JP5723642B2 - Distribution pressure control system - Google Patents

Distribution pressure control system Download PDF

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JP5723642B2
JP5723642B2 JP2011060027A JP2011060027A JP5723642B2 JP 5723642 B2 JP5723642 B2 JP 5723642B2 JP 2011060027 A JP2011060027 A JP 2011060027A JP 2011060027 A JP2011060027 A JP 2011060027A JP 5723642 B2 JP5723642 B2 JP 5723642B2
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pressure
water distribution
flow rate
water
pump
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JP2012193585A (en
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信補 高橋
信補 高橋
進吾 足立
進吾 足立
達広 佐藤
達広 佐藤
宏充 栗栖
宏充 栗栖
田所 秀之
秀之 田所
弘泰 安富
弘泰 安富
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Hitachi Ltd
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Hitachi Ltd
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Priority to PCT/JP2012/001265 priority patent/WO2012127783A1/en
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D15/00Control, e.g. regulation, of pumps, pumping installations or systems
    • F04D15/0088Testing machines
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D16/00Control of fluid pressure
    • G05D16/20Control of fluid pressure characterised by the use of electric means
    • G05D16/2006Control of fluid pressure characterised by the use of electric means with direct action of electric energy on controlling means
    • G05D16/2066Control of fluid pressure characterised by the use of electric means with direct action of electric energy on controlling means using controlling means acting on the pressure source
    • G05D16/2073Control of fluid pressure characterised by the use of electric means with direct action of electric energy on controlling means using controlling means acting on the pressure source with a plurality of pressure sources
    • EFIXED CONSTRUCTIONS
    • E03WATER SUPPLY; SEWERAGE
    • E03BINSTALLATIONS OR METHODS FOR OBTAINING, COLLECTING, OR DISTRIBUTING WATER
    • E03B5/00Use of pumping plants or installations; Layouts thereof

Description

浄水をポンプにより、配水地から上水道の配水管網を経て末端の需要家へ送水する場合の配水圧制御装置に関する。特に、配水圧制御に利用する管路抵抗モデルのモデル化誤差や、火災が起こったときの突発的な水需要や配水区間の水融通などなど配水系に対する外乱を考慮して、配水管網の末端圧を精密制御可能な配水圧制御装置に関する。   The present invention relates to a water distribution pressure control device in a case where purified water is pumped from a distribution area to a consumer at the end through a water distribution pipe network. Considering disturbances to the distribution system such as modeling errors in the pipe resistance model used for distribution pressure control, sudden water demand in the event of a fire, and water interchange in the distribution section, etc. The present invention relates to a water distribution pressure control device capable of precisely controlling the terminal pressure.

特許文献1には、配水地から管路を介して配置された上水道の配水管路網から末端の需要家へ浄水をポンプにより送水する配水圧制御装置において、制御対象となる配水ブロックにおいて、その流入流量と吐出圧、末端圧、需要量の実プロセスデータに基づいて管路抵抗をモデル化し、そのモデルを活用して需要変動や管路網プロセスの経年変化によって生じる制御性能劣化を抑制可能な配水圧制御装置を提供している。   In patent document 1, in a distribution pressure control device for supplying purified water by a pump from a distribution pipe network of a water supply system arranged through a pipeline from a distribution area to a terminal consumer, in a distribution block to be controlled, Pipe resistance is modeled based on actual process data of inflow rate, discharge pressure, terminal pressure, and demand volume, and control performance degradation caused by demand fluctuations and aging of pipeline network processes can be suppressed using the model. A distribution pressure control device is provided.

特許文献2には、配水エリア間の融通が行われた場合や火災などの異常時に対応して末端圧を精密に制御するため、リアルタイムのプロセスデータにより配水管網の状態をシミュレーションし、各配水注入点を含む操作点に対して最適な操作量を自動的に算出して設定可能な配水コントロールを実現するものである。   In Patent Document 2, in order to precisely control the end pressure in response to an interchange between water distribution areas or in case of an abnormality such as a fire, the state of the water distribution pipe network is simulated using real-time process data. It realizes water distribution control that can be set by automatically calculating the optimum operation amount for the operation point including the injection point.

特開2009−209523JP2009-209523 特開2006−104777JP 2006-104777 A

特許文献1は、経年変化によるプロセス特性変化に対応して制御精度を維持することは可能であるが、管路抵抗モデルのモデル化誤差が未考慮であり、末端圧を限界下限値に精密制御するのは困難という問題がある。これにより余分なポンプエネルギーが消費されることになる。また、本来の家庭、工場などの需要と異なる火災の消化栓流量など突発な外乱に対応して制御性能を維持するのは困難という問題がある。   In Patent Document 1, it is possible to maintain the control accuracy corresponding to the process characteristic change due to aging, but the modeling error of the pipe resistance model is not taken into consideration, and the terminal pressure is precisely controlled to the limit lower limit value. There is a problem that it is difficult to do. This consumes extra pump energy. In addition, there is a problem that it is difficult to maintain control performance in response to sudden disturbances such as the flow rate of fire extinguishing plugs, which is different from the demands of homes and factories.

特許文献2では、管網モデルを用いて配水系細部の圧力変動を捕らえて末端圧を制御可能であるが、管網計算の演算負荷が大きく制御周期が大きくなるため、消化栓流量などの急減な流量変化に対応した制御が困難という問題がある。すなわち、末端圧が想定以上に目標値からはずれるという問題がある。   In Patent Document 2, it is possible to control the end pressure by capturing pressure fluctuations in the water distribution system using a pipe network model, but because the calculation load of the pipe network calculation is large and the control cycle is large, the flow rate of the digestive plug etc. There is a problem that it is difficult to control in response to various flow rate changes. That is, there is a problem that the terminal pressure deviates from the target value more than expected.

そこで、制御対象となる配水ブロックの管路抵抗モデルをモデル化するとともにそのモデル化誤差を算出し、圧力モデル化誤差を考慮した管路抵抗モデルに基づいて、末端圧が目標値以上になる可能性を高めるような配水圧制御装置を提供することにある。   Therefore, it is possible to model the pipe resistance model of the distribution block to be controlled, calculate its modeling error, and based on the pipe resistance model considering the pressure modeling error, the end pressure may be higher than the target value An object of the present invention is to provide a water distribution pressure control device that enhances the performance.

配水圧制御システムは、
配水管網とポンプの間に設置された吐出圧力計測器が計測する吐出圧と、配水管網から水の供給を受ける配水先の水道管と当該配水管網との間に設置された末端圧計測器が計測する末端圧と、配水管網とポンプとの間に設置された流量計測器が計測する流量とに基いて、所定のレベルのモデル化誤差による影響を反映させた当該配水管網の管路抵抗モデルを生成する管路抵抗モデル生成部と、
管路抵抗モデルと予め配水圧制御システムが有する配水流量パターンとに基いて、配水管網の中で生じる水圧の圧力損失量を算出する圧力損失計算部と、
末端圧の目標値を受信し、圧力損失量と末端圧の目標値とに基いて、目標吐出圧を計算する目標吐出圧計算部と、
目標吐出圧を達成するようポンプの回転数を制御する回転数制御部とを有する。
Distribution pressure control system
Discharge pressure measured by the discharge pressure measuring instrument installed between the distribution pipe network and the pump, and end pressure installed between the water pipe of the distribution destination that receives water supply from the distribution pipe network and the distribution pipe network Based on the end pressure measured by the measuring instrument and the flow measured by the flow measuring instrument installed between the distribution pipe network and the pump, the distribution pipe network reflects the influence of the modeling error at a predetermined level. A pipe resistance model generation unit for generating a pipe resistance model of
A pressure loss calculation unit for calculating a pressure loss amount of water pressure generated in the distribution pipe network based on a pipe resistance model and a distribution flow rate pattern that the distribution pressure control system has in advance;
A target discharge pressure calculation unit that receives the target value of the terminal pressure and calculates the target discharge pressure based on the pressure loss amount and the target value of the terminal pressure;
A rotation speed control unit that controls the rotation speed of the pump so as to achieve the target discharge pressure.

本発明によれば、制御対象となる配水ブロックの管路抵抗モデルをモデル化するとともにそのモデル化誤差を算出し、モデル化誤差を考慮した管路抵抗モデルに基づいて、最悪ケースにおいても末端圧が目標値以上になるような配水圧を制御できる。また、消化栓流量など通常の需要パターンと異なる突発的な需要(外乱)を流量センサで計測することで突発需要を速やかに判定し、管路抵抗モデルを用いて本来より短い周期で目標吐出圧を計算することで、配水圧を精密制御できる。また、本来の需要パターンと異なる突発需要モデル(外乱)を考慮した独自の管路抵抗モデルを構築して配水圧を精密制御できる。 According to the present invention, the pipe resistance model of the water distribution block to be controlled is modeled and its modeling error is calculated. Based on the pipe resistance model taking into account the modeling error, the end pressure is calculated even in the worst case. It is possible to control the water distribution pressure so that becomes more than the target value. In addition, sudden demand (disturbance) that is different from normal demand patterns such as digestive plug flow is measured with a flow sensor to quickly determine sudden demand, and a target discharge pressure with a cycle shorter than the original using a pipe resistance model. By calculating, water distribution pressure can be precisely controlled. In addition, it is possible to precisely control the water distribution pressure by constructing an original pipe resistance model that takes into account the sudden demand model (disturbance) that is different from the original demand pattern.

配水圧制御システムの構成例を示す図である。It is a figure which shows the structural example of a distribution pressure control system. データベースに格納されるデータの例を示す図である。It is a figure which shows the example of the data stored in a database. 流量と圧力損失の関係例を表すグラフである。It is a graph showing the example of a relationship between a flow volume and a pressure loss. 配水圧制御処理例を示すフローチャートである。It is a flowchart which shows the example of a distribution pressure control process. 需要パターンの例を示す図である。It is a figure which shows the example of a demand pattern. ポンプの流量−揚程特性の例を示す図である。It is a figure which shows the example of the flow volume-head characteristic of a pump. 推定値のばらつきを考慮した場合と考慮しない場合の制御性能の一例を示す図である。It is a figure which shows an example of the control performance when not considering the dispersion | variation in an estimated value. 配水圧制御システムの他の構成例を示す図である。It is a figure which shows the other structural example of a distribution pressure control system. 消化栓流量が発生した場合とそうでない場合の末端圧の変化の一例を示す図であるIt is a figure which shows an example of the change of the terminal pressure when the digestive plug flow volume occurs and when it is not so 配水圧制御処理の他の一例を示すフローチャートである。It is a flowchart which shows another example of a distribution pressure control process. 配水圧制御システムの他の構成例を示す図である。It is a figure which shows the other structural example of a distribution pressure control system. 管路抵抗モデルの係数値と係数の標準誤差の一例を示す図である。It is a figure which shows an example of the coefficient value of a pipe line resistance model, and the standard error of a coefficient. 配水圧制御処理の他の一例を示すフローチャートである。It is a flowchart which shows another example of a distribution pressure control process.

本発明の実施形態を、図面を用いて説明する。   Embodiments of the present invention will be described with reference to the drawings.

図1から図7を参照し実施例1を説明する。   The first embodiment will be described with reference to FIGS.

図1は、実施例1の配水圧制御システムの構成図である。制御システムは、配水管網1、配水池11、吐出圧を計測する第1の圧力センサ2、末端圧を計測する第2の圧力センサ3、配水流量を計測する流量センサ4、ポンプ8、9、10、ポンプ回転数を計測する回転数センサ5、6、7、計測時系列データを蓄えるDB(データベース)101、管路抵抗モデル同定手段102、前述の各種センサによる計測値、管路抵抗モデル、目標末端圧を入力として、目標末端圧を実現するようポンプ回転数を制御する配水圧制御装置100からなる。   FIG. 1 is a configuration diagram of a water distribution pressure control system according to the first embodiment. The control system includes a distribution pipe network 1, a distribution reservoir 11, a first pressure sensor 2 that measures discharge pressure, a second pressure sensor 3 that measures terminal pressure, a flow rate sensor 4 that measures distribution flow rate, and pumps 8 and 9. 10, rotational speed sensors 5, 6, 7 for measuring the pump rotational speed, DB (database) 101 for storing measurement time-series data, pipe resistance model identification means 102, measured values by the above-mentioned various sensors, pipe resistance model The water supply pressure control device 100 controls the pump rotational speed so as to realize the target terminal pressure with the target terminal pressure as an input.

第1の圧力センサ2はポンプから配水管網1に配水される水の圧力(吐出圧)を計測するセンサで、ポンプ8、9、10と配水管網1との間に設置されている。第2の圧力センサ3は配水管網1から水の供給を受ける供給先(配水先とも呼ぶ)の水道管への水の配水圧力(末端圧)を計測するセンサで、配水管網1と供給先の水道管との境界に設置される。流量センサ4はポンプから配水管網1へ配水される水の流量を計測するセンサであって、ポンプ8、9、10と配水管網1との間に設置される。   The first pressure sensor 2 is a sensor that measures the pressure (discharge pressure) of water distributed from the pump to the water distribution network 1 and is installed between the pumps 8, 9, 10 and the water distribution network 1. The second pressure sensor 3 is a sensor for measuring a water distribution pressure (terminal pressure) to a water pipe of a supply destination (also called a water distribution destination) that receives water supply from the water distribution pipe network 1. It is installed at the boundary with the previous water pipe. The flow rate sensor 4 is a sensor that measures the flow rate of water distributed from the pump to the water distribution network 1, and is installed between the pumps 8, 9, 10 and the water distribution network 1.

DB101、管路抵抗モデル同定手段102、配水圧制御装置100は各々、プロセッサとメモリ、HDDなどの記憶装置を有する計算機である。即ち、DB101はプロセッサがメモリ内に格納されたプログラムを実行することにより、先述の各種センサから計測値を取得して、これをDBデータとして記憶装置に保存する。管路抵抗モデル同定手段102はプロセッサがメモリ内に格納されたプログラムを実行することによって、DB101にアクセスし、各種センサの計測値を取得して管路抵抗をモデル化すると共にモデル化誤差の推定値を計算する。配水圧制御装置100ではメモリに格納された各種プログラムをプロセッサが実行することにより、配水圧制御装置100が有する後述の各種手段が実現される。   Each of the DB 101, the pipe resistance model identification means 102, and the water distribution pressure control device 100 is a computer having a processor, a memory, and a storage device such as an HDD. That is, the DB 101 acquires measurement values from the various sensors described above by the processor executing a program stored in the memory, and saves the measurement values as DB data in a storage device. The pipe resistance model identification means 102 accesses the DB 101 by the processor executing a program stored in the memory, obtains measured values of various sensors, models the pipe resistance, and estimates modeling errors. Calculate the value. In the water distribution pressure control apparatus 100, various means described later included in the water distribution pressure control apparatus 100 are realized by the processor executing various programs stored in the memory.

なお、DB1010、管路抵抗モデル同定手段102、配水圧制御装置100は各々別の計算機によって構成されていても、同じ計算機によって構成されていても構わない。   Note that the DB 1010, the pipe resistance model identification means 102, and the water distribution pressure control device 100 may be configured by different computers or by the same computer.

配水圧制御装置100は、需要予測手段103、圧力損失計算手段104、目標吐出圧計算手段105、回転数制御手段107を有する。圧力センサ2、3はそれぞれ、配水管網の入り口、末端に設置され、吐出圧、末端圧を各々計測する。流量センサ4は、配水管網の入り口に設置され配水流量を計測する。   The water distribution pressure control apparatus 100 includes a demand prediction unit 103, a pressure loss calculation unit 104, a target discharge pressure calculation unit 105, and a rotation speed control unit 107. The pressure sensors 2 and 3 are respectively installed at the entrance and the end of the water distribution pipe network, and measure the discharge pressure and the end pressure, respectively. The flow sensor 4 is installed at the entrance of the distribution pipe network and measures the distribution flow rate.

DB101には、所定時刻における各種センサの計測、即ち野流量、吐出圧、末端圧の値が格納されるようになっている。図2にその一例を示す。本例では、3時間ごとにデータが計測され記憶されるようになっている。計測周期を短くして、後述する管路抵抗モデル同定精度を向上することもできる。   The DB 101 stores the measurements of various sensors at a predetermined time, that is, the values of the field flow rate, the discharge pressure, and the terminal pressure. An example is shown in FIG. In this example, data is measured and stored every 3 hours. It is also possible to improve the accuracy of pipe resistance model identification described later by shortening the measurement cycle.

管路抵抗同定手段102では、データベースに格納されたデータを利用して、管路抵抗モデルをモデル化するとともにモデル化誤算のレベルを推定する。ここで管路抵抗モデルとは、次式で与えられ、管路抵抗同定手段102を構成する計算機のメモリに記憶される。   The pipe resistance identification means 102 uses the data stored in the database to model the pipe resistance model and estimate the level of modeling error. Here, the pipe resistance model is given by the following equation and is stored in the memory of a computer constituting the pipe resistance identifying means 102.

P=Pe+h+k・Qα (1)
ここに、
P:吐出圧(m)
Pe:末端圧(m)
h:吐出圧測定点の標高(m)−末端圧測定点の標高(m)
k:定数
Q:配水流量(m/s)
α:定数(1.85や2.0の値を活用)
hは既知の実数であり管路抵抗同定手段102を構成する計算機のメモリに予め設定されている。P、Pe、Qの時系列データはDB101内に存在するので、管路抵抗同定手段102は式(1)を用いた最小2乗法により定数kを推定(算出)できる。ここでは、αも未知パラメータとして、kと共に推定することもできる。αを算出する場合は、管路抵抗同定手段102は式(1)の両辺の対数を計算した上で最小二乗法を適用する。
P = Pe + h + k · Q α (1)
here,
P: Discharge pressure (m)
Pe: Terminal pressure (m)
h: Elevation of discharge pressure measurement point (m)-Elevation of end pressure measurement point (m)
k: Constant Q: Water distribution flow rate (m 3 / s)
α: Constant (uses values of 1.85 and 2.0)
h is a known real number, and is set in advance in a memory of a computer constituting the pipe resistance identifying means 102. Since time series data of P, Pe, and Q exist in the DB 101, the pipe resistance identification unit 102 can estimate (calculate) the constant k by the least square method using the equation (1). Here, α can also be estimated together with k as an unknown parameter. When calculating α, the pipe resistance identifying means 102 applies the least square method after calculating the logarithm of both sides of the equation (1).

管路抵抗同定手段102は最小二乗法により係数kの推定値k0とともに、係数推定値のばらつきを表す標準誤差σkを推定できる。これは係数kがその推定値(期待値)を中心にどの程度ばらつくかを標準偏差で表すものである。   The pipe resistance identification means 102 can estimate the standard error σk representing the variation of the coefficient estimated value together with the estimated value k0 of the coefficient k by the least square method. This represents how much the coefficient k varies around the estimated value (expected value) as a standard deviation.

たとえば、係数kがk0−2σk以上、k0+2σk以下に入る確率は、約95%になる。これをグラフで示したものが図3である。グラフで圧力損失Hは(P−Pe)である。点線で表された2つの曲線に囲まれた範囲が95%信頼区間である。末端圧が最も大きく低下するのは上の曲線の場合、すなわちk=k0+2σkの場である。従ってk=k0+2σkの場合の管路抵抗モデルを用いて制御を行えば、末端圧をほぼ目標値以上に保つことができる。   For example, the probability that the coefficient k falls between k0-2σk and k0 + 2σk is about 95%. This is shown in a graph in FIG. In the graph, the pressure loss H is (P-Pe). A range surrounded by two curves represented by dotted lines is a 95% confidence interval. It is the case of the above curve, that is, the field where k = k0 + 2σk, that the end pressure decreases most. Therefore, if the control is performed using the pipe resistance model in the case of k = k0 + 2σk, the terminal pressure can be kept substantially higher than the target value.

図7は係数kのばらつきを考慮しない管路抵抗モデルを用いて制御を行った場合と、係数kのばらつきを考慮してk=k0+2σkの場合の管路抵抗モデルを用いて制御をおこなった場合を比較したものである。係数kのばらつきを考慮しないと目標圧をたびたび下回る可能性があるのに対して、係数kのばらつきを考慮してk=k0+2σkの場合の管路抵抗モデルを用いて制御を行えば、97.5%の確率で実際の末端圧は目標値以上になる(実際の末端圧が目標値以下になるのは2.5%の確率)ので、目標圧以上に末端圧を制御できる可能性が高まる。更にモデル値の目標圧をぎりぎりの下限に設定することでポンプ消費エネルギーを最小化できる。   FIG. 7 shows a case where control is performed using a pipe resistance model that does not consider variation in coefficient k, and control is performed using a pipe resistance model when k = k0 + 2σk in consideration of variation in coefficient k. Is a comparison. If the variation of the coefficient k is not taken into account, there is a possibility that it will often fall below the target pressure. On the other hand, if the control is performed using the pipe resistance model in the case of k = k0 + 2σk in consideration of the variation of the coefficient k, 97. Since the actual terminal pressure will exceed the target value with a probability of 5% (the probability that the actual terminal pressure will be below the target value is 2.5%), the possibility of controlling the terminal pressure above the target pressure is increased. . Furthermore, energy consumption of the pump can be minimized by setting the target pressure of the model value to the lower limit.

さて、この制御を実現するための配水圧制御装置の処理概要を図1、図5を参照しながら説明する。   Now, an outline of the process of the water distribution pressure control device for realizing this control will be described with reference to FIGS.

図1の需要予測手段103では、例えば、配水圧制御装置100がその記憶装置内に格納されている、季節や曜日ごとの需要パターンデータ(即ち、配水流量パターンデータ、例えば図5の需要パターンを示すデータ)を用いて、将来の需要を予測する。例えば、制御装置の制御周期が5分であれば、現時点の需要Q0、及び、2.5分先の需要Q2.5を検索する。現在の配水流量計測値をQとするとき、需要予測量Qfを次式で計算する。   In the demand prediction means 103 in FIG. 1, for example, the distribution pressure control device 100 stores the demand pattern data for each season and day of the week stored in the storage device (that is, the distribution flow rate pattern data, for example, the demand pattern in FIG. 5). To predict future demand. For example, if the control cycle of the control device is 5 minutes, the current demand Q0 and the demand Q2.5 2.5 minutes ahead are searched. When the current distribution flow rate measurement value is Q, the demand forecast amount Qf is calculated by the following equation.

Qf= Q-Q0+Q2.5 (2)
次に、圧力損失計算手段104では、次式に基づいて圧力損失Hを計算する。
Qf = Q-Q0 + Q2.5 (2)
Next, the pressure loss calculation means 104 calculates the pressure loss H based on the following equation.

H=h+(k0+2σk)Qf (3)
目標吐出圧計算手段105では、目標末端圧Pe0の入力を受け付けて、これに圧力損失を加算し、目標吐出圧P0を次の式で算出する。
H = h + (k0 + 2σk) Qf 2 (3)
The target discharge pressure calculation means 105 receives the input of the target end pressure Pe0, adds the pressure loss to this, and calculates the target discharge pressure P0 by the following equation.

P0=Pe0+h+(k0+2σk)Qf (4)
吐出圧制御手段106、及び、回転数制御手段107では、算出された目標吐出圧が、計測吐出圧に一致するよう各ホンプへの信号によりポンプ回転数を制御する。まず吐出圧制御手段106は、目標回転数N0を決定する。図6は、配水圧制御装置100がその記憶装置内に有しているポンプの性能特性データを図示したホンプの性能曲線を表すものであり、縦軸が流量Q、横軸が揚程Hとなっている。ポンプ1台運転、2台運転、3台運転の場合の性能曲線が描かれている。これを数式で表現すると次のようになる。
P0 = Pe0 + h + (k0 + 2σk) Qf 2 (4)
The discharge pressure control means 106 and the rotation speed control means 107 control the pump rotation speed by a signal to each pump so that the calculated target discharge pressure matches the measured discharge pressure. First, the discharge pressure control means 106 determines the target rotation speed N0. FIG. 6 shows a performance curve of a pump illustrating the performance characteristic data of the pump that the water distribution pressure control device 100 has in its storage device. The vertical axis represents the flow rate Q and the horizontal axis represents the head H. ing. Performance curves for single pump operation, two pump operation, and three pump operation are drawn. This can be expressed as follows:

H=fi(Q,N) (5)
ここで、H:揚程、Q:流量、N:ポンプ回転数、f:性能曲線を表現する関数、i:1,2,3の定数でポンプ運転台数に相当する。
H = fi (Q, N) (5)
Here, H: head, Q: flow rate, N: number of pump revolutions, f: function expressing performance curve, i: constants of 1, 2, 3 correspond to the number of pumps operated.

ここで、ポンプ運転台数を決定する必要があるが、それは予測流量Qfに基づいて行う。例えば、定数Q1,Q2(Q1<Q2)のもとで以下のように吐出圧制御手段106はポンプの運転台数を判定する。   Here, it is necessary to determine the number of pumps to be operated, which is performed based on the predicted flow rate Qf. For example, the discharge pressure control means 106 determines the number of operating pumps under the constants Q1 and Q2 (Q1 <Q2) as follows.

Qf<Q1の時、1台運転
Q1≦Qf<Q2の時、2台運転 (6)
Q2≦Qf の時、3台運転
(5)式を回転数について解いて次式を得る。
1 unit operation when Qf <Q1, 2 units operation when Q1 ≦ Qf <Q2 (6)
When Q2 ≦ Qf, the following equation is obtained by solving the three-unit operation (5) with respect to the rotational speed.

N=gi(H,Q) (7)
この式を利用して目標回転数N0は、次式で計算する。
N = gi (H, Q) (7)
Using this equation, the target rotational speed N0 is calculated by the following equation.

N0=gi(P0,Qf) (8)
ここで、P0:目標吐出圧、Qf:予測需要、N0:ポンプ目標回転数
次にポンプ回転数制御手段107では、計測回転数が目標回転数に一致するようポンプへの信号を制御する。 次に、図4に基づいて、以上のべた圧力制御装置の処理フローを説明する。この処理は、例えば、5分周期で実行されるようになっている。制御周期は配水圧制御装置への設定により、長くしたり短くしたりと任意の長さに設定することが可能である。制御周期を長くすると制御性能が劣化するが、短くすると演算負荷が大きくなるので、両者のトレードオフのバランスが取れる周期が設定されることが望ましい。尚、図4に示す処理は配水圧制御装置100によって実行される。
N0 = gi (P0, Qf) (8)
Here, P0: target discharge pressure, Qf: predicted demand, N0: pump target rotational speed Next, the pump rotational speed control means 107 controls the signal to the pump so that the measured rotational speed matches the target rotational speed. Next, based on FIG. 4, the process flow of the above solid pressure control apparatus is demonstrated. This process is executed, for example, at a cycle of 5 minutes. The control cycle can be set to any length such as lengthening or shortening by setting in the water distribution pressure control device. If the control cycle is lengthened, the control performance is degraded, but if it is shortened, the calculation load increases. Therefore, it is desirable to set a cycle that can balance the trade-off between the two. The process shown in FIG. 4 is executed by the water distribution pressure control apparatus 100.

まず、ステップ401では、(2)式に基づいて需要予測手段103が需要パターンデータから予測需要を計算する。ステップ402では、(3)式に基づいて圧力損失計算手段104が圧力損失を計算する。ステップ403では、(4)式に基づいて目標吐出圧計算手段105が目標吐出圧を計算する。ステップ404では、(6)式に記載した判定式を用いて回転数制御手段107がポンプ運転台数を判定する。ステップ405では、(8)式に基づいて回転数制御手段107がポンプの目標回転数を計算する。最後にステップ406では、回転数制御手段107が、計測回転数が目標回転数に一致するようポンプへの信号を制御する。以上で処理を終了する。   First, in step 401, the demand prediction means 103 calculates a predicted demand from demand pattern data based on the equation (2). In step 402, the pressure loss calculation means 104 calculates the pressure loss based on the equation (3). In step 403, the target discharge pressure calculation means 105 calculates the target discharge pressure based on the equation (4). In step 404, the rotational speed control means 107 determines the number of operating pumps using the determination formula described in the formula (6). In step 405, the rotational speed control means 107 calculates the target rotational speed of the pump based on the equation (8). Finally, in step 406, the rotation speed control means 107 controls a signal to the pump so that the measured rotation speed matches the target rotation speed. The process ends here.

以上、実施例1によれば、図7に示すように高い確率をもって末端圧を目標値以上に保持できる。また目標吐出圧をぎりぎりの下限に設定することでポンプ消費エネルギーを最小化できる。   As described above, according to the first embodiment, the terminal pressure can be maintained at a target value or higher with a high probability as shown in FIG. Moreover, the energy consumption of the pump can be minimized by setting the target discharge pressure to the lower limit.

次に、図8から図10を参照し、第2の実施例を説明する。この実施例においては、消化栓流量などの突発需要発生時にも、末端圧を目標値に維持可能な圧力制御方法を提供するものである。   Next, a second embodiment will be described with reference to FIGS. In this embodiment, there is provided a pressure control method capable of maintaining the terminal pressure at a target value even when sudden demand such as digestive plug flow occurs.

図8に配水圧力制御システムの全体構成図を示す。実施例1と異なる点は、配水管網1に消化栓801、802が設けられている点、その消化栓流量を計測するセンサ803、804が設けられている点、配水圧制御装置内に臨時処理判定手段805が設けられている点である。その他の処理は、実施例1と同じである。   FIG. 8 shows an overall configuration diagram of the water distribution pressure control system. The difference from the first embodiment is that the water distribution pipe network 1 is provided with digestive plugs 801 and 802, the sensors 803 and 804 for measuring the flow rate of the digestive plugs are provided, and a temporary provision in the water distribution pressure control device. A processing determination means 805 is provided. Other processes are the same as those in the first embodiment.

臨時処理判定手段805は、消化栓流量発生に伴い、臨時の制御処理が必要かどうかを判定し、臨時の制御処理が必要な場合には図4に示す配水圧制御処理を起動するものである。臨時処理判定手段805による処理は、図4に示す配水圧制御処理の制御周期(5分)より、かなり短い周期例えば、100msで実行される。   The temporary process determination means 805 determines whether or not a temporary control process is necessary when the digestive plug flow rate is generated, and activates the water distribution pressure control process shown in FIG. 4 when the temporary control process is necessary. . The process by the temporary process determination means 805 is executed at a considerably shorter period, for example, 100 ms than the control period (5 minutes) of the water distribution pressure control process shown in FIG.

時刻tの消化栓1の流量q1(t)、消化栓2の流量q2(t)としたとき、臨時処理判定手段805は以下の条件が満足されるかどうかを判定する。   Assuming that the flow rate q1 (t) of the digestive plug 1 and the flow rate q2 (t) of the digestive plug 2 at time t, the temporary processing determination unit 805 determines whether or not the following conditions are satisfied.

|q1(t)−q1(t−0.1)|>ある閾値、
あるいは、 (9)
|q2(t)−q2(t−0.1)|>ある閾値
これらの条件は、消化栓流量の発生や、その停止の瞬間を判定するものである。
これらの判定条件が満たされる限り、配水圧制御装置100は100msの周期で、図4の配水圧制御処理を実行する。これにより、火災などの突発的な需要の発生や需要の消失時に手適応して末端圧の急速な低下や上昇を防止できる。
| Q1 (t) −q1 (t−0.1) |> a certain threshold value,
Or (9)
| Q2 (t) −q2 (t−0.1) |> a certain threshold value These conditions are used to determine the occurrence of the digestive plug flow and the moment when it stops.
As long as these determination conditions are satisfied, the water distribution pressure control apparatus 100 executes the water distribution pressure control process of FIG. 4 at a cycle of 100 ms. As a result, it is possible to prevent a rapid decrease or increase in the terminal pressure by adapting when sudden demand such as a fire occurs or when the demand disappears.

図10に本臨時処理のフローを示す。図10に示す処理は100msの起動周期で実行される。
ステップ1001では、臨時処理判定手段805が消化栓流量の変化量Δq1、Δq2を次式に基づき計算する。
FIG. 10 shows a flow of this temporary processing. The process shown in FIG. 10 is executed with a startup period of 100 ms.
In step 1001, the temporary processing determination means 805 calculates the changes Δq1 and Δq2 in the digestive plug flow based on the following equations.

Δq1=|q1(t)−q1(t−0.1)| (10)
Δq2=|q2(t)−q2(t−0.1)| (11)
ステップ1002では、臨時処理判定手段805がこれらの変化量が予め定められた所定の閾値以上かどうかを判定する。所定の閾値未満なら処理終了、所定の閾値以上ならステップ1003に進む。ステップ1003では臨時処理判定手段805が図4に示す配水圧制御処理を起動する。但し、需要予測401は実行されない。需要パターンデータに代わり、需要予測手段103は流量センサ4から最新の流量計測値を取得しこの値をQfとする。そして以降各手段はこのQfに基いて、各種状態量を計算する。
Δq1 = | q1 (t) −q1 (t−0.1) | (10)
Δq2 = | q2 (t) −q2 (t−0.1) | (11)
In step 1002, the temporary processing determination unit 805 determines whether or not the amount of change is equal to or greater than a predetermined threshold value. If it is less than the predetermined threshold, the process ends. In step 1003, the temporary process determination means 805 starts the water distribution pressure control process shown in FIG. However, the demand forecast 401 is not executed. Instead of the demand pattern data, the demand prediction means 103 acquires the latest flow rate measurement value from the flow rate sensor 4 and sets this value as Qf. Thereafter, each means calculates various state quantities based on this Qf.

図9に実施例2の効果を示す。従来技術では、消化栓流量発生直後、末端圧が大きく低下するが、本発明の方式を用いると、それを防止することができる。
なお本実施例は、消化栓が2つある場合を示しているが、3個以上の場合も、同様の処理で対応可能である。
FIG. 9 shows the effect of the second embodiment. In the prior art, the terminal pressure is greatly reduced immediately after the generation of the digestive plug flow, but this can be prevented by using the method of the present invention.
In addition, although a present Example has shown the case where there are two digestive plugs, the case where there are three or more digestive plugs can be handled by the same process.

尚、本実施形態では水の突発的な需要を要するものの例として消火栓を用いたが、需要パターンに基かない需要を生じさせるものであれば、消化栓でなくても良い。   In the present embodiment, the fire hydrant is used as an example of the sudden demand for water. However, the fire hydrant may not be used as long as it generates a demand based on the demand pattern.

次に、図11から図13を参照し、実施例3を説明する。本実施例は、管路抵抗モデルとして、消化栓流量を考慮したより精緻なモデルを利用することで、より高精度に末端圧を制御しようとするものである。   Next, Embodiment 3 will be described with reference to FIGS. In this embodiment, the end pressure is controlled with higher accuracy by using a more precise model considering the digestive plug flow rate as the pipe resistance model.

図11には、配水圧制御システムの全体構成図が示されている。図8と異なるのは、データベースの入力に消化栓流量計測値が加わっている点である。これらの消化栓流量を加味して本実施形態における管路抵抗モデル同定手段1102は管路抵抗モデルの構築を行う。データベース1101には、本来の流量、圧力に加え、消火栓ごとの流量が記憶される。   FIG. 11 shows an overall configuration diagram of the water distribution pressure control system. The difference from FIG. 8 is that a digestive plug flow rate measurement value is added to the input of the database. In consideration of these digestive plug flow rates, the pipeline resistance model identifying means 1102 in this embodiment constructs a pipeline resistance model. The database 1101 stores the flow rate for each hydrant in addition to the original flow rate and pressure.

管路抵抗モデルとして次のモデルを利用する。   The following model is used as a pipe resistance model.

P=Pe+h+m1・Q+m2・Q・q+m3・q (12)
ここに、P:吐出圧(m)
Pe:末端圧(m)
h:吐出圧測定点の標高(m)−末端圧測定点の標高(m)
k:定数
Q:消化栓流量を除いた配水流量(本来の需要)(m/s)
q:消化栓流量(m/s)
消火栓流量変数qを本来の需要Qとは別に設けることで、モデルの精緻化を図っている。
P = Pe + h + m1 · Q 2 + m2 · Q · q + m3 · q 2 (12)
Where P: discharge pressure (m)
Pe: Terminal pressure (m)
h: Elevation of discharge pressure measurement point (m)-Elevation of end pressure measurement point (m)
k: Constant
Q: Distribution flow rate excluding digestive plug flow rate (original demand) (m 3 / s)
q: digestive plug flow (m 3 / s)
The model is refined by providing the hydrant flow variable q separately from the original demand Q.

管路抵抗モデル同定手段1102では、データベース1101に格納された圧力、流量の時系列を利用して最小2乗法により係数m1、m2、m3を推定するとともに、それらの係数の標準誤差σm1、σm2、σm3を算出する。qは、消火栓ごとの流量を用い、図12に示すように消火栓ごとの係数値、標準誤算を計算する。これらの計算値を用いて、圧力損失計算手段1103では、圧力損失Hを次式で計算することになる。   The pipe resistance model identification means 1102 estimates the coefficients m1, m2, m3 by the least square method using the time series of pressure and flow rate stored in the database 1101, and standard errors σm1, σm2, σm3 is calculated. q uses the flow rate for each hydrant, and calculates the coefficient value and standard miscalculation for each hydrant as shown in FIG. Using these calculated values, the pressure loss calculating means 1103 calculates the pressure loss H by the following equation.

H=h+(m10+2・σm1)Q+(m20+2・σm2)Q・q
+(m20+2・σm2)q
(13)
図13に、消火栓流量などの需要急変に対応する制御処理のフローを示す。ステップ1001、1002の処理は、図10のステップ1001,1002の処理と同様であり臨時処理判定手段805によって実行される。
H = h + (m10 + 2 · σm1) Q 2 + (m20 + 2 · σm2) Q · q
+ (M20 + 2 · σm2) q 2
(13)
FIG. 13 shows a flow of control processing corresponding to a sudden change in demand, such as a fire hydrant flow rate. The processing in steps 1001 and 1002 is the same as the processing in steps 1001 and 1002 in FIG. 10 and is executed by the temporary processing determination unit 805.

ステップ1301では、図12のテーブルを検索して流量が発生している消火栓に対応する係数値、標準誤差を求める。ここで図12に示すテーブルは管路抵抗モデル道程手段1102によって最小二乗法により算出された係数であり、配水圧制御装置100は管路抵抗モデル道程手段1102から最新の係数値を取得してメモリに格納されている。   In step 1301, the table of FIG. 12 is searched to obtain the coefficient value and standard error corresponding to the fire hydrant in which the flow rate is generated. Here, the table shown in FIG. 12 is a coefficient calculated by the least square method by the pipe resistance model path means 1102, and the water distribution pressure control device 100 acquires the latest coefficient value from the pipe resistance model path means 1102 and stores it in the memory. Stored in

ステップ1302では、圧力損失計算手段1103が(12)式を利用して圧力損失を計算する。その後のステップ403から406の処理は、図4の同じステップ番号の処理に等しい。但し、実施例2と同様に、需要予測手段103は需要パターンデータに代わり、流量センサ4から取得した最新流量計測値をQfとする。なお、この処理は、通常行われる5分ごとの配水圧制御(図4)と平行して実行されるものである。   In step 1302, the pressure loss calculation means 1103 calculates the pressure loss using the equation (12). The subsequent processing in steps 403 to 406 is equivalent to the processing of the same step number in FIG. However, as in the second embodiment, the demand prediction unit 103 sets the latest flow rate measurement value acquired from the flow rate sensor 4 as Qf instead of the demand pattern data. In addition, this process is performed in parallel with the water distribution pressure control (FIG. 4) performed every 5 minutes normally performed.

以上、実施例3によれば、消火栓流量など突発的な需要に対して、末端圧を精密制御できる。   As described above, according to the third embodiment, the terminal pressure can be precisely controlled with respect to the sudden demand such as the flow of the fire hydrant.

なお、消化栓が同時に複数起動したときも、同様の方法で管路抵抗モデルを構築しておき、対応することが可能である。   In addition, when a plurality of digestive plugs are activated at the same time, a pipeline resistance model can be constructed by the same method to cope with it.

また、本実施例は、外乱である消化栓流量を配水区間の融通流量に置き換えることで、水融通がある場合の末端圧精密制御にも利用可能なものである。   In addition, this embodiment can be used for precise control of the terminal pressure when there is water accommodation by replacing the flow rate of the digestive plug, which is a disturbance, with the accommodation flow rate of the water distribution section.

100配水圧力制御装置
101DB
102管路抵抗モデル同定手段
103需要予測手段
104圧力損失計算手段
105目標吐出圧計算手段
106吐出圧制御手段
107回転数制御手段
100 water distribution pressure control device 101DB
102 Pipe resistance model identification means 103 Demand prediction means 104 Pressure loss calculation means 105 Target discharge pressure calculation means 106 Discharge pressure control means 107 Rotational speed control means

Claims (6)

配水地からポンプを介して配水管網へ水を配水する際の当該ポンプから当該配水管網への配水圧を制御する配水圧制御システムであって、
前記配水管網と前記ポンプの間に設置された吐出圧力計測器が計測する吐出圧と、前記配水管網から水の供給を受ける配水先の水道管と当該配水管網との間に設置された末端圧
計測器が計測する末端圧と、前記配水管網と前記ポンプとの間に設置された流量計測器が計測する流量とに基づいて、当該配水管網の管路抵抗モデルのパラメータとパラメータのばらつきを表す標準誤差を算出して管路抵抗モデルを生成する管路抵抗モデル生成部と、
前記管路抵抗モデルと前記標準誤差と予め配水圧制御システムが有する配水流量パターンとに基づいて、前記標準誤差に基づいて前記パラメータが変化した場合の前記配水管網の中で生じる水圧の圧力損失量の範囲を算出する圧力損失計算部と、
末端圧の目標値を受信し、前記圧力損失量の範囲と末端圧の目標値とに基づいて、目標吐出圧を計算する目標吐出圧計算部と、
前記目標吐出圧を達成するよう前記ポンプの回転数を制御する回転数制御部と、を有することを特徴とする配水圧制御システム。
A distribution pressure control system for controlling the distribution pressure from the pump to the distribution pipe network when distributing water from the distribution area to the distribution pipe network via the pump,
Installed between the discharge pressure measured by the discharge pressure measuring instrument installed between the water pipe network and the pump, and the water pipe of the water distribution destination receiving the water supply from the water pipe network and the water pipe network Based on the terminal pressure measured by the terminal pressure measuring device and the flow rate measured by the flow measuring device installed between the water distribution pipe network and the pump, the parameters of the pipe resistance model of the water distribution network A pipe resistance model generation unit that calculates a standard error representing a variation in parameters and generates a pipe resistance model;
Based on the pipe resistance model, the standard error, and a water distribution flow rate pattern that the water distribution pressure control system has in advance, a pressure loss of water pressure that occurs in the water distribution pipe network when the parameter changes based on the standard error A pressure loss calculation unit for calculating a range of the amount;
A target discharge pressure calculation unit that receives a target value of the terminal pressure and calculates a target discharge pressure based on the range of the pressure loss amount and the target value of the terminal pressure;
A water distribution pressure control system comprising: a rotation speed control unit that controls the rotation speed of the pump so as to achieve the target discharge pressure.
請求項1記載の配水圧制御システムであって、
前記管路抵抗モデル生成部は、前記吐出圧と前記末端圧と前記流量とに基づいて、最小二乗法により生じる標準誤差を反映させた管路抵抗モデルを生成する
ことを特徴とする配水圧制御システム。
The water distribution pressure control system according to claim 1,
The pipe resistance model generation unit generates a pipe resistance model reflecting a standard error generated by a least square method based on the discharge pressure, the terminal pressure, and the flow rate. system.
請求項1記載の配水圧制御システムであって、
所定の周期毎に前記圧力損失計算部が圧力損失量を計算し、前記目標吐出圧計算部が目標吐出圧を計算し、前記回転数制御部がポンプの回転数を制御する
ことを特徴とする配水圧制御システム。
The water distribution pressure control system according to claim 1,
The pressure loss calculation unit calculates a pressure loss amount at predetermined intervals, the target discharge pressure calculation unit calculates a target discharge pressure, and the rotation speed control unit controls the rotation speed of the pump. Distribution pressure control system.
請求項3記載の配水圧制御システムであって、
更に、前記配水管網の所定の位置に設置された流量計測器が計測した流量に基づいて、当該流量の単位時間の変化量が予め定められた値以上か否かを判定し、当該流量の単位時間の変化量が予め定められた値以上である場合には、前記周期に関わらず、前記圧力損失計算部に前記管路抵抗モデルと前記配水管網と前記ポンプとの間に設置された流量計測器が計測する流量に基づいて圧力損失量を計算させ、前記目標吐出圧計算部に目標吐出圧を計算させ、前記回転数制御部にポンプの回転数を制御させる臨時処理部を有する
ことを特徴とする配水圧制御システム。
The water distribution pressure control system according to claim 3,
Further, based on the flow rate measured by the flow rate measuring instrument installed at a predetermined position of the water distribution pipe network, it is determined whether or not the amount of change in the unit time of the flow rate is greater than or equal to a predetermined value. When the amount of change in unit time is greater than or equal to a predetermined value, the pressure loss calculation unit is installed between the pipe resistance model, the water distribution network, and the pump regardless of the period. A temporary processing unit that calculates a pressure loss amount based on a flow rate measured by a flow rate measuring device, causes the target discharge pressure calculation unit to calculate a target discharge pressure, and causes the rotation speed control unit to control the rotation speed of the pump; Water pressure control system characterized by.
請求項3記載の配水圧制御システムであって、
更に、前記配水管網の所定の位置に設置された流量計測器が計測した流量に基づいて、当該流量の単位時間の変化量が予め定められた値以上である場合には、
前記管路抵抗モデル生成部に、前記所定の位置に設置された流量計測器が計測した流量と、前記配水管網と前記ポンプとの間に設置された流量計測器が計測する流量と、前記吐出圧と、前記末端圧とに基づいて管路抵抗モデルを生成させ、
前記周期に関わらず、前記圧力損失計算部に当該管路抵抗モデルと前記配水管網と前記ポンプとの間に設置された流量計測器が計測する流量とに基づいて圧力損失量を計算させ、
前記目標吐出圧計算部に目標吐出圧を計算させ、前記回転数制御部にポンプの回転数を制御させる臨時処理部を有する
ことを特徴とする配水圧制御システム。
The water distribution pressure control system according to claim 3,
Furthermore, based on the flow rate measured by the flow rate measuring device installed at a predetermined position of the water distribution pipe network, when the amount of change in unit time of the flow rate is greater than or equal to a predetermined value,
In the pipe resistance model generation unit, the flow rate measured by the flow rate measuring instrument installed at the predetermined position, the flow rate measured by the flow rate measuring instrument installed between the water distribution pipe network and the pump, and A pipeline resistance model is generated based on the discharge pressure and the terminal pressure,
Regardless of the period, the pressure loss calculation unit is made to calculate the pressure loss amount based on the pipe flow resistance model and the flow rate measured by the flow meter installed between the distribution pipe network and the pump,
A water distribution pressure control system comprising: a temporary processing unit that causes the target discharge pressure calculation unit to calculate a target discharge pressure and causes the rotation speed control unit to control the rotation speed of the pump.
請求項4乃至5記載の配水圧制御システムであって、
流量計測器が設置される前記配水管網の所定の位置とは、前記配水管網に設置されている消火栓への配水口である
ことを特徴とする配水圧制御システム。
A water distribution pressure control system according to claim 4,
The water distribution pressure control system according to claim 1, wherein the predetermined position of the water distribution pipe network where the flow measuring device is installed is a water distribution port to a fire hydrant installed in the water distribution pipe network.
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