CN112989535A - Water supply network pressure monitoring point optimal layout method based on pipe burst detection benefit - Google Patents
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Abstract
The invention discloses a water supply network pressure monitoring point optimal layout method based on pipe burst detection benefits, which comprises the following steps of: firstly, calculating pressure drop of different grades of pipe explosion of each pipeline in an EPANET by using a pipe network hydraulic model, and constructing a pipe explosion event coverage matrix according to a calculated pressure drop result; then, for a given number of water pressure monitoring points, establishing optimized water pressure monitoring point layout by taking the maximum pipe explosion event coverage rate as an objective function, and solving by adopting a distribution estimation algorithm, so as to determine the optimal layout of the monitoring points under the given number; and finally, taking the pipe explosion event coverage rate and the minimum detectable flow of the pipe explosion as pipe explosion detection precision indexes, and discussing the benefit relation between the number of the water pressure monitoring points and the pipe explosion detection precision. The method can effectively determine the number and the layout of the optimal benefit monitoring points, and further effectively solve the problems of the number of the water pressure monitoring points to be arranged and the layout in engineering practice.
Description
Technical Field
The invention belongs to the field of arrangement of monitoring points of an urban water supply network, and particularly relates to a water supply network pressure monitoring point optimal layout method based on pipe burst detection benefits.
Background
Pipe explosion can cause serious water resource waste and endanger the safe operation of a water supply system, and the method has important practical significance for timely detecting and repairing the pipe explosion. Because the water pressure of a pipe network is abnormally reduced during pipe bursting, the pipe bursting is detected by utilizing a pressure monitoring signal as one of important means. Theoretically, the more the monitoring points are arranged, the better the pipe explosion detection effect is, but due to the limitation of capital, only a certain number of monitoring points can be arranged in the pipe network, and therefore the layout of the monitoring points needs to be optimized. At present, the optimal arrangement method for water pressure monitoring points of a water supply network at home and abroad mainly comprises the following steps: the method comprises the steps of optimizing and arranging pressure monitoring points based on a cluster analysis method, optimizing and arranging pressure monitoring points based on a sensitivity analysis method, optimizing and arranging monitoring points based on an intelligent optimization algorithm (a genetic algorithm, a multi-objective genetic algorithm and the like) and optimizing and arranging newly added pressure monitoring points. Although the layout of the pressure monitoring points is optimized from different angles, the method does not take the pipe explosion detection as a research object and cannot reflect the relationship between the number of the pressure monitoring points and the pipe explosion detection benefit. Therefore, a water pressure monitoring point optimal layout method based on pipe explosion detection benefits is developed to reasonably determine the number and the positions of the monitoring points.
Disclosure of Invention
In order to solve the problem that the prior art cannot reflect the relation between the number of pressure monitoring points and the pipe explosion detection benefit, the invention provides a water supply network pressure monitoring point optimal layout method based on pipe explosion detection benefit.
The technical scheme of the invention is as follows:
disclosed is a water supply network pressure monitoring point optimal layout method based on pipe burst detection benefits. The method comprises the following steps:
(1) collecting basic data of a pipe network, and constructing a hydraulic model capable of accurately reflecting the real running state of the pipe network;
(2) performing hydraulic simulation by using EPANET software according to the pipe network hydraulic model constructed in the step (1), and recording the pressure value of each node under normal working conditions;
(3) adding a virtual node in the middle of each pipe section on the pipe network hydraulic model constructed in the step (1), setting different diffuser coefficients C on the virtual node to simulate pipe explosion of different levels, and recording the pressure value of each node under the condition of pipe explosion of different levels;
(4) comparing the pressure value of each node in the step (2) with the pressure value of each node in the step (3), calculating the pressure drop of each node of the pipe network, and comparing the pressure drop with the precision of a pressure monitor to obtain a 0-1 pipe explosion event coverage matrix;
(5) constructing a mathematical model with the purpose of maximizing the coverage rate of the pipe explosion event based on the pipe explosion event coverage matrix obtained in the step (4); solving by adopting a distribution estimation algorithm to obtain a series of optimized solution sets;
(6) and (5) discussing the benefit relation between the number of the water pressure monitoring points and the pipe burst detection precision by using the optimization result obtained in the step (5).
In the step (2), the state of low-pressure water power of a pipe network during pipe bursting is simulated by adopting a latest EPANET2 pressure driving model (PDA).
In the step (3), since the diffuser coefficient is related to the orifice diameter of the pipe network explosion, C is 0.003477d2C is the coefficient of the diffuser, d is the diameter of the orifice of the blast pipe; the diffuser coefficient was varied by varying the orifice diameter size to simulate different grade pipe bursts.
In the step (4), the node pressure when the pipe explosion of different grades occurs
(G is different grades of pipe explosion; n is the number of nodes of the pipe network) and normal working condition pressingForce of
And comparing, and respectively calculating the pressure drop of each node of the pipe network. If the pressure drop change is larger than the pressure monitor precision delta (delta is set according to an actual pipe network pressure detector), a value 1 is given to a pipe bursting node, and the pressure monitor can monitor the pipe bursting event; otherwise, 0 is given to the node, which indicates that the pressure monitor cannot detect the detonation event, and a 0-1 detonation event covering moment is constructed based on the 0-1 detonation event covering moment.
In the step (5), a basic principle of the layout of the water pressure monitoring points is to cover as many pipe bursting events as possible, that is, the limited number of water pressure monitoring points can detect as many pipe bursting events as possible. Based on the thought, the optimal layout of the water pressure monitoring points can be converted into the optimal problem of maximizing the pipe burst event coverage rate, and the mathematical model is as follows:
wherein S is the maximum pipe bursting coverage value;
the pipe explosion event of the j pipeline can be detected by the i monitoring point under the constraint condition; g is the pipe bursting grade of the pipeline; m is the number of the pipeline; j is the serial number of the pipeline; each pipe explosion event can be effectively detected by two monitoring points at the same time to serve as a constraint condition, and a mathematical model is solved through a distribution estimation algorithm to obtain a series of optimized solution sets.
And (6) taking the maximum coverage rate of the pipe explosion event and the minimum detectable flow rate of the pipe explosion as pipe explosion detection precision indexes. And defining the minimum detectable flow of pipe network pipe explosion as the sum of the minimum detectable pipe explosion flow of each pipeline/the total number of the pipelines, and reading the minimum detectable pipe explosion flow of each pipeline from the pipe explosion event coverage matrix. And obtaining the number and the layout of the monitoring points when the pipe network achieves the optimal benefit by discussing the benefit relation between the number of the water pressure monitoring points and the pipe explosion detection precision.
Compared with the prior art, the invention has the following advantages and beneficial effects:
(1) a pipe explosion event coverage matrix is obtained by analyzing pipe explosion pressure drop, an optimized mathematical model is constructed by taking the maximization of pipe explosion coverage as a target, the model is solved by adopting a distribution estimation algorithm, the processes can be realized by coding in MATLAB, and the method has the advantages of easiness in realization, high efficiency and the like.
(2) The method disclosed by the invention discusses the relation between the number of the monitoring points and the pipe burst detection benefit, and provides a reasonable number for how many monitoring points are arranged in the water supply network to achieve the optimal pipe burst detection benefit.
Drawings
FIG. 1 is a flow chart of an optimized arrangement scheme of pressure monitoring points
FIG. 2 is a flow chart of a model solving method of a distribution estimation algorithm
Detailed Description
For better understanding of the present invention, the following detailed description of the invention is given in conjunction with examples.
As shown in FIG. 1, the invention relates to a water supply network pressure monitoring point optimal layout method based on pipe burst detection benefit, which comprises the following steps:
the first step is as follows: the method comprises the steps of utilizing EPANET software to construct a hydraulic simulation model of the pipe network, and inputting basic information of the topological structure, the pipe diameter, the pipe length, the node elevation, the basic water demand of the node and the like of the pipe network when the model is constructed.
The second step is that: in order to accurately reflect the real hydraulic state of low pressure of the pipe network, a latest EPANET2 software pressure driving model (PDA) is adopted to carry out a pipe network hydraulic simulation experiment on the pipe network, and the pressure value of each node under a normal working condition is recorded.
The third step: virtual nodes are added in the middle of each pipe section on the pipe network topology model, and different diffuser coefficients C are set on the virtual nodes to simulate pipe explosion of different grades. Since the coefficient of the diffuser is related to the diameter of the orifice of the pipe network pipe burst, C is 0.003477d2C is the coefficient of the diffuser, d is the diameter of the orifice of the blast pipe; the diffuser coefficient was varied by varying the orifice diameter size to simulate different grade pipe bursts.
The fourth step: the node pressure (G is different-grade pipe burst; n is the number of pipe network nodes) when pipe burst occurs in different grades is compared with the pressure under normal working conditions, and the pressure drop of each node of the pipe network is respectively calculated. If the pressure drop change is greater than the pressure monitor precision, a value 1 is given to a pipe bursting node, and the pressure monitor can monitor the pipe bursting event at the point; otherwise, 0 is given to the node, which indicates that the pressure monitor cannot detect the detonation event, and a 0-1 detonation event coverage matrix is constructed based on the node, as shown in table 1.
TABLE 1 detonation event coverage matrix B
The fifth step: and (4) constructing a mathematical model based on the pipe bursting event coverage matrix and solving the mathematical model by using a distribution estimation algorithm. One basic principle of the layout of the water pressure monitoring points is to cover as many pipe bursting events as possible, namely, the limited number of water pressure monitoring points can detect as many pipe bursting events as possible. Based on the thought, the optimal layout of the water pressure monitoring points can be converted into the optimal problem of maximizing the pipe burst event coverage rate, and the mathematical model is as follows:
the constraint conditions are as follows (2), (3):
N＝X(r) (3)
s in the formula (1) is a maximum burst coverage value; the pipe explosion event of the j pipeline can be detected by the i monitoring point under the constraint condition; g is the pipe bursting grade of the pipeline; m is the number of the pipeline; j is the serial number of the pipeline; the detonation event coverage matrix is shown in table 1 for the elements in the detonation event coverage matrix. Formulas (2) and (3) are corresponding constraint conditions, wherein the formula (2) is used for ensuring that a pipe explosion event can be effectively detected by two monitoring points at the same time, which is beneficial to positioning the pipe explosion and improving the robustness of the pipe explosion detection, the formula (3) is used for limiting the number of monitors, N is the number of pressure monitoring points arranged in a pipe network, and X (r) is the row addition number of an initial population r.
And (3) coding a distribution estimation algorithm in MATLAB software according to the flow shown in figure 2, solving the pressure monitoring point optimized layout mathematical model, and obtaining a series of optimized solution sets.
And a sixth step: and discussing the benefit relation between the number of the water pressure monitoring points and the pipe explosion detection precision. And taking the maximum coverage rate of the pipe explosion event and the minimum detectable flow rate of the pipe explosion as the pipe explosion detection precision index. And defining the minimum detectable flow of pipe network pipe explosion as the sum of the minimum detectable pipe explosion flow of each pipeline/the total number of the pipelines, and reading the minimum detectable pipe explosion flow of each pipeline from the pipe explosion event coverage matrix. And analyzing the benefit relation between the number of the water pressure monitoring points and the pipe explosion detection precision according to the series of optimized solution sets obtained in the fifth step to obtain the number and the layout of the monitoring points when the pipe network achieves the optimal benefit.
Claims (6)
1. A water supply network pressure monitoring point optimal layout method based on pipe burst detection benefit is characterized by comprising the following steps:
(1) collecting basic information of a pipe network, and constructing a hydraulic model capable of accurately reflecting the real running state of the pipe network;
(2) performing hydraulic simulation by using EPANET software according to the pipe network hydraulic model constructed in the step (1), and recording the pressure value of each node under normal working conditions;
(3) adding a virtual node in the middle of each pipe section on the pipe network hydraulic model constructed in the step (1), setting different diffuser coefficients C on the virtual node to simulate pipe explosion of different levels, and recording the pressure value of each node under the condition of pipe explosion of different levels;
(4) comparing the pressure value of each node in the step (2) with the pressure value of each node in the step (3), calculating the pressure drop of each node of the pipe network, and comparing the pressure drop with the precision of a pressure monitor to obtain a 0-1 pipe explosion event coverage matrix;
(5) constructing a mathematical model with the purpose of maximizing the coverage rate of the pipe explosion event based on the pipe explosion event coverage matrix obtained in the step (4); solving by adopting a distribution estimation algorithm to obtain a series of optimized solution sets;
(6) and (5) discussing the benefit relation between the number of the water pressure monitoring points and the pipe burst detection precision by using the optimization result obtained in the step (5).
2. The method for optimizing the layout of the pressure monitoring points of the water supply network based on the pipe bursting detection benefit as claimed in claim 1, wherein in the step (2), the latest EPANET2 pressure driving model (PDA) is adopted to simulate the low-pressure hydraulic state of the water supply network during pipe bursting.
3. The method for optimizing the arrangement of the pressure monitoring points of the water supply pipe network based on the pipe explosion detection benefit according to claim 1, wherein in the step (3), as the coefficient of the diffuser is related to the diameter of the hole of the pipe explosion, C-0.003477 d2C is the coefficient of the diffuser, d is the diameter of the orifice of the blast pipe; the diffuser coefficient was varied by varying the orifice diameter size to simulate different grade pipe bursts.
4. The water supply pipe network pressure monitoring point optimal layout method based on pipe bursting detection benefits as claimed in claim 1, wherein in step (4), the node pressures of different levels of pipe bursting occur
(G is different grades of explosive tubes; n is the number of nodes of the pipe network) and the pressure under the normal working condition
And comparing, and respectively calculating the pressure drop of each node of the pipe network. If the pressure drop change is larger than the pressure monitor precision delta (delta is set according to an actual pipe network pressure detector), a value 1 is given to a pipe bursting node, and the pressure monitor can monitor the pipe bursting event; otherwise, assign 0 toThe node, representing the failure of the pressure monitor to detect the detonation event, builds a 0-1 detonation event cover moment based thereon.
5. The method for optimizing the layout of the pressure monitoring points of the water supply network based on the pipe bursting detection benefit as claimed in claim 1, wherein in the step (5), a basic principle of the layout of the water pressure monitoring points is to cover as many pipe bursting events as possible, namely, a limited number of water pressure monitoring points can detect as many pipe bursting events as possible. Based on the thought, the optimal layout of the water pressure monitoring points can be converted into the optimal problem of maximizing the pipe burst event coverage rate, and the mathematical model is as follows:
wherein S is the maximum pipe bursting coverage value;
the pipe explosion event of the j pipeline can be detected by the i monitoring point under the constraint condition; g is the pipe bursting grade of the pipeline; m is the number of the pipeline; j is the serial number of the pipeline; each pipe explosion event can be effectively detected by two monitoring points at the same time to serve as a constraint condition, and a mathematical model is solved through a distribution estimation algorithm to obtain a series of optimized solution sets.
6. The method for optimizing the layout of the pressure monitoring points of the water supply network based on the pipe bursting detection benefit according to claim 1, wherein in the step (6), the maximum coverage rate of the pipe bursting event and the minimum detectable flow rate of the pipe bursting are used as pipe bursting detection accuracy indexes. And defining the minimum detectable flow of pipe network pipe explosion as the sum of the minimum detectable pipe explosion flow of each pipeline/the total number of the pipelines, and reading the minimum detectable pipe explosion flow of each pipeline from the pipe explosion event coverage matrix. And obtaining the number and the layout of the monitoring points when the pipe network achieves the optimal benefit by discussing the benefit relation between the number of the water pressure monitoring points and the pipe explosion detection precision.
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| CN113446521A (en) * | 2021-06-25 | 2021-09-28 | 天津大学 | Tube burst positioning method based on transient flow |
| CN114659037A (en) * | 2022-03-30 | 2022-06-24 | 浙江大学 | Positioning method for pipe burst of urban water supply pipe network |
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