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coarse quartz lumps that do not have time to heat properly all the way to the center
before entering the hot zone. A third reason is if the set point for the current is too
low, corresponding to a low value of the Westly constant, also known as C
3
(see Eq.
8, where I is the current in kA and P is the furnace load in MW).
C
3
= I / P
2/3
(8)
Typical values of C
3
for medium sized furnaces are in the range 8,5 – 9,5. Lower
values of C
3
means that a higher fraction of the furnace load is delivered to the upper
part of the furnace. This increases the melting of quartz, which in turn increases the
amount of charge that is supplied to the hot zone. At the same time, there is less
energy available in the hot zone and the chemical conversion rate there decreases. A
too low C
3
value therefore results in more raw materials being supplied to the hot
zone than can be consumed by the endothermic reactions. Raw materials can then
build up below the electrode. Three main problems then occur:
1. The molten quartz does not conduct electricity. Too large amounts of it below
the electrode can thus prevent the electric arc from burning down towards the
metal pool. Instead it may be forced to burn from the electrode flank to the
side of the cavity wall. This means that even more of the energy will be
delivered to the upper part of the furnace and the problem may escalate.
2. A surplus of molten quartz may gather in the tapping channel or in its inlet and
cause problems in tapping the furnace.
3. The temperature may decrease in the hot zone because more energy is
delivered high up in the gas-filled cavity and less further down. This will
increase the SiO/CO ratio of the gas leaving the hot zone, which is
unfavorable as described earlier.
Good furnace operation requires that the C
3
value is chosen such that the material
transport to the hot zone matches the chemical consumption there. The energy balance
is then correct.
Situation 1 above normally changes the dynamic behavior of the electrode. An
electric arc that burns downwards against the metal pool with no major obstructions
will usually move only short distances up and down, typically less than 15 cm, in
response to relatively small dynamic changes in the furnace resistance. However, a
major change in resistance occurs once insulating quartz blocks the electric arc so that
it suddenly jumps over to a highly conducting area of the cavity wall. The current then
increases abruptly and the electrode regulator responds by lifting the electrode to
lower the current as it expects to increase the length of the electric arc by this.
However, since the electric arc now all of a sudden burns high up on the electrode
flank, there will be little, if any, increase in the length of the electric arc as the
electrode moves up. Instead the root of the electric arc just slides along the electrode
flank until the tip of the electrode reaches up to where the electric arc burns. Then the
resistance starts to increase and the electrode lifting stops. We typically see an
electrode that moves up 30-50 cm in a few minutes as it connects to the side of the
cavity wall in this way.
Once the electrode tip is lifted this far up, there is no easy way for it down again, at
least if the cavity wall has not become a narrow cylinder around the electrode. Instead
it must work its way gradually down again by reacting or melting away parts of the
cavity wall so that the electric arc length increases or the electric conductivity of the
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