A speed regulator oil pump early warning method, device, electronic equipment and storage medium

By collecting and analyzing the start time and operation interval time of the speed controller oil pump, building a feature library and calculating the limit value, and achieving automated early warning, solving the problems of large workload and long analysis cycle in the existing technology, and being able to detect abnormalities in a timely manner.

CN116006382BActive Publication Date: 2025-08-15STATE GRID ELECTRIC POWER RES INST +3
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Patent Information

Application Number
CN202211662986.X
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-12-23
Publication Date
2025-08-15
Estimated Expiration
2042-12-23

AI Technical Summary

Technical Problem

In the prior art, the operation monitoring of the speed controller oil pump relies on manual statistics monthly analysis reports, resulting in large workload, long analysis cycle and inability to detect abnormalities in time.

Method used

By collecting the start time and operation interval time of the speed controller oil pump, a feature library is built and the limit value is calculated to achieve an automated early warning mechanism.

Benefits of technology

It reduces manual workload, shortens the analysis cycle, and can promptly detect abnormalities in the speed controller oil pump.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention discloses a speed regulator oil pump early warning method, device, electronic device, and storage medium, belonging to the field of pumped storage technology. The method comprises: collecting the start time and operating interval of the speed regulator oil pump; preprocessing the start time and operating interval and constructing a feature library; calculating the over-limit value of the start time and operating interval based on the feature library; and analyzing the over-limit condition of the speed regulator oil pump based on the over-limit value and issuing a corresponding early warning. This method can solve the problems of high workload, long analysis cycle, and failure to detect abnormalities in the prior art.
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Description

Technical Field

[0001] The present invention relates to a speed regulator oil pump early warning method, device, electronic equipment and storage medium, and belongs to the technical field of pumped storage. Background Art

[0002] The governor's oil pressure system, combined with the gas system, provides control and operating pressure oil for the governor's oil pressure regulating device in a pumped-storage power station. This system provides energy for the governor's water-control mechanism. Therefore, ensuring sufficient oil pressure in the oil pressure tank is crucial. The governor's oil pump is the hydraulic energy device that provides safe, reliable, and stable operating oil pressure to the governor. Therefore, monitoring the operating status of the governor's oil pressure system pump is crucial.

[0003] To monitor the operation of the governor oil pump in the pumped-storage power station's governor oil pressure system, the industry typically compiles a monthly governor system analysis report to collect statistics on the governor oil pump's startup time and the governor oil pump's operating intervals. These monthly analysis reports include the average governor oil pump operating time, maximum pump operating time, average pump operating intervals, and minimum pump operating intervals within a month. Experienced industry experts compare the current month's governor system analysis report with the previous month's to analyze and assess the governor oil pressure system's operating status.

[0004] Currently, the industry mainly adopts the method of compiling monthly analysis reports on the speed regulator system, combined with the analysis and judgment of industry experts, to realize the operation monitoring of the speed regulator oil pump of the speed regulator pressure oil system of the pumped storage power station. The main disadvantages of this method include: the monthly analysis report requires a large amount of manual statistics of the corresponding information, which increases the workload of the operation and maintenance personnel; the monthly analysis report statistical cycle is once a month, and the analysis cycle is too long to detect system anomalies in time; the monthly analysis report only manually detects system anomalies through statistical methods, and cannot detect abnormal operation status of a single device. Summary of the Invention

[0005] The purpose of the present invention is to provide a governor oil pump early warning method, device, electronic equipment and storage medium to solve the problems of large workload, long analysis cycle and failure to detect abnormalities in the prior art.

[0006] In order to achieve the above object, the present invention provides the following technical solutions:

[0007] In a first aspect, the present invention provides a governor oil pump early warning method, comprising:

[0008] Collect the start time and running interval time of the governor oil pump;

[0009] Preprocessing the startup time and the running interval time, and building a feature library based on the preprocessed startup time and the running interval time;

[0010] Calculating the over-limit values of the startup time and the running interval time according to the feature library;

[0011] According to the over-limit value, the over-limit situation of the speed governor oil pump is analyzed and a corresponding warning is issued.

[0012] In combination with the first aspect, further, collecting the start time and operation interval time of the governor oil pump includes:

[0013] Monitor the governor oil pump's operating signal after the governor oil pump is in automatic working mode and the unit remains in generating state or pumping state for 30 minutes;

[0014] The time interval when the operation signal is 1 is collected as the start time of the governor oil pump;

[0015] The time interval when the operation signal is 0 is collected as the operation interval time of the speed regulator oil pump.

[0016] In combination with the first aspect, further, preprocessing the startup time and the running interval time, and constructing a feature library based on the preprocessed startup time and the running interval time includes:

[0017] Screening the start time and the running interval time;

[0018] Compile the filtered startup time and running interval time to obtain a startup time set and a running interval time set;

[0019] Calculating the normal distribution mean and standard deviation of the startup time set and the running interval time set respectively;

[0020] The feature library is composed of the screened startup time and running interval time as well as the calculated normal distribution mean and standard value.

[0021] In combination with the first aspect, further, screening the startup time and the running interval time includes:

[0022] Compare the startup time with a preset startup time upper limit; if the startup time is less than the startup time upper limit, retain the startup time; otherwise, remove the startup time;

[0023] The operation interval time is compared with a preset operation interval time upper limit. If the operation interval time is less than the operation interval time upper limit, the operation interval time is retained; otherwise, the operation interval time is discarded.

[0024] In combination with the first aspect, further, when the screened startup time and operation interval time are reorganized, the reorganized time interval is greater than 1 month.

[0025] In combination with the first aspect, further, the over-limit value includes: a first over-limit value of the startup time, a second over-limit value of the startup time, a first over-limit value of the running interval time, and a second over-limit value of the running interval time;

[0026] The calculation formula of the first over-limit value of the startup time is shown in formula (1):

[0027] V r1 =μ r +3σ r (1)

[0028] In formula (1), V r1 is the first over-limit value of the startup time, μ r is the mean of the normal distribution of the startup time set, σ r is the standard deviation of the startup time set;

[0029] The calculation formula of the second over-limit value of the startup time is shown in formula (2):

[0030] V r2 =μ r +2σ r (2)

[0031] In formula (2), V r2 The second over-limit value of the start time;

[0032] The calculation formula of the first over-limit value of the running interval time is shown in formula (3):

[0033] V s1 =μ s -3σ s (3)

[0034] In formula (3), V s1 is the first over-limit value of the running interval time, μ s is the mean of the normal distribution of the running interval time set, σ s is the standard deviation of the set of running intervals;

[0035] The calculation formula of the second over-limit value of the running interval time is shown in formula (4):

[0036] V s2 =μ s -2σ s (4)

[0037] In formula (4), V s2 It is the second limit value of the running interval time.

[0038] In combination with the first aspect, further analyzing the over-limit situation of the speed governor oil pump according to the over-limit value and issuing a corresponding warning includes:

[0039] Comparing the collected startup time with a first over-limit value of the startup time; if the startup time is greater than the first over-limit value, issuing a warning that the startup time of the speed regulator oil pump is too long; otherwise, comparing the startup time with a second over-limit value of the startup time; if the startup time is greater than the second over-limit value of the startup time twice in a row, issuing a warning that the startup time of the speed regulator oil pump is too long;

[0040] The collected running interval time is compared with the first over-limit value of the running interval time. If the running interval time is less than the first over-limit value of the running interval time, an early warning that the running time of the speed regulator oil pump is too short is issued. Otherwise, the running interval time is compared with the second over-limit value of the running interval time. If the running interval time is less than the second over-limit value of the running interval time for two consecutive times, an early warning that the running interval time of the speed regulator oil pump is too short is issued.

[0041] In a second aspect, the present invention provides a speed regulator oil pump early warning device, comprising:

[0042] Collection module: used to collect the start time and running interval time of the speed regulator oil pump;

[0043] A preprocessing module is used to preprocess the startup time and the running interval time, and to construct a feature library based on the preprocessed startup time and the running interval time;

[0044] An over-limit value calculation module is used to calculate the over-limit values of the startup time and the running interval time according to the feature library;

[0045] Early warning module: used for analyzing the over-limit situation of the speed regulator oil pump according to the over-limit value and making corresponding early warning.

[0046] In a third aspect, the present invention provides an electronic device including a processor and a storage medium;

[0047] The storage medium is used to store instructions;

[0048] The processor is configured to operate according to the instructions to execute the steps of the method according to any one of the first aspects.

[0049] In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of any one of the methods described in the first aspect.

[0050] Compared with the prior art, the present invention has the following beneficial effects:

[0051] The speed regulator oil pump early warning method provided by the present invention collects the start time and operating interval time of the speed regulator oil pump to obtain a feature library containing the mean and standard deviation of the normal distribution, and analyzes the over-limit situation of the speed regulator oil pump through the feature library, thereby making corresponding early warnings. This method can solve the problems of large personnel workload, long analysis cycle and undetectable anomalies in the existing technology. BRIEF DESCRIPTION OF THE DRAWINGS

[0052] Figure 1 This is a flow chart of a governor oil pump early warning method provided by an embodiment of the present invention;

[0053] Figure 2 This is a specific flow chart of the governor oil pump issuing an early warning provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0054] The technical solution of this patent is further described in detail below in conjunction with specific implementation methods.

[0055] The embodiments of the present invention are described in detail below. Examples of the embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention and are not to be construed as limiting the present invention. In the absence of conflict, the embodiments of the present invention and the technical features in the embodiments may be combined with each other.

[0056] Example 1:

[0057] Figure 1 This is a flow chart of a governor oil pump warning method provided by the first embodiment of the present invention. This flow chart only shows the logical sequence of the method of this embodiment. Under the premise of no conflict, in other possible embodiments of the present invention, different methods can be used. Figure 1 The steps shown or described are accomplished in the order shown.

[0058] The speed regulator oil pump early warning method provided in this embodiment can be applied to a terminal and can be executed by a speed regulator oil pump early warning device. The device can be implemented by software and / or hardware. The device can be integrated into a terminal, for example, any tablet computer or computer device with communication function. Figure 1 The method of this embodiment specifically includes the following steps:

[0059] Step 1: Collect the start time and running interval time of the governor oil pump;

[0060] The steps to collect the start time and running interval time of the governor oil pump include the following:

[0061] Step A: Monitor the governor oil pump's operating signal after the governor oil pump is in automatic working mode and the unit remains in generating state or pumping state for 30 minutes;

[0062] Step B: Collect the time interval when the operation signal is 1 as the start time of the governor oil pump;

[0063] Step C: Collect the time interval when the operation signal is 0 as the operation interval time of the speed regulator oil pump.

[0064] Step 2: Preprocess the startup time and the running interval time, and build a feature library based on the preprocessed startup time and the running interval time;

[0065] Preprocessing the startup time and the running interval time and building a feature library based on the preprocessed startup time and the running interval time includes the following steps:

[0066] Step a: Screen the start time and running interval time;

[0067] Screening the startup time and run interval time includes the following steps:

[0068] Step i: Compare the startup time with the preset startup time upper limit. If the startup time is less than the startup time upper limit, retain the startup time; otherwise, remove the startup time.

[0069] Step II: Compare the running interval time with the preset upper limit of the running interval time. If the running interval time is less than the upper limit of the running interval time, retain the running interval time; otherwise, discard the running interval time.

[0070] Step b: compile the filtered startup time and running interval time to obtain a startup time set and a running interval time set;

[0071] When the filtered start time and operation interval time are compiled, the compiled time interval is greater than 1 month.

[0072] Step c: Calculate the normal distribution mean and standard deviation of the startup time set and the running interval time set respectively;

[0073] Step d: The filtered startup time and running interval time as well as the calculated normal distribution mean and standard value together constitute a feature library.

[0074] Step 3: Calculate the threshold values of the startup time and the running interval time based on the feature library;

[0075] The over-limit values include: the first over-limit value of the start time, the second over-limit value of the start time, the first over-limit value of the running interval time and the second over-limit value of the running interval time;

[0076] The calculation formula of the first over-limit value of the startup time is shown in formula (1):

[0077] V r1 =μ r +3σ r (1)

[0078] In formula (1), V r1 is the first over-limit value of the startup time, μ r is the mean of the normal distribution of the startup time set, σ r is the standard deviation of the startup time set;

[0079] The calculation formula of the second over-limit value of the startup time is shown in formula (2):

[0080] V r2 =μ r +2σ r (2)

[0081] In formula (2), V r2 The second over-limit value of the start time;

[0082] The calculation formula for the first over-limit value of the operating interval time is shown in formula (3):

[0083] V s1 =μ s -3σ s (3)

[0084] In formula (3), V s1 is the first over-limit value of the running interval time, μ s is the mean of the normal distribution of the running interval time set, σ s is the standard deviation of the set of running intervals;

[0085] The calculation formula for the second over-limit value of the operating interval time is shown in formula (4):

[0086] V s2 =μ s -2σ s (4)

[0087] In formula (4), V s2 It is the second limit value of the running interval time.

[0088] Step 4: Analyze the over-limit situation of the governor oil pump based on the over-limit value and issue a corresponding warning;

[0089] Analyze the governor oil pump's over-limit situation based on the over-limit value and issue a corresponding warning, including the following steps:

[0090] Step I: Compare the collected start time with the first over-limit value of the start time. If the start time is greater than the first over-limit value, a warning is issued that the start time of the speed regulator oil pump is too long. Otherwise, compare the start time with the second over-limit value of the start time. If the start time is greater than the second over-limit value of the start time twice in a row, a warning is issued that the start time of the speed regulator oil pump is too long.

[0091] Step II: Compare the collected running interval time with the first over-limit value of the running interval time. If the running interval time is less than the first over-limit value of the running interval time, a warning is issued that the running time of the speed regulator oil pump is too short. Otherwise, compare the running interval time with the second over-limit value of the running interval time. If the running interval time is less than the second over-limit value of the running interval time for two consecutive times, a warning is issued that the running interval time of the speed regulator oil pump is too short.

[0092] like Figure 2 As shown, combined with step 1, the start time and running interval time of the governor oil pump are collected, and the collected start time is expressed as T r , the collected running interval time is expressed as T s After preprocessing the startup time and running interval, building the feature library, and calculating the limit value, the detailed steps for analyzing the limit situation and issuing corresponding warnings are as follows:

[0093] S1: Monitor the speed governor oil pump. If the speed governor oil pump is in automatic working mode, enter S2. Otherwise, repeat S1.

[0094] S2: Monitor the unit. If the unit maintains power generation or pumping status for 30 minutes, it will enter S3 and S6 simultaneously. Otherwise, it will return to S1.

[0095] S3: T r With V r1 For comparison, if T r >V r1 , then a warning is issued that the governor oil pump startup time is too long, and the process goes to S9; otherwise, the process goes to S4;

[0096] S4: T r With V r2 For comparison, if T r >V r2 , then the governor oil pump start time is too long times N r Add 1 and go to S5, otherwise go to S9;

[0097] S5: N r Compare with number 2, if N r =2, then the governor oil pump start time is too long warning, and N rClear to zero and then enter S9, otherwise, enter S9 directly;

[0098] S6: T s With V s1 For comparison, if T s <V s1 , then a warning is issued that the governor oil pump operation interval is too short and the process goes to S9; otherwise, the process goes to S7;

[0099] S7: T s With V s2 For comparison, if T s <V s2 , then the governor oil pump running interval is too short for the number N s Add 1 and go to S8, otherwise go to S9;

[0100] S8: N s Compare with number 2, if N s =2, a warning is issued for the governor oil pump to operate for a short time interval, and N s Clear to zero and then enter S9, otherwise, enter S9 directly;

[0101] S9: Monitor the unit. If the generating state and pumping state of the unit disappear, return to S1. Otherwise, return to S3 and S6 at the same time.

[0102] The speed regulator oil pump early warning method provided in this embodiment collects the start time and operating interval time of the speed regulator oil pump to obtain a feature library containing the mean and standard deviation of the normal distribution. The feature library is then used to analyze the over-limit situation of the speed regulator oil pump, thereby issuing a corresponding early warning. This method can solve the problems of heavy workload, long analysis cycle, and undetectable anomalies in the prior art.

[0103] Example 2:

[0104] This embodiment provides a speed regulator oil pump early warning device, including:

[0105] Collection module: used to collect the start time and running interval time of the speed regulator oil pump;

[0106] Preprocessing module: used to preprocess the startup time and running interval time, and build a feature library based on the preprocessed startup time and running interval time;

[0107] Over-limit value calculation module: used to calculate the over-limit values of the startup time and the running interval time according to the feature library;

[0108] Early warning module: used to analyze the over-limit situation of the governor oil pump according to the over-limit value and make corresponding early warning.

[0109] The speed regulator oil pump early warning device provided in the embodiment of the present invention can execute the speed regulator oil pump early warning method provided in any embodiment of the present invention, and has the corresponding functional modules and beneficial effects of the execution method.

[0110] Example 3:

[0111] This embodiment provides an electronic device, including a processor and a storage medium;

[0112] The storage medium is used to store instructions;

[0113] The processor is configured to operate according to the instructions to execute the steps of the method in the first embodiment.

[0114] Example 4:

[0115] This embodiment provides a computer-readable storage medium on which a computer program is stored. When the program is executed by a processor, the steps of the method in the first embodiment are implemented.

[0116] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to magnetic disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.

[0117] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the steps in the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0118] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 a process or multiple processes and / or boxes Figure 1 The function specified in one or more boxes.

[0119] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0120] The above is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the technical principles of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims

1. A speed governor oil pump early warning method, characterized in that: include: Collect the start time and running interval time of the governor oil pump; Preprocessing the startup time and the running interval time, and constructing a feature library based on the preprocessed startup time and the running interval time, including: screening the startup time and the running interval time; organizing the screened startup time and the running interval time to obtain a startup time set and a running interval time set; respectively calculating the normal distribution mean and standard deviation of the startup time set and the running interval time set; and constructing the feature library from the screened startup time and the running interval time and the calculated normal distribution mean and standard value; Calculate the threshold values of the startup time and the running interval time based on the feature library; Analyze the governor oil pump's over-limit situation based on the over-limit value and issue corresponding warnings; The over-limit values include: the first over-limit value of the start time, the second over-limit value of the start time, the first over-limit value of the running interval time and the second over-limit value of the running interval time; The calculation formula of the first over-limit value of the startup time is shown in formula (1): (1); In formula (1), The first over-limit value of the startup time, is the normal distribution mean of the startup time set, is the standard deviation of the startup time set; The calculation formula for the second over-limit value of the startup time is shown in formula (2): (2); In formula (2), The second over-limit value of the start time; The calculation formula for the first over-limit value of the operating interval time is shown in formula (3): (3); In formula (3), The first over-limit value of the running interval time, is the mean of the normal distribution of the running interval time set, is the standard deviation of the set of running intervals; The calculation formula for the second over-limit value of the operating interval time is shown in formula (4): (4); In formula (4), It is the second limit value of the running interval time.

2. The governor oil pump early warning method according to claim 1, characterized in that: The start time and running interval time of the speed governor oil pump are collected including: Monitor the governor oil pump's operating signal after the governor oil pump is in automatic working mode and the unit remains in generating state or pumping state for 30 minutes; The time interval when the operation signal is 1 is collected as the start time of the governor oil pump; The time interval when the operation signal is 0 is collected as the operation interval time of the speed regulator oil pump.

3. The governor oil pump early warning method according to claim 1, characterized in that: Screening the start time and the run interval time includes: Compare the startup time with a preset startup time upper limit; if the startup time is less than the startup time upper limit, retain the startup time; otherwise, remove the startup time; The operation interval time is compared with a preset operation interval time upper limit. If the operation interval time is less than the operation interval time upper limit, the operation interval time is retained; otherwise, the operation interval time is discarded.

4. The governor oil pump early warning method according to claim 1, characterized in that: When the filtered start time and operation interval time are compiled, the compiled time interval is greater than 1 month.

5. The governor oil pump early warning method according to claim 1, characterized in that: Analyze the over-limit situation of the speed governor oil pump according to the over-limit value and issue corresponding warnings, including: Comparing the collected startup time with a first over-limit value of the startup time; if the startup time is greater than the first over-limit value, issuing a warning that the startup time of the speed regulator oil pump is too long; otherwise, comparing the startup time with a second over-limit value of the startup time; if the startup time is greater than the second over-limit value of the startup time twice in a row, issuing a warning that the startup time of the speed regulator oil pump is too long; The collected running interval time is compared with the first over-limit value of the running interval time. If the running interval time is less than the first over-limit value of the running interval time, an early warning that the running time of the speed regulator oil pump is too short is issued. Otherwise, the running interval time is compared with the second over-limit value of the running interval time. If the running interval time is less than the second over-limit value of the running interval time for two consecutive times, an early warning that the running interval time of the speed regulator oil pump is too short is issued.

6. A speed governor oil pump early warning device, characterized in that: include: Collection module: used to collect the start time and running interval time of the speed regulator oil pump; Preprocessing module: used to preprocess the startup time and running interval time, and build a feature library based on the preprocessed startup time and running interval time, including: filtering the startup time and running interval time; compiling the filtered startup time and running interval time to obtain a startup time set and a running interval time set; calculating the normal distribution mean and standard deviation of the startup time set and the running interval time set respectively; the filtered startup time and running interval time and the calculated normal distribution mean and standard value together form a feature library; Over-limit value calculation module: used to calculate the over-limit value of the startup time and the running interval time according to the feature library; Early warning module: used to analyze the over-limit situation of the governor oil pump according to the over-limit value and issue corresponding early warning; The over-limit values include: the first over-limit value of the start time, the second over-limit value of the start time, the first over-limit value of the running interval time and the second over-limit value of the running interval time; The calculation formula of the first over-limit value of the startup time is shown in formula (1): (1); In formula (1), The first over-limit value of the startup time, is the normal distribution mean of the startup time set, is the standard deviation of the startup time set; The calculation formula for the second over-limit value of the startup time is shown in formula (2): (2); In formula (2), The second over-limit value of the start time; The calculation formula for the first over-limit value of the operating interval time is shown in formula (3): (3); In formula (3), The first over-limit value of the running interval time, is the mean of the normal distribution of the running interval time set, is the standard deviation of the set of running intervals; The calculation formula for the second over-limit value of the operating interval time is shown in formula (4): (4); In formula (4), It is the second limit value of the running interval time.

7. An electronic device, characterized in that: including processors and storage media; The storage medium is used to store instructions; The processor is configured to operate according to the instructions to execute the steps of the method according to any one of claims 1 to 5.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed by a processor, the steps of the method according to any one of claims 1 to 5 are implemented.

Citation Information

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