CN113970940A - Method for controlling internal temperature field of material - Google Patents

Method for controlling internal temperature field of material Download PDF

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Publication number
CN113970940A
CN113970940A CN202111220688.0A CN202111220688A CN113970940A CN 113970940 A CN113970940 A CN 113970940A CN 202111220688 A CN202111220688 A CN 202111220688A CN 113970940 A CN113970940 A CN 113970940A
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heat
power
temperature field
field
target
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CN113970940B (en
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李迎光
刘舒霆
刘强强
郝小忠
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D23/00Control of temperature
    • G05D23/19Control of temperature characterised by the use of electric means
    • G05D23/20Control of temperature characterised by the use of electric means with sensing elements having variation of electric or magnetic properties with change of temperature
    • HELECTRICITY
    • H05ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
    • H05BELECTRIC HEATING; ELECTRIC LIGHT SOURCES NOT OTHERWISE PROVIDED FOR; CIRCUIT ARRANGEMENTS FOR ELECTRIC LIGHT SOURCES, IN GENERAL
    • H05B1/00Details of electric heating devices
    • H05B1/02Automatic switching arrangements specially adapted to apparatus ; Control of heating devices

Abstract

A method for controlling the internal temp field of material features that multiple heat beams are generated in the material by inputting energy, the target temp field is calculated by thermal pattern, and the powers of said heat beams are regulated and controlled according to the calculated result, so they are alternatively combined and overlapped in the material to generate the target temp field. The method for controlling the internal temperature field of the material can realize high-resolution accurate control of the distribution of the internal temperature field of the material.

Description

Method for controlling internal temperature field of material
Technical Field
The invention relates to a method for controlling a temperature field in a material, in particular to a method for controlling a temperature field by a plurality of heat beams, and specifically relates to a method for controlling a temperature field in a material.
Background
Controlling the heat distribution within the material to form a target temperature field is a long sought goal in the art, with significant application requirements in the fields of thermal coded communication, thermal therapy, thermally driven deformation, thermal reactors, thermal imaging, zoned thermal management, and the like. On one hand, the existing heat control methods are difficult to avoid introducing a large number of heating elements, pipelines or cables into materials, for example, in patent US20150336295a1, an electric heating wire and a flow channel are introduced into a mold material to form a plurality of independent temperature control areas, in patent CN105474382A, a plurality of array-type pixel resistance heaters are introduced into a substrate, in patent CN210111003U, a power-partitioned heating film structure is disclosed, the interior of the power-partitioned heating film structure is formed by arranging heating wires in a snake shape, and in patent CN112047297A, the methods introduce a large number of cables and elements into the materials, are not favorable for material performance, and are difficult to be applied to the fields of airplane deicing, heat drive deformation and the like which have requirements on light weight and high strength of the materials. On the other hand, when the existing method requires n × n thermal pixel units, n × n independent temperature control channels are usually required, which makes the temperature control complex and makes it difficult to achieve precise thermal control with high resolution in a small number of control channels.
Disclosure of Invention
The invention aims to provide a novel method for controlling the internal temperature field of a material, aiming at the problems that the existing heat control method is difficult to avoid introducing a large number of heating elements into the material and realize high-resolution precise control. Inputting energy to form a plurality of heat beams in the material, carrying out thermal patterning calculation on the target temperature field, and regulating and controlling the power of each heat beam according to the calculation result, so that the heat beams are mutually staggered, combined and superposed in the material to form the target temperature field. The method firstly proposes that the tomography principle is utilized to the field of thermal control, any heating element or cable is not required to be introduced into the material, more densely distributed thermal pixel units can be realized under the same quantity of control channels, and high-resolution accurate thermal control in a three-dimensional space is realized.
The technical scheme of the invention is as follows:
a method for controlling the internal temperature field of a material is characterized in that energy is input to form a plurality of heat beams in the material, and the power of each heat beam is calculated and regulated according to a target temperature field, so that the heat beams are mutually staggered, combined and superposed in the material to form the target temperature field. And aiming at the target temperature field, calculating the power value required by each heat beam according to a heat pattern calculation method, regulating and controlling the power of each beam according to the calculation result, so that the beam-shaped heat sources are mutually staggered in the material and combined and superposed according to the calculation result to form the target temperature field consisting of dense hot spots. The use of external energy to form an interdigitated beam heat source within the material eliminates the need to introduce any heating elements, piping and cables into the material, and provides a higher thermal control resolution than conventional methods for the same number of control units.
The input energy source can be an external heat source distributed at the edge of the material, enters the material through heat conduction, and forms a heat beam after being conducted along a special heat conduction structure; other forms of energy are also possible, such as electrical energy, electromagnetic energy, optical energy, chemical energy, etc., and in a special loss structure, such as an anisotropic conductive material, energy is concentrated in a certain direction and then lost to form a heat beam.
The heat beams are distributed in at least 2 directions in a two-dimensional plane, intersection points exist between any two heat beams in different directions, the number of the heat beams in the same direction is not less than 2, more than 1 layer of the two-dimensional plane can be distributed in parallel in the thickness direction of the material to form a three-dimensional temperature field, the number of the heat beams in each direction is preferably 18-32, and the number of the heat beams in each direction is preferably 32-400 in consideration of the correlation relationship of the increase of the number of the heat beams to the increase of the control precision of the temperature field, specific parameter selection is selected according to the control precision of the target temperature field.
The thermal patterning calculation method comprises the steps of firstly calculating a power distribution diagram under a target temperature field through a thermodynamic law, carrying out projection calculation on the power distribution diagram through Radon transformation to obtain a projection value, carrying out Fourier transformation on the projection value to convert the projection value into a frequency domain, carrying out filtering processing through a filter, carrying out Fourier inverse transformation on filtered data to return to a time domain, carrying out inverse thermal diffusion optimization on the filtered projection value, and finally outputting the optimal power value of each heat beam.
The regulation and control method comprises the steps of firstly, taking the power of each heat beam obtained through calculation as an initial value, collecting real-time temperature field data through temperature sensing or thermal imaging equipment in the temperature field control process, and regulating the power value of each heat beam obtained through calculation in real time through the collected temperature field data.
The specific heat conducting structure may be a thermally anisotropic structure, and the specific loss structure may be an electrically, magnetically, electromagnetically anisotropic structure or a non-homogeneous structure, such as a carbon fiber composite laminate having significant thermal and electromagnetic anisotropy.
The inverse thermal diffusion calculation method comprises the steps of firstly, carrying out Lato inverse transformation on a filtered power projection value to obtain a reconstructed power field, using the reconstructed power field as a heating source to calculate in an analytic or numerical three-dimensional heat transfer model to obtain a diffused temperature field, comparing the diffused temperature field with a target temperature field to obtain a temperature difference, converting the temperature difference into a power value to correct the original power field and obtain a new power field, then carrying out projection and filtering operation on the power field again to obtain a new power projection value, and finishing iterative optimization to output the latest power projection value when the temperature difference obtained by comparison meets an optimization target.
The correction process can be carried out in a temperature image domain or a power projection domain, when the correction process is carried out in the power projection domain, the temperature difference is converted into the power difference, the power difference is subjected to projection and filtering operation to obtain a projection value of the power difference, the original filtered power projection value is corrected by the projection value of the power difference to directly obtain a new power projection value, and when the temperature difference obtained by comparison meets an optimization target, iterative optimization is ended to output the latest power projection value.
The invention has the following effective effects:
the obvious advantages of the invention for controlling the internal temperature field of the material are as follows: the use of external energy to form an interdigitated beam heat source within the material eliminates the need to introduce any heating elements, piping and cables into the material, and provides a higher thermal control resolution than conventional methods for the same number of control units.
The method for controlling the internal temperature field of a material, named Computerized Thermal Patterning (CTP), of the present invention, for the first time exploits the principle of tomography to the field of Thermal control, without introducing any heating elements or cables into the material. However, the conventional tomography principle based on light beams or rays only considers the problem of attenuation of the light beams in the propagation direction (patent CN108604047A), but the beam-shaped heat source also has a transverse thermal diffusion effect. The method is mainly characterized in that a plurality of heat beams are formed in the material by inputting energy, a target temperature field is subjected to heat pattern calculation, and the power of each heat beam is regulated and controlled according to the calculation result, so that the heat beams are mutually staggered, combined and superposed in the material to form the target temperature field. According to the invention, hot spots formed by staggered beam-shaped heat sources are used as heat pixel points, more densely distributed heat pixels can be realized under the same quantity of control channels, and high-resolution accurate heat control in a three-dimensional space is realized.
Drawings
FIG. 1 is a schematic diagram of the basic principle of the present invention for controlling the internal temperature field of a material.
Fig. 2 is a flow chart of a thermal patterning computation method.
Detailed description of the preferred embodiments
The invention is further illustrated with reference to the following figures and examples. It should be noted that the following examples are only intended to illustrate certain specific embodiments of the present invention and are not intended to limit the scope of the present invention. In addition, after the present invention is disclosed, any modification and variation made by those skilled in the art based on the principle of the present invention for controlling the temperature field inside the material falls within the scope defined by the appended claims.
As shown in fig. 1-2.
This example is a target temperature field in a two-dimensional "CTP" letter combination pattern formed by a computational thermal patterning method in an electrically anisotropic carbon fiber composite material, as shown in fig. 1. The control process of the thermal pattern is monitored by matching with a thermal infrared imager. The material realizes independent control of 576 bundle-shaped heat sources in 18 directions, 10 degrees of adjacent interval in each direction and 32 bundles in each direction in a self-resistance heating control mode, and each heat beam is heated under given calculation power and is crossed and superposed to form a required target temperature field. The size of each layer of carbon fiber epoxy material is 340mm multiplied by 290mm multiplied by 0.1mm, one side of the narrow edge of each layer of carbon fiber epoxy material is provided with 32 thin copper sheets with the interval of 2mm and the width of 7mm as negative electrode access points, the other side of each layer of carbon fiber epoxy material is provided with a strip-shaped thin copper sheet with the same width as the material as a positive electrode access point, and each heating strip bundle is accessed into a control circuit with independent adjustable voltage through copper electrodes on the two sides. The calculated power is the power of each heat beam obtained by carrying out heat pattern calculation on the CTP pattern by a heat pattern calculation program, and the power is converted and burnt into a microprocessor, and then the voltage between electrodes at two sides of each heat source is adjusted to realize control. The specific steps of this example are as follows (see fig. 2):
step 1: and (3) power calculation: the method comprises the steps of manufacturing a 'CTP' gray image in a computer as a target for temperature field control, firstly calculating a power distribution diagram under a 'CTP' letter target temperature field through a thermodynamic law, carrying out projection calculation on the power distribution diagram through Radon transformation to obtain a projection value, carrying out Fourier transformation on the projection value to convert the projection value into a frequency domain, carrying out filtering processing through a filter, carrying out Fourier inverse transformation on the filtered data, returning the filtered data to a time domain, and thus obtaining an initial power projection value. And then carrying out inverse thermal diffusion optimization on the power projection value, firstly carrying out Ladong inverse transformation on the filtered power projection value to obtain a reconstructed power field, taking the reconstructed power field as a heating source to calculate in an analytic or numerical three-dimensional heat transfer model to obtain a diffused temperature field, comparing the diffused temperature field with a target temperature field of a 'CTP' letter to obtain a temperature difference, converting the temperature difference into a power value to correct the original power field and obtain a new power field, then carrying out projection and filtering operation on the power field again to obtain a new power projection value, carrying out 10-time iterative comparison to obtain a temperature difference which accords with an optimization target, and finishing iterative optimization to output a new power projection value after 10 th iteration. The heating power for each beam in the case of 32 x 18 heat beams was calculated from this image in a program that calculates the thermal patterning. The adopted heating material is a unidirectional carbon fiber epoxy resin-based material, and the control voltage required by each bundle is calculated according to the resistance characteristic of the unidirectional carbon fiber epoxy resin-based material.
Step 2: preparing materials: taking out the carbon fiber epoxy prepreg, cutting 18 pieces of prepreg sheets with the size of 290mm multiplied by 340mm, and cutting 18 pieces of glass fiber prepreg sheets with proper size according to the size of the carbon fiber, wherein the two layers of carbon fiber prepreg and the copper sheets at two sides of the carbon fiber prepreg are required to be overlapped at an included angle of 10 degrees between the central lines and then cannot be in direct contact. And cutting auxiliary materials such as demolding cloth, an isolating film, an air-permeable felt, a vacuum bag and the like according to the size of the prepreg. Cutting the comb-shaped copper sheets according to the distance of 2mm and the width of 7mm, and cutting the strip-shaped copper sheets according to the size of the narrow edge of the carbon fiber.
And step 3: material laying: a piece of glass fiber prepreg is taken and placed on an operation table, then the center of the piece of carbon fiber prepreg is taken and placed on the glass fiber prepreg, copper sheets and strip-shaped copper sheets are respectively placed on two sides of the prepreg at equal intervals, the copper sheets are overlapped with the prepreg for 15mm and fixed, the copper sheets are not convenient to be connected with a power supply in a follow-up mode, and the copper sheets are welded with leads in advance and led out. And taking a glass fiber prepreg, taking the previous layer of glass fiber as a reference, anticlockwise rotating the previous layer of glass fiber in the direction of 10 degrees, placing the glass fiber prepreg at the upper side of the previous layer of glass fiber, compacting and extruding bubbles by using a press roller tool, and repeating the subsequent steps until 18 layers of carbon fiber materials are completely laid.
And 4, step 4: curing the composite material: taking out the flat metal mold, cleaning the surface with alcohol, sticking demolding cloth, laying the prepreg layer on the mold, laying demolding cloth, isolating film and air felt in sequence, installing temperature measuring thermocouple and vacuum base, and packaging with vacuum bag. The material is placed in an oven, and PID control solidification is carried out according to a standard process curve. After completion, the carbon fiber composite material is demolded and removed, and the lead is cleaned.
And 5: connecting the materials with a power supply: connecting the lead wires on the copper sheet to a controller with 576 independent voltage adjustments, connecting each heat beam correspondingly to the output end of the controller, inputting the calculated voltage control signal into the microprocessor program control, and connecting the controller with a power supply with the maximum current of 400A and the maximum voltage of 10V.
Step 6: heating and infrared imaging: and erecting an infrared thermal imager above the carbon fiber material, wherein the imaging range of the infrared thermal imager comprises all the materials, correcting the thermal imager, turning on a power supply after the correction, and observing a required target temperature field and a formed thermal pattern in the thermal imager, wherein the similarity between the CTP thermal pattern and a target temperature graph can reach more than 60 percent, and the contrast between a heating area and a non-heating area can reach more than 30 percent. Other calculated voltage control signals are input according to the adjustable pattern reconstruction quality of the thermal imager, and the conversion between different thermal patterns can be realized.
The above examples reconstructed a "CTP" thermal pattern on the carbon fiber composite by computational patterning, and a clear desired target temperature field distribution was observed by thermal infrared imager.
The present invention is not concerned with parts which are the same as or can be implemented using prior art techniques.

Claims (7)

1. A method for controlling the internal temperature field of a material is characterized in that energy is input to form a plurality of heat beams in the material, and the power of each heat beam is calculated and regulated according to a target temperature field, so that the heat beams are mutually staggered, combined and superposed in the material to form the target temperature field.
2. The method of claim 1, wherein the source of the input energy is a material from which external heat is conducted into the special heat conducting structure, or electrical energy, electromagnetic energy, or chemical energy is lost in the special heat dissipating structure to generate heat.
3. The method according to claim 1, wherein the plurality of heat beams are distributed along not less than 2 directions in a two-dimensional plane, and an intersection point exists between any two heat beams in different directions, the number of the heat beams in the same direction is not less than 2, more than 1 layer of the two-dimensional plane is distributed in parallel in the thickness direction of the material, a three-dimensional temperature field is formed, and specific parameter selection is selected according to target temperature field control accuracy, the number of the directions is preferably between 18 and 32, and the number of the heat beams in each direction is preferably between 32 and 400.
4. The method of claim 1, wherein the method for calculating the power of each heat beam comprises transforming a target temperature field into a target power field according to the law of thermodynamics, performing projection operation on the target power field to obtain power projection values of the heat beam in each direction, performing filtering processing on the projection values, performing inverse thermal diffusion optimization on the filtered projection values, and outputting the power value of each heat beam when the optimization target is reached.
5. The method according to claim 1, wherein the controlling method comprises the steps of firstly taking the power of each heat beam obtained by calculation as an initial value, acquiring real-time temperature field data through a temperature sensing or thermal imaging device in the process of controlling the temperature field, and adjusting the power value of each heat beam obtained by calculation in real time by using the acquired temperature field data.
6. The method of claim 2, wherein the specific heat conducting structure is a thermally anisotropic structure and the specific loss structure is an electrically, magnetically, electromagnetically anisotropic structure or a non-homogeneous structure.
7. The method of claim 4, wherein the inverse thermal diffusion optimization method is: and performing Ladon inverse transformation on the filtered power projection value to obtain a reconstructed power field, calculating the reconstructed power field serving as a heat source in an analytic or numerical heat transfer model to obtain a diffused temperature field, comparing the diffused temperature field with a target temperature field to obtain a temperature difference, converting the temperature difference into a power value to correct the original power field and obtain a new power field, then performing projection and filtering operation on the power field again to obtain a new power projection value, finishing iterative optimization and outputting the latest power projection value when the temperature difference obtained by comparison meets an optimization target, and performing the correction process in a temperature image domain or a power projection domain.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116126056A (en) * 2023-04-04 2023-05-16 国网山东省电力公司潍坊供电公司 Method, system, terminal and medium for generating dynamic control strategy of material processing temperature

Citations (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060092522A1 (en) * 2003-04-10 2006-05-04 Lizotte Todd E Beam shaping prior to harmonic generation for increased stability of laser beam shaping post harmonic gereration with integrated automatic displacement and thermal beam drift compensation
JP2009014359A (en) * 2007-06-29 2009-01-22 Niigata Univ Three-dimensional noncontact temperature measuring instrument, and three-dimensional noncontact temperature measuring method
CN106405971A (en) * 2016-10-28 2017-02-15 天津医科大学 One-dimensional temperature field modulation method
CN107179789A (en) * 2017-06-26 2017-09-19 河北百强医用设备制造有限公司 A kind of heating control apparatus and its method for heating and controlling of uniform temperature gradient
CN108890128A (en) * 2018-06-29 2018-11-27 中国航空制造技术研究院 A kind of laser multi-beam combined temp field welder
CN109580698A (en) * 2018-12-27 2019-04-05 北京航天长征飞行器研究所 Target heat radiation analysis method in space-environment simulator
CN112047297A (en) * 2020-09-03 2020-12-08 南昌大学 Micro-area heating array capable of positioning and temperature control and use method for selectively transferring semiconductor micro-nano integrated element
CN112149235A (en) * 2020-10-12 2020-12-29 南京航空航天大学 Micro-scale temperature field information correction-based thermal analysis method for braided structure ceramic matrix composite
US20210054527A1 (en) * 2019-08-21 2021-02-25 Meishan Boya Advanced Materials Co., Ltd. Methods and devices for growing oxide crystals without annealing
CN112784455A (en) * 2021-01-11 2021-05-11 之江实验室 Thermal simulation numerical calculation method and device based on reforming, and electronic equipment
CN112935251A (en) * 2021-01-31 2021-06-11 华中科技大学 Preparation method of amorphous alloy gradient composite material

Patent Citations (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060092522A1 (en) * 2003-04-10 2006-05-04 Lizotte Todd E Beam shaping prior to harmonic generation for increased stability of laser beam shaping post harmonic gereration with integrated automatic displacement and thermal beam drift compensation
JP2009014359A (en) * 2007-06-29 2009-01-22 Niigata Univ Three-dimensional noncontact temperature measuring instrument, and three-dimensional noncontact temperature measuring method
CN106405971A (en) * 2016-10-28 2017-02-15 天津医科大学 One-dimensional temperature field modulation method
CN107179789A (en) * 2017-06-26 2017-09-19 河北百强医用设备制造有限公司 A kind of heating control apparatus and its method for heating and controlling of uniform temperature gradient
CN108890128A (en) * 2018-06-29 2018-11-27 中国航空制造技术研究院 A kind of laser multi-beam combined temp field welder
CN109580698A (en) * 2018-12-27 2019-04-05 北京航天长征飞行器研究所 Target heat radiation analysis method in space-environment simulator
US20210054527A1 (en) * 2019-08-21 2021-02-25 Meishan Boya Advanced Materials Co., Ltd. Methods and devices for growing oxide crystals without annealing
CN112047297A (en) * 2020-09-03 2020-12-08 南昌大学 Micro-area heating array capable of positioning and temperature control and use method for selectively transferring semiconductor micro-nano integrated element
CN112149235A (en) * 2020-10-12 2020-12-29 南京航空航天大学 Micro-scale temperature field information correction-based thermal analysis method for braided structure ceramic matrix composite
CN112784455A (en) * 2021-01-11 2021-05-11 之江实验室 Thermal simulation numerical calculation method and device based on reforming, and electronic equipment
CN112935251A (en) * 2021-01-31 2021-06-11 华中科技大学 Preparation method of amorphous alloy gradient composite material

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN116126056A (en) * 2023-04-04 2023-05-16 国网山东省电力公司潍坊供电公司 Method, system, terminal and medium for generating dynamic control strategy of material processing temperature

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