Patent Grant
6991144
The invention relates to a method for controlling tension in a moving web. More particularly, the method relates to continuously controlling the tension of a moving web.
Web materials such as printing, industrial and tissue grades of paper, metal foils, cellulose and polymeric films, wires, ropes, strapping and thread are well known. Products made from these web materials are also well known. Ongoing desires to increase the productivity of the manufacturing operations associated with web materials and web products focus at least in part upon increases in the speed of handling of the web materials. As web handling speeds increase, the adverse effects of web material variations on web handling productivity also increase. Dynamic changes in characteristics such as web tensile strength and web modulus of elasticity, may lead to web breaks when the changes are not adequately compensated for in the web-handling process.
The handling of web materials often includes unwinding the material from a roll. The modulus of elasticity of the web material may change over the course of the roll. Changes in the modulus may affect the handling characteristics of the web material. The web material may become more sensitive or less sensitive to changes attempted by the control system of the web-handling process. Sensing changes in the modulus of elasticity as the roll is unwound may enable compensatory changes in the web-handling process to offset the changes in the modulus of elasticity while the web is being handled.
The invention provides a method for the dynamic control of the tension of a moving web material. The web's modulus of elasticity may be used as an input to modify the control scheme of the web-handling process. By sensing changes in the modulus of elasticity, and incorporating the sensed changes into the tension control scheme, the adverse effects of modulus changes may be mitigated.
A method for controlling tension in a moving web is described herein. Web material is transported with an apparatus. A modulus-of-elasticity-analog value is determined for the web material. The modulus-of-elasticity-analog value is used to adjust an instantaneous gain of the web control system. The instantaneous gain is used in the control calculation of the control system. The control calculation is used to control the speed of a web-handling drive. Controlling the speed of at least one appropriate web-handling drive controls the tension of the web.
While the claims hereof particularly point out and distinctly claim the subject matter of the present invention, it is believed the invention will be better understood in view of the following detailed description of the invention taken in conjunction with the accompanying drawings in which corresponding features of the several views are identically designated and in which:
As used herein:
Modulus-of-elasticity-analog value describes a calculated or determined value analogous to the slope of a stress—strain curve for a material during a deformation of the material.
Web-tension-analog value describes a determined or calculated value analogous to the machine-direction tension of the web material, including values equal to the actual web tension, at a specified point or in a specified span of web material.
Web-velocity-analog value describes a determined or calculated value analogous to a machine-direction velocity of the web material, including values equal to the actual web velocity, at a given point or in a given span of web material.
Flow-rate-analog value describes a determined or calculated theoretical rate at which an unstrained web would proceed through a portion of a web handling system.
Wound-in-tension-analog value describes a value analogous to the machine-direction forces present in a web in a wound roll of the web material. The value is calculated according to a web's unwinding velocity, the web's modulus-of-elasticity-analog value, and the web's flow-rate-analog value.
Span of web material, process span, or span, describes that portion of a web material in a web handling apparatus lying between a first web contact point and a subsequent web contact point. The web material proceeds through the span from the first web contact point, the upstream end, to the subsequent web contact point, the downstream end.
Unwinding web velocity-analog value, describes a velocity at which a moving web material is unwound from a reel of the web material.
The following description is related in terms of the handling of a single web of material. It will be understood by one of skill in the art that the invention is not limited to systems for handling a single web and that the invention may be used in the handling of multiple webs. As an example, the described invention may be used in the converting of a multiple-ply substrate. In this example, the invention may be used to determine characteristics of one or more of the webs handled by the system. The invention may be used as a portion of the tension and speed control system of one or more webs of a multiple-web-handling system. The invention may be used in a system handling multiple webs that have stress strain properties that are substantially similar. The invention may also be used in a system handling multiple webs wherein the webs have stress strain properties that are moderately or substantially different.
The modulus-of-elasticity-analog value for a moving web material may be dynamically determined according to the tensions and velocities of the moving web material. The modulus-of-elasticity-analog value is considered to be dynamically determined when it is determined for a portion of a web material while that web material portion is moving through a web-handling system. Web-tension-analog values are determined for each of two respective spans of moving web material. Web-velocity-analog values are determined for the same two spans. The two web-tension-analog values and two web-velocity-analog values may then be used to determine a web's modulus-of-elasticity-analog value, and/or a flow-rate-analog value.
The following steps of one embodiment of the invention are provided as a flow chart in
In another embodiment, the tension-sensing element may comprise a dancer arm and a spring coupled to a sensor capable of determining the displacement of the spring and of relating that displacement to the web tension. In still another embodiment, the tension-sensing element may be any means known in the art for sensing the tension in a moving web material W including the web-tension sensing means described in commonly assigned, co-pending U.S. patent application Ser. Nos. 10/461,321 and 10/461,580, each filed Jun. 13, 2003.
The tension-sensing element senses a force that varies according to the tension in the moving web material W. This force may be equal to, directly proportional to, or otherwise analogous to, the machine-direction tension in the moving web material W. The sensed force analog is considered to be a web-tension-analog value. The terms tension, and tension-analog value as used herein, are each considered to include the actual web tension and any web-tension-analog values.
According to
Web-velocity-analog values are determined by velocity-sensing elements 300 and 400. The values determined are proportional to, and vary according to, the machine-direction velocity of the moving web material W. The web-velocity-analog values may equal the actual web velocity, or the values may be analogous to the web velocity. The terms velocity, and velocity-analog value as used herein each include the actual web velocity and values analogous to the actual web velocity.
In the embodiment illustrated in
The velocity and tension-analog values of a span may be sensed at a single point for the span. In the embodiment illustrated in
According to the embodiment illustrated in
The first tension T1, second tension T2, first velocity V1, and second velocity V2, may be conditioned prior to being sent to the processor 500. Exemplary conditioning includes the application of anti-aliasing, smoothing, and limiting filters to the signals. The signals may be conditioned at the input sensor. The sensor hub may filter and/or condition the input signals prior to broadcasting the signals to the processor 500. The input signals may be conditioned after receipt by the processor 500. The input signals may be band pass filtered as is known in the art to remove extraneous noise from the signals and to improve the signal to noise ratio of the signals. The input signals may be low pass filtered, and/or subjected to smoothing filters as are known in the art. The input signals may be time averaged. The time averaging may be a function of the sensor, an intermediate transmission hub, or the averaging may occur at the processor 500. The control system may be configured to constrain the input values between a minimum value and a maximum value to prevent undesirable control loop outputs from resulting. These upper and lower constraints may protect the controlled equipment in the event of a sensor failure or under other conditions when the processor 500 would use aberrant input values.
The processor 500 receives the input signals and determines the modulus-of-elasticity-analog value of the moving web material W. Web tension and web velocity are related to the modulus-of-elasticity-analog value by the equation:
Where: Tn=the web tension in a span n
This equation may be used in the processor 500 to determine an Ew that is analogous to the actual modulus of elasticity of the moving web material W.
Alternatively, solving the two equations for VO, yields the equation:
This equation may be used in the processor 500 to determine a VO that is analogous to the actual flow rate of the moving web material W.
The equations may also be used to determine Ew in terms of VO:
Or, to determine VO in terms of Ew:
Using the above-developed equations, the processor 500 may be configured to determine a VO based upon the determined value for Ew and the input values T1, and V1, or T2, and V2. Alternatively, V0 may be determined using only the input values T1, V1, T2, and V2. In this alternative, Ew may be determined using V0 and the input values T1, and V1, or T2, and V2. In another alternative, the values of Ew and V0 may each be determined using the values of T1, V1, T2, and V2.
According to step 80 of the embodiment illustrated in
Vu may be determined,
The determined Ew may be used in conjunction with a transfer function to adjust the web-handling process relative to a web-converting operation. As an example, embossing a web alters the value of Ew in a predictable manner. This manner may be expressed as a transfer function of Ew. This transfer function may be determined according to first principles, empirically, or by other means known in the art. The transfer function may then be used together with the determined Ew to control the web downstream of the embossing operation. The use of the determined Ew and a transfer function downstream of a converting operation may be applied to any converting operation known in the art, and to the converting of single and multiple webs.
Ew and V0 may also be used to determine an on-line value for web strain according to the equations:
Strain may also be considered as the quotient of the change in length and the original length of a stressed web. The determined value for strain may be used as an input in a control system adapted to adjust tension and/or velocity to achieve and maintain a desired value for web strain.
Those portions of the following description relating to the determination of Ew, are understood by those of skill in the art to be applicable to the determination of VO, and Tw as well.
Input Value Timing:
In one embodiment of the method, Ew is determined by the processor 500 using concurrently provided values for T1, T2, V1, and V2. T1 and V1 correspond to the passage of a first portion of the moving web material W through a first span. T2 and V2 correspond to the passage of a second portion of the moving web material W through the second span at approximately the same time as the passage of the first web portion through the first span. The processor 500 may determine Ew using the concurrent input values. Concurrent input values are sensed at about the same time. In many cases this concurrent Ew provides an accurate approximation of the Ew of the moving web material W.
In some circumstances, the concurrent Ew determined in the above described manner may not be an accurate enough approximation of the modulus of elasticity of the moving web material W, to be of use. In these circumstances, it may be advantageous to determine Ew using values of T1, T2, V1, and V2, that are associated with the same particular portion of the moving web material W as opposed to values associated with the same time of web handling.
As one example of circumstances under which concurrent determinations of T1, T2, V1, and V2 may yield less than completely satisfactory results, out-of-round rolls induce fluctuations in web tension and velocity as the web material of the rolls is unwound. These fluctuations may be due to the varying diameter of the out-of-round roll and/or the accompanying fluctuation in the distance between the point on the roll circumference where the web unwinds from the circumference (the release point) and the first web-handling component. Over the course of a single revolution of an out-of-round roll, the release point of the web will move toward the first web handling component, and move away from the first web handling component. The oscillating motion of the release point with respect to the first web handling component may cause oscillations in the web's tension and velocity. These oscillations may be unrelated to changes in the modulus of elasticity of the moving web material W. The oscillations may travel or propagate along the web path. Ew is determined according to the web's tensions and velocities. Values of Ew determined according to tension and velocity values that are fluctuating due to the roll being out-of-round may also fluctuate regardless of the actual modulus of elasticity of the moving web material W. It may therefore be advantageous to compensate for this possible source of extraneous tension and velocity fluctuations that can adversely impact the accuracy of a determined Ew. It is possible to determine values of T1, T2, V1, and V2 that are associated with the passage of the same portion of moving web material W through each of the first and second spans. Input values determined in this manner are in phase with the fluctuations and may therefore reduce the impact of the fluctuations on the calculations of Ew by the processor 500.
Another example of circumstances under which concurrent determinations of T1, T2, V1, and V2 may yield less than completely satisfactory results is when Ew varies considerably throughout the roll of material being unwound. It is possible that the actual Ew for the web portion in the first span may differ from the actual Ew for the web portion in the second span. For these materials it may be beneficial to determine an Ew that is associated with a single portion of the web material passing through the first span and subsequently passing through the second span. The Ew associated with any particular web portion may then be used to tailor the web handling of that portion of material as the portion proceeds through the web handling system.
The use of time-buffered input values may provide the additional benefits of enabling the determination of more accurate values in less time and decreasing the response time of the control system. These benefits may be provided by a reduction in the need for filtering the input values. The filtering of the input values may be reduced because the input values are in phase and fluctuations between the signals due to phasing may be reduced.
In one embodiment of the method, the values of the tension and the velocity corresponding to the passage of a portion of the web through the first span 1 are stored in a time-buffer for a predetermined amount of time. These time-buffered values are then used by the processor 500, together with the values of tension and velocity corresponding to the passage of the same web portion through the second span to determine an Ew for this portion of the web. The determined Ew corresponds to the modulus of elasticity for the particular web portion. As the modulus of elasticity varies throughout the roll the determined Ew may also vary.
The predetermined time delay for the storage of the time-buffered values from the first span 1 may be determined by considering the known distance between the spans and the determined velocity of the web in each of the spans. With this information it is possible to determine the time a portion of the moving web material W leaving the upstream span takes to reach the corresponding position of the downstream span. The magnitude of the time delay may be dynamically determined by the processor 500 according to the determined velocity of the moving web material W. The web's velocity may vary during the web-handling process, these variations may affect the time elapsed between the handling of the moving web material W by the first span 1 and the handling of the same portion of moving web material W by the second span 2. These changes in velocity may be sensed as described above, or by other means as are known in the art, and provided as an input to the processor 500.
In another embodiment, the magnitude of the time delay may be determined by sensing a mark present on the web W. The first span input values may be determined in association with the sensing of the mark in the first span. The second span input values may be determined in association with the sensing of the mark in the second span. The mark may be an inherent feature of the web W or may be placed upon the web W either during the manufacture of the web or subsequent thereto. The mark may be sensed using any means known in the art appropriate to the particular nature of the mark. Exemplary means include without being limiting, infrared sensors, optical sensors, machine vision systems, magnetic sensors, and proximity sensors.
The processor 500 may be configured to adjust the magnitude of the time delay buffer in accordance with the changes in the web's velocity, or in accordance with the time between the first sensing of a mark and the second sensing of the mark. The magnitude of the time-buffer may be increased as the velocity of the web decreases. The magnitude of the time-buffer may be decreased as the velocity of the web increases. The values of T1 and V1 may thus be held at least until values of T2 and V2 corresponding to the passage of the same portion of moving web material W through the second span 2, are provided as input values to the processor 500. After the values of T2, and V2, corresponding to the handling of the web portion in the second span 2 are provided, Ew may be determined using input values corresponding to the handling of a single portion of moving web material W.
T1, V1, T2, and V2, may be further time-buffered and held until such a time that the processor 500 determines another Ew. The time-buffered values may be held and compared to the input signals for T1, T2, V1, and V2 and updated as those input values change. Alternatively, the time-buffered values may be held for a predetermined amount of time and then replaced with either the current input values or a value held in another time-buffer. In this manner, a cascade of time-buffered values corresponding to distinct portions of web material may be held and subsequently used to determine values of Ew associated with corresponding particular portions of moving web material W.
Value Determination Frequency:
In one embodiment, the method of the invention may be used to determine Ew according to a scheduled scan rate of the processor. The scheduled scan rate describes the timing assigned to a given processor task. Ew may be determined during each execution of the processor program. In another embodiment, the processor may be configured to determine Ew each time any of the sensed input values changes. In this embodiment, Ew is only determined when it is likely that a different value for Ew will be determined. As described above, the input values may be held in processor memory until the value of at least one input value changes. When at least one value changes the time-buffered value corresponding to the changed input value may be updated. Ew may then be determined using the time-buffered values.
In another embodiment, the processor 500 may be configured to determine Ew periodically based upon the passage of a predetermined amount of time. As non-limiting examples, the processor 500 may be configured to determine a value for Ew more than once a second, after every one second, ten seconds, thirty seconds, one minute, ten minutes, thirty minutes, or longer time periods of web movement. In still another embodiment, the processor 500 may be configured to determine Ew after the handling of a predetermined amount of web material. As a non-limiting example, the processor 500 may be configured to determine Ew after each 100 feet (30.5 m) of web has been handled.
In another embodiment, the processor 500 may be configured to determine Ew based upon the rotation of the roll R of web material W as the roll R is unwound. As shown in
The angular position of the roll may then be used to trigger a determination of Ew using either time-buffered or concurrent values of T1, V1, T2, and V2. This embodiment permits the determination of Ew corresponding to angular positions around the circumference of the roll. As an example, this embodiment would permit the determination of a value of Ew corresponding to every ten degrees of rotation of the roll of moving web material W. The ten-degree interval is in no way limiting on the embodiment and the limits on the interval would be linked to the limits of the sensor to resolve the rotational position of the roll, and on the processor 500 to determine a new Ew. As a non-limiting example, an encoder capable of resolving a single roll revolution into two million segments may be used as an input to the processor 500 to trigger a calculation of Ew, VO, Tw, and combinations thereof, two million times per revolution of the roll of moving web material W.
Tension Control:
In one embodiment, the tension of the web material in the initial span, and/or any desired downstream span, may be controlled according to a predetermined tension set-point value. The set-point value may be determined to provide for productive and reliable web handling without exceeding the upper and lower limits of the web material. The upper and lower limits may depend upon the web material characteristics. The limits are related to the tensions at which the web may break or at which unacceptable deformation may occur. The limits may relate to tensions at which the process may yield a finished product of unacceptable quality. In this embodiment, the web-tension-analog value may be determined for the web in the desired span as described above, and the speed of the upstream drive of the span, the downstream drive of the span, or both the upstream and downstream drives, may be varied to maintain the web-tension-analog value at, or around, the predetermined tension set-point value. This variation of the drive speeds may be in addition to the control of the drives to achieve and maintain the desired web processing speeds.
In one embodiment, the unwinding of a roll may be controlled according to the tension in the initial span of the web material. In this embodiment, the unwinding speed of the roll may be varied to maintain a desired web-tension-analog value in the initial span of the web material. During the unwinding of an out-of-round roll, the roll unwinding speed may be varied as the roll unwinds to compensate for the tension fluctuations caused by the fluctuations in the roll diameter. This method of control may reduce the impact of the out-of-round rolls on the tension and velocity of the web in subsequent downstream spans. The unwinding speed of the web may also be varied to compensate for changes in the wound-in-tension of the web material. The changes in the unwinding speed of the web are made according to the output of a controller based upon changes in the sensed tension in the initial span. The controller may perform a control manipulation using a sensed web-tension-analog value, a tension set-point value, the difference between the web-tension-analog value and the tension set-point value (the tension error value) and control loop gain values, to determine the magnitude of the adjustment to the controller output that will reduce the magnitude of the tension error.
The aforementioned controller may be provided as a secondary unit in addition to the previously described processor 500. It is also possible that the processor 500 may provide the functions of determining Ew, VO, and Tw, as well as providing the functionality of the controller. The following description is in terms of the processor 500 but one of skill in the art will understand that the invention is not limited to the use of a single unit to provide all of the described functions. It will be further understood that the control of the web's tension may be provided by a controller that is distinct from the processor 500. Communications between the processor 500 and a distinct controller may be achieved by any means known in the art.
The method of the invention may be used to determine the modulus of elasticity for any moving web material. The modulus of elasticity may be used as an input for controlling the speed of the web handling equipment according to a desired web tension denoted by a web tension set-point. Ew may be used in the determination of a control loop gain value. The control loop gain value may be used in the control calculation of the processor 500 to determine the adjustment in the processor 500 output necessary to achieve and maintain a desired tension based upon a sensed tension and a desired tension set-point. As the determined Ew changes, the control loop gain value associated with Ew may also change. Dynamic changes to the control loop gain based upon changes in Ew may make the web handling system more responsive to changes in the characteristics of the web material and more reliable.
Without being bound by theory, applicants believe that the modulus of elasticity acts as a process gain in the tension control loop. The rate of response of the web, to changes in the control loop of the web handling process, increases as the modulus of elasticity of the moving web material W increases. The increase in the rate of response may cause the control loop to become undesirably oscillatory and/or unstable. As drive units are adjusted to achieve or maintain a desired web tension set-point, the increased rate of response may cause the control loop to oscillate around the tension set-point. This oscillation may be harmful to the drive system and/or the drive motor. The oscillation may lead to an increased occurrence of web breaks, causing an undesirable loss of productivity. The oscillations may cause undesirable variations in the finished product.
As the modulus of elasticity decreases, the rate of response of the web to control loop changes decreases, resulting in less effective tension control. As the control becomes less effective, the system will be less able to maintain the web at a desired tension set-point. The tension in the web may vary resulting in an inconsistent product and presenting web-handling difficulties due to differences between actual tensions and desired tensions.
Modulus of elasticity compensation (modulus compensation) utilizes the determined Ew value as an input to adjust the gains of the processor 500 control algorithm. These adjustments may produce a more uniform rate of response despite variations in the modulus of elasticity of the web. In a typical Proportional+Integral processor 500 control algorithm, the modulus may be used to determine a value for the proportional gain to achieve a more consistent rate of response for the control loop. As Ew increases, modulus compensation may provide a decreased value for the proportional gain of the system to offset what may otherwise be an increase in the rate of response. As Ew decreases, modulus compensation may provide an increased value for the proportional gain to maintain what may otherwise be a decreased rate of response.
Modulus compensation may be used in conjunction with the method for controlling tension in a web described in commonly assigned co-pending U.S. patent application Ser. No. 10/234,735 filed Sep. 4, 2002. The method of the invention may be used in conjunction with other tension control schemes as are known in the art by serving as an input in the adjustment of process control gains.
In one embodiment illustrated in
In another embodiment, a reference integral gain may be determined according to a reference speed value and the length of the process span. The processor instantaneous integral gain may then be varied in proportion to the reference integral gain according to the ratio of the web speed analog value and the reference speed value.
In each of these examples, the web-velocity-analog value may comprise the actual web velocity value as determined by appropriate instrumentation, examples of which are described above, or the web-velocity-analog value may comprise a value proportional to a master speed reference value used to control one or more drive units in the web handling system.
For each segment of a multi-segment process, a speed draw setting may be determined for any particular process segment tension desired. The speed draw setting adjusts the speed of the segment from the master speed reference to establish a base operating point for the segment tension. The master speed reference is modified according to the speed draw setting to determine a local speed reference for the segment motor controller. The web tension is then controlled using the method as disclosed above to maintain the segment process tension.
An additional feedback loop may be utilized to calculate the speed draw setting according to the controller correction calculation. In this embodiment, the speed draw setting is recalculated to change the controller correction to zero. Recalculating the speed draw setting to change the controller correction may maintain the output of the controller in a preferred range.
In each of these exemplary embodiments, the control system instantaneous proportional gain value may be varied according to changes in the modulus of elasticity of the web material.
The value of the instantaneous integral gain may be recalculated each time the web's velocity-analog value or tension changes. The value of the instantaneous proportional gain may be recalculated each time Ew changes. Alternatively, the instantaneous integral and proportional gains may be recalculated on a periodic basis using a time-based period or a web-based period. Under a time-based period the value of the instantaneous integral and proportional gains may be recalculated whenever a set period of time elapses. As examples, the value may be recalculated every ten seconds, thirty seconds, or after the passage of any other pre-selected time interval. Under a web-based period, values of the instantaneous integral and proportional gains may be determined each time a pre-selected amount of web material has been handled by the web-handling system.
Particular processor 500 hardware and/or software may limit the lowest web-velocity-analog value for which an instantaneous integral gain may be calculated. The value of the lower limit may be determined according to the specific details of the controlled process. In one embodiment the instantaneous integral gain value may be fixed at any web-velocity-analog value less than 1% of the maximum process speed. In another embodiment the integral gain value may be fixed at any web-velocity-analog value less than 0.1% of the maximum process speed. The speed at which the lower limit of the instantaneous integral gain may be determined is not limited to the above mentioned embodiments. The lower limit speed may be any speed less than the maximum speed of the process. A lower limit instantaneous integral gain may be determined for a selected lower limit web-velocity-analog value. The lower limit instantaneous integral gain may then be used at any web-velocity-analog value less than or equal to the lower limit web-velocity-analog value.
An auxiliary gain, as is known in the art, may be used in conjunction with the above described embodiments to provide an additional parameter for adjusting the control system.
Processor Constraints:
The processor 500 may be constrained to limit the upper values and lower values that may be determined for Ew, Tw, and VO. The configuration may provide that in the event that the determination of Ew, VO, or Tw, yields a result above the pre-selected upper limit or below the pre-selected lower limit that the determined value will default to the appropriate limit. As a non-limiting example, a processor 500 may have a pre-selected upper limit for Ew set equal to 6. The processor 500 may determine a value for Ew of 10 according to the inputs. In this instance, the value of Ew, used by the processor 500 to determine VO, Tw, and/or in the control calculation would default to 6.
The processor may constrain the rate at which the determined values used in subsequent calculations change. As an example, the processor may constrain Ew to change by no more than 50% of the previous value of Ew. The percentage of the limit may be any value chosen in accordance with the needs of the process. For processes where a high rate of change is permissible, the percentage may range from 100% to 1000% or greater percentage increases. For processes where the acceptable rate of change is low, the percentage of allowed change may range from 1% to 100%. The value may be chosen based upon empirical data or the experience of the process operator.
The processor 500 may be configured to constrain the output value used in a subsequent control calculation to remain within predetermined absolute limits. As an example, a base proportional gain and a base modulus of elasticity may be determined. The output proportional gain may then be adjusted according to the ratio of the base modulus of elasticity value and the determined modulus-of-elasticity-analog value. This ratio may be constrained to remain within a predetermined range. In one embodiment, the range may be from 0 to 100. In another embodiment the range may be from 0.1 to 50. The range may be determined to provide the desired extent of constraint.
The configuration of the processor 500 may be such that values determined outside pre-selected limits are recorded for subsequent review. The actual value determined as well as the input values leading to that determination may be saved and may further be time stamped or otherwise associated with a registering data value.
Modulus-of-elasticity-analogy Value Source:
The modulus-of-elasticity-analog value used as described above may be provided as described above, by the use of on-line ultrasonic sensors, by an off-line determination, or by any other means known in the art.
Paper web is unwound from a large parent roll for converting the web into a consumer paper product. The web is wrapped around a first idler roller. The idler roller is coupled to a pair of ABB Pressductor load cells model number PFTL301E. The Pressductor load cells receive control power from, and provide output signals to, an ABB Tension Electronics unit PFEA111. The Tension Electronics unit low-pass filters the input signals. The load cells and tension electronics unit are available from ABB, Brewster, N.Y. The Tension Electronics unit amplifies the signal from the load cells yielding a 0–10 Volt analog output signal. The output of the Tension Electronics unit is hard wired to an input circuit board of a Robox RBXM Modular Motion controller available from Robox S.P.A., Ticino, Italy.
Velocity inputs are derived from encoders coupled to drive motors and also to powered rollers. The drive motors and powered rollers are components of the web handling system. A Siemens drive motor comprising an integral encoder, available from Siemens AG of New York, N.Y., and a TR Electronics incremental encoder model IE58a available from TR Electronic Inc. of Troy, Mich. are exemplary, non-limiting encoders. The encoders provide respective outputs of 4096 and 3000 pulses per revolution, and are hardwired to the controller encoder input circuits. The controller receives the output pulses of the encoders as input pulses and converts the input pulses to revolutions per second, and then to a velocity, using the known circumference of the web contacting roller, and the processor clock.
The velocity and tension input signals are first-order filtered and time buffered by the Robox controller and subsequently used to determine values for Ew. A predetermined base modulus of elasticity value set in the Robox controller is divided by the determined Ew value to determine a modulus ratio. The modulus ratio is then multiplied by a base proportional gain set in the Robox controller to determine an instantaneous proportional gain. As the determined Ew increases, the modulus ratio decreases and the instantaneous proportional gain value decreases. The modulus ratio is constrained between 0.5 and 1.5.
The instantaneous proportional gain is used in the Robox controller control calculation to determine the controller output. The Robox controller output is a 0–10 volt analog signal provided to an Allen-Bradley 1336 Force Drive, available from Allen-Bradley, Milwaukee, Wis. The model 1336 Force Drive unit subsequently adjusts the speed of a controlled motor in the web-handling process. As the modulus of elasticity of the web changes, the determined value of Ew changes. The proportional gain changes according to changes in Ew, and the output to the drive controller changes according to the proportional gain. The speed of the controlled motor changes according to the changes in the output to the drive controller.
All documents cited in the Detailed Description of the Invention are, in relevant part, incorporated herein by reference; the citation of any document is not to be construed as an admission that it is prior art with respect to the present invention.
While particular embodiments of the present invention have been illustrated and described, it would have been obvious to those skilled in the art that various other changes and modifications can be made without departing from the spirit and scope of the invention. It is therefore intended to cover in the appended claims all such changes and modifications that are within the scope of the invention.
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