CN115111150A - Water pump operation prediction method and water pump model selection method - Google Patents
Water pump operation prediction method and water pump model selection method Download PDFInfo
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- CN115111150A CN115111150A CN202210861992.1A CN202210861992A CN115111150A CN 115111150 A CN115111150 A CN 115111150A CN 202210861992 A CN202210861992 A CN 202210861992A CN 115111150 A CN115111150 A CN 115111150A
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- water pump
- frequency
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
- F04B49/00—Control, e.g. of pump delivery, or pump pressure of, or safety measures for, machines, pumps, or pumping installations, not otherwise provided for, or of interest apart from, groups F04B1/00 - F04B47/00
- F04B49/20—Control, e.g. of pump delivery, or pump pressure of, or safety measures for, machines, pumps, or pumping installations, not otherwise provided for, or of interest apart from, groups F04B1/00 - F04B47/00 by changing the driving speed
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
- F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
- F04B51/00—Testing machines, pumps, or pumping installations
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
- Y02A20/00—Water conservation; Efficient water supply; Efficient water use
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Control Of Positive-Displacement Pumps (AREA)
Abstract
The invention discloses a water pump operation prediction method and a water pump model selection method. The water pump operation prediction method comprises the following steps: and drawing a maximum lift curve and a minimum lift curve of the water pump, and determining the working area of the water pump through the maximum lift curve and the minimum lift curve. And drawing a frequency conversion characteristic curve of the water pump. And setting the flow of a target branch in the pipe network system as a target flow, and determining the maximum frequency and the minimum frequency according to the intersection points of the maximum lift curve and the minimum lift curve and the frequency conversion characteristic curve. After the working area of the water pump is obtained, the frequency conversion characteristic curve, the maximum lift curve and the minimum lift curve respectively form two intersection points, after the flow of the branch is determined, the maximum frequency of the water pump and the minimum frequency of the water pump can be determined, the frequency of the water pump on the target branch is adjusted between the two frequencies, the operation frequency of the water pump can be accurately controlled, the flow control is accurate, and the problem of unbalanced water supply in a line is solved.
Description
Technical Field
The invention relates to the technical field of water pump operation control, in particular to a water pump operation prediction method and a water pump model selection method.
Background
In a pipe network system that has a plurality of parallelly connected branches, and each parallelly connected branch has a water pump, can lead to water imbalance when unable accurate control water pump operating frequency, it is inhomogeneous to supply water between each module to appear, often can be through closing the water supply flow of little valve come balanced each branch road, causes the mechanical energy loss.
Disclosure of Invention
The present invention is directed to solving at least one of the problems of the prior art. Therefore, the invention provides a water pump operation prediction method which can reduce the control regulation range of a water pump, improve the control stability and accurately control the operation frequency of the water pump.
The invention further provides a water pump model selection method.
According to a first aspect of the invention, a water pump operation prediction method includes:
drawing a maximum lift curve and a minimum lift curve of the water pump, and determining a working area of the water pump according to the maximum lift curve and the minimum lift curve;
drawing a frequency conversion characteristic curve of the water pump;
setting the flow of a target branch in the pipe network system as a target flow, and determining the maximum frequency and the minimum frequency of the water pump in the target branch under the target flow according to the intersection point of the maximum lift curve and the minimum lift curve and the frequency conversion characteristic curve.
The water pump operation prediction method provided by the embodiment of the invention at least has the following beneficial effects: after a working area of the water pump is obtained by drawing a maximum lift curve and a minimum lift curve of the water pump, a frequency conversion characteristic curve of the water pump is drawn according to parameters of the water pump, the frequency conversion characteristic curve, the maximum lift curve and the minimum lift curve form two intersection points respectively, after the flow of a branch is determined, the maximum frequency of the water pump, namely the frequency conversion characteristic curve intersected with the maximum lift curve, and the minimum frequency of the water pump, namely the frequency conversion characteristic curve intersected with the minimum lift curve can be determined, the frequency of the water pump on a target branch is adjusted between the maximum frequency and the minimum frequency, the running frequency of the water pump can be accurately controlled, the flow control is accurate, and the problem of unbalanced water supply in a line is solved.
According to some embodiments of the invention, said plotting the maximum head curve of the water pump comprises the steps of:
starting the water pumps of the other branches to run at rated flow;
and gradually increasing the frequency of the water pump in the target branch circuit from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
According to some embodiments of the invention, said plotting the minimum head curve of the water pump comprises the steps of:
closing the water pumps of the remaining branches;
and gradually increasing the frequency of the water pump of the target branch circuit from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
According to some embodiments of the invention, the method further comprises adjusting the frequency of the water pump between the maximum frequency and the minimum frequency to bring the water pump to the target flow rate.
According to some embodiments of the invention, drawing a maximum head curve and a minimum head curve of the water pump comprises the steps of:
establishing a physical model and a flow chart of the pipe network system;
establishing a hydraulic calculation model;
calculating to obtain a model of the lift and the flow of the target branch through the hydraulic calculation model;
and drawing a maximum lift curve and a minimum lift curve of the target branch according to the model of the lift and the flow of the water pump in the target branch.
According to the water pump model selection method in the embodiment of the second aspect of the invention, the method comprises the following steps:
determining the rated flow and the rated lift of the water pump;
drawing a maximum lift curve and a minimum lift curve of the water pump, and determining a working area of the water pump according to the maximum lift curve and the minimum lift curve;
and drawing the efficient area of the water pump and checking whether the efficient area comprises the working area.
According to the embodiment of the invention, at least the following beneficial effects are achieved: after the rated flow and the rated lift of the water pump are determined, namely the frequency and the lift of the water pump after frequency conversion are only lower than the rated flow and the rated lift, the water pump can meet the requirements of the flow and the lift, after the working area of the water pump is obtained, the high-efficiency area of the water pump is drawn according to the rated flow and the rated lift of the water pump, whether the high-efficiency area comprises the working area is checked, if the working area is in the high-efficiency area, the water pump can be guaranteed to meet all working conditions which can be operated by the water pump and work at a high-efficiency point.
According to some embodiments of the invention, said checking whether said high efficiency region comprises said working region comprises the steps of:
selecting the upper lift limit, the lower lift limit and any lift between the upper and lower lift limits of the water pump;
measuring input power and output power corresponding to each head selected by the water pump;
and calculating the working efficiency of the water pump according to the input power and the output power.
According to some embodiments of the invention, drawing a maximum head curve and a minimum head curve of the water pump comprises the steps of:
establishing a physical model and a flow chart of the pipe network system;
establishing a hydraulic calculation model;
calculating to obtain a model of the lift and the flow of the water pump through the hydraulic calculation model;
and drawing a maximum lift curve and a minimum lift curve of the water pump according to the model of the lift and the flow of the water pump.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The invention is further described with reference to the following figures and examples, in which:
FIG. 1 is a schematic view of a piping system of the present invention;
FIG. 2 is a schematic diagram of a working region and a frequency conversion characteristic curve according to an embodiment of the present invention;
FIG. 3 is a flow chart of a water pump operation prediction method according to an embodiment of the present invention;
FIG. 4 is a flow chart of a theoretical calculation method according to an embodiment of the present invention;
FIG. 5 is a diagram illustrating a working region, a frequency conversion characteristic curve and a high efficiency region according to an embodiment of the present invention.
Reference numerals:
the system comprises a pipe network system 100, a refrigeration tower 110, a main line 120, a branch 130, a water pump 131, a refrigerator 132 and a target branch 140;
the variable frequency characteristic curve 210, the minimum head curve 220, the maximum head curve 230, the high efficiency region 240 and the working region 250.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, it should be understood that the orientation or positional relationship referred to in the description of the orientation, such as the upper, lower, front, rear, left, right, etc., is based on the orientation or positional relationship shown in the drawings, and is only for convenience of description and simplification of description, and does not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus, should not be construed as limiting the present invention.
In the description of the present invention, the meaning of a plurality is one or more, the meaning of a plurality is two or more, and the above, below, exceeding, etc. are understood as excluding the present numbers, and the above, below, within, etc. are understood as including the present numbers. If the first and second are described for the purpose of distinguishing technical features, they are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present invention, unless otherwise explicitly limited, terms such as arrangement, installation, connection and the like should be understood in a broad sense, and those skilled in the art can reasonably determine the specific meanings of the above terms in the present invention in combination with the specific contents of the technical solutions.
In the description of the present invention, reference to the description of the terms "one embodiment," "some embodiments," "an illustrative embodiment," "an example," "a specific example," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
Referring to fig. 1 to 4, a first embodiment of the present invention provides a method for predicting operation of a water pump 131, which is applied to a pipe network system 100, where the pipe network system 100 includes a plurality of parallel branches 130, and each of the parallel branches 130 has one water pump 131, including the following steps:
s100, drawing a maximum lift curve 230 and a minimum lift curve 220 of the water pump 131, and determining a working area 250 of the water pump 131 through the maximum lift curve 230 and the minimum lift curve 220;
s200, drawing a frequency conversion characteristic curve 210 of the water pump 131;
s300, setting the flow of the target branch 140 in the pipe network system 100 as a target flow, and determining the maximum frequency and the minimum frequency of the water pump 131 in the target branch 140 under the target flow according to the intersection point of the maximum lift curve 230 and the minimum lift curve 220 and the frequency conversion characteristic curve 210.
The operating region 250 of the water pump 131 is determined by the hydraulic characteristics of the pipeline. After the working area 250 of the water pump 131 is obtained, the frequency conversion characteristic curve 210 of the water pump 131 is drawn according to the rated flow and the rated lift of the water pump 131, the frequency conversion characteristic curve 210, the maximum lift curve 230 and the minimum lift curve 220 form two intersection points, after the flow of the target branch 140 is determined, the maximum frequency of the water pump 131, namely the frequency of the frequency conversion characteristic curve 210 intersected with the maximum lift curve 230, and the minimum frequency of the water pump 131, namely the frequency of the frequency conversion characteristic curve 210 intersected with the minimum lift curve 220 can be determined, the frequency of the water pump 131 on the target branch 140 is adjusted between the maximum frequency and the minimum frequency, the running frequency of the water pump 131 can be accurately controlled, the flow control is accurate, and the problem of unbalanced water supply in the loop is solved.
For example, referring to fig. 1, in the refrigeration system, the cooling system includes a refrigeration tower 110, a refrigerator 132 and a water pump 131, the refrigerator 132 and the water pump 131 are connected in series to form a branch 130, the refrigeration tower 110 is provided with a main circuit 120, a plurality of branches 130 are connected in parallel to the main circuit 120 to form a loop, and the flow rate through the refrigerator 132 is individually controlled by the water pump 131 on the branch 130. The flow rate of the branch 130 is determined by the capacity and the load factor of the refrigerator 132 and the set temperature difference between the supplied water and the returned water to meet the refrigeration requirement of the refrigerator 132. After the flow rate is determined, the position of the flow rate corresponding to the working area 250 has the corresponding maximum frequency and minimum frequency, and the water pump 131 in the branch 130 is finely adjusted between the maximum frequency and the minimum frequency, so that the set flow rate can be achieved. When the flow rate of any branch 130 needs to be adjusted, the frequency of the water pump 131 of each of the other branches 130 can be quickly adjusted according to the method, so that the water supply in the whole loop can be quickly balanced.
Since there are several branches 130 connected in parallel to the main line 120, the flow rate of the main line 120 is equal to the sum of the flow rates of the lines, and the pressure drop experienced by each water pump 131 is equal to the shared pressure drop of the main line 120 and the independent pressure drop of the branch 130. For one branch 130, the lift of the water pump 131 is equal to the sum of the shared pressure drop and the independent pressure drop, the change of the shared pressure drop affects the main factors affecting the frequency of the water pump 131 on the branch 130 when the branch 130 reaches the set flow, and the maximum frequency of the water pump 131 corresponds to the maximum shared pressure drop, that is, when the water pumps 131 of the branches 130 except the water pump 131 of the branch 130 operate at the power frequency and the flow of the main line 120 is maximum, the minimum frequency of the water pump 131 corresponds to the minimum shared pressure drop, that is, the water pumps 131 of the branches 130 except the water pump 131 of the branch 130 do not operate, and the flow of the main line 120 is equal to the flow of the target branch 140.
In some embodiments, plotting the maximum head curve 230 of the water pump 131 comprises the steps of:
s111, starting the water pumps 131 of the rest branches 130 to run at rated flow;
and S112, gradually increasing the frequency of the water pump 131 of the target branch 140 from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
When the structure of the pipe network system 100 determines that the remaining branches 130 operate at the rated flow, the shared pressure drop of the water pump 131 of the target branch 140 is the largest, the lift and the flow are increased synchronously in the process that the frequency of the water pump 131 is gradually increased from 0 to the rated frequency, the flow corresponding to each frequency is labeled to form a labeling point with the lift, and each labeling point is connected by a smooth curve, so that the maximum lift curve 230 of the water pump 131 can be formed. It can be understood that the number of the marked points can determine the accuracy of the lift curve, so that more sampling points can be adopted to draw the lift curve under the condition of high precision requirement.
In some embodiments, plotting the minimum head curve 220 for the water pump 131 comprises the steps of:
the water pumps 131 of the remaining branches 130 are turned off;
and gradually increasing the frequency of the water pump 131 of the target branch 140 from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
When the structure of the pipe network system 100 is determined and the remaining branches 130 are closed, the shared pressure drop of the water pump 131 of the target branch 140 is the minimum, and the drawing method of the minimum head curve 220 is the same as the drawing method of the maximum head curve 230, which is not described herein again.
Referring to fig. 4, in addition, the maximum head curve 230 and the minimum head curve 220 may also be obtained by a theoretical calculation method, and the theoretical calculation method includes the following steps:
s1000, establishing a physical model and a flow chart of a pipe network system;
s2000, establishing a hydraulic calculation model;
s3000, calculating to obtain a model of the lift and the flow of the target branch water pump through a hydraulic calculation model;
and S4000, drawing a maximum lift curve 230 and a minimum lift curve 220 of the target branch according to the lift and flow model of the water pump in the target branch.
The hydraulic model is established according to the resistance of each component in the pipe network system to water flow (a hydraulic calculation model corresponding to the flow and the resistance of each component). The lift of the water pump 131 is equal to the sum of the shared pressure drop and the independent pressure drop, and after the flow of the remaining branches 130 is determined, a model of the lift and the flow of the water pump 131 of the target branch 140 can be obtained through calculation of a hydraulic calculation model, and a corresponding lift curve of the target branch 140 can be drawn accordingly. The maximum head curve 230 is obtained when the water pumps 131 of the remaining branches 130 are all at the rated flow, and the minimum head curve 220 is obtained when the water pumps 131 of the remaining branches 130 are turned off. The lift curve obtained through theoretical calculation can be mutually verified with the lift curve obtained through experiments so as to ensure the accuracy of the lift curve. The calculated working area 250 may be used for design and model selection of the water pump 131, and the experimentally obtained working area 250 may be used for operation control and design verification.
In some embodiments, the water pump 131 operation prediction method further comprises adjusting the frequency of the water pump 131 between a maximum frequency and a minimum frequency to achieve the set flow rate. For example, in a refrigeration system, the frequency of the water pump 131 is further adjusted according to the capacity and load factor of the refrigerator 132 and the set temperature difference between the supply water and the return water, so that the flow rate through the target branch 140 reaches the set requirement.
Referring to fig. 5, a second embodiment of the present invention provides a water pump 131 model selection method, including the following steps:
s400, determining the rated flow and the rated lift of the water pump 131;
s500, drawing a maximum lift curve 230 and a minimum lift curve 220 of the water pump 131, and determining a working area 250 of the water pump 131 according to the maximum lift curve 230 and the minimum lift curve 220;
s600, drawing a high-efficiency area 240 of the water pump 131 according to the rated flow and the rated lift of the water pump 131;
s700, whether the high-efficiency area 240 comprises the working area 250 is checked.
After the rated flow and the rated lift of the water pump 131 are determined, namely, the frequency and the lift of the water pump 131 after frequency conversion are only lower than the rated flow and the rated lift, so that the water pump 131 can meet the requirements of the flow and the lift, after a working area 250 of the water pump 131 is obtained, a high-efficiency area 240 of the water pump 131 is drawn according to the rated flow and the rated lift of the water pump 131, the high-efficiency area 240 of the water pump 131 is an area with the efficiency of the water pump 131 being more than 75%, whether the high-efficiency area 240 comprises the working area 250 is checked, and if the working areas 250 are all in the high-efficiency area 240, it can be ensured that the type selection of the water pump 131 can meet all working conditions which can be operated in the water pump 131 at this time and the water pump can work at a high-efficiency point. The maximum lift curve 230 and the minimum lift curve 220 are drawn in the same way as in the first embodiment, and are not described herein again.
In some embodiments, checking whether the high-efficiency region 240 includes the work region 250 includes the steps of:
s710, selecting an upper lift limit, a lower lift limit and any lift between the upper lift limit and the lower lift limit of the water pump 131;
s720, measuring input power and output power corresponding to each head selected by the water pump 131;
and S730, calculating the working efficiency of the water pump 131 according to the input power and the output power.
It can be understood that when any lift between the upper and lower limits of the lift is selected for checking, a key node may be selected for checking, for example, when the flow rate is 50% of the rated flow rate, whether the working efficiency of the water pump 131 is in the high-efficiency area 240 is determined, so as to determine the rationality of model selection of the water pump 131.
The embodiments of the present invention have been described in detail with reference to the accompanying drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention. Furthermore, the embodiments of the present invention and the features of the embodiments may be combined with each other without conflict.
Claims (8)
1. The water pump operation prediction method is applied to a pipe network system, the pipe network system comprises a plurality of parallel branches, each parallel branch is provided with a water pump, and the water pump operation prediction method is characterized by comprising the following steps:
drawing a maximum lift curve and a minimum lift curve of the water pump, and determining a working area of the water pump according to the maximum lift curve and the minimum lift curve;
drawing a frequency conversion characteristic curve of the water pump;
setting the flow of a target branch in the pipe network system as a target flow, and determining the maximum frequency and the minimum frequency of the water pump in the target branch at the target flow according to the intersection point of the maximum lift curve and the minimum lift curve with the frequency conversion characteristic curve.
2. The method for predicting the operation of the water pump according to claim 1, wherein the step of drawing the maximum lift curve of the water pump comprises the steps of:
starting the water pumps of the other branches to run at rated flow;
and gradually increasing the frequency of the water pump in the target branch circuit from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
3. The method for predicting the operation of the water pump according to claim 1, wherein the step of drawing the minimum head curve of the water pump comprises the steps of:
closing the water pumps of the remaining branches;
and gradually increasing the frequency of the water pump of the target branch circuit from 0 to a rated frequency, marking the flow corresponding to each frequency and the lift to form marking points, and sequentially connecting the marking points.
4. The water pump operation prediction method of claim 1, further comprising adjusting a frequency of the water pump between the maximum frequency and the minimum frequency to bring the water pump to the target flow rate.
5. The water pump operation prediction method of claim 1, wherein the step of plotting the maximum head curve and the minimum head curve of the water pump comprises the steps of:
establishing a physical model and a flow chart of the pipe network system;
establishing a hydraulic calculation model;
calculating to obtain a model of the lift and the flow of the target branch through the hydraulic calculation model;
and drawing a maximum lift curve and a minimum lift curve of the target branch according to the model of the lift and the flow of the target branch.
6. The water pump model selection method is characterized by comprising the following steps:
determining the rated flow and the rated lift of the water pump;
drawing a maximum lift curve and a minimum lift curve of the water pump, and determining a working area of the water pump according to the maximum lift curve and the minimum lift curve;
drawing the efficient area of the water pump;
and checking whether the high-efficiency area comprises the working area.
7. The water pump model selection method as recited in claim 6, wherein the checking whether the high efficiency zone includes the working zone comprises the steps of:
selecting the upper lift limit, the lower lift limit and any lift between the upper and lower lift limits of the water pump;
measuring input power and output power corresponding to each head selected by the water pump;
and calculating the working efficiency of the water pump according to the input power and the output power.
8. The water pump model selection method according to claim 6, wherein drawing a maximum lift curve and a minimum lift curve of the water pump comprises the steps of:
establishing a physical model and a flow chart of the pipe network system;
establishing a hydraulic calculation model;
calculating to obtain a model of the lift and the flow of the water pump through the hydraulic calculation model;
and drawing a maximum lift curve and a minimum lift curve of the water pump according to the model of the lift and the flow of the water pump.
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| CN202210861992.1A CN115111150B (en) | 2022-07-20 | 2022-07-20 | Water pump operation prediction method |
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| CN202210861992.1A CN115111150B (en) | 2022-07-20 | 2022-07-20 | Water pump operation prediction method |
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| CN109185972A (en) * | 2018-09-11 | 2019-01-11 | 哈尔滨顺易天翔热力技术开发有限公司 | Thermal substation circulating pump optimal regulation method |
| CN110081016A (en) * | 2019-05-27 | 2019-08-02 | 湘潭大学 | A kind of Model Selection of Centrifugal Pump method matching drive shaft speed |
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2022
- 2022-07-20 CN CN202210861992.1A patent/CN115111150B/en active Active
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| CN102852782A (en) * | 2012-09-25 | 2013-01-02 | 扬州大学 | Large-scale water pump unit and working condition adjusting mode accurate quantitative model-selection method |
| CN103195698A (en) * | 2013-04-19 | 2013-07-10 | 哈尔滨工业大学 | Energy-saving control method for synchronous variable-speed regulation of water pumps in water-level-variable water intake pump station |
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| CN110081016A (en) * | 2019-05-27 | 2019-08-02 | 湘潭大学 | A kind of Model Selection of Centrifugal Pump method matching drive shaft speed |
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| CN115111150B (en) | 2023-03-24 |
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