Monitoring and early warning system for gas pipeline

Abstract

The invention discloses a monitoring and early warning system for a gas pipeline, and the system comprises an obtaining module which is used for obtaining a structural diagram of a gas transmission pipe network; the first determination module is used for determining a gas main path and each gas branch path which form the gas transmission pipe network according to the structure chart; the first monitoring module is used for monitoring a gas pipeline of a gas main path through the mobile robot to obtain first monitoring information; the second monitoring module is used for monitoring the gas branches based on flow meters arranged on the gas channels of the gas branches to obtain second monitoring information; and the early warning module is used for giving out an early warning prompt according to the first monitoring information and the second monitoring information when the existence of the leaked gas pipeline is determined. And a corresponding detection method is adopted according to the type of the gas pipeline, so that the leakage pipeline can be accurately determined.

Description

Technical Field

[0001] The present invention relates to the technical field of monitoring and early warning, and in particular to a monitoring and early warning system for a gas pipeline. Background Art

[0002] As the scope of urban gas application expands, the laying of natural gas pipeline systems tends to be intensive. As we all know, natural gas is a flammable and explosive gas, and its storage and transportation safety requirements are very high. Once a leak occurs and is not discovered in time, it may lead to a greater safety accident. Therefore, it is of great significance to effectively detect leaks in the gas pipeline network.

[0003] At present, gas pipelines mainly use the relatively backward manual inspection leak detection method, and whether the gas pipeline is leaking is mainly focused on pipeline pressure analysis, etc. There are technical problems in the existing technology that cannot accurately detect leaking pipelines, and it is impossible to adopt corresponding detection methods according to the type of gas pipeline. Summary of the invention

[0004] The present invention aims to solve at least one of the technical problems in the above-mentioned technology to a certain extent. To this end, the purpose of the present invention is to provide a monitoring and early warning system for gas pipelines, which adopts corresponding detection methods according to the type of gas pipelines to facilitate accurate determination of leaking pipelines.

[0005] To achieve the above objectives, an embodiment of the present invention provides a monitoring and early warning system for a gas pipeline, comprising:

[0006] An acquisition module, used to acquire a structural diagram of a gas transmission network;

[0007] The first determination module is used to determine the main gas line and each gas branch line constituting the gas transmission network according to the structural diagram;

[0008] A first monitoring module is used to monitor the gas pipeline of the main gas line by a mobile robot to obtain first monitoring information;

[0009] A second monitoring module is used to monitor the gas branch based on the flow meter arranged on the gas channel of each gas branch to obtain second monitoring information;

[0010] The early warning module is used to issue an early warning prompt when it is determined that there is a leak in the gas pipeline based on the first monitoring information and the second monitoring information.

[0011] According to some embodiments of the present invention, the first monitoring module includes:

[0012] A collection module, used for collecting sound signals at a location while the mobile robot moves on a gas pipeline of a gas main line;

[0013] A second determination module is used to preprocess the sound signal, convert the preprocessed sound signal into a frequency domain signal, extract features from the frequency domain signal, and determine audio features;

[0014] The first comparison module is used to compare the audio feature with the preset audio feature and obtain the first monitoring information according to the comparison information.

[0015] According to some embodiments of the present invention, the second monitoring module includes:

[0016] A construction module, used to obtain the position information of the flow meter arranged on the gas channel of the gas branch, and to construct a topological relationship diagram of the flow meter;

[0017] Generate modules for:

[0018] Get the flow information of each flow meter;

[0019] Generate a flow loss data table based on the topological relationship diagram and the flow information of each flow meter;

[0020] The second comparison module is used to compare the flow loss data table with the preset flow loss data table, and obtain the second monitoring information according to the comparison result.

[0021] According to some embodiments of the present invention, the generation module generates a flow loss data table according to the topology diagram and the flow information of each flow meter, including:

[0022] According to the topological relationship diagram, two adjacent flow meters are determined, and the difference in flow information between the two adjacent flow meters is calculated. The difference is divided by the flow information of the previous flow meter to obtain loss information, and the calculations are performed in sequence to generate a flow loss data table.

[0023] According to some embodiments of the present invention, the early warning module is used to indicate that there is a leak in the gas pipeline and issue an early warning prompt when it is determined that the audio feature matches the preset audio feature according to the first monitoring information and / or when it is determined that the flow loss data table does not match the preset flow loss data table according to the second monitoring information.

[0024] According to some embodiments of the present invention, the early warning module is further used to generate closing instruction information for the corresponding branch control valve when it is determined based on the second monitoring information that the flow loss data table does not match the preset flow loss data table.

[0025] According to some embodiments of the present invention, the present invention further includes: a display module, configured to:

[0026] Obtain valve opening information after the branch control valve executes the closing instruction information, and compare it with the preset opening;

[0027] When it is determined that the valve opening information is less than the preset opening, a prompt message indicating that the branch control valve is closed is generated and displayed.

[0028] According to some embodiments of the present invention, the present invention further includes: a third determining module, configured to:

[0029] Detecting the dynamic concentration of leaked gas in the leaking area of ​​the leaking gas pipeline;

[0030] According to the dynamic concentration of leaked gas in each leakage area and the number of leakage areas, the preset data table is queried to determine the danger level of the gas transmission pipeline network and issue an early warning prompt of the corresponding level.

[0031] According to some embodiments of the present invention, the further comprising:

[0032] A setting module, used to pre-set and number gas recovery devices of different powers within a preset range of a gas pipeline of a gas transmission network;

[0033] The control module is used to close the corresponding control valve and open all the gas recovery devices to recover the leaked gas when it is determined that the danger level of the gas transmission pipeline network is lower than the high-risk level.

[0034] According to some embodiments of the present invention, the present invention further includes: an adjustment module, configured to:

[0035] In the process of recovering the leaked gas, the dynamic concentration of the leaked gas is detected. When it is determined that the dynamic concentration is less than a threshold value, the value of the amount of leaked gas to be recovered within the time t is set, the opened gas recovery device is adjusted, and the device group of the opened gas recovery device is re-determined;

[0036] The gas recovery devices are numbered, set to i, i = 1, 2, 3, ... n, n is the maximum number of the gas recovery devices used for regulation; set P i is the power of the gas recovery device i when it is running, P is is the instantaneous power of starting the gas recovery device i, P is >P i ; Let F i For gas recovery device F i The value of the amount of gas that can be recovered during normal operation, F t is the value of the amount of leaked gas that needs to be recovered within time t;

[0037] Re-determine the device group S of the activated gas recovery device t for:

[0038]

[0039] The array() function represents array operations, and e is a natural constant; [P1, P2, …Pn ] -T To transpose the matrix first and then invert it; β represents the saving effect factor when part of the gas recovery device is closed:

[0040] The gas recovery command is executed based on the device group of the re-determined activated gas recovery devices.

[0041] The present invention proposes a monitoring and early warning system for gas pipelines. The corresponding detection method is adopted according to the type of gas pipeline, which is convenient for accurately determining the leaking pipeline, can realize comprehensive monitoring and early warning of the gas transmission pipeline network, and effectively ensure the safety and reliability of gas transmission.

[0042] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or understood by practicing the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description and the accompanying drawings.

[0043] The technical solution of the present invention is further described in detail below through the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] The accompanying drawings are used to provide a further understanding of the present invention and constitute a part of the specification. Together with the embodiments of the present invention, they are used to explain the present invention and do not constitute a limitation of the present invention. In the accompanying drawings:

[0045] Figure 1 is a block diagram of a monitoring and early warning system for a gas pipeline according to an embodiment of the present invention;

[0046] Figure 2 is a block diagram of a first monitoring module according to an embodiment of the present invention;

[0047] Figure 3 is a block diagram of a second monitoring module according to an embodiment of the present invention. DETAILED DESCRIPTION

[0048] The preferred embodiments of the present invention are described below in conjunction with the accompanying drawings. It should be understood that the preferred embodiments described herein are only used to illustrate and explain the present invention, and are not used to limit the present invention.

[0049] like Figure 1 As shown, the embodiment of the present invention proposes a monitoring and early warning system for a gas pipeline, comprising:

[0050] An acquisition module, used to acquire a structural diagram of a gas transmission network;

[0051] The first determination module is used to determine the main gas line and each gas branch line constituting the gas transmission network according to the structural diagram;

[0052] A first monitoring module is used to monitor the gas pipeline of the main gas line by a mobile robot to obtain first monitoring information;

[0053] A second monitoring module is used to monitor the gas branch based on the flow meter arranged on the gas channel of each gas branch to obtain second monitoring information;

[0054] The early warning module is used to issue an early warning prompt when it is determined that there is a leak in the gas pipeline based on the first monitoring information and the second monitoring information.

[0055] The working principle of the above technical solution is as follows: the acquisition module retrieves the latest gas transmission network structure diagram through the data interface or directly from the database of the gas company to ensure that the system has the most accurate network layout information. The first determination module uses the graph theory algorithm to analyze the structure diagram, automatically divide the gas main road and each gas branch, and provide accurate path information for subsequent monitoring. The diameter of the gas pipeline of the gas main road is larger than the diameter of the gas pipeline of the gas branch, and is mainly used for long-distance transmission of gas. The gas branch is mainly used for access to gas into households and communities. Based on the gas pipeline of the gas main road, there are multiple gas branches. The method of monitoring by flow meter is easy to cause complex and inaccurate detection. At the same time, there are great difficulties in the investigation of the leakage area of ​​the gas pipeline of the gas main road. Therefore, the gas pipeline of the gas main road is monitored by a mobile robot to obtain the first monitoring information. Because the gas branch does not involve too complicated pipeline design, the gas branch is monitored based on the flow meter set on the gas channel of each gas branch to obtain the second monitoring information; the early warning module receives the information of the first monitoring module and the second monitoring module, and judges whether there is a risk of gas leakage through comparative analysis. Once a gas leak is detected, the early warning mechanism will be triggered immediately, and early warning prompts will be sent to relevant personnel through various means such as sound and light alarms, text message notifications, and email reminders to ensure that timely measures are taken to deal with the situation.

[0056] The beneficial effects of the above technical solution are: adopting corresponding detection methods according to the type of gas pipeline, which is convenient for accurately determining the leaking pipeline, and can realize comprehensive monitoring and early warning of the gas transmission network, effectively ensuring the safety and reliability of gas transmission.

[0057] like Figure 2 As shown, according to some embodiments of the present invention, the first monitoring module includes:

[0058] A collection module, used for collecting sound signals at a location while the mobile robot moves on a gas pipeline of a gas main line;

[0059] A second determination module is used to preprocess the sound signal, convert the preprocessed sound signal into a frequency domain signal, extract features from the frequency domain signal, and determine audio features;

[0060] The first comparison module is used to compare the audio feature with the preset audio feature and obtain the first monitoring information according to the comparison information.

[0061] The working principle and beneficial effects of the above technical solution: The acquisition module uses a high-sensitivity microphone or other sound acquisition equipment carried by the mobile robot to move along a predetermined path on the gas pipeline of the main gas line. During the movement, the sound signals of the surrounding environment are continuously collected, including possible gas leakage sounds, pipeline vibration sounds, etc. The second determination module improves the quality of the sound signal by preprocessing means such as filtering and denoising. Then, the preprocessed sound signal is converted from the time domain to the frequency domain using the fast Fourier transform (FFT). In the frequency domain, the signal is feature extracted based on spectrum analysis or energy distribution analysis to extract audio features that can reflect gas leakage or other abnormal conditions. The preset audio feature is the audio feature corresponding to the sound signal when the gas pipeline leaks, which is obtained based on historical data or experimental data and can reflect abnormal conditions such as gas leakage and pipeline rupture. The first comparison module compares the audio feature with the preset audio feature, and determines whether the current sound signal contains abnormal conditions by calculating the similarity. The first monitoring information is obtained according to the comparison information, which facilitates the monitoring of the gas pipeline of the main gas line.

[0062] like Figure 3 As shown, according to some embodiments of the present invention, the second monitoring module includes:

[0063] A construction module, used to obtain the position information of the flow meter arranged on the gas channel of the gas branch, and to construct a topological relationship diagram of the flow meter;

[0064] Generate modules for:

[0065] Get the flow information of each flow meter;

[0066] Generate a flow loss data table based on the topological relationship diagram and the flow information of each flow meter;

[0067] The second comparison module is used to compare the flow loss data table with the preset flow loss data table, and obtain the second monitoring information according to the comparison result.

[0068] Working principle and beneficial effects of the above technical solution: The construction module collects key information such as the deployment location and model of the flow meter from the database or related system of the gas company. Based on this information, the module uses graph theory or geographic information system (GIS) technology to generate an intuitive flow meter topology diagram. This diagram can clearly show the location of each flow meter in the gas branch and the connection relationship between them. The generation module continuously reads real-time flow data from each flow meter. Subsequently, the module uses the topology diagram to analyze these data and calculate the loss of gas during branch transmission. These loss data will be organized into a flow loss data table, which will list in detail the readings of each flow meter, the amount of gas transmitted, and the loss calculated based on these data. The second comparison module stores one or more preset flow loss data tables, which are usually based on historical data or industry standards to reflect the normal gas loss range. The module compares the real-time generated flow loss data table with these preset flow loss data tables, and determines whether the current loss situation is normal by calculating the difference. The second monitoring information is obtained based on the comparison result. The second monitoring module can achieve comprehensive monitoring and early warning of the gas branch flow situation by constructing a flow meter topology relationship diagram, generating a flow loss data table in real time, and performing comparative analysis with a preset data table.

[0069] According to some embodiments of the present invention, the generation module generates a flow loss data table according to the topology diagram and the flow information of each flow meter, including:

[0070] According to the topological relationship diagram, two adjacent flow meters are determined, and the difference in flow information between the two adjacent flow meters is calculated. The difference is divided by the flow information of the previous flow meter to obtain loss information, and the calculations are performed in sequence to generate a flow loss data table.

[0071] The working principle and beneficial effects of the above technical solution: For example, two adjacent flow meters are determined according to the topological relationship diagram, the first flow meter in front and the second flow meter in the back, the difference between the first flow meter and the second flow meter is calculated, and the difference is divided by the reading of the first flow meter to obtain the loss information, and the calculations are performed in sequence to facilitate the accurate generation of a flow loss data table.

[0072] According to some embodiments of the present invention, the early warning module is used to indicate that there is a leak in the gas pipeline and issue an early warning prompt when it is determined that the audio feature matches the preset audio feature according to the first monitoring information and / or when it is determined that the flow loss data table does not match the preset flow loss data table according to the second monitoring information.

[0073] According to some embodiments of the present invention, the early warning module is further used to generate closing instruction information for the corresponding branch control valve when it is determined based on the second monitoring information that the flow loss data table does not match the preset flow loss data table.

[0074] The beneficial effect of the above technical solution is as follows: when it is determined according to the second monitoring information that the flow loss data table does not match the preset flow loss data table, closing instruction information for the corresponding branch control valve is generated, which facilitates the on-off control of the gas branch and avoids large amounts of gas leakage from the gas branch.

[0075] According to some embodiments of the present invention, the present invention further includes: a display module, configured to:

[0076] Obtain valve opening information after the branch control valve executes the closing instruction information, and compare it with the preset opening;

[0077] When it is determined that the valve opening information is less than the preset opening, a prompt message indicating that the branch control valve is closed is generated and displayed.

[0078] The working principle and beneficial effects of the above technical solution are as follows: Based on the sensor or actuator installed on the branch control valve to reflect the current state of the valve. The valve opening data is read from the sensor / actuator in real time and compared with the preset closing opening in the system (usually a value close to 0 or indicating full closure). Once it is confirmed that the valve is closed, the module will immediately generate a prompt containing key information such as the valve number and closing time, and display it to the operator through the system's user interface (such as a display, touch screen or mobile application). The display module provides operators with an intuitive and real-time monitoring interface, allowing them to accurately understand the switch status of the branch control valve, thereby ensuring the safe operation of the gas transmission pipeline network.

[0079] According to some embodiments of the present invention, the present invention further includes: a third determining module, configured to:

[0080] Detecting the dynamic concentration of leaked gas in the leaking area of ​​the leaking gas pipeline;

[0081] According to the dynamic concentration of leaked gas in each leakage area and the number of leakage areas, the preset data table is queried to determine the danger level of the gas transmission pipeline network and issue an early warning prompt of the corresponding level.

[0082] The working principle and beneficial effects of the above technical solution: Highly sensitive gas concentration sensors are deployed at key locations along the gas pipeline (such as branch points, valves, joints and other leak-prone points) and potential high-risk areas. The sensor network collects gas concentration data in real time and transmits it to the central monitoring system by wired or wireless means to obtain accurate dynamic concentration information of leaked gas. The preset data table is a data table of dynamic concentration-number of leakage areas-danger level. According to the hazard level, the early warning prompts are divided into different levels (such as low risk, medium risk, high risk, extreme risk, etc.), and corresponding response measures and emergency plans are set for each level. Dynamic monitoring of gas pipeline leakage areas and accurate assessment of hazard levels can be achieved, providing strong guarantees for the safe operation of the gas transmission network.

[0083] According to some embodiments of the present invention, the further comprising:

[0084] A setting module, used to pre-set and number gas recovery devices of different powers within a preset range of a gas pipeline of a gas transmission network;

[0085] The control module is used to close the corresponding control valve and open all the gas recovery devices to recover the leaked gas when it is determined that the danger level of the gas transmission pipeline network is lower than the high-risk level.

[0086] The working principle and beneficial effects of the above technical solution: Based on the setting module, gas recovery devices of different powers are pre-set and numbered within the preset range of the gas pipeline of the gas transmission network. When a gas leak occurs, the gas can be recovered to avoid the waste of gas resources. When it is determined that the danger level of the gas transmission network is lower than the high-risk level, it means that it is currently in a controllable stage, and the corresponding control valve is closed to avoid continuous leakage of gas. All gas recovery devices are turned on to recover the leaked gas, so as to achieve rapid recovery of the leaked gas, avoid air pollution, avoid the waste of gas resources, and eliminate the safety hazards caused by gas leaks. Effectively improve the safety and efficiency of the gas transmission network, reduce the occurrence of leakage accidents, and reduce the impact on the environment.

[0087] According to some embodiments of the present invention, the present invention further includes: an adjustment module, configured to:

[0088] In the process of recovering the leaked gas, the dynamic concentration of the leaked gas is detected. When it is determined that the dynamic concentration is less than a threshold value, the value of the amount of leaked gas to be recovered within the time t is set, the opened gas recovery device is adjusted, and the device group of the opened gas recovery device is re-determined;

[0089] The gas recovery devices are numbered, set to i, i = 1, 2, 3, ... n, n is the maximum number of the gas recovery devices used for regulation; set P iis the power of the gas recovery device i when it is running, P is is the instantaneous power of starting the gas recovery device i, P is >P i ; Let F i For gas recovery device F i The value of the amount of gas that can be recovered during normal operation, F t is the value of the amount of leaked gas that needs to be recovered within time t;

[0090] Re-determine the device group S of the activated gas recovery device t for:

[0091]

[0092] The array() function represents array operations, and e is a natural constant; [P1, P2, …P n ] -T To transpose the matrix first and then invert it; β represents the saving effect factor when part of the gas recovery device is closed:

[0093] The gas recovery command is executed based on the device group of the re-determined activated gas recovery devices.

[0094] The working principle and beneficial effects of the above technical solution: During the process of recovering the leaked gas, the adjustment module will continuously monitor the dynamic concentration of the leaked gas. When the dynamic concentration drops below the preset threshold (indicating that there is little recoverable gas and the utilization rate is not high), the module will start the subsequent optimization process. According to the current dynamic concentration of the leaked gas, the module will set a value (F t ), then, the module will re-determine which gas recovery devices should be turned on according to this set value to form an optimal device group. When all the current gas recovery devices are turned on, while ensuring the processing capacity, turn off the devices with low instantaneous power, thereby reducing energy consumption and achieving accurate control of the gas recovery device, while ensuring the processing capacity and reducing energy consumption losses.

[0095] Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include these modifications and variations.

Claims

1. A monitoring and early warning system for a gas pipeline, characterized in that: include: An acquisition module, used to acquire a structural diagram of a gas transmission network; The first determination module is used to determine the main gas line and each gas branch line constituting the gas transmission network according to the structural diagram; A first monitoring module is used to monitor the gas pipeline of the main gas line by a mobile robot to obtain first monitoring information; A second monitoring module is used to monitor the gas branch based on the flow meter arranged on the gas channel of each gas branch to obtain second monitoring information; The early warning module is used to issue an early warning prompt when it is determined that there is a leak in the gas pipeline based on the first monitoring information and the second monitoring information.

2. The monitoring and early warning system for gas pipelines according to claim 1, characterized in that: The first monitoring module includes: A collection module, used for collecting sound signals at a location while the mobile robot moves on a gas pipeline of a gas main line; A second determination module is used to preprocess the sound signal, convert the preprocessed sound signal into a frequency domain signal, extract features from the frequency domain signal, and determine audio features; The first comparison module is used to compare the audio feature with the preset audio feature and obtain the first monitoring information according to the comparison information.

3. The monitoring and early warning system for gas pipelines according to claim 1, characterized in that: The second monitoring module includes: A construction module, used to obtain the position information of the flow meter arranged on the gas channel of the gas branch, and to construct a topological relationship diagram of the flow meter; Generate modules for: Get the flow information of each flow meter; Generate a flow loss data table based on the topological relationship diagram and the flow information of each flow meter; The second comparison module is used to compare the flow loss data table with the preset flow loss data table, and obtain the second monitoring information according to the comparison result.

4. The monitoring and early warning system for gas pipelines according to claim 3, characterized in that: The generation module generates a flow loss data table based on the topology diagram and the flow information of each flow meter, including: According to the topological relationship diagram, two adjacent flow meters are determined, and the difference in flow information between the two adjacent flow meters is calculated. The difference is divided by the flow information of the previous flow meter to obtain loss information, and the calculations are performed in sequence to generate a flow loss data table.

5. The monitoring and early warning system for gas pipelines according to claim 1, characterized in that: The early warning module is used to indicate that there is a leaking gas pipeline and issue an early warning prompt when it is determined that the audio feature matches the preset audio feature according to the first monitoring information and / or when it is determined that the flow loss data table does not match the preset flow loss data table according to the second monitoring information.

6. The monitoring and early warning system for gas pipelines according to claim 5, characterized in that: The early warning module is further used to generate closing instruction information for the corresponding branch control valve when it is determined according to the second monitoring information that the flow loss data table does not match the preset flow loss data table.

7. The monitoring and early warning system for gas pipelines according to claim 6, characterized in that: Also includes: Display module for: Obtain valve opening information after the branch control valve executes the closing instruction information, and compare it with the preset opening; When it is determined that the valve opening information is less than the preset opening, a prompt message indicating that the branch control valve is closed is generated and displayed.

8. The monitoring and early warning system for gas pipelines according to claim 1, characterized in that: Also includes: The third determination module is used to: Detecting the dynamic concentration of leaked gas in the leaking area of ​​the leaking gas pipeline; According to the dynamic concentration of leaked gas in each leakage area and the number of leakage areas, the preset data table is queried to determine the danger level of the gas transmission pipeline network and issue an early warning prompt of the corresponding level.

9. The monitoring and early warning system for gas pipelines according to claim 8, characterized in that: Also includes: A setting module, used to pre-set and number gas recovery devices of different powers within a preset range of a gas pipeline of a gas transmission network; The control module is used to close the corresponding control valve and open all the gas recovery devices to recover the leaked gas when it is determined that the danger level of the gas transmission pipeline network is lower than the high-risk level.

10. The monitoring and early warning system for gas pipelines according to claim 9, characterized in that: Also includes: Adjustment modules for: In the process of recovering the leaked gas, the dynamic concentration of the leaked gas is detected. When it is determined that the dynamic concentration is less than a threshold value, the value of the amount of leaked gas to be recovered within the time t is set, the opened gas recovery device is adjusted, and the device group of the opened gas recovery device is re-determined; The gas recovery devices are numbered, set to i, i = 1, 2, 3, ... n, n is the maximum number of the gas recovery devices used for regulation; set P i is the power of the gas recovery device i when it is running, P is is the instantaneous power of starting the gas recovery device i, P is >P i ; Let F i For gas recovery device F i The value of the amount of gas that can be recovered during normal operation, F t is the value of the amount of leaked gas that needs to be recovered within time t; Re-determine the device group S of the activated gas recovery device t for: The array() function represents array operations, and e is a natural constant; [P1, P2, …P n ] -T To transpose the matrix first and then invert it; β represents the saving effect factor when part of the gas recovery device is closed: The gas recovery command is executed based on the device group of the re-determined activated gas recovery devices.

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