IEEE Transactions on Industry Applications (Volume: 24, Issue: 6, Nov.-Dec. 1988).