CN117744296B - Floyd algorithm-based design method with minimum pipe network energy surplus ratio - Google Patents
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Abstract
The invention belongs to the field of water supply network design, and discloses a method for designing a minimum energy surplus ratio of a network based on a Floyd algorithm, which comprises the following steps: establishing a hydraulic model of a water supply network; finding out water supply key points of a local area of a pipe network; calculating a path with the shortest distance from each key point to a water source by using a Floyd algorithm as a water delivery main pipe; setting the energy surplus ratioIs a target value of (2); respectively determining the pipe diameters of the water delivery main pipe, other points from each key point to the service range of the water delivery main pipe and the pipe diameters of the connecting pipes; judging whether three least favorable working conditions are met; and calculating the energy surplus ratio of the pipe network, and adjusting the pipe diameter until the energy surplus ratio meets the set target value. According to the invention, the energy surplus of the pipe network is further evaluated by determining the design method of the optimal combination of pipe diameters of all pipe sections, so that the economy and energy surplus comparison of different design schemes of the pipe network and the determination of the optimal scheme are guided.
Description
Technical Field
The invention belongs to the field of water supply network design, and provides a design method with minimum energy surplus ratio of a pipe network based on a Floyd algorithm.
Background
The water supply and distribution network is an important component of urban drinking water engineering, along with the continuous expansion of the range of the water supply network and the increase of the long-distance water supply and distribution engineering, the proportion of the water supply network cost in the whole water supply system is larger and larger, and is generally 50% -80% of the total investment of the whole engineering, and the planning and design of the network system directly affect the engineering investment and the operation management cost. The reasonable optimization of the design of the water supply network system has important significance for saving engineering investment, ensuring sustainable operation of engineering and improving economic and social benefits of engineering.
The traditional water supply network design method is based on the specifications of outdoor water supply design standard, urban water supply engineering planning specification and the like, a designer preliminarily sets pipe diameters according to experience according to the primary and secondary relations of pipe sections, calculates according to the water consumption at the highest day and highest in the design year, further determines the pipe diameters according to economic flow rates after determining the flow rates of all pipe sections, calculates the diameters, head loss and water pump lift of all pipe sections, and calculates whether the pipe diameters and the water pump lift determined according to the highest water consumption can meet the water consumption and water pressure requirements under the following three water consumption conditions through pipe network adjustment on the basis of the pipe diameters: 1. when the least unfavorable pipe section fails; 2. when in fire fighting; 3. maximum transfer (when there is a water tower in the pipe network). It can be seen that: the traditional design method mainly focuses on whether a control point reaches a minimum service water head or not, and does not consider the rationality of pipe diameter selection and the running cost of a pipe network after construction on the whole, often because of the level difference of different designers, the design scheme can be modified for many times in the design process, a great deal of labor cost is consumed, certain limitation exists, the result is not an optimal solution, and a large optimization space is often also available. Optimization of water supply networks typically minimizes network construction and operating costs. Firstly, minimizing construction cost allocated annually in a pipe network investment repayment period, namely minimizing pipe diameters of all pipe sections in the pipe network; secondly, the operation cost is minimized, namely the pipe diameters of all pipe sections in the pipe network are maximized, so that the head loss is reduced, the two design targets are contradictory, comprehensive consideration is needed, and the cost calculation Value at the beginning of the whole life cycle of the pipe network is minimized, namely the financial net present Value (FINANCIAL NET PRESENT Value, FNPV) is minimized.
From the above analysis, it can be known that the conventional design method has the following problems in actual operation:
(1) The designer usually selects the pipe diameter by experience, and then obtains the head loss of pipe network, and the manmade nature is stronger, does not consider the relation of pipe diameter and pipe network cost and running power expense on the whole, often hardly guarantees the economic optimum of pipe network design scheme.
(2) The pipe diameter selected according to the economic flow rate can only ensure the optimal single pipe diameter, but cannot ensure the overall optimal pipe network, so that the pipe network has larger surplus energy in actual operation and higher operation cost.
Based on this, the invention provides a design method of a water supply pipe network based on the cost of the whole life cycle, which is characterized in that maintenance and management problems after the pipe network is built are considered in the design stage, the pipe diameter of each pipe section is optimized based on the economic flow rate, and then the energy surplus of the pipe network is comprehensively evaluated, so that the running cost after the pipe network is built is estimated, and the aim of minimizing the total cost of the pipe network in the whole life cycle of engineering is achieved.
Disclosure of Invention
The water supply network optimization is mainly performed in the aspects of planning, design, operation management and the like, so that the network optimization study comprises a network system optimization arrangement study, an optimization design study and an optimization scheduling study. The pipe network arrangement research is to reasonably plan the line arrangement of the pipe network and the pipe section connection among all nodes, and the pipe network arrangement optimization is the basis of pipe diameter optimization.
The invention aims to solve the problems that in the prior art, the economic optimum of a pipe network design scheme is difficult to ensure, the surplus energy of the pipe network in actual operation is large, and the operation cost is high. Therefore, the invention provides a design method for the minimum energy surplus ratio of a pipe network based on a Floyd algorithm, which aims at the situation that the arrangement form of the pipe network is determined, and the energy surplus of the pipe network is further evaluated by determining the design method of the optimal combination of pipe diameters of all pipe sections according to the hydraulic calculation result of the pipe network so as to guide the economy of different design schemes of the pipe network, the energy surplus comparison and the determination of the optimal scheme.
The technical scheme adopted for solving the technical problems is as follows:
The design method for the minimum energy surplus ratio of the pipe network based on the Floyd algorithm comprises the following steps:
step one, defining the water consumption range, the road network and the topological structure of the water supply network, and establishing a hydraulic model of the water supply network;
analyzing the data of each node in the water supply network by using a GIS tool, and finding out points with higher terrain elevation than other surrounding points in the network, namely water supply key points of the network;
step three, abstracting a pipe network into an undirected graph consisting of pipe sections and nodes, and calculating a path with the shortest distance from each key point to a water source by using a Floyd algorithm to serve as a water delivery main from the water source to the key points;
step four, setting an energy surplus ratio Is a target value of (2);
step five, determining the pipe diameter of a main water delivery pipe in the water supply network based on the economic flow rate;
Step six, determining pipe diameters from each key point of the pipe network to other points in the service range based on the economic flow rate;
step seven, determining the pipe diameter of a branch-shaped and tail-end connecting pipe in a pipe network;
Step eight, performing adjustment calculation on the pipe network, enabling the least adverse point to meet the requirement of the minimum service head by adjusting the water supply capacity of a water plant, judging whether the pipe network meets three least adverse working conditions of the least adverse pipe section when faults occur, when fire protection occurs and when the pipe network is provided with a water tower, if yes, performing the next step, if not, finely adjusting the pipe diameter of each pipe section, and re-performing pipe network adjustment calculation to enable the pipe network to meet the three least adverse working conditions;
Step nine, calculating the energy surplus ratio of the pipe network Judging whether the calculated energy surplus ratio meets the target value set in the step four; if yes, a feasible design scheme is adopted; if not, re-optimizing the design of the target pipe network, and adjusting the pipe diameter from the fifth step until the energy surplus ratio meets the set target value.
Preferably, the path with the shortest distance from the water supply key point to the water source calculated in the third step is defined as a setI=1 to n, n is the number of water supply key points of the pipe network, namely: the collection of the water delivery main pipe is/>. The pipe diameter determining method of the water delivery main pipe comprises the following steps:
Collecting water delivery main pipes The pipe diameter in the water pipe is taken downwards from the maximum value in the pipe diameter range of the available commercial water supply pipe, so that the maximum pipe diameter is the designed pipe diameter of the main water delivery pipe when the economic flow rate of the selected pipe diameter is larger than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after pipe network adjustment calculation is carried out.
Preferably, in the sixth step, the method for determining the pipe diameters from each key point of the pipe network to other points in the service range of the pipe network is as follows:
If the terrain gradient j from a certain key point to other points in the service range is close to 0, taking down the maximum value in the pipe diameter range of the available commercial water supply pipe, so that the maximum pipe diameter is the designed pipe diameter when the economic flow rate of the selected pipe diameter is larger than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after pipe network adjustment calculation is carried out;
If the slope j of the terrain from a certain key point to other points in the service range is far greater than 0, calculating the pipe diameter D according to the relation between the slope j of the terrain and the pipe diameter D, and rounding the pipe diameter which is greater than D and closest to D in the pipe diameter range of the available commercial water supply pipe.
Preferably, in the seventh step, the branch-shaped and terminal connecting pipes in the pipe network are generally unimportant water delivery paths, and the pipe diameters of the branch-shaped and terminal connecting pipes are DN 100-150.
Preferably, in step nine, the energy surplus ratio of the pipe networkThe calculation method of (2) is as follows:
The energy surplus ratio Is the surplus energy/>, of all nodes in a pipe networkAnd effective energy/>Ratio of (2), namely:
in the formula, effective energy/> The minimum required energy, in kW, is delivered to the user at all nodes of the network by the amount of water.
Wherein the effective energy isCalculated as follows:
The surplus energy is the difference value between the energy of all nodes in the pipe network and the effective energy, the unit is kW, and the surplus energy is calculated according to the following formula:
In the above-mentioned method, the step of, The minimum service water head, m, is used for each node in the pipe network; /(I)The flow of each node in the pipe network is m 3/s; /(I)The free water head of each node in the pipe network is m; /(I)Is the density of water, 1000kg/m 3; /(I)Gravitational acceleration, 9.81m/s 2; /(I)Is the gravity of water, 9800N/m 3; /(I)Is the total number of nodes in the pipe network.
At the energy surplus ratioIn the calculation formula of (2), the numerator is the surplus energy of all nodes, and the denominator is the effective energy of all nodes, and the energy surplus ratio/>The lower the value of (2), the lower the surplus energy of the water supply network, and the more energy-saving the network.
Compared with the prior art, the invention has the beneficial effects that:
1. compared with the traditional design method, the method not only considers the water delivery characteristic of the pipe network, but also considers the overall energy conservation, obtains the optimal pipe diameter combination scheme, utilizes the energy surplus ratio to evaluate the capacity surplus condition of the whole water supply pipe network conveniently, rapidly and reliably, predicts the running cost of the built pipe network, ensures that the result is more reasonable and more persuasive, provides guidance and reference for the pressure control, pipe explosion early warning and leakage reduction of the pipe network, and is beneficial to promoting the efficient communication between water supply designers and water supply enterprise personnel;
2. Compared with the existing methods for optimizing the pipe network by utilizing the algorithms, the method has reliable theoretical basis, does not need repeated iterative solution of complex algorithms, and therefore has the advantages of low algorithm convergence rate, easiness in sinking into local optimal solutions, poor result reliability and the like.
3. The method can be applied to pipe diameter optimization of a large-scale water supply pipe network, has strong operability, can quickly determine the pipe diameters of all pipe sections in the pipe network, improves the design efficiency of the pipe network, and simultaneously considers the overall operation cost of the pipe network.
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For a clearer description of the technical solutions of the embodiments of the present invention, the drawings that are needed in the description of the embodiments will be briefly introduced below, it being obvious that the drawings in the description below are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art, wherein:
Fig. 1 is a flow chart of a design method with minimum pipe network energy surplus ratio based on the Floyd algorithm.
Detailed Description
It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In addition, the technical solutions of the embodiments may be combined with each other, but it is necessary to base that the technical solutions can be realized by those skilled in the art, and when the technical solutions are contradictory or cannot be realized, the combination of the technical solutions should be considered to be absent and not within the scope of protection claimed in the present invention.
As shown in figure 1, the invention provides a design method with minimum pipe network energy surplus ratio based on Floyd algorithm, which comprises the following steps:
S1, establishing a hydraulic model of a water supply network: and (3) defining the water use range, the road network and the topological structure of the water supply network, and establishing a hydraulic model of the water supply network. When the hydraulic model is built, the actual pipe network is simplified, the municipal main pipe is reserved, and a plurality of pipelines which are secondary and have small influence on hydraulic conditions are omitted, so that the generalized hydraulic model of the pipe network is built, and the actual water consumption condition can be basically reflected.
S2, finding out water supply key points of a water supply network: and analyzing the data of each node in the water supply network by using a GIS tool, and finding out the points with the terrain elevation higher than other surrounding points in the network, namely the water supply key points of the network.
S3, determining a path of the water delivery main pipe: the pipe network is abstracted into an undirected graph consisting of pipe sections and nodes, and a shortest distance from each key point to the water source is calculated by using a Floyd algorithm and is used as a water delivery main from the water source to the key points. Wherein: the Floyd algorithm is a classical algorithm for calculating the shortest path between two points in the graph theory problem, is suitable for a graph with dense nodes, and comprises the following specific steps:
1) Starting from any single-side path, the distance between all two points is the weight of the edge, and if no edge is connected between the two points, the weight is infinite;
2) For each pair of vertices u and v, see if there is one vertex w (commonly referred to as a midpoint) such that the path from u to w to v is shorter than known; if so, it is updated.
3) The traversal is completed, at which point the data structure storing the graph obtains the multi-source shortest path.
Defining the path with the shortest distance from the water supply key point to the water source as a setI=1 to n, n is the number of water supply key points of the pipe network, namely: the collection of the water delivery main pipe is/>。
S4, setting an energy surplus ratioIs set to a target value of (1).
Determining the pipe diameters of all pipe sections of a pipe network: the traditional pipe network design method is characterized in that after the design flow of each pipe section of the pipe network is determined, the proper flow rate is determined according to the use conditions of pipes with different specifications in the area where the engineering is located, then the economic pipe diameter is calculated according to a flow rate-pipe diameter formula, and finally the pipe diameter is corrected according to the standard specification. In the method for determining the pipe diameter of the economic flow rate, the economic flow rate is greatly influenced by local pipe price, service life, construction cost and power price factors, and when the pipe price is lower and the power cost is higher, the economic flow rate should be selected to be a smaller value; otherwise, a larger value should be selected. When the flow speed range is determined, the upper limit of the flow speed meets the requirement of preventing the water hammer of the pipe network, and the maximum design flow speed is not more than 2.5-3 m/s; the lower flow rate limit meets the requirement of preventing fouling, the minimum flow rate is usually not less than 0.6m/s, and the average economic flow rate of the pressure flow pipe network ranges from 0.6m/s to 0.9m/s. The pipe diameter of each pipe section is preferably determined by the economic flow rate, and the pipe diameter is specifically as follows:
S5, determining the pipe diameter of a main water delivery pipe in the water supply network: collecting water delivery main pipes The pipe diameter in the water pipe is taken downwards from the maximum value in the pipe diameter range of the available commercial water supply pipe, such as: DN800, DN700, … …, so that the maximum pipe diameter is the design pipe diameter of the main pipe of the water delivery when the economic flow rate of the selected pipe diameter is greater than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after the pipe network adjustment calculation is carried out.
S6, determining pipe diameters from each key point of the pipe network to other points in the service range of the pipe network: if the terrain slope j from a critical point to other points within its service range is near 0 (i.e., flat slope), then the maximum value in the range of available commercial water supply pipe diameters is taken down, such as: DN800, DN700 and … …, so that the maximum pipe diameter is the designed pipe diameter when the economic flow rate of the selected pipe diameter is greater than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after pipe network adjustment calculation is carried out; if the slope j of the terrain from a certain key point to other points in the service range is far greater than 0, calculating the pipe diameter D according to the relation between the slope j of the terrain and the pipe diameter D, and rounding the pipe diameter which is greater than D and closest to D in the pipe diameter range of the available commercial water supply pipe.
S7, determining the pipe diameter of a branch-shaped and terminal connecting pipe in a pipe network: the branch-shaped and terminal connecting pipes in the pipe network are generally unimportant water delivery paths, and the pipe diameter of the branch-shaped and terminal connecting pipes can be DN 100-150 so as to reduce the investment of the pipe network.
S8, performing adjustment calculation on the pipe network, enabling the least adverse point to meet the requirement of the minimum service water head by adjusting the water supply capacity of the water plant, judging whether the pipe network meets three least adverse working conditions of the least adverse pipe section when the most adverse pipe section breaks down, when the fire is extinguished and when the maximum transmission is carried out (when a water tower exists in the pipe network), if yes, performing the next step, and if not, fine-tuning the pipe diameter of each pipe section, and performing pipe network adjustment calculation again to enable the pipe network to meet the three least adverse working conditions.
S9, calculating the energy surplus ratio of the pipe networkJudging whether the calculated energy surplus ratio meets the target value set in the step five or not; if yes, a feasible design scheme is adopted; if not, re-optimizing the design of the target pipe network, and starting from S5, adjusting the pipe diameter, for example: the pipe diameter of the original DN800 is changed into DN1000 until the energy surplus ratio meets the set target value.
Energy surplus ratio of pipe networkThe calculation method of (2) is as follows:
after the hydraulic model of the water supply network is built and adjusted, part of the non-effective energy in the network is the energy which is more than the minimum service water head of all nodes, namely the ratio of the surplus energy of all nodes in the network to the effective energy is used as the energy surplus ratio of the network. Thus, the energy surplus ratio Is the surplus energy/>, of all nodes in a pipe networkAnd effective energy/>The ratio of (2) is:
in the formula, effective energy/> The minimum required energy, in kW, is delivered to the user at all nodes of the network by the amount of water.
Wherein the effective energy isCalculated as follows:
The surplus energy Energy for all nodes in a pipe network/>And effective energy/>In kW, calculated as:
In the above-mentioned method, the step of, The minimum service water head, m, is used for each node in the pipe network; /(I)The flow of each node in the pipe network is m 3/s; /(I)The free water head of each node in the pipe network is m; /(I)Is the density of water, 1000kg/m 3; /(I)Gravitational acceleration, 9.81m/s 2; /(I)Is the gravity of water, 9800N/m 3; /(I)Is the total number of nodes in the pipe network.
Thus, the energy surplus ratio in the pipe networkThe calculation mode of (a) is as follows: surplus energy/>, of all nodes in pipe networkAnd effective energy/>Ratio of (2), namely:
In the above formula, the numerator is the energy surplus of all nodes, and the denominator is the effective energy surplus ratio of all nodes The lower the value of (2), the lower the surplus energy of the water supply network, and the more energy-saving the network.
The foregoing description is only illustrative of the present invention and is not intended to limit the scope of the invention, and all equivalent structures or equivalent processes or direct or indirect application in other related arts are included in the scope of the present invention.
Claims (8)
1. A design method for minimum energy surplus ratio of a pipe network based on a Floyd algorithm is characterized by comprising the following steps: the method comprises the following steps:
step one, defining the water consumption range, the road network and the topological structure of the water supply network, and establishing a hydraulic model of the water supply network;
step two, using a GIS tool to find out water supply key points of a local area of the pipe network;
step three, abstracting a pipe network into an undirected graph consisting of pipe sections and nodes, and calculating a path with the shortest distance from each key point to a water source by using a Floyd algorithm to serve as a water delivery main from the water source to the key points;
step four, setting an energy surplus ratio Is a target value of (2);
The energy surplus ratio Is the surplus energy/>, of all nodes in a pipe networkAnd effective energy/>Wherein the effective energy/>Minimum required energy delivered to the user by water quantity at all nodes for the pipe network; surplus energy/>Energy for all nodes in a pipe network/>And effective energy/>Is a difference in (2);
step five, determining the pipe diameter of a main water delivery pipe in the water supply network based on the economic flow rate;
Step six, determining pipe diameters from each key point of the pipe network to other points in the service range based on the economic flow rate;
step seven, determining the pipe diameter of a branch-shaped and tail-end connecting pipe in a pipe network;
Step eight, performing adjustment calculation on the pipe network, enabling the least adverse point to meet the requirement of the minimum service head by adjusting the water supply capacity of a water plant, judging whether the pipe network meets three least adverse working conditions of the least adverse pipe section when the most adverse pipe section fails, the fire-fighting time and the maximum transmission time, if yes, performing the next step, and if not, fine-tuning the pipe diameter of each pipe section, and re-performing pipe network adjustment calculation to enable the pipe network to meet the three least adverse working conditions;
Step nine, calculating the energy surplus ratio of the pipe network Judging whether the calculated energy surplus ratio meets the target value set in the step four; if yes, a feasible design scheme is adopted; if not, re-optimizing the design of the target pipe network, and adjusting the pipe diameter from the fifth step until the energy surplus ratio meets the set target value.
2. The design method according to claim 1, wherein: in the second step, the water supply key points are nodes with the elevation of each terrain being larger than that of other surrounding points in the water supply network.
3. The design method according to claim 1, wherein: defining the path with the shortest distance from the water supply key point to the water source calculated in the third step as a setI=1 to n, n is the number of water supply key points of the pipe network, namely: the collection of the water delivery main pipe is/>。
4. A design method according to claim 3, characterized in that: in the fifth step, the pipe diameter determining method of the main pipe for water delivery is as follows:
Collecting water delivery main pipes The pipe diameter in the water pipe is taken downwards from the maximum value in the pipe diameter range of the available commercial water supply pipe, so that the maximum pipe diameter is the designed pipe diameter of the main water delivery pipe when the economic flow rate of the selected pipe diameter is larger than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after pipe network adjustment calculation is carried out.
5. The design method according to claim 1, wherein: in the sixth step, the pipe diameter determining method from each key point of the pipe network to other points in the service range of the pipe network is as follows:
If the terrain gradient j from a certain key point to other points in the service range is close to 0, taking down the maximum value in the pipe diameter range of the available commercial water supply pipe, so that the maximum pipe diameter is the designed pipe diameter when the economic flow rate of the selected pipe diameter is larger than 0.6m/s of the lower limit of the average economic flow rate range of the pipe network after pipe network adjustment calculation is carried out;
If the slope j of the terrain from a certain key point to other points in the service range is far greater than 0, calculating the pipe diameter D according to the relation between the slope j of the terrain and the pipe diameter D, and rounding the pipe diameter which is greater than D and closest to D in the pipe diameter range of the available commercial water supply pipe.
6. The design method according to claim 1, wherein: in the seventh step, DN 100-150 is taken from the diameter of the branch-shaped and terminal connecting pipes in the pipe network.
7. The design method according to claim 1, wherein: the effective energyCalculated as follows:
in the/> The minimum service water head, m, is used for each node in the pipe network; the flow of each node in the pipe network is m 3/s; /(I) Is the density of water, 1000kg/m 3; /(I)Gravitational acceleration, 9.81m/s 2; /(I)Is the gravity of water, 9800N/m 3; /(I)Is the total number of nodes in the pipe network.
8. The design method according to claim 1, wherein: the surplus energyEnergy for all nodes in a pipe network/>And effective energy/>In kW, calculated as:
in the/> The minimum service water head, m, is used for each node in the pipe network; /(I)The flow of each node in the pipe network is m 3/s; /(I)The free water head of each node in the pipe network is m; /(I)Is the gravity of water, 9800N/m 3; /(I)Is the total number of nodes in the pipe network.
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