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Qualitative  Concepts  in  Control  Engineering   11

























             FtouRE 1-14  A molten glass forehearth.



             explanation of the process depicted in Fig. 1-14 is necessary. The fore-
             hearth is a  rectangular duct made of refractory material about 1 ft
             wide, about 16ft long, and about 6 in deep. Molten glass at a relatively
             high temperature, here 1163°C, enters the forehearth from a so-called
             refiner. The forehearth is designed to cool the glass down to a suitable
             forming temperature, in this case 838°C. There is a gas combustion
             zone above  the  glass where  the energy loss from  the glass is  con-
             trolled by maintaining the gas (not tlte glass) temperatures at desired
             values via controllers, the details of which we will gloss over for the
             time being.
                There are three zones: the rear, mid, and bowl. In each zone, the
             gas combustion zone temperature above  the glass is  controlled by
             manipulating the flow of the air that is  mixed with the natural gas
             before combustion. The amount of gas drawn into the combustion
             zone depends on the amount of air flow via a ventura valve. In the
             rear zone, a master control loop measures the TG(l) glass tempera-
             ture (as measured by a thermocouple inserted into the molten glass)
             and adjusts the set point for a second loop, called a slave loop, which
             controls  the  gas  combustion  zone  temperature  TG(2)  by  in  tum
             manipulating the flow  of combustion air.  There is a similar pair of
             control loops in the midzone and the bowl zone. In Chap. 11, we will
             treat this combination of two control loops, called a cascade  control
             structure, in detail.
                Therefore, in each zone the control challenge is to adjust the com-
             bustion zone temperature set point so as to keep the bowl tempera-
             ture TG(3) sufficiently close to 838°C. It  is a tough task. The incoming
             glass varies in temperature, the manufacturing environment ambient
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