TWI704314B - A method for constructing partially cut pipe network hydraulic model - Google Patents

A method for constructing partially cut pipe network hydraulic model Download PDF

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TWI704314B
TWI704314B TW108118981A TW108118981A TWI704314B TW I704314 B TWI704314 B TW I704314B TW 108118981 A TW108118981 A TW 108118981A TW 108118981 A TW108118981 A TW 108118981A TW I704314 B TWI704314 B TW I704314B
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water
hydraulic model
pipe network
flow
time change
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TW202045852A (en
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黃佑仲
顏辰安
陳姿穎
魏欽益
陳建霖
簡聰富
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台灣優化水務股份有限公司
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Abstract

The present invention relates to a method for constructing partially cut pipe network hydraulic model. It comprises the following steps of connecting a plurality of inlet/outlet nodes of a hydraulic model to a virtual pool; calculating first flow time variation mode of the virtual pool; measuring second flow time variation mode and second pressure time variation mode of a plurality of inlet/outlet nodes of a water supply network and subtracting a leakage flow from the second flow time variation mode to obtain the third flow time variation mode; comparing the first flow time variation mode and the third flow time variation mode for correcting a basic water-using flow and a water-using mode of the hydraulic model; analyzing pressure difference of the hydraulic model for correcting pipe roughness coefficient of the hydraulic model; and analyzing a pressure value of the plurality of nodes of the corrected hydraulic model and an actual measured pressure value to obtain a water leakage point of the water supply network.

Description

一種部分切割的管網水力模型建構方法A method of constructing partially cut pipe network hydraulic model

本發明係有關於一種部分切割的管網水力模型建構方法,係能模擬實際供水管網的管路環境,並根據於供水管網所量測到的流量時間變化模式及壓力時間變化模式,修正水力模型的環境參數,藉此,以預測出供水管網中的漏水位置。 The present invention relates to a method for constructing a partially cut hydraulic model of a pipe network, which can simulate the actual pipeline environment of the water supply pipe network, and modify it according to the measured flow time change pattern and pressure time change pattern of the water supply pipe network The environmental parameters of the hydraulic model are used to predict the location of water leakage in the water supply network.

根據統計全球平均漏水率35%,因此如何有效降低漏水率成為21世紀供水行業的重要課題。對此國際水協IWA(International Water Association)提出一套完整的供水管網漏損控制策略,根據該漏控策略可將大型供水管網切割成許多計量分區,稱之為分區計量DMA(District Metered Area),並在進水處安裝流量計,透過進水處流量計與所有用戶水表的用水計量差異,估算漏水量,並尋找供水管網漏水點。 According to statistics, the global average leakage rate is 35%, so how to effectively reduce the leakage rate has become an important issue for the water supply industry in the 21st century. In this regard, the International Water Association (IWA) proposed a complete set of water supply pipeline network leakage control strategies. According to the leakage control strategy, the large-scale water supply pipeline network can be cut into many metering zones, which is called District Metered DMA (District Metered Area), and install a flow meter at the water inlet, estimate the amount of water leakage through the difference between the flow meter at the water inlet and the water meter of all users, and find the leakage point of the water supply pipe network.

中國專利公告號CN 107355688「一種LeakView城鎮供水管網漏損控制管理系統」,其將供水管網形成一級分區、二級分區、DMA、用戶末端多級用水單位分區管理模式,各個用水單位通過水平衡測試進行科學管理,通過供水管網漏損對壓力響應機制,制定節水效果和經濟匹配性最優的壓力調控策略,漏損噪聲在線監測用終端噪聲監測設備替代人工聽漏,將噪聲以數據的形式展現,通過關鍵數據比對分析,找到疑似漏失存在的區域。 Chinese Patent Announcement No. CN 107355688 "A LeakView urban water supply pipe network leakage control management system", which forms the water supply pipe network into a first-level partition, a second-level partition, DMA, and a user-end multi-level water unit partition management mode. Each water unit passes water The balance test is scientifically managed, and the pressure response mechanism of the leakage of the water supply pipe network is used to formulate a pressure regulation strategy with the best water-saving effect and economic matching. On-line monitoring of leakage and noise uses terminal noise monitoring equipment to replace artificial hearing leakage, and the noise is used as data Through the comparison and analysis of key data, the suspected missing areas are found.

前案專利主要是在發現管網漏損時,能提供適當的水壓,使用戶有足夠的水量可以使用,然而,其對漏水點的判斷,係以噪音來分析,聽漏作業的監測設備需要額外設置於管網中,以蒐集每條管線的噪聲數據,其設備係會增加整體之成本,且噪聲係容易受到環境之影響,而失去分析的精準度。 The previous patent is mainly to provide proper water pressure when the pipe network leakage is found, so that the user has enough water to use. However, the judgment of the leakage point is based on the noise analysis and the monitoring equipment for the leakage operation. It needs to be additionally installed in the pipe network to collect the noise data of each pipeline. The equipment will increase the overall cost, and the noise will be easily affected by the environment and lose the accuracy of the analysis.

今,發明人即是鑑於上述現有之管網漏水分析方法於實際實施使用時仍具有多處缺失,於是乃一本孜孜不倦之精神,並藉由其豐富專業知識及多年之實務經驗所輔佐,而加以改善,並據此研創出本發明。 Today, the inventor is based on the fact that the above-mentioned existing pipe network leakage analysis method still has many shortcomings in actual implementation and use, so it is a tireless spirit, supplemented by his rich professional knowledge and years of practical experience, and Improve, and develop the present invention accordingly.

本發明主要目的為提供一種部分切割的管網水力模型建構方法,其透過流體力學原理將供水管網建置成一個水力模型,並藉由比較供水管網之流量與壓力時間變化模式與水力模型之流量與壓力時間變化模式,修正水力模型之模擬參數,以模擬出供水管網的漏水位置。 The main purpose of the present invention is to provide a partially cut pipe network hydraulic model construction method, which constructs the water supply pipe network into a hydraulic model through the principle of fluid mechanics, and compares the water supply pipe network's flow and pressure time change pattern with the hydraulic model The time change mode of flow and pressure is used to modify the simulation parameters of the hydraulic model to simulate the leakage position of the water supply network.

為了達到上述實施目的,本發明一種部分切割的管網水力模型建構方法,其分析方法係由部分切割之供水管網(例如DMA)建立一水力模型,將水力模型之複數個進/出水節點連接一虛擬水池;以預設之模型參數,進行水力模型之模擬分析,計算虛擬水池進/出水口之一第一流量時間變化模式;量測或預測供水管網之複數個進/出水節點的一第二流量時間變化模式與第二壓力時間變化模式,將第二流量時間變化模式扣除供水管網之漏水流量,得一第三流量時間變化模式;將第一流量時間變化模式與第三流量時間變化模式進行比較,以修正水力模型預先設定之複數個基礎用水流量與一用水模式;將水力模型之複數個節點進行壓力差異分析,以修正水力模型預先設定之一管線粗糙係數;以及根據修正後之水力模 型,模擬複數個節點的壓力值並與實測壓力值進行分析比較,而獲得供水管網之漏水點,又根據步驟六修正後之該水力模型,計算出該虛擬水池出水口之一第四流量時間變化模式;其中根據該第二流量時間變化模式與該第四流量時間變化模式,配合該第二壓力時間變化模式係能分析獲得漏水敏感度N1。 In order to achieve the above-mentioned implementation objectives, the present invention is a method for constructing a partially cut pipe network hydraulic model. The analysis method is to establish a hydraulic model from a partially cut water supply pipe network (such as DMA), and connect a plurality of water inlet/outlet nodes of the hydraulic model A virtual pool; the simulation analysis of the hydraulic model is carried out with the preset model parameters, and the first flow time change mode of one of the inlet/outlet ports of the virtual pool is calculated; one of the plural inlet/outlet nodes of the water supply pipe network is measured or predicted The second flow time change mode and the second pressure time change mode, the second flow time change mode is subtracted from the water leakage flow of the water supply pipe network to obtain a third flow time change mode; the first flow time change mode and the third flow time The change mode is compared to modify a plurality of basic water flow rates and a water mode preset by the hydraulic model; the pressure difference analysis is performed on a plurality of nodes of the hydraulic model to modify a pipeline roughness coefficient preset by the hydraulic model; and Hydraulic model Model, simulates the pressure values of multiple nodes and analyzes and compares them with the actual pressure values to obtain the water leakage point of the water supply pipe network, and calculate the fourth flow rate of one of the outlets of the virtual pool according to the hydraulic model after the correction in step 6 Time change mode; wherein according to the second flow time change mode and the fourth flow time change mode, in conjunction with the second pressure time change mode, the water leakage sensitivity N1 can be obtained by analysis.

於本發明之一實施例中,預設之模型參數為複數個基礎用水流量、用水模式、管線尺寸、管線粗糙係數以及操作設備的參數與操作條件。 In an embodiment of the present invention, the preset model parameters are a plurality of basic water flow rates, water usage patterns, pipeline sizes, pipeline roughness coefficients, and operating equipment parameters and operating conditions.

於本發明之一實施例中,供水管網具有複數個節點、複數個進/出水節點及複數個設置於複數個進/出水節點之流量計或壓力計。 In an embodiment of the present invention, the water supply pipe network has a plurality of nodes, a plurality of water inlet/outlet nodes, and a plurality of flow meters or pressure gauges arranged at the plurality of water inlet/outlet nodes.

於本發明之一實施例中,第二流量時間變化模式與第二壓力時間變化模式係藉由複數個流量計與壓力計量測獲得。 In an embodiment of the present invention, the second flow rate time change mode and the second pressure time change mode are obtained by a plurality of flow meters and pressure measurement.

於本發明之一實施例中,透過機器學習、時間序列模型,或安裝於複數個進/出水節點之流量計或壓力計,預測或量測出該水力模型之虛擬水池壓力時間變化模式。 In one embodiment of the present invention, through machine learning, time series models, or flowmeters or pressure gauges installed at a plurality of water inlet/outlet nodes, the time variation mode of the virtual pool pressure of the hydraulic model is predicted or measured.

於本發明之一實施例中,第二流量時間變化模式可透過時間序列模型或神經網路預測模型計算而獲得。 In an embodiment of the present invention, the second flow rate time variation mode can be obtained by calculation through a time series model or a neural network prediction model.

於本發明之一實施例中,水力模型係能進一步分析出供水管網之水齡分布情形及水齡指標。 In one embodiment of the present invention, the hydraulic model system can further analyze the water age distribution and water age indicators of the water supply pipe network.

於本發明之一實施例中,水力模型中複數個進/出水節點連接之虛擬水池,可用一虛擬水泵或一虛擬用水節點替代;其中該虛擬水泵,係藉由安裝於一進水節點之流量計與壓力計量測之資料,獲得該虛擬水泵之流量與壓力關係曲線,再以該流量與壓力關係曲線進行管網模擬;該虛擬用水節點係藉由安裝於一出水節點之流量計量測之資料,獲得該虛擬用水節點之用水流量時間變化曲線,再 以該用水流量時間變化曲線進行管網模擬。 In one embodiment of the present invention, the virtual pool connected to a plurality of water inlet/outlet nodes in the hydraulic model can be replaced by a virtual water pump or a virtual water node; wherein the virtual water pump is installed by the flow rate of an inlet node Obtain the flow and pressure relationship curve of the virtual pump based on the data of the meter and pressure measurement, and then use the flow and pressure relationship curve to simulate the pipe network; the virtual water node is measured by a flow meter installed at an outlet node Data, obtain the water flow time change curve of the virtual water node, and then The pipe network is simulated based on the time change curve of the water flow.

於本發明之一實施例中,將兩個修正後且相鄰的水力模型以一連接節點取代邊界上的虛擬水池、虛擬水泵或虛擬用水節點,並以連接節點將兩個修正後的水力模型之管線連接。 In one embodiment of the present invention, two modified and adjacent hydraulic models are replaced with a connecting node for the virtual pool, virtual water pump or virtual water use node on the boundary, and the two modified hydraulic models are replaced by the connecting node. The pipeline connection.

(1):供水管網 (1): Water supply network

(11):漏水點 (11): Leakage point

(2):水力模型 (2): Hydraulic model

(3):進/出水節點 (3): Water inlet/outlet node

(4):節點 (4): Node

第一圖:本發明其較佳實施例之供水管網示意圖。 Figure 1: A schematic diagram of the water supply pipe network of the preferred embodiment of the present invention.

第二圖:本發明其較佳實施例之大型管網水力模型示意圖。 Figure 2: A schematic diagram of a large-scale pipe network hydraulic model of the preferred embodiment of the present invention.

第三圖:本發明其較佳實施例之大型管網中切割出的區域管網圖。 Figure 3: A diagram of the regional pipe network cut out of the large pipe network of the preferred embodiment of the present invention.

第四圖:本發明其較佳實施例之預設用水模式圖。 Figure 4: A diagram of the preset water consumption mode of the preferred embodiment of the present invention.

第五圖:本發明其較佳實施例之供水管網虛擬水池進/出水流量時間變化圖。 Figure 5: Time change diagram of the water inlet/outlet flow of the virtual pool of the water supply pipe network in the preferred embodiment of the present invention.

第六圖:本發明其較佳實施例之供水管網虛擬水池進/出水壓力時間變化圖。 Figure 6: Time change diagram of the water inlet/outlet pressure of the virtual pool of the water supply pipe network in the preferred embodiment of the present invention.

第七圖:本發明其較佳實施例之修正後用水模式圖。 Figure 7: Modified water mode diagram of the preferred embodiment of the present invention.

第八圖:本發明其較佳實施例之水齡分析雙進/出水節點管網圖。 Figure 8: The water age analysis double inlet/outlet node pipe network diagram of the preferred embodiment of the present invention.

第九圖:本發明其較佳實施例之節點壓力差比較圖。 Figure ninth: a comparison diagram of the node pressure difference of the preferred embodiment of the present invention.

第十圖:本發明其較佳實施例之節點水齡比較圖。 Figure 10: Comparison of node water age in the preferred embodiment of the present invention.

本發明之目的及其結構功能上的優點,將依據以下圖面所示之結構,配合具體實施例予以說明,俾使審查委員能對本發明有更深入且具體之瞭解。 The purpose of the present invention and its structural and functional advantages will be described based on the structure shown in the following drawings and specific embodiments, so that the review committee can have a deeper and specific understanding of the present invention.

請參閱第一圖,本發明一種部分切割的管網水力模型(第三圖)建構方法,其包含有步驟一:由部分切割之供水管網(1)建立一水力模型(2),將水力模型(2)之複數個進/出水節點(3)連接一虛擬水 池;步驟二:以預設之模型參數,即係透過設定的複數個基礎用水流量、用水模式、管線尺寸、管線粗糙係數以及操作設備的參數與操作條件,去進行水力模型(2)之模擬分析,計算虛擬水池進/出水口之一第一流量時間變化模式,其中基礎用水流量以每一用戶平均每小時用水量乘以總用戶數計算獲得,用水模式係指複數個節點(4)用水流量隨時間變化之模式;步驟三:量測或預測供水管網(1)之複數個進/出水節點(3)的一第二流量時間變化模式與一第二壓力時間變化模式,將第二流量時間變化模式扣除供水管網(1)之漏水流量,得一第三流量時間變化模式;步驟四:將第一流量時間變化模式與第三流量時間變化模式進行比較,以修正水力模型(2)預先設定之複數個基礎用水流量與一用水模式;步驟五:將水力模型(2)之複數個節點(4)進行壓力差異分析,以修正水力模型(2)預先設定之一管線粗糙係數;以及步驟六:根據修正後之水力模型(2),模擬複數個節點(4)的壓力值並與實測壓力值進行分析比較,而獲得供水管網(1)之漏水點(11)。 Please refer to the first figure. A method for constructing a partially cut pipe network hydraulic model (the third figure) of the present invention includes step one: establish a hydraulic model (2) from the partially cut water supply pipe network (1), and combine the hydraulic Multiple water inlet/outlet nodes (3) of model (2) are connected to a virtual water Pool; Step 2: Use the preset model parameters to simulate the hydraulic model (2) by setting multiple basic water flow rates, water usage patterns, pipeline sizes, pipeline roughness coefficients, and operating equipment parameters and operating conditions Analyze and calculate the first flow time change pattern of one of the water inlets/outlets of the virtual pool. The basic water flow is calculated by multiplying the average hourly water consumption of each user by the total number of users. The water consumption mode refers to multiple nodes (4). The flow rate changes over time; Step 3: Measure or predict a second flow rate time change mode and a second pressure time change mode of a plurality of water inlet/outlet nodes (3) of the water supply pipe network (1), and set The flow time change mode subtracts the leakage flow of the water supply pipe network (1) to obtain a third flow time change mode; Step 4: Compare the first flow time change mode with the third flow time change mode to modify the hydraulic model (2 ) Pre-set multiple basic water flow rates and a water use mode; Step 5: Perform pressure difference analysis on multiple nodes (4) of the hydraulic model (2) to correct a preset pipeline roughness coefficient of the hydraulic model (2); And step 6: According to the revised hydraulic model (2), the pressure values of multiple nodes (4) are simulated and compared with the measured pressure values to obtain the water leakage point (11) of the water supply network (1).

再根據步驟六修正後之水力模型,計算出虛擬水池進/出水口之一第四流量時間變化模式,藉由第二流量時間變化模式與第四流量時間變化模式,配合第二壓力時間變化模式係能分析獲得漏水敏感度,此為供水管網(1)水壓管理的重要指標;而本水力模型(2)亦能進一步分析出供水管網(1)之水齡分布情形。 Then according to the revised hydraulic model in step 6, calculate the fourth flow time change mode of one of the virtual water inlet/outlet of the virtual pool. The second flow time change mode and the fourth flow time change mode are matched with the second pressure time change mode. The system can analyze the water leakage sensitivity, which is an important indicator of water pressure management in the water supply network (1); and this hydraulic model (2) can also further analyze the water age distribution of the water supply network (1).

其中,供水管網(1)還具有複數個設置於複數個進/出水節點(3)之流量計與壓力計,水力模型(2)可透過機器學習、時間序列模型,或該安裝於複數個進/出水節點(3)之流量計或壓力計,預測或量測出該水力模型(2)之虛擬水池壓力時間變化模式。 Among them, the water supply pipe network (1) also has a plurality of flow meters and pressure gauges installed in a plurality of water inlet/outlet nodes (3), and the hydraulic model (2) can be installed in a plurality of The flow meter or pressure gauge of the water inlet/outlet node (3) predicts or measures the time change mode of the virtual pool pressure of the hydraulic model (2).

另,水力模型(2)中多個進/出水節點(3)連接的虛擬水池,可用一虛擬水泵或一虛擬用水節點替代;其中虛擬水泵,是藉由安裝 於一進水節點的流量計與壓力計量測的數據,獲得虛擬水泵的流量與壓力關係曲線,再以流量與壓力關係曲線進行管網模擬;虛擬用水節點是藉由安裝於一出水節點的流量計量測的數據,獲得虛擬用水節點的用水流量時間變化曲線,再以用水流量時間變化曲線進行管網模擬。又,可將兩個修正後且相鄰的水力模型(2)以一連接節點取代邊界上的虛擬水池,並以所述連接節點將兩個修正後的切割模型之管線連接。 In addition, in the hydraulic model (2), the virtual pool connected to the multiple water inlet/outlet nodes (3) can be replaced by a virtual water pump or a virtual water node; among them, the virtual water pump is installed The flowmeter and pressure measurement data of a water inlet node are used to obtain the flow and pressure relationship curve of the virtual water pump, and then the flow and pressure relationship curve is used to simulate the pipe network; the virtual water node is installed at an outlet node The data measured by the flowmeter is used to obtain the water flow time change curve of the virtual water use node, and then use the water flow time change curve to simulate the pipe network. In addition, two modified and adjacent hydraulic models (2) can be replaced with a connecting node to replace the virtual pool on the boundary, and the pipelines of the two modified cutting models can be connected by the connecting node.

此外,藉由下述具體實施例,可進一步證明本發明可實際應用之範圍,但不意欲以任何形式限制本發明之範圍。 In addition, the following specific examples can further prove the scope of practical application of the present invention, but it is not intended to limit the scope of the present invention in any form.

請參閱第一圖與第二圖,其中供水管網(1)可為大型管網切割出的一塊區域,其中具有漏水點(11)之供水管網(1)如第一圖所示,位於節點(4)N9與N5之間的E點,即為漏水點(11),本發明一種管網漏水的水力模型(2)分析方法即係要尋找出供水管網(1)內的漏水點(11);首先,第三圖為由大型管網中切割出的區域管網,係以水力模型(2)模擬供水管網(1)之樣式,由於無法得知漏水點(11)之位置,因此圖中不包含漏水點之模擬,其中進/出水節點(3)會連接一虛擬水池,透過時間序列模型與機器學習,壓力計能夠預測或量測出水力模型(2)之虛擬水池壓力時間變化模式,配合預設的複數個基礎用水流量、用水模式、管線尺寸、管線粗糙係數以及操作設備的參數與操作條件,進行該切割出供水管網(1)的水力模型(2)模擬。 Please refer to the first and second figures, where the water supply pipe network (1) can be an area cut out of a large pipe network, and the water supply pipe network (1) with a leaking point (11) is located in the The point E between the node (4) N9 and N5 is the water leakage point (11). The hydraulic model (2) analysis method of the pipe network leakage of the present invention is to find the water leakage point in the water supply pipe network (1) (11); First of all, the third picture is a regional pipe network cut out of a large pipe network, which is based on the hydraulic model (2) to simulate the style of the water supply pipe network (1), because the location of the leaking point (11) is not known , So the figure does not include the simulation of the water leakage point, where the water inlet/outlet node (3) will be connected to a virtual pool. Through the time series model and machine learning, the pressure gauge can predict or measure the virtual pool pressure of the hydraulic model (2) Time change mode, in conjunction with a plurality of preset basic water flow, water use mode, pipeline size, pipeline roughness coefficient, and operating equipment parameters and operating conditions, perform the hydraulic model (2) simulation of the cut water supply network (1).

時間序列模型在實施時間序列統計分析時,以連續19個星期一壓力數據進行多項式迴歸分析,其相關係數R2=0.8948,吻合效果相當理想,再以迴歸方程式,預測第20個星期一的壓力數據,並與實測的第20個星期一的壓力數據平均值比較,所得第20個星期一的平均誤差僅為0.01984%,標準差僅為0.01339%,參考 表1。 When implementing time series statistical analysis, the time series model uses the pressure data of 19 consecutive Mondays to perform polynomial regression analysis, and its correlation coefficient R 2 =0.8948, which is quite satisfactory. The regression equation is used to predict the pressure on the 20th Monday. Comparing the data with the actual pressure data on the 20th Monday, the average error of the 20th Monday is only 0.01984% and the standard deviation is only 0.01339%. Refer to Table 1.

神經網路預測模型係採用感知機神經網路進行壓力模式之預測,可例如以前一個星期一之壓力數據(每小時一筆,共24筆)為輸入向量,使輸入層共有24個神經元,並將隱藏層設定為3個神經元,而輸出層有24個神經元,輸出層代表下一個星期一每小時的壓力數據,能以18個連續星期一的壓力數據做為神經網路之學習數據,再以第19個星期一的壓力數據作為完成神經網路學習後之輸入向量,用以預測第20個星期一的壓力數據,其平均誤差僅為0.03886%,標準差僅為0.0336%,參考表2。 The neural network prediction model uses the perceptron neural network to predict the pressure mode. For example, the pressure data of the previous Monday (one per hour, a total of 24) is the input vector, so that the input layer has a total of 24 neurons, and Set the hidden layer to 3 neurons, and the output layer has 24 neurons. The output layer represents the pressure data of the next Monday every hour. The pressure data of 18 consecutive Mondays can be used as the learning data of the neural network. , And then use the pressure data of the 19th Monday as the input vector after completing the neural network learning to predict the pressure data of the 20th Monday. The average error is only 0.03886% and the standard deviation is only 0.0336%. Table 2.

Figure 108118981-A0305-02-0010-1
Figure 108118981-A0305-02-0010-1
Figure 108118981-A0305-02-0011-2
Figure 108118981-A0305-02-0011-2

Figure 108118981-A0305-02-0011-4
Figure 108118981-A0305-02-0011-4
Figure 108118981-A0305-02-0012-5
Figure 108118981-A0305-02-0012-5

其中用水模式可參閱第四圖,可發現每日從6點開始用戶就持續用水,直至23點過後,用水量才開始下降;基礎用水流量以每戶平均每小時用水量乘以用戶數計算獲得,假設進/出水節點3有100戶用戶,每戶平均每日用水量=0.8m3,基礎用水流量就等於(100*0.8)/24。 The water consumption mode can be seen in the fourth figure. It can be found that users continue to use water from 6 o'clock every day, and the water consumption starts to decline after 23:00; the basic water flow is calculated by multiplying the average hourly water consumption per household by the number of users. , Assuming that there are 100 users at the water inlet/outlet node 3, and the average daily water consumption per household = 0.8m 3 , the basic water flow is equal to (100*0.8)/24.

由於水力模型(2)之參數尚未修正,因此其與供水管網(1)之實際的流量及壓力變化仍有誤差,為了逐一進行修正,本發明係分為四種情境,情境A代表真實供水管網(1),並有漏水點(11);情境B為供水管網(1)之水力模型(2),其無設置漏水點(11),基礎用水量、用水模式與管線粗糙係數皆尚未修正;情境C為供水管網(1)之水力模型(2),其無設置漏水點(11),基礎用水量及用水模式已修正,管線粗糙係數尚未修正;情境D為供水管網(1)之水力模型(2),其無設置漏水點(11),基礎用水量、用水模式與管線粗糙係數皆已修正,以下就四種情境分別說明。 Since the parameters of the hydraulic model (2) have not been corrected, the actual flow and pressure changes between it and the water supply pipe network (1) still have errors. In order to correct them one by one, the present invention is divided into four scenarios, scenario A represents the real water supply Pipe network (1), with water leakage points (11); scenario B is the hydraulic model (2) of water supply pipe network (1), without water leakage points (11), basic water consumption, water use pattern, and pipeline roughness coefficients are all It has not been corrected; scenario C is the hydraulic model (2) of the water supply pipe network (1), it has no water leakage point (11), the basic water consumption and water use pattern have been corrected, and the pipeline roughness coefficient has not been corrected; scenario D is the water supply pipe network ( The hydraulic model (2) of 1) has no water leakage point (11). The basic water consumption, water consumption pattern and pipeline roughness coefficient have all been corrected. The following four scenarios are explained separately.

情境A:以第一圖之供水管網(1)為對象,係根據設置於供水管網(1)中的複數進/出水節點(3)之流量計與壓力計,量測或預測出供水管網(1)之複數個進/出水節點(3)的一第二流量時間變化模式與第二壓力時間變化模式,即如第五圖與第六圖所示。 Scenario A: Taking the water supply pipe network (1) in the first figure as the object, it measures or predicts the water supply based on the flowmeter and pressure gauge of the plural water inlet/outlet nodes (3) installed in the water supply pipe network (1) A second flow time change pattern and a second pressure time change pattern of a plurality of water inlet/outlet nodes (3) of the pipe network (1) are shown in the fifth and sixth diagrams.

情境B:情境B主要用來進行用水模式的修正,首先由情境A得到時間點i的淨流量QAi以及時間點i的漏水量QLi,還有情境B得到時間點i的淨流量QBi,並將24小時範圍內(每10分鐘一筆數據)所有流量差異加總取得情境A與情境B的流量偏差值△Q,其計算過程如下公式1。 Scenario B: Scenario B is mainly used to modify the water use pattern. First, scenario A obtains the net flow Q Ai at time i and the water leakage Q Li at time i, and scenario B obtains the net flow Q Bi at time i , And add up all the flow differences within a 24-hour range (one data every 10 minutes) to obtain the flow deviation value ΔQ between scenario A and scenario B. The calculation process is as follows: Formula 1.

Figure 108118981-A0305-02-0013-8
Figure 108118981-A0305-02-0013-8

即係將第二流量時間變化模式先扣除供水管網(1)之漏水流量,得一第三流量時間變化模式,再與第二流量時間變化模式進行比較差異,再將流量偏差值轉換成24小時範圍內(每10分鐘一筆數據)總體積偏差,總體積偏差除以總用戶數後,再除以24小時,作為修正係數,每個節點(4)用戶數乘上修正係數,得到節點(4)基礎用水流量修正值,上述加上情境B中水力模型(2)每個節點(4)的修正前基礎用水流量,可求得各個節點(4)修正後基礎用水流量,其結果如表3,再將第三流量時間變化模式除以修正後之基礎用水流量,獲得修正後的用水模式如第七圖所示。 That is, the second flow time change mode is first subtracted from the water leakage flow of the water supply pipe network (1) to obtain a third flow time change mode, and then compare the difference with the second flow time change mode, and then convert the flow deviation value to 24 The total volume deviation within hours (one data every 10 minutes), the total volume deviation is divided by the total number of users, then divided by 24 hours, as the correction coefficient, each node (4) the number of users multiplied by the correction coefficient, get the node ( 4) The basic water flow correction value, plus the basic water flow before the correction of each node (4) in the hydraulic model (2) of scenario B above, the corrected basic water flow of each node (4) can be obtained. The results are shown in the table 3. Divide the third flow time change pattern by the corrected basic water flow to obtain the corrected water use pattern as shown in Figure 7.

Figure 108118981-A0305-02-0013-10
Figure 108118981-A0305-02-0013-10
Figure 108118981-A0305-02-0014-11
Figure 108118981-A0305-02-0014-11

情境CSituation C

根據情境B修正基礎用水量及用水模式,接續修正管線粗糙係數,由於相同長度的管線在相同的流速下,會因為管線粗糙係數的不同,壓力損耗也有差異,所以利用節點(4)的壓力值與供水管網(1)實測壓力值的偏差來修正管線粗糙係數,由於情境A含漏水點(11)而情境C不含漏水點(11),因此修正管線粗糙係數之前,亦需將情境A的漏水量流扣除,本發明管線粗糙係數修正方法,係先預設多組管線粗糙係數(Hazen-Williams Coefficient,HWC),分別為80、90、100、110,並比較在不同管線粗糙係數的情況下,尋找壓力差平均值△P為最小的粗糙係數,即係將水力模型(2)之複數個節點(4)進行壓力差異分析,其計算過程如公式2所示,結果如表4呈現。 Correct the basic water consumption and water usage mode according to scenario B, and then continue to correct the pipeline roughness coefficient. Because the pipelines of the same length are at the same flow rate, the pressure loss will be different due to the different pipeline roughness coefficients, so the pressure value of node (4) is used The deviation from the actual pressure value of the water supply network (1) is used to correct the pipeline roughness coefficient. Since scenario A contains leaks (11) and scenario C does not contain leaks (11), it is necessary to correct scenario A before correcting the pipeline roughness coefficient. The pipeline roughness coefficient correction method of the present invention first presets multiple sets of pipeline roughness coefficients (Hazen-Williams Coefficient, HWC), respectively 80, 90, 100, 110, and compares the roughness coefficients of different pipelines. In this case, find the roughness coefficient with the smallest average value of pressure difference △P, that is, analyze the pressure difference of multiple nodes (4) of the hydraulic model (2). The calculation process is shown in formula 2, and the results are shown in Table 4. .

Figure 108118981-A0305-02-0014-12
Figure 108118981-A0305-02-0014-12

公式4中i代表144筆不同時間之數據,j代表10個節點(4)。 In formula 4, i represents 144 data at different times, and j represents 10 nodes (4).

Figure 108118981-A0305-02-0014-13
Figure 108118981-A0305-02-0014-13
Figure 108118981-A0305-02-0015-14
Figure 108118981-A0305-02-0015-14

依表4所示,可清楚看出管線粗糙係數HWC為100時,其壓力差平均最小,代表最佳化管線粗糙係數為100。 As shown in Table 4, it can be clearly seen that when the pipeline roughness coefficient HWC is 100, the average pressure difference is the smallest, which represents an optimized pipeline roughness coefficient of 100.

情境DSituation D

經過情境B與情境C參數修正後,該水力模型(2)為最接近真實管網之水力模型,唯獨欠缺漏水點之模擬,如欲透過該水力模型(2)尋找漏水點(11)之位置,需將情境A的漏水量QL扣除,再比較水力模型(2)之各節點(4)與供水管網(1)壓力計實測之壓力差值,差異最大且出現次數最多的節點(4),即代表漏水點(11)位於該節點(4)的上游處。 After the parameters of Scenario B and Scenario C are corrected, the hydraulic model (2) is the hydraulic model closest to the real pipe network, except that it lacks the simulation of the leakage point. If you want to find the leakage point (11) through the hydraulic model (2) Position, the water leakage Q L of scenario A needs to be deducted, and then the pressure difference measured by each node (4) of the hydraulic model (2) and the water supply network (1) pressure gauge is compared. The node with the largest difference and the most frequent occurrence ( 4), which means that the water leakage point (11) is located upstream of the node (4).

在24小時範圍內每10分鐘計算一次管網節點(4)壓力值,選取每次計算壓力差值最大之節點(4),統計出現次數最多之節點(4),即為漏水發生下游處之節點(4),其結果統計如第九圖所示,統計後,節點(4)N5共出現143次的壓力差最大值,而節點(4)N6出現1次的壓力差最大值,代表漏水點(11)位於節點(4)N5的上游處,即為第一圖之N9與N5之間的漏水點(11)E。 Calculate the pressure value of the pipe network node (4) every 10 minutes within a 24-hour period, select the node (4) with the largest pressure difference calculated each time, and count the node (4) with the most occurrences, which is the downstream position where the water leakage occurs. The results of node (4) are shown in the ninth figure. After statistics, the maximum pressure difference of node (4) N5 appears 143 times, and the maximum pressure difference of node (4) N6 appears once, which represents water leakage Point (11) is located upstream of node (4) N5, which is the water leakage point (11) E between N9 and N5 in the first figure.

情境ESituation E

為求得漏水敏感度,係增加一個情境E,係於水力模型(2)中增加一個模擬漏水點(情境D之漏水點),並設定其流量係數(discharge coefficient)與壓力指數(pressure exponent)。 In order to obtain the water leakage sensitivity, a scenario E is added, a simulated water leakage point (the water leakage point in scenario D) is added to the hydraulic model (2), and its discharge coefficient and pressure exponent are set. .

根據國際水協FAVAD公式,(Lt1/Lt2)=(Pt1/Pt2)N1,計算漏水 敏感度N1,首先計算時間t之情境D與情境E的進/出水節點流量值差異,即為時間t之漏水流量Lt,再計算時間t情境E所有節點(4)壓力平均值,即為時間t之管網壓力值Pt,以24小時範圍每10分鐘計算一筆Lt及Pt,再帶入FAVAD公式,即可求得144筆N1值,取其平均即為漏水敏感度(N1)。 According to the FAVAD formula of the International Water Association, (L t1 /L t2 )=(P t1 /P t2 ) N1 , to calculate the leakage sensitivity N1, first calculate the difference between the inflow and outflow node flow values of the situation D and the situation E at time t, namely Is the leakage flow rate L t at time t, and then calculate the average pressure of all nodes (4) in the context E at time t, which is the pipe network pressure value P t at time t, and calculate L t and P t every 10 minutes in a 24-hour range , And then enter the FAVAD formula, you can get 144 N1 values, and the average is the water leakage sensitivity (N1).

情境FSituation F

再者,參數修正後的水力模型(2)亦可進行供水管網(1)的水齡分析,依據水齡分布情況,作為供水管網(1)進/出水節點(3)位置是否選擇恰當之評估指標,水齡分布情況亦可作為實施分區計量漏控技術於切割供水區域時的重要參考;水齡指標係指管網各節點(4)24小時範圍內平均水齡之加總,再除以節點(4)數,亦即為該管網之整體節點(4)平均水齡,表5係為第三圖水力模型與第八圖雙進/出水節點水力模型之水齡指標計算結果,從表5與第十圖可看出雙進/出水節點水力模型之水齡分布情況優於水力模型。 Furthermore, the parameter-corrected hydraulic model (2) can also be used to analyze the water age of the water supply pipe network (1). According to the water age distribution, whether the location of the water supply pipe network (1) inlet/outlet node (3) is selected appropriately The water age distribution can also be used as an important reference for the implementation of zone metering leakage control technology when cutting the water supply area; the water age index refers to the sum of the average water age of each node (4) of the pipe network within 24 hours, and then Divided by the number of nodes (4), it is the average water age of the overall node (4) of the pipe network. Table 5 shows the calculation results of the water age index of the hydraulic model of the third figure and the eighth figure of the double inlet/outlet node hydraulic model , From Table 5 and Figure 10, it can be seen that the water age distribution of the dual inlet/outlet node hydraulic model is better than that of the hydraulic model.

Figure 108118981-A0305-02-0016-15
Figure 108118981-A0305-02-0016-15

由上述之實施說明可知,本發明與現有技術相較之下,本發 明具有以下優點: It can be seen from the above-mentioned implementation description that, compared with the prior art, the present invention Ming has the following advantages:

1.本發明一種部分切割的管網水力模型建構方法係將部分切割的管網建立成一個水力模型,透過上述情境B、C的參數修正,以建置一個正確的模擬環境。 1. A method of constructing a partially cut pipe network hydraulic model of the present invention is to build a partially cut pipe network into a hydraulic model, and through the parameter correction of the above scenarios B and C, to build a correct simulation environment.

2.本發明一種部分切割的管網水力模型建構方法,於修正水力模型的各個參數後,透過情境D將水力模型之節點壓力值,與實測壓力值進行分析比較,可找出壓力差值最大的節點,即得知漏水點之位置。 2. A method of constructing a partially cut pipe network hydraulic model of the present invention. After correcting the various parameters of the hydraulic model, the node pressure value of the hydraulic model is analyzed and compared with the measured pressure value through scenario D, and the maximum pressure difference can be found , The location of the leaking point is known.

3.本發明一種部分切割的管網水力模型建構方法之情境E,提出一種以水力模型計算24小時N1值的有效方法,比傳統只根據夜間漏水量來推估N1值更加合理準確。 3. Scenario E of the method for constructing a partially cut pipe network hydraulic model of the present invention proposes an effective method for calculating the 24-hour N1 value using a hydraulic model, which is more reasonable and accurate than the traditional estimation of the N1 value based only on night water leakage.

4.本發明一種部分切割的管網水力模型建構方法提出一種以部分切割管網的水力模型分析管網不同進/出水點位置對水齡分布之影響,並提出水齡指標作為評定基準。 4. A method of constructing a partially cut pipe network hydraulic model of the present invention proposes a partially cut pipe network hydraulic model to analyze the influence of different inlet/outlet points of the pipe network on the water age distribution, and proposes a water age index as an evaluation criterion.

綜上所述,本發明之一種部分切割的管網水力模型建構方法,的確能藉由上述所揭露之實施例,達到所預期之使用功效,且本發明亦未曾公開於申請前,誠已完全符合專利法之規定與要求。爰依法提出發明專利之申請,懇請惠予審查,並賜准專利,則實感德便。 In summary, the method for constructing a partially cut pipe network hydraulic model of the present invention can indeed achieve the expected use effect through the embodiments disclosed above, and the present invention has not been disclosed before the application. Comply with the provisions and requirements of the Patent Law. If you file an application for a patent for invention in accordance with the law, you are kindly requested to review it and grant a quasi-patent.

惟,上述所揭之圖示及說明,僅為本發明之較佳實施例,非為限定本發明之保護範圍;大凡熟悉該項技藝之人士,其所依本發明之特徵範疇,所作之其它等效變化或修飾,皆應視為不脫離本發明之設計範疇。 However, the above-mentioned illustrations and descriptions are only preferred embodiments of the present invention, and are not intended to limit the scope of protection of the present invention. Those who are familiar with the art will do other things based on the characteristic scope of the present invention. Equivalent changes or modifications should be regarded as not departing from the design scope of the present invention.

(1):供水管網 (1): Water supply network

(11):漏水點 (11): Leakage point

(3):進/出水節點 (3): Water inlet/outlet node

(4):節點 (4): Node

Claims (9)

一種部分切割的管網水力模型建構方法,其步驟包含有:步驟一:由部分切割之供水管網建立一水力模型,將該水力模型之複數個進/出水節點連接一虛擬水池;步驟二:以預設之模型參數,進行該水力模型之模擬分析,計算該虛擬水池出水口之一第一流量時間變化模式;步驟三:量測或預測該供水管網之該複數個進/出水節點的一第二流量時間變化模式與一第二壓力時間變化模式,將該第二流量時間變化模式扣除供水管網之漏水流量,得一第三流量時間變化模式;步驟四:將該第一流量時間變化模式與第三流量時間變化模式進行比較,以修正該水力模型預先設定之基礎用水流量與一用水模式;步驟五:將該水力模型之複數個節點進行壓力差異分析,以修正該水力模型預先設定之一管線粗糙係數;以及步驟六:根據修正後之該水力模型,模擬該複數個節點的壓力值並與實測壓力值進行分析比較,獲得該供水管網之漏水點,又根據步驟六修正後之該水力模型,計算出該虛擬水池出水口之一第四流量時間變化模式;其中根據該第二流量時間變 化模式與該第四流量時間變化模式,配合該第二壓力時間變化模式係能分析獲得漏水敏感度N1。 A method for constructing a partially cut pipe network hydraulic model. The steps include: Step 1: Build a hydraulic model from the partially cut water supply pipe network, and connect multiple inlet/outlet nodes of the hydraulic model to a virtual pool; Step 2: Carry out the simulation analysis of the hydraulic model with the preset model parameters, and calculate the first flow time change mode of one of the outlets of the virtual pool; Step 3: Measure or predict the water inlet/outlet nodes of the water supply network A second flow time change mode and a second pressure time change mode, the second flow time change mode is subtracted from the water leakage flow of the water supply pipe network to obtain a third flow time change mode; Step 4: The first flow time The change mode is compared with the third flow time change mode to correct the basic water flow and a water use mode preset in the hydraulic model; Step 5: Perform pressure difference analysis on multiple nodes of the hydraulic model to modify the hydraulic model in advance Set a pipeline roughness coefficient; and Step 6: According to the corrected hydraulic model, simulate the pressure values of the multiple nodes and analyze and compare them with the measured pressure values to obtain the water leakage point of the water supply network, and then correct it according to step 6 Then the hydraulic model calculates a fourth flow time change mode of one of the virtual pool outlets; wherein the time change according to the second flow The chemical mode and the fourth flow time change mode, in conjunction with the second pressure time change mode, can analyze and obtain the water leakage sensitivity N1. 如申請專利範圍第1項所述部分切割的管網水力模型建構方法,其中該預設之模型參數為該複數個基礎用水流量、該用水模式、管線尺寸、該管線粗糙係數以及操作設備的參數與操作條件。 For example, the method for constructing a partially cut hydraulic model of a pipe network as described in item 1 of the scope of patent application, wherein the preset model parameters are the plurality of basic water flow rates, the water use mode, the pipeline size, the pipeline roughness coefficient and the parameters of the operating equipment And operating conditions. 如申請專利範圍第1項所述部分切割的管網水力模型建構方法,其中該供水管網具有該複數個節點、該複數個進/出水節點及複數個設置於該複數個進/出水節點之流量計或壓力計。 For example, the method for constructing a partially cut hydraulic model of a pipe network described in item 1 of the scope of patent application, wherein the water supply pipe network has the plurality of nodes, the plurality of water inlet/outlet nodes, and the plurality of water inlet/outlet nodes arranged at the plurality of Flow meter or pressure gauge. 如申請專利範圍第3項所述部分切割的管網水力模型建構方法,其中該第二流量時間變化模式與第二壓力時間變化模式係藉由該複數個流量計與壓力計量測獲得。 For example, the method for constructing a partially cut pipe network hydraulic model described in the scope of patent application, wherein the second flow rate time change mode and the second pressure time change mode are obtained by the plurality of flow meters and pressure measurement. 如申請專利範圍第3項所述部分切割的管網水力模型建構方法,透過機器學習、時間序列模型,或該安裝於複數個進/出水節點之流量計或壓力計,預測或量測出該水力模型之虛擬水池壓力時間變化模式。 For example, the partially cut pipe network hydraulic model construction method described in item 3 of the scope of patent application, through machine learning, time series model, or the flowmeter or pressure gauge installed at multiple water inlet/outlet nodes, predict or measure the Time change mode of virtual pool pressure of hydraulic model. 如申請專利範圍第1項所述部分切割的管網水力模型建構方法,其中該第二流量時間變化模式可透過時間序列模型或神經網路預測模型計算而獲得。 For example, the method for constructing a partially cut hydraulic model of a pipe network described in the scope of the patent application, wherein the second flow rate time change mode can be obtained by calculation through a time series model or a neural network prediction model. 如申請專利範圍第1項所述部分切割的管網水力模型建構方法,其中該水力模型係能進一步分析出該供水管網之水齡分布情形及水齡指標。 For example, the method for constructing a partially cut hydraulic model of a pipe network described in the scope of patent application, wherein the hydraulic model can further analyze the water age distribution and water age indicators of the water supply pipe network. 如申請專利範圍第1項所述部分切割管網的水力模型建構方法,其中水力模型中複數個進/出水節點連接之虛擬水池,可用一虛擬水泵或一虛擬用水節點替代;其中該虛擬水泵,係藉由安裝於一進水節點之流量計與壓力計量測之資料,獲得該虛擬水泵之流量與壓力關係曲線,再以該流量與壓力關係曲線進行管網模擬;該虛擬用水節點係藉由安裝於一出水節點之流量計量測之資料,獲得該虛擬用水節點之用水流量時間變化曲線,再以該用水流量時間變化曲線進行管網模擬。 For example, the method for constructing a hydraulic model of a partially cut pipe network described in the scope of the patent application, in which a plurality of virtual pools connected to the water inlet/outlet nodes in the hydraulic model can be replaced by a virtual water pump or a virtual water node; wherein the virtual water pump, The flow rate and pressure relationship curve of the virtual water pump is obtained by the flowmeter installed at a water inlet node and the pressure measurement data, and then the pipeline network simulation is performed with the flow rate and pressure relationship curve; the virtual water node is borrowed From the data measured by the flowmeter installed at a water outlet node, the water flow time change curve of the virtual water node is obtained, and then the water flow time change curve is used to simulate the pipe network. 如申請專利範圍第8項所述部分切割管網的水力模型建構方法,其中將兩個修正後且相鄰的水力模型以一連接節點取代邊界上的該虛擬水池、該虛擬水泵或該虛擬用水節點,並以該連接節點將兩個修正後的水力模型之管線連接。 For example, the method for constructing a hydraulic model of a partially cut pipe network as described in item 8 of the scope of patent application, in which two modified and adjacent hydraulic models are replaced with a connecting node for the virtual pool, the virtual water pump, or the virtual water Node, and use the connection node to connect the pipelines of the two revised hydraulic models.
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