Gas diffusion monitoring method and system in power channel based on sensor array
By arranging sensor arrays in the power channel and real-time monitoring and analyzing changes in gas concentration, the problem of difficulty in monitoring the diffusion of gas in the power channel in the prior art is solved, and accurate judgment of the gas leakage amount and diffusion path is achieved, effectively preventing gas explosion accidents.
Patent Information
- Application Number
- CN202411798789.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-09
- Publication Date
- 2025-03-18
- Estimated Expiration
- 2044-12-09
Smart Images

Figure CN119269342B_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of gas diffusion monitoring, and relates to a method and system for monitoring gas diffusion in a power channel based on a sensor array. Background Art
[0002] In modern urban underground pipe networks, gas and power pipelines are often laid parallel or adjacent to each other due to space constraints. While both pipeline systems adhere to strict safety regulations during design and construction, the flammable and explosive nature of gas and the high voltage risks inherent in power pipelines create a potential coupling risk between gas pipeline leaks and the power pipeline system. When gas leaks into power pipelines, it accumulates within the electrical pathways. If power equipment malfunctions or arcs occur at this point, this can easily trigger a gas explosion, resulting in a serious safety incident.
[0003] At present, although great progress has been made in the separate monitoring of gas pipelines and power pipelines, there is still a lack of effective monitoring means for the situation where gas leaks into the power pipeline system. For example, the invention patent with application publication number CN114664057A discloses a gas-electricity monitoring device and monitoring method for a narrow and long confined space. The gas concentration is collected by a methane sensor, and the data processing unit analyzes the collected gas concentration to determine whether a gas leak occurs and records the output gas concentration curve. However, it is difficult for the existing technology to detect the process of gas leakage into the power channel in real time, and it is impossible to accurately determine the diffusion path and concentration change of the gas leak. In addition, the existing monitoring system is usually unable to be linked with the power system for control, resulting in the power equipment still operating normally when the gas leaks into the power channel, increasing the risk of gas explosion.
[0004] Existing gas monitoring devices are limited to detecting pressure and flow within pipelines. However, existing technologies cannot provide sufficient data to support the diffusion of gas leaks into other spaces, particularly power distribution channels. Furthermore, since gas diffuses with the airflow once it enters power distribution channels, its concentration changes are not easily captured by sensors in a single location. Therefore, traditional monitoring methods struggle to accurately determine the amount of gas leaked, its diffusion path, and its accumulation, making it impossible to provide timely and effective warnings for explosion prevention.
[0005] With the increasing complexity and aging of urban underground pipeline networks, the coupling risk between gas pipelines and power pipelines has become increasingly prominent. There is an urgent need for a method that can monitor the gas diffusion behavior in power channels to avoid the harm of gas leakage to the power system and reduce the risk of gas explosion in power channels, providing an effective scientific basis for the formulation of relevant safety standards and protective measures. Summary of the Invention
[0006] The technical problem to be solved by the present invention is how to monitor the diffusion behavior of gas in the power channel.
[0007] The present invention solves the above technical problems through the following technical solutions:
[0008] A method for monitoring gas diffusion in a power channel based on a sensor array includes the following steps:
[0009] S1. Divide the power channel into three-dimensional grids and divide the cross section of the power channel into Initialize the geometric dimensions of the power channel section and arrange the sensor array in each grid unit of the power channel section, where represents the number of grids along the x direction, Indicates the number of grids along the z direction;
[0010] S2. The sensor collects real-time gas concentration information, calculates the gas diffusion coefficient in the power channel, and uses the gas diffusion equation to analyze the gas concentration changes in the power channel;
[0011] S3. Based on the real-time gas concentration information collected by the sensor, the gas concentration gradient and gas diffusion flux in the y direction of each grid cell are calculated using the difference method and the gas concentration gradient. The gas leakage amount of each grid cell is calculated, and the gas leakage amount of each grid cell is accumulated in real time to calculate the total gas leakage in the cross section of the power channel;
[0012] S4. Calculate the relative error based on the gas leakage amount and the actual leakage amount. If the relative error is less than 5%, output the current gas diffusion coefficient and gas leakage amount. If the relative error is greater than or equal to 5%, revise the gas diffusion coefficient, execute S3, and recalculate the gas leakage amount.
[0013] Furthermore, the following formula is used in S2 to calculate the gas diffusion coefficient in the power channel:
[0014]
[0015] Where, Indicates the gas diffusion coefficient of the current power channel cross section, in units of , is the free diffusion coefficient, is the adjusted free diffusion coefficient, is the damping coefficient.
[0016] Furthermore, the gas diffusion equation in S2 is expressed as follows:
[0017]
[0018] Where, Represents the time t and spatial position of the power channel The gas concentration in units of , Represents the spatial second-order partial derivative of gas concentration.
[0019] Furthermore, the gas concentration gradient of each grid cell in the y direction is calculated using the following formula in S3:
[0020]
[0021] Where, Represents the concentration gradient of each grid cell in the y direction, in units of , represents the gas concentration in the grid cell, Indicates the gas concentration outside the grid cell, Indicates the change in the y direction of the unit step of the grid cell.
[0022] Furthermore, the following formula is used in S3 to calculate the gas diffusion flux of each grid cell in the y direction:
[0023]
[0024] Where, Represents the gas diffusion flux of each grid cell in the y direction, in units of ,in , .
[0025] Furthermore, the following formula is used in S3 to calculate the gas leakage of each grid unit:
[0026]
[0027] Where, Indicates the gas leakage of each grid unit, Indicates the cross-sectional width of the power channel, Indicates the cross-sectional height of the power channel.
[0028] Furthermore, the total amount of gas leakage in the power channel cross section is calculated using the following formula in S3:
[0029]
[0030] Where, Indicates the total amount of gas leakage in the cross section of the power channel. T represents the current time, and the time when the gas initially leaks into the power channel is 0.
[0031] Furthermore, the relative error is calculated using the following formula in S4:
[0032]
[0033] Where, Represents the relative error, Indicates the total amount of power channel leakage, Indicates the actual leakage amount.
[0034] Furthermore, the gas diffusion coefficient is revised using the following formula in S4:
[0035]
[0036] Where, represents the revised gas diffusion coefficient, Indicates the adjustment factor.
[0037] A gas diffusion monitoring system in a power channel based on a sensor array includes a sensor array arrangement module, a gas concentration analysis module, a gas diffusion state judgment module, and a gas leakage error analysis module;
[0038] The sensor array arrangement module is used to divide the power channel into three-dimensional grids and divide the power channel cross section into Initialize the geometric dimensions of the power channel section and arrange the sensor array in each grid unit of the power channel section, where represents the number of grids along the x direction, Indicates the number of grids along the z direction;
[0039] The gas concentration analysis module is used to collect real-time gas concentration information through sensors, calculate the gas diffusion coefficient in the power channel, and analyze the gas concentration changes in the power channel using the gas diffusion equation;
[0040] The gas diffusion state judgment module is used to collect real-time gas concentration information from the sensor, calculate the gas concentration gradient and gas diffusion flux of each grid cell in the y direction based on the difference method and the gas concentration gradient, calculate the gas leakage amount of each grid cell, accumulate the gas leakage amount of each grid cell in real time, and calculate the total gas leakage amount of the power channel cross section;
[0041] The gas leakage error analysis module is used to calculate the relative error between the gas leakage amount and the actual leakage amount. If the relative error is less than 5%, the current gas diffusion coefficient and gas leakage amount are output; if the relative error is greater than or equal to 5%, the gas diffusion coefficient is revised, the gas diffusion state judgment module is executed, and the gas leakage amount is recalculated.
[0042] The advantages of the present invention are:
[0043] The present invention uses gas concentration information collected by a sensor array to monitor gas diffusion behavior in power channels. By arranging a multi-point sensor array in the cross section of the power channel, taking into account the influence of obstacle characteristics in the power channel on gas diffusion, the concentration distribution in the cross section of the power channel is calculated in combination with the gas diffusion law. The monitoring model is improved through cyclic correction, providing theoretical support for gas monitoring and early warning in power channels, providing a scientific basis for accident prevention and handling, avoiding the harm of gas leakage to the power system, and reducing the risk of gas explosion in the power channel. BRIEF DESCRIPTION OF THE DRAWINGS
[0044] Figure 1 This is a flow chart of a method for monitoring gas diffusion in a power channel based on a sensor array according to a first embodiment of the present invention;
[0045] Figure 2 Schematic diagram of the arrangement of a sensor array in a power channel according to the first embodiment of the present invention;
[0046] Figure 3 This is an example diagram of the power channel site of the first embodiment of the present invention. DETAILED DESCRIPTION
[0047] To make the objectives, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.
[0048] The technical solution of the present invention is further described below with reference to the accompanying drawings and specific embodiments:
[0049] Example 1
[0050] like Figure 1 Specifically, a method for monitoring gas diffusion in a power channel based on a sensor array is disclosed, comprising the following steps:
[0051] S1. Divide the power channel into grids and divide the cross section of the power channel into The geometric dimensions of the power channel section are initialized, and the sensor array is arranged in each grid unit of the power channel section.
[0052] In this embodiment, the power channel is divided into a three-dimensional grid. The horizontal direction of the power channel cross section is defined as the x-direction, the vertical direction of the power channel cross section is defined as the z-direction, the extension direction of the power channel is defined as the y-direction, and the plane where the power channel cross section is located is defined as the xoz plane. Each grid cell represents the gas concentration of a certain volume unit. The area of the cable and cable bracket is set as an obstacle area, and the gas cannot pass through.
[0053] In this embodiment, the cross section of the power channel is divided into The grid, represents the number of grids along the x direction, Indicates the number of grids along the z direction, initializes the geometric dimensions of the power channel section, sets the power channel section width to W, height to H, and the cross-sectional area of each grid .
[0054] like Figure 2-3 As shown, the power channel includes a cable trench, a power pipeline and a power well (not shown); multiple cable trenches are connected in sequence, the power pipeline is laid in the cable trench, and both ends of the power well are connected to the cable trench; the cable trench is made of stainless steel, and the cable trenches are sealed by rubber rings or welding; mesh covers are set at both ends of the power well to prevent interference from external airflow. Figure 2 As shown, the leakage point E is set at the bottom of the power channel, and the gas diffuses through the leakage point E along the extension direction of the power channel.
[0055] The sensor array is distributed in each grid unit of the power channel cross section, and each sensor can collect the gas concentration data of the grid unit where it is located in real time.
[0056] by Figure 2 For example, in this embodiment, n is taken as 3, and the cross section of the power channel is divided into The sensor array consists of a horizontally arranged side A sensor, a center sensor, and a side B sensor. The side A sensors consist of sensors A1, A2, and A3 arranged vertically. The center sensors consist of sensors F1, F2, and F3 arranged vertically. The side B sensors consist of sensors B1, B2, and B3 arranged horizontally. Data collected by the sensor array allows numerical simulation to construct the concentration field of the entire cable trench and analyze gas concentration changes within the power channel.
[0057] S2. The sensor collects real-time gas concentration information, calculates the gas diffusion coefficient in the power channel, and uses the gas diffusion equation to analyze the changes in gas concentration in the power channel.
[0058] In this embodiment, the expression of the gas diffusion coefficient is as follows:
[0059]
[0060] Where, Indicates the gas diffusion coefficient of the current power channel cross section, in units of , the gas diffusion coefficient will be affected by obstacles (such as cables and cable supports), is the free diffusion coefficient, is the adjusted free diffusion coefficient, is the damping coefficient, take , represents the slowing effect of obstacles on gas diffusion, simulating the obstruction effect during gas diffusion. For example, near an obstacle, the gas diffusion coefficient decreases, while in open areas, the gas diffusion coefficient is the free diffusion coefficient value.
[0061] Obstacles in different areas have different effects on gas diffusion. For example, cables and brackets are common obstacles in power channels, which will block or slow down the diffusion of gas. By introducing a dynamic diffusion coefficient, that is, adjusting the diffusion coefficient according to the properties of obstacles in different locations, and using the dynamic diffusion coefficient to represent the impact of obstacles on diffusion, it can accurately reflect the actual situation of the gas diffusion process in the power channel, realistically simulate the propagation characteristics of gas in the power channel, and improve the predictive ability and accuracy of the model.
[0062] At the same time, changes in the state of obstacles (such as cable movement and bracket removal) will lead to changes in environmental conditions. The present invention adjusts the diffusion coefficient according to the properties of obstacles at different locations, analyzes the gas diffusion under different environmental conditions, and improves the flexibility and adaptability of the gas concentration change analysis.
[0063] In this embodiment, the gas diffusion process in the power channel is simulated using the gas diffusion equation and discretized in a three-dimensional grid space using the finite difference method. The gas diffusion equation is expressed as follows:
[0064]
[0065] Where, Represents the time t and spatial position of the power channel The gas concentration in units of , The spatial second-order partial derivative of the gas concentration is used to describe the gas diffusion at that location.
[0066] S3. Based on the real-time gas concentration information collected by the sensor, the gas concentration gradient and gas diffusion flux in the y direction of each grid cell are calculated based on the difference method and the gas concentration gradient. The gas leakage amount of each grid cell is calculated, and the gas leakage amount of each grid cell is accumulated in real time to calculate the total gas leakage of the power channel cross section.
[0067] In this embodiment, S3 includes the following specific steps:
[0068] S31. Calculate the gas concentration gradient and gas diffusion flux in the y direction of each grid cell based on the difference method and the gas concentration gradient;
[0069] In this embodiment, since the gas diffusion mainly occurs along the y-direction of the power channel, and the gas changes in the x- and z-directions within the power channel are relatively small, the gas diffusion in three-dimensional space is approximated as a one-dimensional diffusion model. The gas leakage rate in the power channel cross section is obtained by calculating the gas concentration gradient in the y-direction within each grid cell.
[0070] The gas concentration gradient in the y direction of each grid cell is calculated using the following formula:
[0071]
[0072] Where, Represents the concentration gradient of each grid cell in the y direction, in units of , represents the gas concentration in the grid cell, Indicates the gas concentration outside the grid cell, Indicates the change in the y direction of the unit step of the grid cell.
[0073] The gas diffusion flux in the y direction of each grid cell is calculated using the following formula:
[0074]
[0075] Where, Represents the gas diffusion flux of each grid cell in the y direction, in units of ,in , .
[0076] S32. Calculate the gas leakage amount of each grid unit, accumulate the gas leakage amount of each grid unit in real time, and calculate the total gas leakage amount of the power channel cross section;
[0077] The gas leakage of each grid unit is calculated using the following formula:
[0078]
[0079] Where, Represents the gas leakage of each grid unit, where , .
[0080] Furthermore, the gas leakage of each grid unit is accumulated in real time, and the total gas leakage of the power channel section is calculated using the following formula:
[0081]
[0082] Where, Indicates the total amount of gas leakage in the cross section of the power channel. T represents the current time, and the time when the gas initially leaks into the power channel is 0.
[0083] S4. Calculate the relative error based on the gas leakage amount and the actual leakage amount. If the relative error is less than 5%, output the current gas diffusion coefficient and gas leakage amount. If the relative error is greater than or equal to 5%, revise the gas diffusion coefficient, execute S3, and recalculate the gas leakage amount.
[0084] In this embodiment, the relative error is calculated using the following formula:
[0085]
[0086] Where, Represents the relative error, Indicates the actual leakage amount; in this embodiment, the actual leakage amount It is calculated through experimental testing and is a given leakage value.
[0087] In this embodiment, the gas diffusion coefficient is revised using the following formula:
[0088]
[0089] Where, represents the revised gas diffusion coefficient, Represents the adjustment factor used to control the revision rate.
[0090] The present invention uses gas concentration information collected by a sensor array to monitor gas diffusion behavior in power channels. By arranging a multi-point sensor array in the cross section of the power channel, taking into account the influence of obstacle characteristics in the power channel on gas diffusion, the concentration distribution in the cross section of the power channel is calculated in combination with the gas diffusion law. The monitoring model is improved through cyclic correction, providing theoretical support for gas monitoring and early warning in power channels, providing a scientific basis for accident prevention and handling, avoiding the harm of gas leakage to the power system, and reducing the risk of gas explosion in the power channel.
[0091] Example 2
[0092] The present invention also provides a gas diffusion monitoring system in a power channel based on a sensor array, which includes a sensor array arrangement module, a gas concentration analysis module, a gas diffusion state judgment module and a gas leakage error analysis module.
[0093] The sensor array arrangement module is used to divide the power channel into three-dimensional grids and divide the power channel cross section into The geometric dimensions of the power channel section are initialized, and the sensor array is arranged in each grid unit of the power channel section.
[0094] In this embodiment, the power channel is divided into a three-dimensional grid. The horizontal direction of the power channel cross section is defined as the x-direction, the vertical direction of the power channel cross section is defined as the z-direction, the extension direction of the power channel is defined as the y-direction, and the plane where the power channel cross section is located is defined as the xoz plane. Each grid cell represents the gas concentration of a certain volume unit. The area of the cable and cable bracket is set as an obstacle area, and the gas cannot pass through.
[0095] In this embodiment, the cross section of the power channel is divided into The grid, represents the number of grids along the x direction, Indicates the number of grids along the z direction, initializes the geometric dimensions of the power channel section, sets the power channel section width to W, height to H, and the cross-sectional area of each grid .
[0096] The power channel includes a cable trench, power conduits, and a power well. Multiple cable trenches are connected in sequence, with power conduits laid within the trenches. Both ends of the power well are connected to the cable trenches. The cable trenches are constructed of stainless steel and sealed with rubber rings or welds. Mesh guards are installed at both ends of the power well to prevent interference from external airflow. A leak point E is set at the bottom of the power channel, and gas diffuses through this leak point along the extension of the power channel.
[0097] The sensor array is distributed in each grid unit of the power channel cross section, and each sensor can collect the gas concentration data of the grid unit where it is located in real time.
[0098] In this embodiment, n is set to 3, and the cross section of the power channel is divided into The sensor array consists of a horizontally arranged side A sensor, a center sensor, and a side B sensor. The side A sensors consist of sensors A1, A2, and A3 arranged vertically. The center sensors consist of sensors F1, F2, and F3 arranged vertically. The side B sensors consist of sensors B1, B2, and B3 arranged horizontally. Data collected by the sensor array allows numerical simulation to construct the concentration field of the entire cable trench and analyze gas concentration changes within the power channel.
[0099] The gas concentration analysis module is used to collect real-time gas concentration information through sensors, calculate the gas diffusion coefficient in the power channel, and analyze the gas concentration changes in the power channel using the gas diffusion equation.
[0100] In this embodiment, the expression of the gas diffusion coefficient is as follows:
[0101]
[0102] Where, Indicates the gas diffusion coefficient of the current power channel cross section, in units of , the gas diffusion coefficient will be affected by obstacles (such as cables and cable supports), is the free diffusion coefficient, is the adjusted free diffusion coefficient, is the damping coefficient, take , represents the slowing effect of obstacles on gas diffusion, simulating the obstruction effect during gas diffusion. For example, near an obstacle, the gas diffusion coefficient decreases, while in open areas, the gas diffusion coefficient is the free diffusion coefficient value.
[0103] Obstacles in different areas have different effects on gas diffusion. For example, cables and brackets are common obstacles in power channels, which will block or slow down the diffusion of gas. By introducing a dynamic diffusion coefficient, that is, adjusting the diffusion coefficient according to the properties of obstacles in different locations, and using the dynamic diffusion coefficient to represent the impact of obstacles on diffusion, it can accurately reflect the actual situation of the gas diffusion process in the power channel, realistically simulate the propagation characteristics of gas in the power channel, and improve the predictive ability and accuracy of the model.
[0104] At the same time, changes in the state of obstacles (such as cable movement and bracket removal) will lead to changes in environmental conditions. The present invention adjusts the diffusion coefficient according to the properties of obstacles at different locations, analyzes the gas diffusion under different environmental conditions, and improves the flexibility and adaptability of the gas concentration change analysis.
[0105] In this embodiment, the gas diffusion process in the power channel is simulated using the gas diffusion equation and discretized in a three-dimensional grid space using the finite difference method. The gas diffusion equation is expressed as follows:
[0106]
[0107] Where, Represents the time t and spatial position of the power channel The gas concentration in units of , The spatial second-order partial derivative of the gas concentration is used to describe the gas diffusion at that location.
[0108] The gas diffusion state judgment module is used to collect real-time gas concentration information from sensors, calculate the gas concentration gradient and gas diffusion flux in the y direction of each grid cell based on the difference method and the gas concentration gradient, calculate the gas leakage amount of each grid cell, accumulate the gas leakage amount of each grid cell in real time, and calculate the total gas leakage amount of the power channel cross section.
[0109] The gas diffusion state judgment module includes a grid leakage unit and a leakage total amount unit.
[0110] The grid leakage unit is used to calculate the gas concentration gradient and gas diffusion flux of each grid unit in the y direction based on the difference method and the gas concentration gradient;
[0111] In this embodiment, since the gas diffusion mainly occurs along the y-direction of the power channel, and the gas changes in the x- and z-directions within the power channel are relatively small, the gas diffusion in three-dimensional space is approximated as a one-dimensional diffusion model. The gas leakage rate in the power channel cross section is obtained by calculating the gas concentration gradient in the y-direction within each grid cell.
[0112] The gas concentration gradient in the y direction of each grid cell is calculated using the following formula:
[0113]
[0114] Where, Represents the concentration gradient of each grid cell in the y direction, in units of , represents the gas concentration in the grid cell, Indicates the gas concentration outside the grid cell, Indicates the change in the y direction of the unit step of the grid cell.
[0115] The gas diffusion flux in the y direction of each grid cell is calculated using the following formula:
[0116]
[0117] Where, Represents the gas diffusion flux of each grid cell in the y direction, in units of ,in , .
[0118] The total leakage amount unit is used to calculate the gas leakage amount of each grid unit, accumulate the gas leakage amount of each grid unit in real time, and calculate the total gas leakage amount of the power channel cross section;
[0119] The gas leakage of each grid unit is calculated using the following formula:
[0120]
[0121] Where, Represents the gas leakage of each grid unit, where , .
[0122] Furthermore, the gas leakage of each grid unit is accumulated in real time, and the total gas leakage of the power channel section is calculated using the following formula:
[0123]
[0124] Where, Indicates the total amount of gas leakage in the cross section of the power channel. T represents the current time, and the time when the gas initially leaks into the power channel is 0.
[0125] The gas leakage error analysis module is used to calculate the relative error between the gas leakage amount and the actual leakage amount. If the relative error is less than 5%, the current gas diffusion coefficient and gas leakage amount are output; if the relative error is greater than or equal to 5%, the gas diffusion coefficient is revised, the gas diffusion state judgment module is executed, and the gas leakage amount is recalculated.
[0126] In this embodiment, the relative error is calculated using the following formula:
[0127]
[0128] Where, Represents the relative error, Indicates the actual leakage amount; in this embodiment, the actual leakage amount It is calculated through experimental testing and is a given leakage value.
[0129] In this embodiment, the gas diffusion coefficient is revised using the following formula:
[0130]
[0131] Where, represents the revised gas diffusion coefficient, Represents the adjustment factor used to control the revision rate.
[0132] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.
Claims
1. A method for monitoring gas diffusion in a power channel based on a sensor array, characterized in that: The following steps are involved: S1. Divide the power channel into three-dimensional grids and divide the cross section of the power channel into The grid is used to initialize the geometric dimensions of the power channel cross section, and the sensor array is arranged in each grid unit of the power channel cross section, where: represents the number of grids along the x direction, Indicates the number of grids along the z direction; S2. The sensor collects real-time gas concentration information, calculates the gas diffusion coefficient in the power channel, and uses the gas diffusion equation to analyze the change of gas concentration in the power channel; S3, collect real-time gas concentration information from sensors, and calculate the gas concentration of each grid unit based on the difference method. The gas concentration gradient in the direction is based on the The gas concentration gradient in the direction is calculated for each grid cell. The gas diffusion flux in the direction is calculated, the gas leakage of each grid unit is calculated, the gas leakage of each grid unit is accumulated in real time, and the total gas leakage of the power channel section is calculated; S4. Calculate the relative error based on the gas leakage and the actual leakage. If the relative error is less than 5%, output the current gas diffusion coefficient and gas leakage. If the relative error is greater than or equal to 5%, revise the gas diffusion coefficient, execute S3, and recalculate the gas leakage.
2. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 1, characterized in that: In S2, the following formula is used to calculate the gas diffusion coefficient in the power channel: In the formula, Indicates the gas diffusion coefficient of the current power channel cross section, in units of , is the free diffusion coefficient, is the adjusted free diffusion coefficient, is the damping coefficient.
3. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 2, characterized in that: The expression of the gas diffusion equation in S2 is as follows: In the formula, represents the internal time t and spatial position of the power channel The gas concentration in units of , Represents the spatial second-order partial derivative of gas concentration.
4. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 3, characterized in that: In S3, the following formula is used to calculate the grid cells Gas concentration gradient in direction: In the formula, Indicates that each grid cell is The concentration gradient in the direction of , represents the gas concentration in the grid cell, Indicates the gas concentration outside the grid cell, Indicates the unit step size of the grid cell in The amount of change in direction.
5. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 4, characterized in that: In S3, the following formula is used to calculate the grid cells Gas diffusion flux in direction: In the formula, Indicates that each grid cell is The gas diffusion flux in the direction, in units of ,in , .
6. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 5, characterized in that: In S3, the gas leakage amount of each grid unit is calculated using the following formula: In the formula, It represents the gas leakage of each grid unit, W represents the cross-sectional width of the power channel, and H represents the cross-sectional height of the power channel.
7. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 6, characterized in that: In S3, the total amount of gas leakage in the cross section of the power channel is calculated using the following formula: In the formula, It represents the total amount of gas leakage in the cross section of the power channel. T represents the current time. The time when the gas initially leaks into the power channel is 0.
8. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 7, characterized in that: The relative error is calculated using the following formula in S4: In the formula, Relative error, Indicates the total amount of power channel leakage, Indicates the actual leakage amount.
9. The method for monitoring gas diffusion in a power channel based on a sensor array according to claim 8, characterized in that: In S4, the following formula is used to revise the gas diffusion coefficient: In the formula, represents the revised gas diffusion coefficient, Represents the adjustment factor.
10. A gas diffusion monitoring system in a power channel based on a sensor array, characterized in that: It includes a sensor array arrangement module, a gas concentration analysis module, a gas diffusion state judgment module and a gas leakage error analysis module; The sensor array arrangement module is used to divide the power channel into three-dimensional grids and divide the cross section of the power channel into The grid is used to initialize the geometric dimensions of the power channel cross section, and the sensor array is arranged in each grid unit of the power channel cross section, where: represents the number of grids along the x direction, Indicates the number of grids along the z direction; The gas concentration analysis module is used for collecting real-time gas concentration information through sensors, calculating the gas diffusion coefficient in the power channel, and analyzing the change of gas concentration in the power channel using the gas diffusion equation; The gas diffusion state judgment module is used to collect real-time gas concentration information from sensors and calculate the gas concentration of each grid unit based on the difference method. The gas concentration gradient in the direction is based on the The gas concentration gradient in the direction is calculated for each grid cell. The gas diffusion flux in the direction is calculated, the gas leakage of each grid unit is calculated, the gas leakage of each grid unit is accumulated in real time, and the total gas leakage of the power channel section is calculated; The gas leakage error analysis module is used to calculate the relative error based on the gas leakage amount and the actual leakage amount. If the relative error is less than 5%, the current gas diffusion coefficient and gas leakage amount are output; if the relative error is greater than or equal to 5%, the gas diffusion coefficient is revised, the gas diffusion state judgment module is executed, and the gas leakage amount is recalculated.
Citation Information
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