An Optimization Design Method for Infrared Fiber Optic Sensors

Abstract

This invention discloses an optimized design method for an infrared fiber optic sensor, comprising: establishing a physical model based on the infrared fiber optic sensor; meshing the physical model and defining boundary names and conditions; simulating actual working conditions to solve for the inner shell edge temperature of the infrared fiber optic sensor; establishing and solving a multivariate mathematical model based on the inner shell edge temperature to obtain the optimal cooling channel width and airflow velocity. The method of this invention obtains the optimal cooling channel dimensions through modeling and solving, thereby improving the high-temperature resistance of the infrared fiber optic sensor.

Description

Technical Field

[0001] This invention relates to the field of metrology and testing technology, specifically an optimized design method for infrared fiber optic sensors. Background Technology

[0002] Infrared fiber optic sensors combine infrared spectroscopy technology with fiber optic sensors, finding wide application in industrial process monitoring, environmental monitoring, and medical and life science fields. During chemical reactions, infrared spectroscopy allows for real-time monitoring of reactant changes, preventing potential reaction risks. Because infrared fiber optic sensors need to be directly inserted into the chemical reactants, they must possess high-temperature and corrosion-resistant properties. Traditional infrared fiber optic sensors typically contain silver halide optical fibers and crystals internally, with a polyethylene shell. Polyethylene (PE) generally has a melting point of 110°C and lacks resistance to high temperatures and acids / alkalis. Summary of the Invention

[0003] To address the aforementioned issues, this invention proposes an optimized design method for infrared fiber optic sensors. This method optimizes traditional infrared fiber optic sensors to enable them to withstand high temperatures and acid / alkali resistant properties.

[0004] To achieve the above objectives, the present invention is implemented through the following technical solution:

[0005] The present invention provides an optimized design method for an infrared fiber optic sensor, comprising:

[0006] A physical model was established based on an infrared fiber optic sensor.

[0007] Mesh the physical model and define boundary names and boundary conditions;

[0008] The temperature at the edge of the inner shell of the infrared fiber optic sensor was obtained by simulating actual working conditions.

[0009] A multivariate mathematical model based on the temperature at the inner shell edge was established and solved to obtain the optimal cooling channel width and airflow speed.

[0010] A further improvement of the present invention is that the boundary conditions include the density of the inner shell material, the density of the outer shell material, the specific heat capacity, the thermal conductivity, the thickness, and the temperature under the operating conditions.

[0011] A further improvement of this invention lies in establishing a multivariate mathematical model based on the temperature of the inner shell edge, specifically including:

[0012] Data was collected, including the inner shell edge temperature under different wind speeds with the same cooling channel width, obtained using simulation technology.

[0013] Based on the collected data, a multiple linear model was established with the inner shell edge temperature as the dependent variable and the cooling channel width and air velocity as independent variables. The expression is as follows:

[0014] (1);

[0015] In the formula, The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, For constant terms;

[0016] Based on the collected data, a multivariate nonlinear model was established with the inner shell edge temperature as the dependent variable and the cooling channel width and wind speed as independent variables. The expression is as follows:

[0017] (2);

[0018] In the formula: The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, For constant terms;

[0019] The model is selected based on the collected data, and the model is determined according to the minimum sum of the absolute values ​​of the relative errors.

[0020] (3);

[0021] In the formula: It is the sum of the absolute values ​​of the relative errors. This is the temperature value collected at the edge of the inner shell. The fitted inner shell edge temperature, For the sample size, This is the sample number.

[0022] A further improvement of this invention lies in that: solving the multivariate mathematical model specifically includes:

[0023] The objective function and constraints are defined as follows:

[0024] (4);

[0025] (5);

[0026] In the formula: The objective function is the optimal value of the inner shell edge temperature; , These represent the minimum and maximum values ​​of the cooling channel width. , These represent the maximum and minimum wind speeds;

[0027] Set the initial values ​​for cooling channel width and airflow speed. , Calculate the error between expression (4) and the current solution, and adjust the width of the cooling channel according to the weight based on the magnitude of the error. Wind speed Update value , ,in, As weight, This is the error value. , The update operation is repeated to determine the cooling channel width and airflow speed after one iteration, until the cooling channel width is updated after another iteration. Wind speed Stop when the constraint range is exceeded to obtain the optimal cooling channel width. Wind speed ;

[0028] Optimal cooling channel width Wind speed We then incorporated the results into the physical model to verify their feasibility.

[0029] The optimized design system of the present invention includes:

[0030] The physical model building module is used to build a physical model based on infrared fiber optic sensors, including the outer shell, inner shell, and cooling channels.

[0031] The model configuration module is used to mesh the physical model and define boundary names and boundary conditions.

[0032] The simulation module is used to simulate actual working conditions and solve for the inner shell edge temperature of the infrared fiber optic sensor.

[0033] The mathematical model building module is used to establish a multivariate mathematical model based on the temperature of the inner shell edge, and solve the multivariate mathematical model to obtain the optimal cooling channel width and wind speed.

[0034] The infrared fiber optic sensor of the present invention includes a silver halide fiber and a diamond connected together. The silver halide fiber and the diamond are disposed in an inner shell. An outer shell made of Haas alloy is disposed on the outside of the inner shell. The cavity formed between the outer shell and the inner shell is a cooling channel. An air inlet and an air outlet are disposed on the outer shell.

[0035] The beneficial effects of this invention are as follows: The infrared fiber optic sensor of this invention has a Haas alloy outer shell on the outside of a polyethylene inner shell, which improves the corrosion resistance of the infrared fiber optic sensor. The cavity between the outer shell and the inner shell forms a cooling channel, and the infrared fiber optic sensor can be cooled by introducing gas into the cooling channel. The method of this invention obtains the optimal cooling channel size through modeling and solving, further improving the high-temperature resistance of the infrared fiber optic sensor. Attached Figure Description

[0036] Figure 1 This is a schematic diagram of the design method flow in an embodiment of the present invention;

[0037] Figure 2 This is a schematic diagram of the structure of the infrared fiber optic sensor in an embodiment of the present invention;

[0038] Figure 3 This is a temperature cloud map of a cooling channel with a width of 5mm under different wind speeds in an embodiment of the present invention;

[0039] Figure 4 This is a temperature cloud map of a cooling channel with a width of 10mm under different wind speeds in an embodiment of the present invention;

[0040] Figure 5 This is a schematic diagram of the multivariate linear fitting results in an embodiment of the present invention;

[0041] Figure 6 This is a schematic diagram of the multivariate nonlinear fitting results in an embodiment of the present invention;

[0042] Figure 7 This is an optimized temperature cloud map of the internal temperature of the fiber optic sensor in an embodiment of the present invention.

[0043] Among them, 1-silver halide optical fiber, 2-diamond, 3-inner shell, 4-cooling channel, 5-outer shell, 6-air inlet, 7-air outlet. Detailed Implementation

[0044] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.

[0045] like Figure 2As shown, the infrared fiber optic sensor of this embodiment includes two silver halide optical fibers 1 and a diamond 2 for reflection. The silver halide optical fibers 1 and the diamond 2 are disposed in the inner shell. A shell 5 made of Haas alloy is disposed on the outside of the inner shell 3. The shell 5 and the inner shell 3 are integrally formed. The diamond 2 is pressed and fixed to one end of the shell 5. The cavity formed between the shell 5 and the inner shell 3 is a cooling channel 4. An air inlet 6 and an air outlet 7 communicating with the cooling channel 4 are disposed on the shell 5.

[0046] like Figure 1 As shown, an infrared fiber optic sensor optimization design method according to this embodiment includes:

[0047] Step 1: Establish a physical model based on the infrared fiber optic sensor, including the inner shell dimensions, cooling channel dimensions, and outer shell dimensions.

[0048] Step 2: Mesh the physical model and define the boundary names and boundary conditions. The boundary conditions include the density, specific heat capacity, thermal conductivity, thickness, and temperature of the inner and outer shell materials under the given operating conditions.

[0049] The temperature at the edge of the inner shell of the infrared fiber optic sensor was obtained by simulating actual working conditions.

[0050] Step 3: Establish a multivariate mathematical model based on the temperature at the edge of the inner shell, and solve the multivariate mathematical model to obtain the optimal cooling channel width and wind speed. The cross-section of the cavity formed by the outer side of the inner shell and the inner side of the outer shell is a ring, and the cooling channel width is the radial width of the ring.

[0051] In this embodiment, by changing the width of the cooling channel, the temperature experienced by the edge of the inner shell is determined through simulation technology. Figure 3 and Figure 4 As shown.

[0052] Collect temperature data, according to Figure 3 and Figure 4 The simulation yielded the inner shell edge temperature data, as shown in Table 1:

[0053] Table 1 Data collected during simulation

[0054]

[0055] A multivariate linear model is established with the inner shell edge temperature as the dependent variable and the cooling channel width and air velocity as independent variables. The expression is as follows:

[0056] (1);

[0057] In the formula, The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, This is a constant term.

[0058] Based on the data in Table 1, normalization was performed, and the established multivariate linear model is as follows: Figure 5 As shown, the result is: , , Standard deviation ,average value At the same time, we obtain: the coefficient of determination Statistic Significance The model is meaningful. The further obtained model is:

[0059] (2);

[0060] In the formula: This is the normalized fitted inner shell edge temperature. This is the normalized cooling channel width. This refers to the normalized wind speed.

[0061] After further inverse normalization, the results are as follows:

[0062] (3);

[0063] The fitted inner shell edge temperature obtained in this embodiment like Figure 5 As shown. The fitted inner shell edge temperature is calculated according to expression (4). Temperature acquisition value at the inner shell edge The sum of the absolute values ​​of the relative errors;

[0064] (4);

[0065] get .

[0066] Based on the collected data, a multivariate nonlinear model was established with the inner shell edge temperature as the dependent variable and the cooling channel width and wind speed as independent variables. The expression is as follows:

[0067] (5);

[0068] In the formula: The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, This is a constant term.

[0069] Based on the data in Table 1, the following calculations were performed: , , , , The multivariate nonlinear model is further obtained as follows:

[0070] (6);

[0071] The results obtained are as follows Figure 6 As shown, the result is calculated according to expression (4). .

[0072] Compare the sum of the absolute values ​​of relative errors calculated from the fitting results of the multivariate linear model with the sum of the absolute values ​​of relative errors calculated from the fitting results of the multivariate nonlinear model, and select the model with the smaller sum of absolute values ​​of relative errors. In this embodiment, the multivariate nonlinear model established by the above expression (6) is selected.

[0073] This embodiment further optimizes the multivariate nonlinear model, using expression (6) as the objective function, and the resulting model is as follows:

[0074] ;

[0075] The initial solution is defined as , Through iterative updates, the optimal solution is finally calculated, i.e., the optimal parameters are: The unit is millimeters. The unit is meters per second. The unit is Celsius, which meets the requirements of the above constraints.

[0076] Will , Substituting this into the physical model, the result is as follows: Figure 7 As shown. Figure 7 The temperature at the edge of the inner shell was 56.1℃, which meets the requirement that the temperature of polyethylene material should not exceed 110℃, indicating that the optimization scheme is feasible.

[0077] It will be understood by those skilled in the art that, unless otherwise defined, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. It should also be understood that terms such as those defined in general dictionaries should be understood to have the same meaning as in the context of the prior art, and should not be interpreted in an idealized or overly formal sense unless defined as herein.

[0078] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of the present invention. It should be understood that the above description is only a specific embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. An optimized design method for an infrared fiber optic sensor, characterized in that: The infrared fiber optic sensor includes interconnected silver halide optical fibers and diamond, and the method includes: A physical model was established based on an infrared fiber optic sensor. Mesh the physical model and define boundary names and boundary conditions; The temperature at the edge of the inner shell of the infrared fiber optic sensor was obtained by simulating actual working conditions. A multivariate mathematical model based on the temperature at the inner shell edge was established and solved to obtain the optimal cooling channel width and airflow speed. A multivariate mathematical model based on the inner shell edge temperature is established, specifically including: Data was collected, including the inner shell edge temperature under different wind speeds with the same cooling channel width, obtained using simulation technology. Based on the collected data, a multiple linear model was established with the inner shell edge temperature as the dependent variable and the cooling channel width and air velocity as independent variables. The expression is as follows: （1）； In the formula, The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, For constant terms; Based on the collected data, a multivariate nonlinear model was established with the inner shell edge temperature as the dependent variable and the cooling channel width and wind speed as independent variables. The expression is as follows: （2）； In the formula: The fitted inner shell edge temperature, For the width of the cooling channel, For wind speed, For coefficient terms, For constant terms; Based on the collected data, the model is determined according to the principle of minimizing the sum of the absolute values ​​of relative errors; （3）； In the formula: It is the sum of the absolute values ​​of the relative errors. This is the temperature value collected at the edge of the inner shell. The fitted inner shell edge temperature, For the sample size, This is the sample number.

2. The infrared fiber optic sensor optimization design method according to claim 1, characterized in that: The boundary conditions include the density of the inner shell material, the density of the outer shell material, the specific heat capacity, the thermal conductivity, the thickness, and the temperature under the operating conditions.

3. The infrared fiber optic sensor optimization design method according to claim 1, characterized in that: Solving multivariate mathematical models specifically includes: The objective function and constraints are defined as follows: （4）； （5）； In the formula: The objective function is the optimal value of the inner shell edge temperature; , These represent the minimum and maximum values ​​of the cooling channel width. , These represent the maximum and minimum wind speeds; Set the initial values ​​for cooling channel width and airflow speed. , Calculate the error between expression (4) and the current solution, and adjust the width of the cooling channel according to the weight based on the magnitude of the error. Wind speed Update value , ,in, As weight, This is the error value. , The update operation is repeated to determine the cooling channel width and airflow speed after one iteration, until the cooling channel width is updated after another iteration. Wind speed Stop when the constraint range is exceeded to obtain the optimal cooling channel width. Wind speed ; Optimal cooling channel width Wind speed We then incorporated the results into the physical model to verify their feasibility.

4. The optimization design system of the infrared fiber optic sensor optimization design method according to any one of claims 1 to 3, characterized in that: include: The physical model building module is used to build a physical model based on infrared fiber optic sensors, including the outer shell, inner shell, and cooling channels. The model configuration module is used to mesh the physical model and define boundary names and boundary conditions. The simulation module is used to simulate actual working conditions and solve for the inner shell edge temperature of the infrared fiber optic sensor. The mathematical model building module is used to establish a multivariate mathematical model based on the temperature of the inner shell edge, and solve the multivariate mathematical model to obtain the optimal cooling channel width and wind speed.

5. An infrared fiber optic sensor designed according to any one of claims 1 to 3, comprising a connected silver halide fiber and a diamond, characterized in that: The silver halide optical fiber and diamond are disposed in the inner shell, and an outer shell made of Haas alloy is disposed on the outside of the inner shell. The cavity formed between the outer shell and the inner shell is a cooling channel, and an air inlet and an air outlet are disposed on the outer shell.

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