CN108516678B - System design method in optical fiber drawing tower - Google Patents

System design method in optical fiber drawing tower Download PDF

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CN108516678B
CN108516678B CN201810246366.5A CN201810246366A CN108516678B CN 108516678 B CN108516678 B CN 108516678B CN 201810246366 A CN201810246366 A CN 201810246366A CN 108516678 B CN108516678 B CN 108516678B
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optical fiber
transfer function
drawing furnace
domain expression
determining
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CN108516678A (en
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于振兴
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Fiberhome Fujikura Optic Technology Co ltd
Fiberhome Telecommunication Technologies Co Ltd
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    • C—CHEMISTRY; METALLURGY
    • C03—GLASS; MINERAL OR SLAG WOOL
    • C03B—MANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B37/00—Manufacture or treatment of flakes, fibres, or filaments from softened glass, minerals, or slags
    • C03B37/01—Manufacture of glass fibres or filaments
    • C03B37/02—Manufacture of glass fibres or filaments by drawing or extruding, e.g. direct drawing of molten glass from nozzles; Cooling fins therefor
    • C03B37/025—Manufacture of glass fibres or filaments by drawing or extruding, e.g. direct drawing of molten glass from nozzles; Cooling fins therefor from reheated softened tubes, rods, fibres or filaments, e.g. drawing fibres from preforms
    • C03B37/029—Furnaces therefor
    • C—CHEMISTRY; METALLURGY
    • C03—GLASS; MINERAL OR SLAG WOOL
    • C03B—MANUFACTURE, SHAPING, OR SUPPLEMENTARY PROCESSES
    • C03B37/00—Manufacture or treatment of flakes, fibres, or filaments from softened glass, minerals, or slags
    • C03B37/01—Manufacture of glass fibres or filaments
    • C03B37/02—Manufacture of glass fibres or filaments by drawing or extruding, e.g. direct drawing of molten glass from nozzles; Cooling fins therefor
    • C03B37/025—Manufacture of glass fibres or filaments by drawing or extruding, e.g. direct drawing of molten glass from nozzles; Cooling fins therefor from reheated softened tubes, rods, fibres or filaments, e.g. drawing fibres from preforms
    • C03B37/0253—Controlling or regulating
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P40/00—Technologies relating to the processing of minerals
    • Y02P40/50—Glass production, e.g. reusing waste heat during processing or shaping
    • Y02P40/57—Improving the yield, e-g- reduction of reject rates

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Abstract

The invention discloses a system design method in an optical fiber drawing tower, which relates to the field of optical fiber drawing tower system control and comprises the following steps: and establishing a differential equation of a designated component in the system according to the working condition of the system in the optical fiber drawing tower to obtain a time domain expression of the system. And performing Laplace transformation on the differential equation to obtain an S-domain expression of the system. And determining a transfer function of the system according to the S-domain expression. And determining a state equation of the system according to the transfer function. And judging the stability of the system by utilizing a Lyapunov second method in combination with the state equation. The system design method in the optical fiber drawing tower is accurate in control and stable in system, and can improve the production efficiency.

Description

System design method in optical fiber drawing tower
Technical Field
The invention relates to the field of control of an optical fiber drawing tower system, in particular to a system design method in an optical fiber drawing tower.
Background
The optical fiber drawing tower is a key device in the preparation process of the optical fiber. The optical fiber drawing tower generally comprises a drawing furnace and an optical fiber screening machine, the optical fiber drawing tower is of a tower-shaped structure, the upper end of the optical fiber drawing tower is provided with the drawing furnace to heat a prefabricated rod, the prefabricated rod is heated to extremely high temperature and then gradually softened and dripped, and the dripped and cooled optical fiber is collected to a take-up reel through a tail-end optical fiber take-up machine via a main traction wheel on a main tractor.
The drawing furnace is an important component of an optical fiber drawing tower. The device consists of a wire drawing furnace electric control cabinet, a pyrometer (temperature sensor) and a copper cable for conducting large current. The optical fiber preform is heated to a molten state by a drawing furnace, and the molten preform gradually drops as the temperature is continuously increased. And cooling the optical fiber under the action of the tension of the take-up system to form the optical fiber. The quality of a control system of the drawing furnace directly influences the quality of the optical fiber, and is an important ring of the whole optical fiber drawing tower. The stability of the drawing furnace system has great influence on the qualified optical fiber. If the temperature of the draw furnace is not controlled to be absolutely stable, the resulting fiber will have unstable parameters, and such defective fiber will have potential problems in use. The traditional wire drawing furnace adopts power control, can only judge the temperature by depending on the experience of an operator, and cannot accurately control the temperature. If the system is not stable, the temperature of the drawing furnace will oscillate and diverge, resulting in failure to produce a qualified optical fiber.
The optical fiber screening machine is a key device in the optical fiber preparation process. The optical fiber screening machine screens the optical fiber drawn out from the drawing tower from the large disc into a small disc, and screens the part of the optical fiber which does not meet the tension requirement by setting a proper tension value in the process of screening the ground. The tension of the optical fiber entering the cabling link is ensured to meet the process requirements. The winding displacement system of the screening machine is a very important link in the optical fiber screening machine and is positioned at the tail end of the whole system. The winding displacement system of the screening machine aims to orderly collect optical fibers transmitted from a winding traction wheel on a winding disc. The device comprises a take-up reel, a rotating motor, a translation motor, a lead screw and other mechanical connecting pieces. The translation motor converts rotation into translation through a rotary lead screw. The rotating motor and the translation motor work in a coordinated mode, so that each time the take-up reel rotates for one circle, the translation motor drives the take-up reel to move by just one optical fiber diameter, and the optical fibers can be tightly arranged on the take-up reel. After the wire is arranged at the end point of the take-up reel, the program reverses the speed of the translation motor and continues to start the wire arrangement of the next cycle. If the cable arrangement system can not work normally, the faults of fiber breakage and the like in the later cable formation process can be caused.
The wire arranging system of the optical fiber wire rewinding machine is an important link in the optical fiber wire rewinding machine and is positioned at the tail end of the whole system. The wire arranging system of the optical fiber wire rewinding machine aims to orderly rewind the optical fibers transmitted from the main traction wheel on a wire rewinding barrel. The wire winding machine comprises a wire winding drum, a rotating motor, a translation motor, a lead screw and other mechanical connecting pieces. The translation motor converts rotation into translation through a rotary lead screw. The rotating motor and the translation motor work in a coordinated mode, so that each time the take-up drum rotates for one circle, the translation motor drives the take-up drum to move by just one optical fiber diameter, and the optical fibers can be tightly arranged on the take-up drum. After the wire is arranged at the end point of the wire-rewinding cylinder, the program reverses the speed of the translation motor and continues to start the wire arrangement of the next period. If the winding displacement system of the optical fiber winding machine can not work normally, faults such as fiber breakage and the like can be caused in the later screening process.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a system design method in an optical fiber drawing tower, which has the advantages of accurate control, stable system and capability of improving the production efficiency.
In order to achieve the above purposes, the technical scheme adopted by the invention is as follows:
a method of system design in an optical fiber draw tower, the method comprising the steps of:
establishing a differential equation of a designated component in the system according to the working condition of the system in the optical fiber drawing tower to obtain a time domain expression of the system;
performing Laplace transformation on the differential equation to obtain an S-domain expression of the system;
determining a transfer function of the system according to the S-domain expression;
determining a state equation of the system according to the transfer function; and
and judging the stability of the system by utilizing a Lyapunov second method in combination with the state equation.
On the basis of the technical scheme, the transfer function comprises a closed-loop transfer function and an open-loop transfer function.
On the basis of the technical scheme, the state equation is in a controllable standard type.
On the basis of the technical scheme, the system is a wire drawing furnace control system, wherein a middle part of the wire drawing furnace control system comprises a wire drawing furnace electric control cabinet and a temperature sensor,
the time domain expression of the wire drawing furnace control system is as follows,
P1(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
T1(t)≈k1P1(t)；
e(t)＝T0(t)–T1(t)；
in the formula, P1(T) is the output power of the electric control cabinet of the drawing furnace, T1(T) is the detection temperature, T0(t) is a set temperature, e (t) is a deviation signal, k1Is power temperatureCoefficient of degree scale, kdIs a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k1、kd、kpAnd kiAre all larger than 0;
the S domain expression of the drawing furnace control system is as follows,
P1(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
T1(s)≈k1P1(s)＝H(s)P1(s)；
E(s)＝T0(s)–T1(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k1；
Determining a closed loop transfer function of the drawing furnace control system as,
Φ(s)＝P1(s)/T0(s)＝(kds2+kps+ki)/(k1kds2+(1+k1kp)s+k1ki)；
determining an open loop transfer function of the draw furnace control system as,
G(s)H(s)＝k1(kp+ki/s+kds)；
determining the state equation of the control system of the wire drawing furnace as follows,
Figure GDA0002695093220000041
Figure GDA0002695093220000042
according to the lyapunov second method: a. theTThe criterion matrix P can be determined, where P + PA is equal to-I
Figure GDA0002695093220000043
Figure GDA0002695093220000044
And judging the stability of the drawing furnace control system by judging whether the P is a positive definite matrix.
On the basis of the technical scheme, the system is a wire arranging system, a designated part in the wire arranging system comprises a wire take-up device, a rotating motor and a translation motor,
the time domain expression of the flat cable system is,
V2(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
V3(t)＝k2V2(t)；
e(t)＝V1(t)–V3(t)；
in the formula, V1(t) is the speed of the rotating machine, V2(t) speed of the translation motor, V3(t) is V2(t) velocity after geometric conversion, e (t) is a deviation signal, k2As a conversion factor, kdIs a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k2、kd、kpAnd kiAre all larger than 0;
the S-domain expression of the winding displacement system is,
V2(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
V3(s)＝k2V2(s)＝H(s)V2(s)；
E(s)＝V1(s)–V3(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k2；
The closed loop transfer function of the traverse system is determined as,
Φ(s)＝V2(s)/V1(s)＝(kds2+kps+ki)/(k2kds2+(1+k2kp)s+k2ki)；
the open loop transfer function of the traverse system is determined as,
G(s)H(s)＝k2(kp+ki/s+kds)；
determining the state equation of the flat cable system as,
Figure GDA0002695093220000051
Figure GDA0002695093220000052
according to the lyapunov second method: a. theTThe criterion matrix P can be determined, where P + PA is equal to-I
Figure GDA0002695093220000053
Figure GDA0002695093220000061
And judging the stability of the flat cable system by judging whether P is a positive definite matrix.
On the basis of the technical scheme, the wire arranging system is a wire arranging system of the optical fiber screening machine, and the wire take-up device is a take-up reel.
On the basis of the technical scheme, the wire arranging system is a wire arranging system of the optical fiber wire rewinding machine, and the wire rewinding device is a wire rewinding cylinder.
On the basis of the technical scheme, the system in the optical fiber drawing tower is controlled by a PLC controller.
On the basis of the technical scheme, the translation motor comprises a lead screw.
In the above-mentioned technologyOn the basis of the scheme, k2B is the screw pitch of the lead screw, and d is the diameter of the optical fiber.
Compared with the prior art, the invention has the advantages that:
according to the system design method in the optical fiber drawing tower, open-loop control is changed into closed-loop control through the column writing time domain and frequency domain expressions and the theoretical derivation of the Lyapunov second method, so that the stability of a drawing furnace control system is ensured. The traditional wire drawing furnace adopts power control, can only judge the temperature by depending on the experience of an operator, and cannot accurately control the temperature. If the system is not stable, the temperature of the drawing furnace will oscillate and diverge, resulting in failure to produce a qualified optical fiber. The system design method in the optical fiber drawing tower changes open-loop control into closed-loop control through theoretical derivation, can greatly improve the control effect, and improves the production efficiency. The method plays a vital role in improving the production efficiency and making qualified optical fibers.
Drawings
FIG. 1 is a schematic structural view of a drawing furnace control system in embodiment 1 of the present invention;
FIG. 2 is a control block diagram of a drawing furnace control system according to embodiment 1 of the present invention;
FIG. 3 is a schematic structural diagram of a cable arrangement system of an optical fiber screening machine in embodiment 3 of the present invention;
FIG. 4 is a control block diagram of a cable arrangement system of an optical fiber screening machine according to embodiment 3 of the present invention;
FIG. 5 is a schematic structural diagram of a cable arrangement system of an optical fiber screening machine in embodiment 4 of the present invention;
fig. 6 is a control block diagram of the cable arrangement system of the optical fiber screening machine in embodiment 4 of the present invention.
In the figure: 1-optical fiber preform, 2-wire drawing furnace, 3-wire drawing furnace electric control cabinet, 4-take-up reel, 5-take-up drum, 6-lead screw, 7-optical fiber and 8-main traction wheel.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples.
The invention provides a system design method in an optical fiber drawing tower, which comprises the following steps:
s1, establishing a differential equation of a designated component in a system according to the working condition of the system in the optical fiber drawing tower to obtain a time domain expression of the system;
and after the time domain expression is obtained, time domain analysis can be carried out, wherein the time domain analysis means that the stability, the transient state and the steady-state performance of the system are analyzed according to the time domain expression of the output quantity under a certain input condition by the control system. Since time domain analysis is a method of analyzing a system directly in the time domain, time domain analysis has the advantage of being intuitive and accurate. The time domain representation of the system output can be derived from differential equations or from transfer functions.
S2, performing Laplace transformation on the differential equation to obtain an S domain expression of the system;
the Laplace transform is a functional transform between a real variable function and a complex variable function established for simplifying the calculation. The Laplace transform is particularly effective for solving linear differential equations, and can process the differential equations into algebraic equations which are easy to solve, so that the calculation is simplified.
S3, determining a transfer function of the system according to the S domain expression;
specifically, the transfer function includes a closed-loop transfer function and an open-loop transfer function. The relationship between the input and the output of an object having linear characteristics is expressed by a function (the ratio of the laplace transform of the output waveform to the laplace transform of the input waveform), which is referred to as a transfer function.
The transfer function of the system corresponds to a differential equation describing its law of motion. The transfer function of the whole system can be derived according to the transfer functions of the units forming the system and the connection relation between the units, and the transfer function can be used for analyzing the dynamic characteristic and the stability of the system or comprehensively controlling the system according to given requirements to design a proper controller.
S4, determining a state equation of the system according to the transfer function;
specifically, the state equation is a controllable standard type. The controllable standard type can also be controlled as well, and the controllable standard type refers to: a state variable of a system is a property that can be controlled by an external input action. If in a limited time interval, the input action with unlimited amplitude can be used to return an initial state deviating from the equilibrium state of the system to the equilibrium state.
And S5, judging the stability of the system by utilizing a Lyapunov second method in combination with a state equation.
The lyapunov second method, also called direct method, is a stability analysis from an energy point of view, and its basic idea is based on the physical fact that: from classical mechanics theory, for a vibrating system, the vibrating system is stable if the total energy of the system continuously decreases with time until an equilibrium state. In the actual design link, those stable systems are reserved after the judgment is carried out by the Lyapunov second method.
In addition, the system in the fiber drawing tower is controlled by a PLC controller. Since the PLC is a digital controller, the method described above is an analog design. Therefore, the analog design method of the digital controller can be adopted, and the programming can be realized in the ladder diagram of the PLC by selecting a proper sampling period.
The following is a further description with reference to specific examples.
Example 1
Referring to fig. 1, the system is a drawing furnace control system, and the middle part of the drawing furnace control system comprises a drawing furnace electric control cabinet 3 and a temperature sensor.
The time domain expression of the wire drawing furnace control system is as follows,
P1(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
T1(t)≈k1P1(t)；
e(t)＝T0(t)–T1(t)；
in the formula, P1(T) is the output power of the electric control cabinet 3 of the drawing furnace, T1(T) is the detection temperature, T0(t) is a set temperature, e (t) is a deviation signal, k1Is the power temperature proportionality coefficient, kdIs a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k1、kd、kpAnd kiAre all larger than 0;
the S domain expression of the drawing furnace control system is as follows,
P1(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
T1(s)≈k1P1(s)＝H(s)P1(s)；
E(s)＝T0(s)–T1(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k1；
Referring to fig. 2, a control block diagram of the drawing furnace control system can be obtained.
Determining a closed loop transfer function of the drawing furnace control system as,
Φ(s)＝P1(s)/T0(s)＝(kds2+kps+ki)/(k1kds2+(1+k1kp)s+k1ki)；
determining an open loop transfer function of the draw furnace control system as,
G(s)H(s)＝k1(kp+ki/s+kds)；
determining the state equation of the control system of the wire drawing furnace as follows,
Figure GDA0002695093220000091
Figure GDA0002695093220000092
according to the lyapunov second method: a. theTThe criterion matrix P can be determined, where P + PA is equal to-I
Figure GDA0002695093220000101
Figure GDA0002695093220000102
And judging the stability of the drawing furnace control system by judging whether the P is a positive definite matrix.
In the embodiment, the open-loop control is changed into the closed-loop control through column writing of a time domain expression and a frequency domain expression and theoretical derivation of the Lyapunov second method, so that the stability of a control system of the wire drawing furnace is ensured. The method plays a vital role in improving the production efficiency and making qualified optical fibers.
Example 2
The system is a wire arranging system, a designated part in the wire arranging system comprises a wire take-up device, a rotating motor and a translation motor,
the time domain expression of the flat cable system is,
V2(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
V3(t)＝k2V2(t)；
e(t)＝V1(t)–V3(t)；
in the formula, V1(t) is the speed of the rotating machine, V2(t) speed of the translation motor, V3(t) is V2(t) velocity after geometric conversion, e (t) is a deviation signal, k2As a conversion factor, kdIs a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k2、kd、kpAnd kiAre all larger than 0;
the S-domain expression of the winding displacement system is,
V2(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
V3(s)＝k2V2(s)＝H(s)V2(s)；
E(s)＝V1(s)–V3(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k2；
The closed loop transfer function of the traverse system is determined as,
Φ(s)＝V2(s)/V1(s)＝(kds2+kps+ki)/(k2kds2+(1+k2kp)s+k2ki)；
the open loop transfer function of the traverse system is determined as,
G(s)H(s)＝k2(kp+ki/s+kds)；
determining the state equation of the flat cable system as,
Figure GDA0002695093220000111
Figure GDA0002695093220000112
according to the lyapunov second method: a. theTP + PA ═ I, the criterion matrix P can be found,
wherein
Figure GDA0002695093220000113
Figure GDA0002695093220000114
And judging the stability of the flat cable system by judging whether P is a positive definite matrix.
In the embodiment, open-loop control is changed into closed-loop control through column-writing time domain and frequency domain equations and theoretical derivation of the Lyapunov second method, so that the stability of the flat cable system is ensured. The method plays a vital role in improving the production efficiency and making qualified optical fibers.
Example 3
As a better alternative, the difference between this embodiment and embodiment 2 is: the winding displacement system is a winding displacement system of the optical fiber screening machine, and the take-up device is a take-up reel 4. Referring to fig. 3, a control block diagram of the optical fiber sorting machine cable arrangement system can be obtained by using the method of embodiment 2 and referring to fig. 4. The traditional optical fiber screening machine wire arranging system adopts a mathematical calculation mode to calculate the rotating speed relation of a rotating motor and a translation motor, belongs to open-loop control, and can generate the wire arranging problem (the wire arranging is too compact or sparse) after error accumulation for a certain time. In the embodiment, open-loop control is changed into closed-loop control through column-writing time domain and frequency domain equations and theoretical derivation of the Lyapunov second method, so that the stability of the cable arrangement system of the optical fiber screening machine is ensured.
Example 4
As a better alternative, the difference between this embodiment and embodiment 2 is: the winding displacement system is a winding displacement system of the optical fiber winding machine, and the winding device is a winding drum 5. The optical fiber take-up machine wire arranging system is shown in fig. 5. By using the method in embodiment 2, referring to fig. 6, a control block diagram of the winding displacement system of the optical fiber winding machine can be obtained. The traditional wire arranging system of the optical fiber wire rewinding machine adopts a mathematical calculation mode to calculate the rotating speed relation of a rotating motor and a translation motor, belongs to open-loop control, and can generate a wire arranging problem (the wire arranging is too compact or sparse) after error accumulation for a certain time. In the embodiment, open-loop control is changed into closed-loop control through column-writing time domain and frequency domain equations and theoretical derivation of the Lyapunov second method, so that the stability of the cable arrangement system of the optical fiber screening machine is ensured.
Example 5
As a better alternative, the difference between this embodiment and embodiment 2 is: the translation motor comprises a lead screw 6.
Example 6
As a better alternative, the difference between this embodiment and embodiment 2 is: k is a radical of2B is the screw pitch of the screwAnd d is the fiber diameter.
The present invention is not limited to the above-described embodiments, and it will be apparent to those skilled in the art that various modifications and improvements can be made without departing from the principle of the present invention, and such modifications and improvements are also considered to be within the scope of the present invention. Those not described in detail in this specification are within the skill of the art.

Claims (7)

1. A method of designing a system in an optical fiber draw tower, the method comprising the steps of:
establishing a differential equation of a designated component in the system according to the working condition of the system in the optical fiber drawing tower to obtain a time domain expression of the system;
performing Laplace transformation on the differential equation to obtain an S-domain expression of the system;
determining a transfer function of the system according to the S-domain expression;
determining an equation of state of the system from the transfer function, an
Judging the stability of the system by utilizing a Lyapunov second method in combination with the state equation;
the transfer function comprises a closed loop transfer function and an open loop transfer function;
the system is a wire drawing furnace control system, wherein a middle part of the wire drawing furnace control system comprises a wire drawing furnace electric control cabinet and a temperature sensor,
the time domain expression of the wire drawing furnace control system is as follows,
P1(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
T1(t)≈k1P1(t)；
e(t)＝T0(t)–T1(t)；
in the formula, P1(T) is the output power of the electric control cabinet of the drawing furnace, T1(T) is the detection temperature, T0(t) is a set temperature, e (t) is a deviation signal, k1In order to obtain the power-temperature proportionality coefficient,kdis a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k1、kd、kpAnd kiAre all larger than 0;
the S domain expression of the drawing furnace control system is as follows,
P1(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
T1(s)≈k1P1(s)＝H(s)P1(s)；
E(s)＝T0(s)–T1(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k1；
Determining a closed loop transfer function of the drawing furnace control system as,
Φ(s)＝P1(s)/T0(s)＝(kds2+kps+ki)/(k1kds2+(1+k1kp)s+k1ki)；
determining an open loop transfer function of the draw furnace control system as,
G(s)H(s)＝k1(kp+ki/s+kds)；
determining the state equation of the control system of the wire drawing furnace as follows,
Figure FDA0002851248280000021
Figure FDA0002851248280000022
according to the lyapunov second method: a. theTThe criterion matrix P can be determined, where P + PA is equal to-I
Figure FDA0002851248280000023
Figure FDA0002851248280000024
Judging the stability of the drawing furnace control system by judging whether P is a positive definite matrix;
or the system is a wire arranging system, wherein the specified part in the wire arranging system comprises a rotating motor and a translation motor,
the time domain expression of the flat cable system is,
V2(t)＝kpe(t)+ki∫e(t)dt+kd[de(t)/dt]；
V3(t)＝k2V2(t)；
e(t)＝V1(t)–V3(t)；
in the formula, V1(t) is the speed of the rotating machine, V2(t) speed of the translation motor, V3(t) is V2(t) velocity after geometric conversion, e (t) is a deviation signal, k2As a conversion factor, kdIs a differential coefficient, kpIs a proportionality coefficient, kiIs an integral coefficient, and k2、kd、kpAnd kiAre all larger than 0;
the S-domain expression of the winding displacement system is,
V2(s)＝(kp+ki/s+kds)E(s)＝G(s)E(s)；
V3(s)＝k2V2(s)＝H(s)V2(s)；
E(s)＝V1(s)–V3(s)；
where s is the differential operator after Ralsh transform, G(s) is the transfer function of the forward channel, and G(s) kp+ki/s+kds, H(s) is the transfer function of the feedback channel, H(s) k2；
The closed loop transfer function of the traverse system is determined as,
Φ(s)＝V2(s)/V1(s)＝(kds2+kps+ki)/(k2kds2+(1+k2kp)s+k2ki)；
the open loop transfer function of the traverse system is determined as,
G(s)H(s)＝k2(kp+ki/s+kds)；
determining the state equation of the flat cable system as,
Figure FDA0002851248280000031
Figure FDA0002851248280000032
according to the lyapunov second method: a. theTThe criterion matrix P can be determined, where P + PA is equal to-I
Figure FDA0002851248280000033
Figure FDA0002851248280000041
And judging the stability of the flat cable system by judging whether P is a positive definite matrix.
2. The method of designing a system in an optical fiber drawing tower according to claim 1, wherein: the state equation is in a controllable standard type.
3. The method of designing a system in an optical fiber drawing tower according to claim 1, wherein: the winding displacement system is an optical fiber screening machine winding displacement system, and the take-up device is a take-up reel.
4. The method of designing a system in an optical fiber drawing tower according to claim 1, wherein: the winding displacement system is an optical fiber winding machine winding displacement system, and the winding device is a winding drum.
5. The method of designing a system in an optical fiber drawing tower according to claim 1, wherein: and the system in the optical fiber drawing tower is controlled by a PLC controller.
6. The method of designing a system in an optical fiber drawing tower according to claim 1, wherein: the translation motor includes a lead screw.
7. The method of designing a system in an optical fiber drawing tower according to claim 6, wherein: k is2B is the screw pitch of the lead screw, and d is the diameter of the optical fiber.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2001106544A (en) * 1992-05-01 2001-04-17 Corning Inc Device and method for drawing optical waveguide fiber
CN102354107A (en) * 2011-05-30 2012-02-15 河海大学常州校区 On-line identification and control method for parameter of alternating current position servo system model
CN102864537A (en) * 2012-01-05 2013-01-09 杭州电子科技大学 Realization method of programmable controller integrating yarn cleaning and yarn breaking detection
CN107216030A (en) * 2017-06-17 2017-09-29 南京理工大学 A kind of system for drawing and its drawing process for MCP fiber-pulling machines

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2001106544A (en) * 1992-05-01 2001-04-17 Corning Inc Device and method for drawing optical waveguide fiber
CN102354107A (en) * 2011-05-30 2012-02-15 河海大学常州校区 On-line identification and control method for parameter of alternating current position servo system model
CN102864537A (en) * 2012-01-05 2013-01-09 杭州电子科技大学 Realization method of programmable controller integrating yarn cleaning and yarn breaking detection
CN107216030A (en) * 2017-06-17 2017-09-29 南京理工大学 A kind of system for drawing and its drawing process for MCP fiber-pulling machines

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