COOLING SYSTEM FOR A ROLLING MILL

Abstract

A method of cooling a material in a cooling system of a rolling mill using a cooling fluid, which includes the steps of: conveying, by a transportation mechanism, a length of material into the cooling system of a rolling mill; measuring, by a sensor, a speed of the length of material; comparing, by a control system, the measured speed to a setpoint speed, wherein the setpoint speed has a corresponding first flow rate of the cooling fluid; calculating, by the control system, a second flow rate of the cooling fluid based on the comparison, wherein the second flow rate is different from the first flow rate; and applying, to the material in the cooling system, the cooling fluid at the second flow rate.

Claims

1. A method of cooling a material in a cooling system of a rolling mill using a cooling fluid, the method comprising the steps of: conveying, by a transportation mechanism, a length of material into the cooling system of a rolling mill; measuring, by a sensor, a speed of the length of material; comparing, by a control system, the measured speed to a setpoint speed, wherein the setpoint speed has a corresponding first flow rate of the cooling fluid; calculating, by the control system, a second flow rate of the cooling fluid based on the comparison, wherein the second flow rate is different from the first flow rate; and applying, to the material in the cooling system, the cooling fluid at the second flow rate.

2. The method of claim 1 wherein the second flow rate comprises an adjustment value, wherein the adjustment value is the result of the comparison between the measured speed and the setpoint speed, and further wherein calculating the second flow rate comprises adding the adjustment value to the first flow rate to give the second flow rate.

3. The method of claim 2 wherein the adjustment value is a value which minimises a difference between a final temperature of the length of material after the length of material has exited the cooling system and a setpoint temperature.

4. The method according to claim 1 wherein the method further comprises: measuring, by a first temperature sensor, an initial temperature of the length of material before the length of material has entered the cooling system; comparing the measured temperature to a setpoint temperature; calculating, by the control system, a third flow rate based on the comparison; and combining the third flow rate with the second flow rate.

5. The method according to claim 1 wherein calculating the first flow rate comprises: receiving, by the control system, a set of initial conditions relating to the material; modelling, by the control system and using the set of initial conditions, a cooling process of the material; and calculating, by the control system, the first flow rate based on the modelled cooling process.

6. The method according to claim 5 wherein the modelling further comprises: measuring, by a second temperature sensor, a final temperature of the length of material after the length of material has exited the cooling system; comparing, by the control system, the measured final temperature to a predicted final temperature; calculating, by the control system, a difference between the measured final temperature and the predicted final temperature; modelling an enhanced cooling process of the material using the set of initial conditions and the difference; calculating, by the control system, a fourth flow rate based on the modelled enhanced cooling process; and combining the fourth flow rate with the second flow rate.

7. The method according to claim 1 wherein the measuring, by a sensor, a speed of the length of material comprises measuring the speed of the length of material within the cooling system.

8. The method according to claim 1 wherein the second flow rate 30 comprises a plurality of flow references and the cooling system comprises a plurality of spray headers, and wherein the step of applying the cooling liquid at the second flow rate comprises: applying, to the material by each of the plurality of spray headers, the cooling fluid according to the corresponding flow reference of said spray header.

9. A system configured to cool a material in a rolling mill comprising: a transportation mechanism configured to convey a length of material into a cooling apparatus of a rolling mill; a sensor configured to measure a speed of the length of material; a control system configured to: compare the measured speed to a setpoint speed, wherein the setpoint speed has a corresponding first flow rate of the cooling fluid; calculate a second flow rate of the cooling fluid based on the comparison, wherein the second flow rate is different from the first flow rate; and applying, to the material in the cooling system, the cooling fluid at the second flow rate.

10. The apparatus according to claim 9 further comprising a first temperature sensor configured to measure an initial temperature of a length of material before the length of material has been fed into a cooling system; and wherein the control system is further configured to: compare the initial temperature to a setpoint temperature; calculate a third flow rate based on the comparison; and combine the third flow rate with the second flow rate.

11. The apparatus according to claim 9 wherein the control system is configured to: receive a set of initial conditions relating to the material; model, using the set of initial conditions, a cooling process of the material; and calculate the first flow rate based on the modelled cooling process.

12. The apparatus according to claim 9 further comprising a second temperature sensor configured to measure a final temperature of a length of material after the length of material has exited a cooling system; and wherein the control system is further configured to: compare the final temperature to a predicted final temperature; calculate a difference between the measured final temperature and the predicted final temperature; model an enhanced cooling process of the material using the set of initial conditions and the difference; calculate a fourth flow rate based on the modelled enhanced cooling process; and combine the fourth flow rate with the second flow rate.

13. The apparatus according to claim 9 wherein the sensor is located within the cooling system.

14. The apparatus according to claim 9 wherein the cooling system comprises a plurality of spray headers.

Description

BRIEF DESCRIPTION OF DRAWINGS

[0039] FIG. 1 is a schematic diagram of a cooling process;

[0040] FIG. 2 is a schematic diagram of another cooling process; and

[0041] FIG. 3 illustrates steps of a cooling method.

SPECIFIC DESCRIPTION

[0042] The present disclosure relates to a method of cooling a material by a cooling system of a rolling mill using a cooling fluid, and a corresponding system configured to carry out the cooling.

[0043] An example cooling system 100 is shown generally in FIG. 1. The cooling system 100 cools a sheet of material 6 that has been rolled in a rolling mill 2 before the material is turned into a final product. In some cases, in order to produce the final product, the sheet of material 6 is rolled up into a coil using a coiler 4, for example an up-coiler. In other cases, the sheet of material 6 is divided, for example using a flying crop shear 5, into a number of smaller sections which may be referred to as plates. The sheet of material 6 is passed from the rolling mill 2, through the cooling system 100, and optionally to a coiler 4 using a transportation mechanism (not illustrated). Typically the transportation mechanism takes the form of a series of rollers, on which the sheet of material 6 is placed, so that rotational movement of the rollers causes advancement of the material 6 through the various components of the rolling mill and cooling system 100 (from left to right in FIG. 1). The material 6 is typically a metallic product such as elemental metal or, more commonly, an alloy. In particular the metallic product may be a ferrous alloy such as steel, or an aluminium alloy.

[0044] The cooling system 100 comprises a cooling apparatus 102 configured to cool the material using a cooling fluid and a control system 300, in communication with the cooling apparatus 102, configured to control the cooling apparatus 102. In particular, the sheet of material 6 is cooled by the cooling apparatus 102 which is arranged to spray a cooling liquid onto the material 6 as it passes through the cooling system 100 via the transportation mechanism. The particular form of cooling liquid may vary depending on the type of material being cooled. For example, if the material 6 is steel or steel-based the cooling liquid is water. As another example, if the material 6 is aluminium or aluminium basedthe cooling liquid is an oil-water mixture. In the example shown in FIG. 1 the cooling apparatus 102 comprises a plurality of nozzles 101. The nozzles 101 spray cooling liquid through the nozzles onto the external surface of the material 6, in order to cool the material 6 using the cooling liquid. The plurality of nozzles can be split into two groups. A first groups of nozzles are located at the beginning of the cooling apparatus 102 and may be referred to as spray headers 103. A second group of nozzles are located at the end of the cooling apparatus 102 and may be referred to as trim headers 104.

[0045] The final temperature of the sheet of material 6 is controlled through control of the amount of cooling liquid applied to the material 6 by the cooling apparatus 102 through the various nozzles 101.

[0046] More particularly, the final temperature of the material 6 is controlled using a combination of the initial temperature of the sheet of material 6 as it enters the cooling system 100 and the final temperature of the sheet of material 6 as it exits the cooling system 100. This may be referred to as feedforward control (using the initial temperature) and feedback control (using the final temperature). The trim headers 104 are configured to apply a fixed flow of cooling liquid to the material 6 controlled as part of a feedback control loop. By fixed flow, each trim header 104 can either be in the on or off state, and when in the on state the flow of that trim header 104 is set at a fixed level. In other words, each trim header can apply either no cooling liquid or cooling liquid at a fixed flow rate. The spray headers 103 are configured to apply a variable flow of cooling liquid to the material 6, controlled as part of a feedforward control loop. By variable flow each spray header 103 is generally in the on state and the flow of that spray header 103 can be at any flow rate from zero up to a maximum flow rate. In other words, each spray header 103 can apply no cooling liquid or cooling liquid at any flow rate up to a maximum flow rate. The feedforward and feedback control processes will be described in further detail later.

[0047] In the absence of any form of control loop (either feedforward or feedback control), the cooling system will apply cooling fluid to the material at a first flow rate. The effect of including a control loop is to adjust the first flow rate to a new flow rate, which is generally different from the first flow rate, to be applied by the nozzles 101 to the material 6. The new flow rate comprises the first flow rate and an adjustment to be made to the first flow rate, the adjustment being referred to as a flow trim. The resultant new flow rate is referred to as the flow reference.

[0048] There are a number of factors which affect the amount of cooling liquid that needs to be applied to the material 6 in order to reach the final desired temperature of the material (known as the setpoint temperature) including various properties of the material 6 (for example, but not limited to, the chemical composition and the physical dimensions of the material 6) and the speed at which the material 6 enters and passes through the cooling system 100. The first flow rate is calculated taking into account these factors.

[0049] These factors form part of a set of initial conditions 10 which are input into a cooling model 20 within the control system 300 to calculate the amount of cooling liquid to be applied by the cooling apparatus 102 to the material 6, defined by the first flow rate. In particular, the cooling model 20 receives the set of initial conditions relating to the material and then the cooling model 20 models, based on the initial conditions, the physical cooling processes in order to calculate the flow rate of cooling liquid needed to be applied by the cooling apparatus 102 from the nozzles 101. This calculated flow rate, which has been calculated in the absence of any control loops, is the first flow rate. The first flow rate is passed from the cooling model 20 to a flow reference controller 40 within the control system 300.

[0050] In order to verify whether the amount of cooling liquid applied to the material 6 is suitable such that the final temperature of the material after it exits the cooling system 100 is substantially the same as the setpoint temperature, within industry accepted tolerance levels of +/20 degrees Celsius, the temperature of the material 6 after it has exited the cooling system 100 is measured by a temperature sensor 108, in the form of a pyrometer and located between the cooling system 100 and the coiler 4. This temperature measurement may be referred to as the exit temperature.

[0051] The exit temperature is fed into a feedback controller 50, forming part of the control system 300, which compares the exit temperature to the setpoint temperature. If the exit temperature is different to the setpoint temperature, by more than an acceptable level of tolerance, the cooling apparatus 102 is applying an unsuitable amount of cooling liquid to the material and so the flow rate of cooling liquid from the nozzles 101 needs to be adjusted in some way. Any resulting temperature difference is used to adjust control of the trim headers 104, as part of the feedback control loop. For example, if the exit temperature is too cold compared to the setpoint temperature, less cooling liquid needs to be applied to the material 6, and vice versa. The temperature difference is used to calculate an adjustment which needs to be made to the first flow rate. This adjustment may be referred to as a first temperature-based adjustment and is an example of a type of flow trim. Other types of flow trim are also possible, as will be discussed later.

[0052] The first temperature-based adjustment is sent to the flow reference controller 40 where it is combined with the first flow rate from the physical model 20 to give a resulting flow reference for the trim headers 104. The flow reference controller 40 controls the flow of cooling liquid from the trim headers 104 in accordance with the flow reference, where each trim header 104 is able to apply the same flow reference (i.e. the same amount) of cooling liquid to the material 6. That is, the flow rate of all the trim headers 104 in the plurality of trim headers 104 is the same across the plurality of trim headers 104. In order to adjust the flow rate of cooling liquid applied by the trim headers 104, the trim headers 104 can be switched on and off. In this case, each trim header 104 can be switched on and off independently of the other trim headers 104 in the plurality of trim headers so that any number of trim headers 104 can be on. Thus, less cooling liquid can be applied by turning some of the trim headers 104 off and more cooling liquid can be applied by turning some of the trim headers 104 on. All trim headers 104 that are on apply cooling liquid at the same flow rate and so the amount of cooling is dependent on the number of trim headers 104 that are switched on at any given time.

[0053] The accuracy with which the physical model 20 calculates the flow reference is improved and maintained by a Heat Transfer Coefficient (HTC) Adaption 70 process. This process 70 uses feedback in the form of the exit temperature when the material leaves the cooling system 100. The HTC Adaption process 70 calculates the difference between the measured exit temperature and the exit temperature predicted by the physical model 20, based on the inputs 10. This difference is fed back into the physical cooling model 10 so that the difference can be accounted for during subsequent modelling and calculations. Generally, this process can be thought of as modelling an enhanced cooling process of the material using both the set of initial conditions 10 and the calculated difference between the measured exit temperature and the predicted exit temperature. The calculated amount of cooling liquid to be applied by cooling apparatus 102 based on the enhanced physical model can be referred to as a fourth flow rate. This fourth flow rate is passed from the cooling model 20 to the flow reference controller 40.

[0054] The amount by which the material 6 needs to be cooled will also depend on the measured temperature of the material just before it enters the cooling system 100 compared to the setpoint temperature. A greater difference between the two temperatures will require more cooling and vice versa.

[0055] Another temperature sensor 106, in the form of a pyrometer and positioned between the cooling system 100 and the rolling mill 2, measures the temperature of the material just before it enters the cooling system 100. This temperature sensor 106 may be considered a first temperature sensor and the previously described temperature sensor 108 may be considered a second temperature sensor.

[0056] The temperature measurement from the first temperature sensor 106, which may be referred to as the initial temperature or entry temperature, is input into a feedforward control 60 which is part of the control system 300. The feedforward control 60 compares the measured initial temperature to the setpoint temperature. Any resulting temperature difference is used to adjust control of the spray headers 103, as part of the feedforward control loop. The temperature difference is used to calculate an adjustment which needs to be made to the first flow rate. This adjustment may be referred to as a second temperature-based adjustment and is another example of a type of flow trim.

[0057] The second temperature-based adjustment is sent to the flow reference controller 40 where it is combined with the flow rate from the physical model 20 to give a resulting flow reference for the spray headers 103. As such, generally the control system can be considered as calculating a third flow rate of the cooling liquid based on the result of the temperature comparison. Thus the second temperature based adjustment can be thought of as the third flow rate. The flow reference controller 40 controls the flow of cooling liquid from the spray headers 103 in accordance with this flow reference, where each spray header 103 can apply a different amount of cooling liquid to the material 6. That is, the flow rate of the spray headers 103 in the plurality of spray headers 103 can be different across the plurality of spray headers 103.

[0058] In general, the flow reference sent from the flow reference controller 40 and applied by the spray headers 103 varies because the second temperature-based adjustment is not always the same, over a period of time. For example, at a first time period there may be a large difference between the setpoint temperature and the initial measured temperature, resulting in a large second temperature-based adjustment. However, at another time period such as a second time period there may be a small difference between the setpoint temperature and the initial measured temperature, resulting in a small second temperature-based adjustment. By configuring the spray headers 103 to be able to apply a variable flow rate to the material 6, the different flow references due to different temperature differences can be taken into account.

[0059] In more detail, all the spray headers 103 are generally on (rather than off). The amount of cooling is therefore dependent on the flow rate of each spray header 103. The entry temperature is measured and averaged for a segment of material having a predefined length, for example a segment of 1 m in length. The amount of liquid needed to cool the segment of material is calculated to give the flow reference for the spray headers 103 associated with that particular segment, as described previously. This calculation is repeated for each subsequent segment. The position of each segment through the cooling system 100 is tracked by the control system 300 so that the position of each segment of material relative to each spray header 103 is known at any given time. As each segment of material passes under a spray header 103, the flow reference that was calculated for that segment of material is applied by that particular spray header 103. As the segment of material progresses through the cooling system 100, and passes under subsequent spray headers 103, the flow rate applied by the subsequent spray headers 103 will be the flow reference calculated for that segment. As different segments of material pass through the cooling system 100, different flow references will be applied by the spray headers 103 that have been calculated for these different segments. Thus, because the entry temperature measured for each segment is generally different, the calculated flow reference for each segment is different and so the flow rate applied by the spray headers 103 changes as the material 6 passes through the cooling system 100.

[0060] As a result of the distance between the end of the cooling system 100 and the position where the second temperature sensor 108 is located, and thus where the exit temperature is measured, there is an inherent delay in the temperature difference being compensated for by the control system 300. As a result, there will be a length of material which has a temperature that is out of acceptable tolerance levels, the length corresponding to the distance from the cooling system exit and the exit temperature measurement position.

[0061] As can be seen in FIG. 1 two control loops are used to calculate the flow rate of cooling liquid. A first control loop comprises the second temperature sensor 108, the feedback controller 50, and the flow reference controller 40 of the control system 300, which measures the temperature after the material 6 exits the cooling system 100 and uses this to perform multiple calculations to adjust the flow rate for all the trim headers 104. This control loop may be considered a feedback temperature control loop. A second control loop comprises the first temperature sensor 106, the feedforward control 60, and the flow reference controller 40 of the control system 300, which measures the temperature before the material 6 enters the cooling system 100 and uses this to perform multiple calculations to adjust the flow rate for each spray header 103. This control loop may be considered a feedforward temperature control loop. Together, the feedback temperature control loop and the feedforward temperature control loop help ensure that the exit temperature of the material 6 is maintained at substantially the required setpoint temperature, within acceptable tolerance levels.

[0062] During these calculations the speed at which the material 6 travels through the cooling system 100 is assumed to match the setpoint speed supplied to the cooling model 20 as part of the initial conditions 10. However, as mentioned earlier, it is often the case that the actual speed at which the material 6 moves through the cooling system 100 is different to this setpoint speed. This difference in speed may be referred to as a speed error. As a result of the material 6 moving through the cooling system 100 at a different speed, the flow rate of cooling water being applied to the material 6 is not suitable for the actual speed at which the material 6 is moving, because the flow rate was calculated based on the setpoint speed, which affects the exit temperature of the material 6.

[0063] In order to improve the cooling of the material 6 to ensure the exit temperature is substantially the same as the setpoint temperature, the difference in the speed of the material 6 needs to be taken into account when calculating the flow rate. This process will be explained with reference to FIG. 2.

[0064] FIG. 2 shows another example cooling system 200 which is similar to FIG. 1 and like reference numeral represent like features and processes which will not be explained again. A general method of using the apparatus of FIG. 2 is illustrated in FIG. 3. The cooling apparatus 202 of the cooling system 200 comprises a plurality of nozzles 201. However, in this case, the nozzles 201 are all spray headers 203; there are no trim headers 104. This is because this cooling system 200 does not include the feedback temperature control loop of FIG. 1, which feeds back the exit temperature into the flow reference controller 40.

[0065] As before, and with reference to FIG. 3, in order to cool a material using a cooling fluid, a transportation mechanism firstly conveys a length of material into the cooling system of a rolling mill S300. During the cooling process, when the material 6 passes through the cooling system 200, a sensor measures the speed of the length of material S302. In particular, the actual speed at which the material 6 moves through the cooling system 200 is repeatedly measured using at least one speed sensor 80. In some examples the speed sensor 80 may take the form of one or more speed encoders on the transportation mechanism over which the material 6 passes. In other examples, the speed sensor 80 may take the form of a laser speed device.

[0066] The speed measured by the speed sensor 80 is input into a speed related flow controller 90 which is part of the control system 500. The speed related flow controller compares the measured speed to the setpoint speed. In other words, the control system then compares the measured speed to a setpoint speed S304, where the setpoint speed has a corresponding first flow rate of the cooling fluid associated with it. As discussed previously, if the speed of the material 6 through the cooling system 200 deviates from the setpoint speed then the exit temperature will vary from the desired setpoint temperature. Any resulting difference between the measured material speed and the setpoint speed can be thought of as a speed error. In some cases the speed error will indicate the material 6 is moving faster than expected and in other cases the speed error will indicate the material 6 is moving slower than expected. The resulting speed difference is used to adjust control of the spray headers 203, as part of another feedforward control loop. The speed difference is used to calculate an adjustment which needs to be made to the first flow rate. This adjustment may be referred to as a speed-based adjustment and is another example of a type of flow trim. The speed-based adjustment is the amount which minimises the resulting temperature difference. As the speed error varies over time the speed-adjusted flow rate also varies over time.

[0067] Generally, the speed-based adjustment is input into the feedforward control 260, and subsequently sent to the flow reference controller 240 where it is combined with the flow rate from the physical model 20 to give a resulting flow reference for the spray headers. Thus, generally, this process can be thought of as the control system calculating a second flow rate (the speed-based adjustment) of the cooling fluid based on the result of the comparison S306 and then applying the cooling fluid to the material according to the second flow rate S308.

[0068] In most cases, the adjustments calculated as a result of both the temperature comparison and the speed comparison are taken into account together, rather than considered separately. In this case, the speed-based adjustment is input into the feedforward control 260, where it is combined with the temperature-based adjustment calculated based on the initial temperature, to give a resultant feedforward adjustment. The resultant feedforward adjustment is another type of flow trim.

[0069] The resultant feedforward adjustment is subsequently sent to the flow reference controller 240 where it is combined with the flow rate from the physical model 20, to give a resultant flow reference for the spray headers 203. The flow reference controller 240 controls the flow of cooling liquid from the spray headers 203 in accordance with this flow reference, where each spray header is able to apply a different amount of cooling liquid to the material 6 in a similar manner as described with reference to FIG. 1. This means that the resulting flow reference compensates for both the errors in temperature and speed. Thus, the feedforward control 260 can be considered responsible for compensating for both the temperature and speed errors.

[0070] As can be seen in FIG. 2 two control loops are present within the control system 500. The first control loop comprising the first temperature sensor 106, the feedforward control 260, and the flow reference controller 240 of the control system 300 is substantially the same as the feedforward temperature control loop of FIG. 1. As such, this control loop is also a feedforward temperature control loop. This feedforward temperature control loop adjusts the flow rate for each spray header 204. The second control loop comprises the speed sensor 80, the speed related flow control 90, the feedforward control 260, and the flow reference controller 240 of the control system 500. This second control loop measures the speed at which the material moves through the cooling system 200 and uses this to perform multiple calculations to adjust the flow rate for all spray headers 204 so that the exit temperature of the material 6 is maintained at substantially the required setpoint temperature, within acceptable tolerance levels. This second control loop may be considered a feedforward speed control loop.

[0071] Using the combination of the two feedforward control loops, namely the feedforward temperature control loop and the feedforward speed control loop, differences in both temperature and speed are greatly reduced.

[0072] Further details about how the change in material speed is accounted for will now be described.

[0073] The cooling model 20 is a physical-based model which models the cooling process within a material. The model 20 comprises a finite difference temperature model which includes details of the cooling liquid-to-material heat transfer coefficients (for example water-to-steel heat transfer coefficients) as well as a microstructural model. The model 20 is able to predict the change in the material temperature as it is cooled, and predict the final exit temperature, at the second temperature sensor 108 after the material 6 exits the cooling system 200, based on inputs into the cooling model 20 including the first flow rate, the setpoint speed, and material properties (such as the thickness, temperature, and chemistry).

[0074] The distance over which the material passes through the cooling section 200 is fixed by the length of the cooling section 200, and is known as the cooling distance. This is the distance travelled by the material 6 while it is cooled. The length of time the material 6 is in the cooling section 6, and so the length time over which the material is being cooled, is known as the cooling time.

[0075] As the cooling distance is fixed, any speed errors result in a change in the cooling time because the material will be present in the cooling system 200 for a greater or lesser amount of time. For example, if the speed of the material increases from the setpoint the cooling time decreases, and vice versa. Therefore, since a change in speed is equivalent to a change in the cooling time, the cooling time can be varied in order to calculate the effect of a change in speed. The physical model 20 uses the cooling time (based on the setpoint speed) to calculate how much heat will be removed from the material 6, and as a result the exit temperature can be predicted by the model 20. By applying a small deviation to the cooling time about a nominal set of conditions, to take into account variations in speed, then the rate of change of material exit temperature with respect to the speed can be calculated by the physical model 20.

[0076] Variations in the flow rate of the cooling liquid also result in a change in the heat removal rate from the surface of the material 6. For example a high flow rate, corresponding to a large flow reference, leads to a high heat removal rate from the material and so the material cools down quickly. Conversely, a low flow rate, corresponding to a small flow reference, leads to a low heat removal rate from the material and so that material cools down slowly. Changes in flow rate, which cause changes in the heat removal rate, therefore cause changes in the exit temperature of the material. The relationship between the change in flow rate and the change in exit temperature can be determined and taken into account by the physical model 20. By applying a small deviation to the flow rate about the nominal set of conditions, to take into account variations in the flow rate of the cooling liquid, the rate of change of material exit temperature with respect to the flow rate can be calculated by the physical model.

[0077] By combining the relationship between the speed and exit temperature with the relationship between the flow rate and the exit temperature, a relationship between flow rate and speed can be calculated, as follows.

[0078] The physical model 20 generates two relationships, using nominal conditions. The first relationship is the rate of change of temperature at the second temperature sensor 108 (that is, the exit temperature) with respect to the change in material speed, which is given by dT/dv, where T is temperature in degrees Celsius and v is speed in metres per second. The second relationship is the rate of change of temperature at the second temperature sensor 108 (i.e. the exit temperature) with respect to the flow rate of cooling liquid from the nozzles, which is given by dT/dF, where Tis temperature in degrees Celsius and F is the flow rate in litres per second.

[0079] These two relationships are combined to give the rate of change of flow rate with respect to a change in speed, as follows:

[00001]$\frac{\mathrm{dF}}{\mathrm{dv}}=\frac{\mathrm{dT}}{\mathrm{dv}}\frac{\mathrm{dT}}{\mathrm{dF}}$

where the change in flow rate dF (in litres per second) is given by:

[00002]$\mathrm{dF}=\frac{\mathrm{dF}}{\mathrm{dv}}\left(\mathrm{measured}\mathrm{speed}-\mathrm{setpoint}\mathrm{speed}\right)$

[0080] Thus, the model 20 can predict what change in exit temperature will occur when the material speed is changed by a certain percentage. The flow rate can then be adjusted to compensate for the over- or under-cooling which will result from the speed change. The change in flow rate is applied to all spray headers 203. This means that the proportional change in flow rate at each spray header 203 is the same because the instantaneous change in speed of the material is the same for each spray header 203.

[0081] The use of two feedforward control loops compensates for speed variations and temperature variations occurring within the process. The main steps of the control process are as follows: [0082] a) measuring a speed error by comparing the setpoint speed of the material to the actual measured speed. [0083] b) calculating the variation in exit temperature with speed and the variation in exit temperature with flow rate. [0084] c) combining the calculated variations to give a variation in the flow rate with speed, which is the change in flow rate required to compensate for a variation in the speed. [0085] d) calculating the flow trim as a result of the change in speed and applying the flow trim to the flow trim calculated as a result of the feedforward temperature control loop. [0086] e) adjusting and maintaining the flow rate at the updated flow reference supplied from the feedforward controller based on the flow trims received from the feedforward temperature control loop and the feedforward speed control loop.

[0087] In summary the cooling systems and processes described herein provides an improvement in the temperature performance of the cooled material which results in a reduction in out-of-tolerance product and hence a reduction in operating costs.