EP2258949A1 - Method for recording characteristic values, in particular values, in particular of parameters of a centrifugal pump powered by an electric motor integrated into an assembly - Google Patents
Method for recording characteristic values, in particular values, in particular of parameters of a centrifugal pump powered by an electric motor integrated into an assembly Download PDFInfo
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- EP2258949A1 EP2258949A1 EP09007299A EP09007299A EP2258949A1 EP 2258949 A1 EP2258949 A1 EP 2258949A1 EP 09007299 A EP09007299 A EP 09007299A EP 09007299 A EP09007299 A EP 09007299A EP 2258949 A1 EP2258949 A1 EP 2258949A1
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- pump
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04D—NON-POSITIVE-DISPLACEMENT PUMPS
- F04D15/00—Control, e.g. regulation, of pumps, pumping installations or systems
- F04D15/0088—Testing machines
Definitions
- centrifugal pumps are typically used in the form of centrifugal pump units, consisting of the actual pump and a mechanically connected electric drive motor.
- centrifugal pump unit To operate the centrifugal pump unit on the one hand energetically favorable, on the other hand optimally adapted to the purpose, it already counts today in centrifugal pump units of small design to the state of the art to equip them with a speed controller, typically an electronic frequency converter.
- a speed controller typically an electronic frequency converter.
- Such centrifugal pump units with speed controller are used in systems, for example in heating systems, in Fökalienhebeanlagen, in wastewater systems, in facilities for the promotion of groundwater from a well, to name just a few typical applications,
- centrifugal pump units to provide within the pump housing, a pressure sensor, typically a differential pressure sensor which detects the pressure generated by the pump between the suction and discharge side, so the delivery height.
- electrical quantities of the motor such as the power consumption of the motor and the frequency with which the speed controller feeds the motor, are detected.
- the invention has for its object to provide a method by which the aforementioned disadvantages can be avoided as far as possible and with simple technical means allows detection of the hydraulic variables of the pump during operation.
- the method according to the invention serves to determine characteristic values, in particular parameters of an electric motor-driven centrifugal pump assembly with speed controller integrated in a system. These characteristic values are determined on the basis of electrical variables of the motor and / or the speed controller on the one hand and of the pressure generated by the pump on the other hand, at least two different operating points of the pump are approached successively, the flow rates determined in the approached operating points plant side and the characteristic values be determined with it.
- the characteristic values in particular the parameters
- at least two operating points are approached to set the characteristic values at least with an accuracy that allows meaningful conclusions in later operation. It is understood that when starting from only two operating points, the characteristic values can not necessarily be determined unambiguously. Therefore, according to the invention, at least three, four or nine, thirteen or even more operating points are preferably approached to a sufficient number It is understood that as the number of operating points increases, not only does the accuracy of the determined characteristic values, in particular parameters, increase, but above that In addition, the accuracy of the system to be determined flow rates.
- a speed controller typically a frequency converter, which can vary the electrical energy added to the motor at least in terms of frequency, but typically also in terms of voltage in a wide range.
- the case among other things to be detected electrical variables of the engine, namely the power consumption and the frequency can, if necessary, be replaced by appropriate sizes of the speed controller. These variables are usually available on the speed controller, so they need not be detected by separate sensors.
- the pressure generated by the pump can by a differential pressure sensor on the pump, but also by other suitable pressure transducer elsewhere, z. B. be measured at a distance from the pressure outlet of the pump.
- any involvement of a centrifugal pump unit to understand, for example, a sewage lifting system, a system in which promotes a centrifugal pump unit as a submersible pump from a well, a system in which promotes a centrifugal pump unit in a surge tank, wastewater systems with several centrifugal pump units and the like ,
- the characteristic values to be determined are parameters which are part of a function following the model laws of motor and / or pump or also functions which are preferably formed in parameter-linear form.
- the latter makes it possible to determine concrete values on the basis of concrete operating points in a simple manner, without further differential consideration. Since this function or functions follow the model laws of the engine and / or pump, only a few operating points result in a practically usable result when starting up.
- a function determining the delivery rate which has at least one first term with a hydraulic and / or electrical performance-dependent variable and a second term with a hydraulic and / or electrical performance-dependent variable, which are each multiplicatively linked to one of the parameters.
- Specifying such a function as a function of the delivery rate is particularly favorable since the delivery rate in the approached operating points is determined on the installation side and can therefore be used directly for determining the characteristic values.
- a function determining the flow rate of the above-mentioned type is particularly advantageous if the flow rate, for example in wastewater treatment plants, can not be detected accurately but, for example, only averaged over time. For then this comparatively uncertain value stands on one side of the equation.
- the parameters can then be determined with comparatively high accuracy by repeated starting and also the same operating point, since the accuracy of the applied delivery quantity also increases as the number of approached operating points and detected values increases. This applies in particular on the basis of the parameter-linear equations described below.
- q is the delivery rate of the pump
- p is the discharge pressure of the pump, that is, for example, the differential pressure between suction and discharge side
- ⁇ r the rotational speed of the pump
- T the drive torque of the pump
- ⁇ 1 to ⁇ 3 the parameters of the sub-pump model to be determined
- p represents the delivery pressure of the pump
- ⁇ r the rotational speed of the pump
- T the driving torque of the pump
- ⁇ 0 to ⁇ 8 represent the parameters of the sub-pump model to be determined.
- This frequency value ⁇ e is available in the speed controller and therefore does not need to be determined.
- the same applies to the determination of the drive torque T of the pump. This can be easily determined by determining that from the quotient of the electric power P e received by the motor and the frequency ⁇ e the power supply of the motor or the rotational speed of the pump ⁇ r is formed. T P e ⁇ e
- the electric power P e picked up by the motor is also available on the speed controller since voltage and current are constantly detected there.
- the method according to the invention at least estimatedly requires the resulting delivery rate q of the pump.
- the pump unit when used in a pressure-balanced container, typically a well shaft or the like, it can be determined, at least approximately, by detecting the change over time of the liquid level in the shaft from which the pump is pumping, on the one hand with the pump switched off to detect the inlet, and on the other hand with the pump switched on in the respective operating point.
- the shaft geometry, d. h in particular the size of the shaft cross-section, if necessary, depending on the level height when the shaft is formed, for example, tapered to assign the height difference of the liquid level corresponding amount of liquid can.
- the detection of the liquid level can be done in a simple manner by a pressure measurement, so for example by a pressure sensor in the pump, which detects the static pressure when the pump is switched off.
- the level can also be detected mechanically or the delivery rate of the pump can be detected directly, if this is advantageous.
- the parameters can be determined by conventional methods, as is well-known in the calculation of the inflow of boreholes per se.
- the method according to the invention is advantageously further developed for applications in which the pump unit conveys into an expansion tank, in that the flow rates in the approached operating points are determined by the change with time of the pressure in the expansion tank of the installation into which the pump is conveying taking into account the change over time of the tank pressure once with the pump switched on and the other time with the pump switched off, in each case over a predetermined period of time.
- the delivery rate can be determined during later operation of the pump, without a flow monitor or a sensor to use for this. It can thus advantageously be determined solely on the basis of the electrical parameters such. B., power consumption and frequency of the engine and a pressure measurement, the flow rate. If necessary, other plant sizes can also be determined, for example, the amount of liquid flowing into the well or the system.
- this can also be used to monitor the function of the pump unit by the characteristic values, in particular the parameters are determined again at a time interval and compared with the previously determined. If these values agree with a given tolerance, it can be assumed that the function of the pump set is unchanged. However, if these deviate significantly or significantly from those determined previously, a functional impairment of the pump is to be determined, for example due to the leakage of a seal, due to the increased friction in the event of a defect in a bearing or the like.
- the method according to the invention is preferably carried out automatically with the aid of a corresponding control, which can be part of the digital control of a frequency converter, for example, by automatically determining and processing the characteristic values.
- the pump unit is first operated in an identification mode in which it automatically approaches several hydraulic operating points to determine the characteristic values, in particular parameters and subsequently put into an operating mode in which the previously determined characteristic values for determining the operating size of the system, in particular the flow rate of the pump unit can be used. If the characteristic values have to be determined again for a certain time to monitor the pump set, the pump set is put back in the 1-dentification mode and these values are again determined and then compared with the pre-determined or the originally determined.
- Fig. 1 illustrates, in an identification mode 1, the pump unit is identified, d, h.
- the characteristic sizes of the pump set are determined by at least two, but preferably a plurality of operating points is approached, in each of the operating points, the electrical power of the motor, the speed of the motor or simplifies the frequency of the supply voltage of the motor and that of the pump achieved delivery pressure is determined.
- the quantity delivered in each case is determined on the plant side.
- identification mode 1 the parameters are also determined, then the pump set runs in operating mode 2 to return to the identification mode 1 after a predetermined time (eg one hour or one week), where the parameters are again determined.
- a predetermined time eg one hour or one week
- a comparison of the now determined parameters with the previously determined parameters allows an assessment in the simplest form of the function of the pump up to the detection of a change in efficiency, as they are based on Fig. 8 is shown. For the latter, the parameter acquisition of equations (a) and (c) or (b) and (c) is required, whereas for pure function monitoring the parameter detection of equations (a) and (b) or (c) is sufficient.
- a plant is shown, as it is given for example for the promotion of waste water from a shaft.
- the shaft 3 in Fig. 2 is, as usual in systems of this type, designed as an upwardly open vessel.
- the liquid level 4 moves in the inlet of liquid q in upward and with the pump switched on according to the flow rate q pump down.
- the pump delivers at the pressure p, which is the differential pressure between suction and discharge side.
- the feed into the shaft 3 is not constant, it is averaged over a time interval ⁇ t ( q m ) as quasi-constant. From the change in the liquid level 4 and on the basis of the shaft cross-section 3 then results in an inflow and with decreasing liquid level 4, when the pump is pumping, a flow rate q out . Since even during the time when the pump is pumping, liquid in the shaft 3 runs, q in so quasi constant, resulting from the sum of the discharge amount q out and q in the flow rate of the pump.
- FIG. 3 shows the level heights in shaft 3 as a function of time t.
- first measuring interval 6 is multiplied in the time in which the pump is switched off, the liquid level changing detected 6 over time ⁇ t and with the shaft cross-section A (h). This results in an inflow amount q in per unit of time flowing into the shaft 3.
- the pump is turned on and runs at a first operating point until the liquid level 4 again has the original given at the beginning of the interval 6 level. This then allows the delivery rate q pump P ump ermittein.
- the inflow into the shaft is to be determined during the entire time when the pump is turned off, to the extent that is more favorable on the basis of Fig. 4 illustrated method in which the intervals 10 and 11, are divided into partial time sections ⁇ t 1 to ⁇ t 9, wherein the time intervals ⁇ t can be chosen arbitrarily or randomly, so that there is a certain statistical distribution.
- a system is shown in which the pump unit is designed as a well pump 12, which in a wellbore 13 is arranged.
- the borehole pump 12 conveys the water collecting in the borehole 13 to the surface.
- Z w is the current water level in the shaft 3, ie the liquid level.
- Z g represents the groundwater level, d. h, the water level that would be reached if not pumped out and Z f the filter inlet pressure, ie the level of water needed to bypass the filter typically formed by sand around the well shaft.
- Fig. 6 shown plant promotes the pump 14 in an expansion tank 15, d, h. in a closed container 15, which is at least partially filled with a compressible gas which is more or less compressed depending on the level, that is, that the pressure within the expansion tank 15 is variable.
- the delivery rate here is both outflowing (p out ) and inflowing (p in ) depending on the pressure within the container 15, to determine the delivery rate of the pump, the equation (g) is used, which determines the delivery rate as a function of the pressure p out in the expansion tank or at the end of the discharge line and the pressure change ⁇ p out and a constant K e of the expansion tank considered.
- the time interval 16 For example, while the pump is turned off, and the time interval 17 while the pump is turned on, to divide into a plurality of time intervals ⁇ t 1 to ⁇ t 9 and to detect the pressure changes ⁇ p out resulting in these time intervals, to thereby to improve the accuracy of the result.
- the Fig. 8 shows by way of example two curves, which are formed by means of the sub-pump models (b) and (c) and which represent the efficiency of the pump ⁇ above the delivery rate.
- the curve 18 has been detected at the beginning of the operation, whereas the curve 19 after a considerable period of operation, so after one or several times has been switched to the operating mode, z. For example, five months have been recorded.
- the efficiency of the pump set has fallen almost over the entire pump delivery range. This can be z. B. indicate a leak within the pump, in which a partial flow is shorted.
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Abstract
Description
Die Anwendung von Kreiselpumpen zählt heute auf nahezu allen technischen Gebieten zum Stand der Technik. Typischerweise werden Kreiselpumpen in Form von Kreiselpumpenaggregaten eingesetzt, bestehend aus der eigentlichen Pumpe und einem mechanisch damit verbundenen elektrischen Antriebsmotor.The use of centrifugal pumps is today the state of the art in almost all technical fields. Centrifugal pumps are typically used in the form of centrifugal pump units, consisting of the actual pump and a mechanically connected electric drive motor.
Um das Kreiselpumpenaggregat einerseits energetisch günstig zu betreiben, andererseits möglichst optimal dem Einsatzzweck anzupassen, zählt es heute auch schon bei Kreiselpumpenaggregaten kleiner Bauart zum Stand der Technik, diese mit einem Drehzahlsteller, typischerweise einem elektronischen Frequenzumrichter auszustatten. Derartige Kreiselpumpenaggregate mit Drehzahlsteller werden in Anlagen eingesetzt, sei es beispielsweise in Heizungsanlagen, in Fökalienhebeanlagen, in Abwasseranlagen, in Anlagen zur Förderung von Grundwasser aus einem Bohrloch, um hier nur einige typische Anwendungen zu nennen,To operate the centrifugal pump unit on the one hand energetically favorable, on the other hand optimally adapted to the purpose, it already counts today in centrifugal pump units of small design to the state of the art to equip them with a speed controller, typically an electronic frequency converter. Such centrifugal pump units with speed controller are used in systems, for example in heating systems, in Fökalienhebeanlagen, in wastewater systems, in facilities for the promotion of groundwater from a well, to name just a few typical applications,
Insbesondere in Anlagen, aber nicht nur dort, ist es wichtig, einerseits die Funktion der Anlagenteile und andererseits die Prozessgrößen zu überwachen. So ist es bei Kreiselpumpenaggregaten bekannt, innerhalb des Pumpengehäuses einen Drucksensor, typischerweise einen Differenzdrucksensor vorzusehen, welcher den von der Pumpe erzeugten Druck zwischen Saug- und Druckseite, also die Förderhöhe erfasst.Especially in plants, but not only there, it is important to monitor the function of the plant parts and the process variables on the one hand. Thus, it is known in centrifugal pump units to provide within the pump housing, a pressure sensor, typically a differential pressure sensor which detects the pressure generated by the pump between the suction and discharge side, so the delivery height.
Darüber hinaus werden elektrische Größen des Motors wie beispielsweise die Leistungsaufnahme des Motors und die Frequenz, mit welcher der Drehzahlsteller den Motor speist, erfasst.In addition, electrical quantities of the motor, such as the power consumption of the motor and the frequency with which the speed controller feeds the motor, are detected.
Zur Ermittlung des hydraulischen Betriebspunktes der Pumpe genügt jedoch die Erfassung der vorgenannten Werte in der Regel nicht, da sie keine Aussage über die Fördermenge ermöglichen, Die Anordnung von Strömungswächtern zur Erfassung des Durchflusses innerhalb der Pumpe ist aufwändig und häufig auch störanfällig. Ein Strömungssensor, mit welchem die strömungsgeschwindigkeit und damit auch die Fördermenge erfasst werden kann, ist noch aufwändiger und kann insbesondere in der Abwassertechnik praktisch nicht eingesetzt werden.In order to determine the hydraulic operating point of the pump, however, the detection of the abovementioned values generally does not suffice, as they do not make any statement about the delivery rate. The arrangement of flow monitors for detecting the flow within the pump is complex and often also susceptible to faults. A flow sensor, with which the flow rate and thus the flow rate can be detected, is even more complex and can not be used practically in wastewater technology in particular.
Aus
Vor diesem Hintergrund liegt der Erfindung die Aufgabe zugrunde, ein Verfahren zu schaffen, mit dem die vorgenannten Nachteile nach Möglichkeit vermieden werden können und das mit einfachen technischen Mitteln eine Erfassung auch der hydraulischen Größen der Pumpe im Betrieb erlaubt.Against this background, the invention has for its object to provide a method by which the aforementioned disadvantages can be avoided as far as possible and with simple technical means allows detection of the hydraulic variables of the pump during operation.
Diese Aufgabe wird erfindungsgemäß durch ein Verfahren mit den in Anspruch 1 angegebenen Merkmalen gelöst. Vorteilhafte Ausgestaltungen der Erfindung ergeben sich aus den Unteransprüchen sowie der nachfolgenden Beschreibung und der Zeichnung. Sowohl die Merkmale der Unteransprüche als auch die der nachfolgenden Beschreibung können, soweit dies zweckmäßig erscheint, auch für sich sowie in anderer als der beschriebenen Kombination eingesetzt werden.This object is achieved by a method having the features specified in
Das erfindungsgemäße Verfahren dient zur Ermittlung von charakteristischen Werten, insbesondere von Parametern eines in einer Anlage eingebundenen elektromotorisch angetriebenen Kreiselpumpenaggregates mit Drehzahlsteller. Diese charakteristischen Werte werden anhand elektrischer Größen des Motors und/oder des Drehzahlstellers einerseits sowie des von der Pumpe erzeugten Drucks andererseits ermittelt, Es werden hierzu nacheinander mindestens zwei unterschiedliche Betriebspunkte der Pumpe angefahren, wobei die Fördermengen in den angefahrenen Betriebspunkte anlaganseitig ermittelt und die charakteristischen Werte damit bestimmt werden.The method according to the invention serves to determine characteristic values, in particular parameters of an electric motor-driven centrifugal pump assembly with speed controller integrated in a system. These characteristic values are determined on the basis of electrical variables of the motor and / or the speed controller on the one hand and of the pressure generated by the pump on the other hand, at least two different operating points of the pump are approached successively, the flow rates determined in the approached operating points plant side and the characteristic values be determined with it.
Nach Bestimmung der charakteristischen Werte, insbesondere der Parameter, können dann im Weiteren nur unter Heranziehung elektrischer Größen des Motors bzw, des Drehzahlstellers und des von der Pumpe erzeugten Drucks sowohl die hydraulischen Betriebsgrößen der Pumpe als auch weitergehende Funktionen erfasst bzw. kontrolliert werden. Dabei ist gemäß der Erfindung vorgesehen, dass mindestens zwei Betriebspunkte angefahren werden, um die charakteristischen Werte zumindest mit einer Genauigkeit festzulegen, die sinnvolle Rückschlüsse im späteren Betrieb ermöglicht. Es versteht sich, dass beim Anfahren von nur zwei Betriebspunkten die charakteristischen Werte nicht notwendigerweise eindeutig ermittelt werden können. Bevorzugt werden daher gemäß der Erfindung mindestens drei, vier oder neun, dreizehn oder gar mehr Betriebspunkte angefahren, um eine ausreichende Anzahl von charakteristischen Werten mit genügender Genauigkeit zu erfassen, um dann später auf die Erfassung von Fördermengen auch anlagenseitig weitgehend verzichten zu können, Es versteht sich, dass mit zunehmender Anzahl der Betriebspunkte nicht nur die Genauigkeit der ermittelten charakteristischen Werte, insbesondere Parameter, zunimmt, sondern darüber hinaus auch die Genauigkeit der anlagenseitig zu bestimmenden Fördermengen.After determining the characteristic values, in particular the parameters, it is then possible to detect or control both the hydraulic operating variables of the pump and further functions only by using electrical variables of the motor or the speed controller and the pressure generated by the pump. It is provided according to the invention that at least two operating points are approached to set the characteristic values at least with an accuracy that allows meaningful conclusions in later operation. It is understood that when starting from only two operating points, the characteristic values can not necessarily be determined unambiguously. Therefore, according to the invention, at least three, four or nine, thirteen or even more operating points are preferably approached to a sufficient number It is understood that as the number of operating points increases, not only does the accuracy of the determined characteristic values, in particular parameters, increase, but above that In addition, the accuracy of the system to be determined flow rates.
Unter elektromotorisch angetriebenem Kreiselpumpenaggregat im Sinne der Erfindung ist ein Elektromotor mit davon angetriebener Kreiselpumpe zu verstehen, die typischerweise eine gemeinsame Welle aufweisen. Dem Aggregat zugeordnet ist ein Drehzahlsteller, typischerweise ein Frequenzumrichter, welcher die dem Motor zugefügte elektrische Energie zumindest hinsichtlich der Frequenz, typischerweise jedoch auch hinsichtlich der Spannung in weiten Bereich verändern kann. Die dabei unter anderem zu erfassenden elektrischen Größen des Motors, nämlich die Leistungsaufnahme und die Frequenz können ggf, durch entsprechende Größen des Drehzahlstellers ersetzt werden. Diese Größen stehen drehzahlstellerseitig üblicherweise zur Verfügung, brauchen also nicht durch gesonderte Messaufnehmer erfasst zu werden. Der von der Pumpe erzeugte Druck kann durch einen Differenzdruckaufnehmer an der Pumpe, aber auch durch geeignete andere Druckaufnehmer auch an anderer Stelle, z. B. mit Abstand zum Druckausgang der Pumpe gemessen werden.Under electric motor-driven centrifugal pump assembly in the context of the invention is an electric motor with driven centrifugal pump to understand it, which typically have a common shaft. Associated with the unit is a speed controller, typically a frequency converter, which can vary the electrical energy added to the motor at least in terms of frequency, but typically also in terms of voltage in a wide range. The case among other things to be detected electrical variables of the engine, namely the power consumption and the frequency can, if necessary, be replaced by appropriate sizes of the speed controller. These variables are usually available on the speed controller, so they need not be detected by separate sensors. The pressure generated by the pump can by a differential pressure sensor on the pump, but also by other suitable pressure transducer elsewhere, z. B. be measured at a distance from the pressure outlet of the pump.
Unter Anlage im Sinne der Erfindung ist jede Einbindung eines Kreiselpumpenaggregates zu verstehen, beispielsweise eine Abwasserhebeanlage, eine Anlage, bei der ein Kreiselpumpenaggregat als Tauchpumpe aus einem Bohrloch fördert, eine Anlage, bei der ein Kreiselpumpenaggregat in einen Ausgleichsbehälter fördert, Abwasseranlagen mit mehreren Kreiselpumpenaggregaten und dergleichen.Under plant within the meaning of the invention, any involvement of a centrifugal pump unit to understand, for example, a sewage lifting system, a system in which promotes a centrifugal pump unit as a submersible pump from a well, a system in which promotes a centrifugal pump unit in a surge tank, wastewater systems with several centrifugal pump units and the like ,
Gemäß einer vorteilhaften Weiterbildung des erfindungsgemäßen Verfahrens handelt es sich bei den zu ermittelnden charakteristischen Werten um Parameter, die Teil einer den Modellgesetzen von Motor und/oder Pumpe folgenden Funktion oder auch Funktionen sind, die vorzugsweise in parameterlinearer Form gebildet sind. Letzteres ermöglicht es, in einfacher Weise konkrete Werte anhand konkreter Betriebspunkte zu ermitteln, ohne weitere differentiale Betrachtung. Da diese Funktion oder Funktionen den Modellgesetzen von Motor und/oder Pumpe folgen, ergibt sich schon beim Anfahren nur weniger Betriebspunkte ein praxisverwertbares Ergebnis.According to an advantageous development of the method according to the invention, the characteristic values to be determined are parameters which are part of a function following the model laws of motor and / or pump or also functions which are preferably formed in parameter-linear form. The latter makes it possible to determine concrete values on the basis of concrete operating points in a simple manner, without further differential consideration. Since this function or functions follow the model laws of the engine and / or pump, only a few operating points result in a practically usable result when starting up.
Vorteilhaft wird dabei eine die Fördermenge bestimmende Funktion benutzt, die mindestens einen ersten Term mit einer hydraulischen und/oder elektrischen leistungsabhängigen Größe und einen zweiten Term mit einer hydraulischen und/oder elektrischen leistungsabhängigen Größe aufweist, die jeweils mit einem der Parameter multiplikativ verknüpft sind. Eine solche Funktion als Funktion der Fördermenge anzugeben, ist besonders günstig, da die Fördermenge in den angefahrenen Betriebspunkten anlagenseitig ermittelt wird und somit direkt zur Ermittlung der charakteristischen Werte eingesetzt werden kann. Eine die Fördermenge bestimmende Funktion der oben genannten Art zur verwenden ist insbesondere dann von Vorteil, wenn die Fördermenge, wie beispielsweise in Abwasseranlagen, nicht exakt, sondern beispielsweise nur zeitlich gemittelt erfasst werden kann. Dann nämlich steht dieser vergleichsweise unsichere Wert auf einer Seite der Gleichung. Es können dann gegebenenfalls durch mehrfaches Anfahren auch desselben Betriebspunktes die Parameter mit vergleichsweise hoher Genauigkeit bestimmt werden, da mit zunehmender Zahl der angefahrenen Betriebspunkte und erfassten Werte auch die Genauigkeit der angesetzten Fördermenge zunimmt. Dies gilt insbesondere unter Zugrundelegung der im Folgenden noch beschriebenen parameterlinearen Gleichungen.Advantageously, a function determining the delivery rate is used, which has at least one first term with a hydraulic and / or electrical performance-dependent variable and a second term with a hydraulic and / or electrical performance-dependent variable, which are each multiplicatively linked to one of the parameters. Specifying such a function as a function of the delivery rate is particularly favorable since the delivery rate in the approached operating points is determined on the installation side and can therefore be used directly for determining the characteristic values. A function determining the flow rate of the above-mentioned type is particularly advantageous if the flow rate, for example in wastewater treatment plants, can not be detected accurately but, for example, only averaged over time. For then this comparatively uncertain value stands on one side of the equation. If necessary, the parameters can then be determined with comparatively high accuracy by repeated starting and also the same operating point, since the accuracy of the applied delivery quantity also increases as the number of approached operating points and detected values increases. This applies in particular on the basis of the parameter-linear equations described below.
Besonders vorteilhaft wird gemäß einer Weiterbildung der Erfindung eine Funktion verwendet, bei welcher die Parameter Teil mindestens eines Teils eines Pumpenmodells bilden und wie folgt verknüpft sind:
In dieser Gleichung sind q die Fördermenge der Pumpe, p der Förderdruck der Pumpe, also beispielsweise der Differenzdruck zwischen Saug-und Druckseite, ωr die Drehgeschwindigkeit der Pumpe, T das Antriebsdrehmoment der Pumpe und γ1 bis γ3 die zu ermittelnden Parameter des Teilpumpenmodells. Zur Ermittlung dieser Parameter γ1 bis γ3 sind mindestens zwei Betriebspunkte anzufahren, um diese zumindest näherungsweise zu bestimmen. Es versteht sich, dass dann noch keine eindeutige Lösung gegeben ist, jedoch aufgrund dessen, dass die Gleichung (a) einen Teil eines Pumpenmodells darstellt, schon für einige Anwendungen hinreichend aussagekräftig sein kann.In this equation, q is the delivery rate of the pump, p is the discharge pressure of the pump, that is, for example, the differential pressure between suction and discharge side, ω r the rotational speed of the pump, T the drive torque of the pump and γ 1 to γ 3 the parameters of the sub-pump model to be determined , To determine these parameters γ 1 to γ 3 , at least two operating points are to be approached in order to determine them at least approximately. It is understood that then there is still no clear solution, but due to the fact that the equation (a) represents a part of a pump model, even for some applications can be sufficiently meaningful.
Alternativ zu dem vorgenannten Teilpumpenmodell gemäß Gleichung (a) kann das Teilpumpenmodell gemäß Gleichung (b), die lautet
verwendet werden, das gegenüber dem vorbeschriebenen Teilpumpenmodell um den Term
be used, compared to the above-described sub-pump model by the term
Alternativ oder zusätzlich kann gemäß einer vorteilhaften Weiterbildung der Erfindung ein Teilpumpenmodell eingesetzt werden, bei dem die Parameter wie folgt verknüpft sind:
wobei p den Förderdruck der Pumpe, ωr die Drehgeschwindigkeit der Pumpe, T das Antriebsdrehmoment der Pumpe und θ0 bis θ8 die zu ermittelnden Parameter des Teilpumpenmodells darstellen. Die Gleichungen (a), (b) und (c) stellen jeweils Teile eines Pumpenmodells dar, bilden also zusammen ((α) und (c) bzw. (b) und (c)) ein vollständiges Pumpenmodell, weshalb es besonders vorteilhaft ist, die Parameter beider Gleichungen zu bestimmen, da dann eine vollständige hydraulische Leistungskurve der Pumpe mit hoher Genauigkeit nachgebildet werden kann. Es versteht sich, dass dann eine entsprechend Vielzahl von unterschiedlichen Betriebspunkten anzufahren ist, um die Vielzahl der zu ermittelnden Parameter bestimmen zu können.Alternatively or additionally, according to an advantageous development of the invention, a partial pump model can be used in which the parameters are linked as follows:
where p represents the delivery pressure of the pump, ω r the rotational speed of the pump, T the driving torque of the pump and θ 0 to θ 8 represent the parameters of the sub-pump model to be determined. The equations (a), (b) and (c) each represent parts of a pump model, so together form ((a) and (c) or (b) and (c)) a complete pump model, which is why it is particularly advantageous To determine the parameters of both equations, since then a complete hydraulic power curve of the pump can be replicated with high accuracy. It goes without saying that then a corresponding multiplicity of different operating points must be approached in order to be able to determine the multiplicity of parameters to be determined.
Eine vorteilhafte Weiterbildung, insbesondere Vereinfachung des erfindungsgemäßen Verfahrens ergibt sich dadurch, dass auf die Ermittlung der Drehgeschwindigkeit der Pumpe ωr verzichtet wird und diese vereinfacht der Frequenz ωe der Spannungsversorgung des Motors gleichgesetzt wird.
Dieser Frequenzwert ωe steht im Drehzahlsteller zur Verfügung und braucht daher nicht ermittelt zu werden. Entsprechendes gilt für die Ermittlung des Antriebsdrehmoments T der Pumpe. Dies kann vereinfacht dadurch ermittelt werden, dass dieses aus dem Quotient der vom Motor aufgenommenen elektrischen Leistung Pe und der Frequenz ωe der Spannungsversorgung des Motors bzw. der Drehgeschwindigkeit der Pumpe ωr gebildet wird.
Auch die vom Motor aufgenommene elektrische Leistung Pe steht drehzahlstellerseitig zur Verfügung, da Spannung und Strom dort ständig erfasst werden.The electric power P e picked up by the motor is also available on the speed controller since voltage and current are constantly detected there.
Das erfindungsgemäße Verfahren benötigt zur Ermittlung der charakteristischen Werte in den angefahrenen Betriebspunkten zumindest abschätzungsweise die sich ergebende Fördermenge q der Pumpe. Gemäß der Erfindung kann diese beim Einsatz des Pumpenaggregats in einem druckausgeglichenen Behältnis, typischerweise einem Brunnenschacht oder dergleichen, zumindest in Näherung dadurch ermittelt werden, dass die zeitliche Änderung des Flüssigkeitsstandes im Schacht erfasst wird, aus dem die Pumpe fördert, und zwar einerseits bei ausgeschalteter Pumpe, um den Zulauf zu erfassen, und andererseits bei eingeschalteter Pumpe in dem jeweiligen Betriebspunkt. Weiter erforderlich ist die Kenntnis der Schachtgeometrie, d. h, insbesondere die Größe des Schachtquerschnitts, ggf, in Abhängigkeit der Füllstandshöhe, wenn der Schacht beispielsweise konisch zulaufend ausgebildet ist, um die der Höhendifferenz des Flüssigkeitsstandes entsprechende Flüssigkeitsmenge zuordnen zu können. Die Erfassung des Flüssigkeitsstandes kann in einfacher Weise durch eine Druckmessung erfolgen, also zum Beispiel durch einen Drucksensor in der Pumpe, welcher bei abgeschalteter Pumpe den statischen Druck erfasst. Alternativ kann der Füllstand auch mechanisch erfasst oder die Fördermenge der Pumpe unmittelbar erfasst werden, wenn dies vorteilhaft ist.In order to determine the characteristic values in the approached operating points, the method according to the invention at least estimatedly requires the resulting delivery rate q of the pump. According to the invention, when the pump unit is used in a pressure-balanced container, typically a well shaft or the like, it can be determined, at least approximately, by detecting the change over time of the liquid level in the shaft from which the pump is pumping, on the one hand with the pump switched off to detect the inlet, and on the other hand with the pump switched on in the respective operating point. Next is the knowledge of the shaft geometry, d. h, in particular the size of the shaft cross-section, if necessary, depending on the level height when the shaft is formed, for example, tapered to assign the height difference of the liquid level corresponding amount of liquid can. The detection of the liquid level can be done in a simple manner by a pressure measurement, so for example by a pressure sensor in the pump, which detects the static pressure when the pump is switched off. Alternatively, the level can also be detected mechanically or the delivery rate of the pump can be detected directly, if this is advantageous.
Wenn die Anlage durch ein Bohrloch mit einer darin befindlichen Bohrlochpumpe gebildet ist, kann gemäß einer Weiterbildung der Erfindung die Fördermenge in dem jeweils angefahrenen Betriebspunkt anhand der zeitlichen Änderung des Flüssigkeitsstandes im Bohrloch ermittelt werden. Dabei ist die Flüssigkeitsstandsönderung, die sich bei abgeschalteter Pumpe einerseits und bei eingeschalteter Pumpe in einem Betriebspunkt andererseits über einen vorbestimmten Zeitabschnitt ergibt, zu vergleichen, um die Fördermenge der Pumpe zu ermitteln. Da bei derartigen Bohrlöchern der Zulauf typischerweise nicht linear erfolgt, ist es vorteilhaft, die Zulaufmenge zum Bohrloch unter Anwendung der folgenden Gleichungen zu bestimmen:
in denen
- Zm
- der Flüssigkeitsstand im Bohrloch,
- Δt
- ein Zeitabschnitt,
- Δzm
- die Flüssigkeitsstandsänderung während eines Zeit- abschnitts Δt,
- q in
- der berechnete Zufluss in das Bohrloch und
- A w
- der Querschnitt des Bohrlochs sowie
- η0,..., η k
- die Parameter eines den Zulauf in das Bohrloch nachbildenden mathematischen Modells sind.
in which
- Z m
- the fluid level in the borehole,
- Δ t
- a period of time,
- Δz m
- the liquid level change during a time interval Δt,
- q in
- the calculated inflow into the well and
- A w
- the cross section of the borehole as well
- η 0 , ..., η k
- are the parameters of a mathematical model that replicates the feed into the borehole.
Da diese Gleichungen ebenfalls in parameterlinearer Form vorliegen, können die Parameter mit üblichen Verfahren ermittelt werden, wie dies bei Berechnung des Zulaufs von Bohrlöchern an sich hinlänglich bekannt ist.Since these equations are also in parameter-linear form, the parameters can be determined by conventional methods, as is well-known in the calculation of the inflow of boreholes per se.
Das erfindungsgemäße Verfahren wird für Anwendungen, bei weichen das Pumpenaggregat in einen Expansionsbehälter fördert, vorteilhaft dadurch weiter gebildet, dass die Fördermengen in den angefahrenen Betriebspunkten anhand der zeitlichen Änderung des Drucks in dem Expansionsbehälter der Anlage bestimmt werden, in den die Pumpe fördert, und zwar unter Berücksichtigung der zeitlichen Änderung des Behälterdrucks einmal bei eingeschalteter und das andere Mal bei ausgeschalteter Pumpe, jeweils über einen vorbestimmten Zeitabschnitt.The method according to the invention is advantageously further developed for applications in which the pump unit conveys into an expansion tank, in that the flow rates in the approached operating points are determined by the change with time of the pressure in the expansion tank of the installation into which the pump is conveying taking into account the change over time of the tank pressure once with the pump switched on and the other time with the pump switched off, in each case over a predetermined period of time.
Dabei wird gemäß einer vorteilhaften Weiterbildung des Verfahrens die Fördermenge der Pumpe unter Anwendung der folgenden Gleichung bestimmt:
in der
- qout
- der aus der Anlage austretende Förderstrom,
- qpump
- die Fördermenge der Pumpe,
- pout
- der Druck im Expansionsbehälter,
- Δt
- ein Zeitabschnitt,
- Δpout
- die Druckänderung im Expansionsbehälter wäh- rend des Zeitabschnitts Δt und
- Ke
- eine Konstante des Expansionsbehälters sind.
in the
- q out
- the flow leaving the system,
- q pump
- the flow rate of the pump,
- p out
- the pressure in the expansion tank,
- .delta.t
- a period of time,
- Δp out
- the pressure change in the expansion tank during the period .DELTA.t and
- K e
- are a constant of the expansion tank.
Dabei ist der Differentialquotient
Vorteilhaft kann mit dem erfindungsgemäßen Verfahren insbesondere unter Zugrundelegung eines Teilpumpenmodells, wie es in Anspruch 4 bzw. Anspruch 5 gemäß den Gleichungen (a) oder (b) angegeben ist, im späteren Betrieb der Pumpe die Fördermenge ermittelt werden, ohne einen Strömungswächter oder einen Sensor hierfür einzusetzen. Es kann also vorteilhaft einzig anhand der elektrischen Kenngrößen wie z.B, Leistungsaufnahme und Frequenz des Motors sowie einer Druckmessung die Fördermenge bestimmt werden. Dabei können gegebenenfalls auch weitere Anlagengrößen ermittelt werden, beispielsweise die in den Brunnen oder das System zufließende Flüssigkeitsmenge.Advantageously, with the method according to the invention, in particular on the basis of a partial pump model, as indicated in claims 4 and 5 according to equations (a) or (b), the delivery rate can be determined during later operation of the pump, without a flow monitor or a sensor to use for this. It can thus advantageously be determined solely on the basis of the electrical parameters such. B., power consumption and frequency of the engine and a pressure measurement, the flow rate. If necessary, other plant sizes can also be determined, for example, the amount of liquid flowing into the well or the system.
Gemäß einer Weiterbildung des erfindungsgemäßen Verfahrens kann dieses auch zur Überwachung der Funktion des Pumpenaggregats herangezogen werden, indem die charakteristischen Werte, insbesondere die Parameter in zeitlichem Abstand erneut ermittelt werden und mit den zuvor ermittelten verglichen werden. Wenn diese Werte in einem vorgegebenen Toleranzmaß übereinstimmen, ist davon auszugehen, dass die Funktion des Pumpenaggregats unverändert gegeben ist. Weichen diese jedoch von den zuvor ermittelten deutlich oder erheblich ab, so ist eine Funktionsbeeinträchtigung der Pumpe festzustellen, beispielsweise durch die Undichtigkeit einer Dichtung, durch die erhöhte Reibung beim Defekt eines Lagers oder dergleichen.According to one embodiment of the method according to the invention, this can also be used to monitor the function of the pump unit by the characteristic values, in particular the parameters are determined again at a time interval and compared with the previously determined. If these values agree with a given tolerance, it can be assumed that the function of the pump set is unchanged. However, if these deviate significantly or significantly from those determined previously, a functional impairment of the pump is to be determined, for example due to the leakage of a seal, due to the increased friction in the event of a defect in a bearing or the like.
Wenn, was gemäß einer Weiterbildung des erfindungsgemäßen Verfahrens vorgesehen ist, nicht nur die charakteristischen Werte, insbesondere Parameter eines Teilpumpenmodells, sondern die eines vollständigen Pumpenmodells in zeitlichem Abstand ermittelt und verglichen werden, typischerweise ein solches, wie es in den Ansprüchen 4 oder 5 und 6 angegeben ist, dann ist es sogar möglich, den Wirkungsgrad des Pumpenaggregats, also dessen Effektivität zu überwachen. Dabei wird durch das Pumpenmodell z.B. die Kurve des Wirkungsgrades in Abhängigkeit der Förderung der Pumpe nachgebildet, so dass bei Vergleich der Kurven ein Leistungsabfall auch nur in Teilbereichen sichtbar wird,If what is provided according to a development of the method according to the invention, not only the characteristic values, in particular parameters of a sub-pump model, but those of a complete pump model at a time interval are determined and compared, typically such, as in claims 4 or 5 and 6 is specified, then it is even possible to monitor the efficiency of the pump unit, so its effectiveness. In this case, for example, the curve of the efficiency as a function of the delivery of the pump is modeled by the pump model, so that when comparing the curves, a power loss is visible only in partial areas,
Das erfindungsgemäße Verfahren wird vorzugsweise selbsttätig mit Hilfe einer entsprechenden Steuerung, die beispielsweise Teil der digitalen Steuerung eines Frequenzumrichters sein kann, durchgeführt, indem die charakteristischen Werte selbsttätig ermittelt und verarbeitet werden. Dazu wird das Pumpenaggregat zunächst in einem ldentifizierungsmodus betrieben, in dem es mehrere hydraulische Betriebspunkte selbsttätig anfährt, um die charakteristischen Werte, insbesondere Parameter zu bestimmen und nachfolgend in einen Betriebsmodus versetzt, in dem die zuvor ermittelten charakteristischen Werte zur Ermittlung von Betriebsgröße der Anlage, insbesondere der Fördermenge des Pumpenaggregats eingesetzt werden. Wenn zur Überwachung des Pumpenaggregats noch einer gewissen Zeit die charakteristischen Werte erneut ermittelt werden müssen, wird das Pumpenaggregat wieder in den 1-dentifizierungsmodus gesetzt und werden diese Werte erneut ermittelt und sodann mit den vorermittelten oder den ursprünglich ermittelten verglichen.The method according to the invention is preferably carried out automatically with the aid of a corresponding control, which can be part of the digital control of a frequency converter, for example, by automatically determining and processing the characteristic values. For this purpose, the pump unit is first operated in an identification mode in which it automatically approaches several hydraulic operating points to determine the characteristic values, in particular parameters and subsequently put into an operating mode in which the previously determined characteristic values for determining the operating size of the system, in particular the flow rate of the pump unit can be used. If the characteristic values have to be determined again for a certain time to monitor the pump set, the pump set is put back in the 1-dentification mode and these values are again determined and then compared with the pre-determined or the originally determined.
Die Erfindung ist nachfolgend anhand der Figuren noch näher erläutert. Es zeigen
- Fig. 1
- ein Diagramm betreffend die möglichen Anwendungen des erfindungsgemäßen Verfahrens,
- Fig. 2
- in stark vereinfachter schematischer Darstellung eine An- lage zum Einsatz eines Pumpenaggregates in der Abwos- sertechnik,
- Fig. 3
- die zeitliche Flüssigkeitsstandsänderung in der Anlage gemäß
Fig. 2 und der daraus ableitbare Förderstrom der Pumpe, - Fig. 4
- in Diagrammdarstellung gemäß
Fig. 3 eine Erfassung des Förderstroms der Pumpe unter Zugrundelegung von Zeit- abschnitten, die kleiner als das jeweilige Förderintervall sind, - Fig. 5
- in schematischer Darstellung eine Anlage mit Bohrloch und Pumpenaggregat,
- Fig. 6
- in schematischer Darstellung eine Anlage, bei der das Pumpenaggregat in einen Ausgleichsbehälter fördert,
- Fig. 7
- ein Diagramm, welches die Ermittlung der zeitlichen Druckänderungen und deren Auswertung verdeutlicht und
- Fig. 8
- eine Kurve, welche den Wirkungsgrad in Abhängigkeit der Fördermenge darstellt.
- Fig. 1
- a diagram concerning the possible applications of the method according to the invention,
- Fig. 2
- in a very simplified schematic representation, a system for the use of a pump unit in the wastewater technology,
- Fig. 3
- the temporal fluid level change in the system according to
Fig. 2 and the derivable from the pump flow, - Fig. 4
- in diagram representation according to
Fig. 3 a detection of the delivery flow of the pump on the basis of time segments which are smaller than the respective delivery interval, - Fig. 5
- a schematic representation of a system with a borehole and pump unit,
- Fig. 6
- a schematic representation of a system in which promotes the pump unit in a surge tank,
- Fig. 7
- a diagram illustrating the determination of the temporal pressure changes and their evaluation and
- Fig. 8
- a curve showing the efficiency as a function of the flow rate.
Wie das Diagram gemäß
Soll hingegen die Funktion oder die Leistung des Pumpenaggregats überwacht werden, so ist ein ständiger Wechsel zwischen Identifikationsmodus 1 und Betriebsmodus 2 erforderlich, wie dies im linken Teil der
In
Wie dies im Einzelnen ermittelt werden kann, ist anhand von
Wie
Anhand von
Bei der anhand von
Es versteht sich, dass bei allen Messungen, wie sie anhand der
Die
- 1 -1 -
- Identifikationsmodusidentification mode
- 2 -2 -
- Betriebsmodusoperation mode
- 3 -3 -
- Schachtshaft
- 4 -4 -
- Flüssigkeitsstandliquid Level
- 6, 7, 8, 9 -6, 7, 8, 9 -
-
Intervalle in
Fig. 3 Intervals inFig. 3 - 10, 11 -10, 11 -
-
Intervalle in
Fig. 4 Intervals inFig. 4 - 12 -12 -
- Bohrlochpumpedownhole pump
- 13 -13 -
- Bohrlochwell
- 14 -14 -
- Pumpepump
- 15 -15 -
- Expansionsbehälterexpansion tank
- 16, 17 -16, 17 -
-
Intervalle in
Fig. 7 Intervals inFig. 7 - 18, 19 -18, 19 -
-
Kurven in
Fig. 8 Curves inFig. 8 - Zg Z g
- GrundwasserstandGroundwater level
- Zf Z f
- FiltereingangsdruckFilter input pressure
- Zw Z w
- Wasserstand im BrunnenWater level in the well
Claims (16)
wobei
in which
wobei
in which
wobei
in which
wobei ω e die Frequenz der Spannungsversorgung des Motors und Pe die vom Motor aufgenommene elektrische Leistung sind.A method according to claim 4, 5 or 6, wherein
where ω e is the frequency of the power supply of the motor and P e are the electrical power consumed by the motor.
in denen
in which
in der
in the
Priority Applications (7)
Application Number | Priority Date | Filing Date | Title |
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PL09007299T PL2258949T3 (en) | 2009-06-02 | 2009-06-02 | Method for recording characteristic values, in particular values, in particular of parameters of a centrifugal pump powered by an electric motor integrated into an assembly |
EP09007299.2A EP2258949B1 (en) | 2009-06-02 | 2009-06-02 | Method for recording characteristic values, in particular values, in particular of parameters of a centrifugal pump powered by an electric motor integrated into an assembly |
PCT/EP2010/003211 WO2010139416A1 (en) | 2009-06-02 | 2010-05-26 | Method for determining characteristic values, particularly of parameters, of a centrifugal pump aggregate driven by an electric motor and integrated in a system |
JP2012513492A JP5746155B2 (en) | 2009-06-02 | 2010-05-26 | Method for determining characteristic values, in particular parameters, of an electric motor driven centrifugal pump device incorporated in equipment |
EA201171344A EA022673B1 (en) | 2009-06-02 | 2010-05-26 | Method for determining characteristic values, particularly of parameters, of a centrifugal pump aggregate driven by an electric motor and integrated in a system |
CN201080024716.5A CN102459912B (en) | 2009-06-02 | 2010-05-26 | Determine the method for the eigenvalue of motor-driven centrifugal pump group, particularly parameter in equipment |
US13/375,530 US8949045B2 (en) | 2009-06-02 | 2010-05-26 | Method for determining characteristic values, particularly of parameters, of a centrifugal pump aggregate driven by an electric motor and integrated in a system |
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EP09007299.2A EP2258949B1 (en) | 2009-06-02 | 2009-06-02 | Method for recording characteristic values, in particular values, in particular of parameters of a centrifugal pump powered by an electric motor integrated into an assembly |
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EP2258949B1 EP2258949B1 (en) | 2017-01-18 |
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Country Status (7)
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US (1) | US8949045B2 (en) |
EP (1) | EP2258949B1 (en) |
JP (1) | JP5746155B2 (en) |
CN (1) | CN102459912B (en) |
EA (1) | EA022673B1 (en) |
PL (1) | PL2258949T3 (en) |
WO (1) | WO2010139416A1 (en) |
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EP3187735A1 (en) | 2015-12-29 | 2017-07-05 | Grundfos Holding A/S | Pump system as well as a method for determining the flow in a pump system |
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USD880670S1 (en) | 2018-02-28 | 2020-04-07 | S. C. Johnson & Son, Inc. | Overcap |
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USD872245S1 (en) | 2018-02-28 | 2020-01-07 | S. C. Johnson & Son, Inc. | Dispenser |
USD852938S1 (en) | 2018-05-07 | 2019-07-02 | S. C. Johnson & Son, Inc. | Dispenser |
USD853548S1 (en) | 2018-05-07 | 2019-07-09 | S. C. Johnson & Son, Inc. | Dispenser |
EP3712736A1 (en) * | 2019-03-22 | 2020-09-23 | L'air Liquide, Societe Anonyme Pour L'etude Et L'exploitation Des Procedes Georges Claude | Method for detecting anomalies in a water treatment facility using an apparatus for injecting oxygen into a water treatment retention basin |
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DE19507698A1 (en) * | 1995-03-04 | 1996-09-05 | Klein Schanzlin & Becker Ag | Determining amount removed from container filled by non-pressure supply amount |
EP1072795A1 (en) * | 1998-04-03 | 2001-01-31 | Ebara Corporation | Diagnosing system for fluid machinery |
WO2004059170A2 (en) * | 2002-12-20 | 2004-07-15 | Itt Manufacturing Enterprises, Inc. | Improved centrifugal pump performance degradation detection |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
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CN103575339A (en) * | 2013-10-31 | 2014-02-12 | 无锡溥汇机械科技有限公司 | Flow measurement method and flow control method |
CN103575339B (en) * | 2013-10-31 | 2016-08-17 | 无锡溥汇机械科技有限公司 | Flow-measuring method and flow control methods |
EP3187735A1 (en) | 2015-12-29 | 2017-07-05 | Grundfos Holding A/S | Pump system as well as a method for determining the flow in a pump system |
US10480968B2 (en) | 2015-12-29 | 2019-11-19 | Grundfos Holding A/S | Pump system and method for determining the flow in a pump system |
Also Published As
Publication number | Publication date |
---|---|
US8949045B2 (en) | 2015-02-03 |
US20120136590A1 (en) | 2012-05-31 |
EA022673B1 (en) | 2016-02-29 |
JP5746155B2 (en) | 2015-07-08 |
EP2258949B1 (en) | 2017-01-18 |
WO2010139416A1 (en) | 2010-12-09 |
JP2012528973A (en) | 2012-11-15 |
CN102459912B (en) | 2016-06-29 |
PL2258949T3 (en) | 2017-08-31 |
EA201171344A1 (en) | 2012-05-30 |
CN102459912A (en) | 2012-05-16 |
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