CN116295671A - Indirect measurement method for submersible sewage pump flow of sewage pump station and measurement result evaluation method - Google Patents
Indirect measurement method for submersible sewage pump flow of sewage pump station and measurement result evaluation method Download PDFInfo
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- CN116295671A CN116295671A CN202310005088.5A CN202310005088A CN116295671A CN 116295671 A CN116295671 A CN 116295671A CN 202310005088 A CN202310005088 A CN 202310005088A CN 116295671 A CN116295671 A CN 116295671A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F1/00—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow
- G01F1/05—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects
- G01F1/34—Measuring the volume flow or mass flow of fluid or fluent solid material wherein the fluid passes through a meter in a continuous flow by using mechanical effects by measuring pressure or differential pressure
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F25/00—Testing or calibration of apparatus for measuring volume, volume flow or liquid level or for metering by volume
- G01F25/10—Testing or calibration of apparatus for measuring volume, volume flow or liquid level or for metering by volume of flowmeters
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Abstract
The invention relates to a method for indirectly measuring the flow of a submersible sewage pump of a sewage pump station and evaluating a measuring result, which comprises the steps of firstly collecting data of a pump outlet pipe pressure meter, a pump station liquid level, a conveying fluid volume weight, a pump outlet pipe pressure meter vertical pipe height, a pump outlet pipe pipeline radius and a pump outlet pipe pressure meter center-to-pipe top height, substituting the collected data into a pump total lift calculation formula, fitting a water pump characteristic Q-H curve through a least square method to obtain a flow calculation formula, further obtaining the pump flow, carrying out uncertain evaluation on the measurement of the pump station total lift H through the formula, and obtaining a pump flow evaluation result under a specified confidence by an uncertain evaluation result of the total lift H so as to evaluate the accuracy of the pump flow; the measuring method of the invention is not limited to the requirement of isolating upstream water or the requirement of stabilizing the water outlet surface of the tail end. And by introducing uncertainty analysis, indirect measurement effect evaluation is realized, a reliability basis is provided for measurement result use, and the measurement result can be used more effectively.
Description
Technical Field
The invention belongs to the technical field of indirect measurement of pump flow, and particularly relates to an indirect measurement method of submersible sewage pump flow of a sewage pump station and a measurement result evaluation method.
Background
At present, the effluent flow of the sewage pump is detected by a flowmeter in most sewage pump stations, but the flowmeter has higher price, especially the large-caliber sewage pump has low price, and the indirect method is adopted to test the water pump flow, so that the method has better economic value. At present, a volume method and a pump pit liquid level method are adopted for monitoring and measuring the outlet flow of the water pump, the volume method needs to ensure that upstream incoming water is isolated, the upstream incoming water is difficult to realize in a sewage pump station, and the pump pit liquid level method is greatly influenced by the water outlet surface at the tail end. For example, the literature "soft measurement method of flow in sewage pump station" and application (Chen Huadong et al, "automated instruments" volume 27, 6 th period) discloses a method for indirectly testing flow of water pump, and the method has three main problems: 1) The method establishes a Q-H curve based on the relation between the liquid level and the flow of a pump station, H is the total lift according to the basic characteristics of the water pump, the lift represented by the liquid level is only a part of the total lift, and if the position of the tail end out of the water surface changes, the change of the total lift can be brought. In simple terms, in the practical project, for the same pump station liquid level, the total lift H will be greatly different due to the position change of the tail end water outlet surface, and the flow change caused by the total lift H cannot be ignored. Therefore, the method is only suitable for the condition that the water outlet surface of the tail end is unchanged, and has a limited application range; 2) The method uses the product of the pit surface area and the level change to calculate the pumping flow. This method requires that the drain pipe enters the pump pit from above and that a gate be closed. On the one hand, the pump pit liquid level change factor can be guaranteed to be only one pump station pumping drainage item, and the pump pit liquid level change factor cannot be influenced by upstream water, on the other hand, the isolated drainage pipe network is communicated with the pump pit, and the volume change amount can be guaranteed to be the area of the pump pit multiplied by the liquid level change amount, otherwise, the volume change also needs to consider the accumulated water amount in the pipe network, and the pump pit liquid level change factor is difficult to accurately obtain. Therefore, the application range of the method is limited. 3) Indirect measurement and soft measurement are often pump station flow measurement technologies under limited conditions, and measurement results are necessarily not accurate. For the data consumer, the evaluation of the measurement results is also very important. This technical route does not involve an evaluation of the measurement results, and is lacking.
In addition, the current indirect method for testing the water pump flow has the defects that the influence factor of the detection result is large, and the accuracy of the detection result cannot be effectively evaluated.
Disclosure of Invention
In order to overcome the problems in the background technology, the invention provides a method for indirectly measuring the flow of a submersible sewage pump of a sewage pump station and evaluating a measuring result, and the flow measurement is not limited to the requirements of isolating upstream water or stabilizing the water outlet surface of the tail end. And by introducing uncertainty analysis, indirect measurement effect evaluation is realized, a reliability basis is provided for measurement result use, and the measurement result can be used more effectively.
In order to achieve the above purpose, the invention is realized by the following technical scheme:
the indirect measurement method for the flow of the submersible sewage pump of the sewage pump station comprises the following steps:
(1) Obtaining the reading P of the pressure meter of the water outlet pipe of the pump 2 Liquid level reading d of pump station h The volume weight r of the conveying fluid, the vertical pipe height h of the pump outlet pipe pressure meter, the radius data of the pump outlet pipe pipeline and the center-to-pipe top height data h of the pump outlet pipe pressure meter p ；
(2) Acquiring the total lift of the water pump according to the data in the step (1);
wherein:
h-total lift;
P 2 -pump outlet pressure gauge reading;
gamma-transport fluid volume weight;
d h - ±0.000 to the liquid surface distance;
h 0 - ±0.000 to pump outlet axis distance;
r 0 -outlet pipe radius;
h p -pump outlet pipe pressure gauge centre to pipe top height;
(3) And fitting a characteristic Q-H curve of the water pump by a least square method to obtain a flow calculation function.
Further, in the step (3), the Q-H characteristic curve of the water pump is:
Q＝Q 0 +A 1 H+A 2 H 2 +…+A m H m (2)
in the method, in the process of the invention,
h-total lift;
solving an equation set according to a least square method (3)
Obtaining Q 0 、A 1 、A 2 ....A m : will Q 0 、A 1 、A 2 ....A m And (3) carrying out the formula (2) to obtain a flow calculation function.
The indirect measurement method for the submersible sewage pump flow of the sewage pump station according to claim 2, wherein the method comprises the following steps: in the formula (2), m is 2 or 3,
taking 2, and obtaining a flow calculation formula as follows:
Q＝Q 0 +A 1 H+A 2 H 2 (4)
taking 3, and obtaining a flow calculation formula as follows:
Q＝Q 0 +A 1 H+A 2 H 2 +A 3 H 3 (5)
the method for evaluating the flow measurement result obtained by the method comprises the following steps:
and carrying out uncertain evaluation on the measurement of the total head H of the pump station, and obtaining a flow Q evaluation result under the specified confidence by using the uncertainty evaluation result of the total head H.
Further, the uncertainty related index given by the related input quantity measuring device is used for performing the class B evaluation by using the uncertainty, and the class B evaluation specifically comprises the following steps:
(1) Determining the relationship between measured and input quantities
H＝H d +G′ ①
G′＝d h -h 0 +r 0 +h p ③
After (2) and (3) are brought into (1),
wherein the measured quantity is H, and the input quantity is P 2 、γ、d h 、h 0 、r 0 、h D ；
H-total lift;
H d -a pump outlet pressure head;
g' -pump outlet pipe manometer measuring point to liquid level distance;
P 2 -pump outlet pressure gauge reading, to be measured;
gamma-transport fluid bulk density, constant for a determined pump station;
d h - ±0.000 to the liquid level, to be measured;
h 0 - ±0.000 to pump outlet axis distance, constant for a determined pump station;
r 0 -outlet pipe radius, constant for a determined pump station;
h D -the centre of the gauge to the height of the roof of the pipe is constant for a determined pump station;
the formula (4) is the mathematical relationship f between each input quantity and the measured value;
(2) Standard uncertainty analysis of total head H
Analysis of u (h) according to the input quantity in equation (4) 0 ) 2 ＝0，u(r 0 ) 2 =0, the standard uncertainty calculation formula is:
higher order terms:
when i+.j, only x is left i ＝P 2 ，x j Higher order term when =γ, is
When i=j, only x remains i ＝x j Higher order term when =γ, is
After the higher-order terms are added into a standard uncertainty calculation formula, the method is as follows:
(3) Obtaining a flow Q uncertainty result according to the Q-H curve fitting
ΔQ＝f(H±ΔH)-f(H)
In the method, in the process of the invention,
h-total head
Δh—the expansion uncertainty of the total head, k=2, the inclusion factor for a normal distribution at 95% confidence interval is 1.96, approximately 2 in the present invention.
Since the flow is indirectly measured, i.e. the flow is inferred using the head, the flow uncertainty assessment is difficult, and therefore the uncertainty assessment for the head measurement is generalized to the flow uncertainty assessment. If the flow uncertainty is 1.0% FS, i.e., 1.0% full scale, as compared to a direct flow measurement device, then the evaluation is performed
If less than 1.0% FS, less than, uncertainty is considered superior to direct measurement schemes
The principle of the invention is as follows:
when the pump station actually operates, the Q-H curve is determined according to the actual operating condition, meanwhile, the pipeline characteristic curve is only influenced by liquid level change (basically static lift change) to translate up and down, and the translation height of the pipeline characteristic curve can be obtained through the liquid level being higher than the highest (low) liquid level change quantity, so that the actual pipeline characteristic curve is obtained. At this time, the two actual curves are intersected to obtain the balance working point and the flow and lift data thereof, namely, the following two equations are combined to solve Q.
The centrifugal pump Q-H curve can be performed by a least square method, and the Q-H curve can be fitted by using the following polynomials:
H＝H 0 +A 1 Q+A 2 Q 2 +…+A m Q m (2)
then H can be obtained by solving the following linear equation system according to the least square method 0 、A 1 、A 2 ....：
Collecting P 2 -pressure gauge readings; gamma-liquid bulk weight; d, d h - ±0.000 to the liquid surface distance; h is a 0 - ±0.000 to pump outlet axis distance; r is (r) 0 -outlet pipe radius; h is a p -data of the height from the centre of the gauge to the top of the pipe, obtaining the total head
According to the actual engineering, the range of the Q-H curve is a monotonic interval, and Q can be represented by H:
Q＝f -1 (H)＝Q 0 +A 1 H+A 2 H 2 (5)
furthermore, according to the following data collected during normal operation in actual engineering: p (P) 2 -pressure gauge readings; gamma-liquid bulk weight; d, d h - ±0.000 to the liquid surface distance; h is a 0 - ±0.000 to pump outlet axis distance; r is (r) 0 -outlet pipe radius; h is a p -pressure gauge centre to top of pipe height data, obtaining indirect measurements of flow Q.
The invention has the beneficial effects that:
according to the invention, the total working lift of the water pump is obtained through pressure and liquid level measurement, the problem that the water outlet surface at the tail end of the pump station is unstable and the liquid level data of the pump pit cannot be simply used is solved, and the indirect flow measurement data is obtained. And through uncertainty analysis of indirect measurement, the reliability of the indirect measurement is evaluated.
The indirect measurement of the present invention is not limited to the requirement of isolating upstream water or the requirement of terminal water surface stabilization.
Drawings
FIG. 1 is a diagram of the P of the present invention 2 A graph of relationship with G';
FIG. 2 is a graph showing the calculated relationship between the total flow rate and the confidence interval of the dual pump parallel connection in the embodiment 1 of the invention;
FIG. 3 is a graph showing the calculated relationship between the total flow rate and the confidence interval of the three-pump parallel connection in example 2 of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantageous effects of the present invention more apparent, preferred embodiments of the present invention will be described in detail below to facilitate understanding by the skilled person.
For examples 1 and 2 below, the basic data includes volume weight data, pump station.+ -. 0.000 to pump outlet axis distance h 0 Pump outlet pipe radius r 0 The center of the pressure gauge is up to the height h of the pipe top p And the like are consistent, and meanwhile, the uncertainty evaluation results are also consistent due to the consistency of the measurement scheme and the equipment. And thus are described in detail herein, and are not described in detail in the embodiments.
And acquiring volume weight data, and taking 4 water samples at a water outlet of the pump station. And filling the water samples with 250ml measuring cylinders respectively, peeling and weighing the water samples, reading the quality of the water samples, and taking an average value of 4 groups of data to obtain the volume weight of the water output, wherein the volume weight of the water output is 9.65kN/m < 3 >.
Position data acquisition, measuring pump station + -0.000 to pump outlet pipe axis distance h 0 Pump outlet pipe radius r 0 The center of the pressure gauge is up to the height h of the pipe item p 2.2m,0.43m,0.3m respectively.
Then the total lift is calculated by taking the formula (4) above
Acquisition of uncertainty evaluation results,
(1) Uncertainty analysis of measurement results
Relation between measured and input quantity
H＝H d +G′ ①
G′＝d h -h 0 +r 0 +h p ③
After (2) and (3) are brought into (1),
wherein, the liquid crystal display device comprises a liquid crystal display device,
h-total lift;
P 2 -pressure gauge readings;
gamma-liquid bulk weight;
d h - ±0.000 to the liquid surface distance;
h 0 - + -0.000 to pump outlet axisDistance, 2.2m;
r 0 -outlet pipe radius, 0.3m;
h p -centre of pressure gauge to top height of pipe.
(4) I.e. the mathematical relationship f between each input quantity and the measured value.
(2) Input uncertainty analysis
Uncertainty of pressure gauge (accuracy of pressure gauge used is 0.5% FS)
μ(P 2 )＝0.5％FS＝0.5％*600kPa＝3kPa
Uncertainty of liquid volume weight (using sampled data)
Uncertainty of liquid level meter (precision of liquid level meter 0.3% FS)
μ(d h )＝0.3％FS＝0.3％*20m＝0.06m
Measuring equipment uncertainty and source
Wherein, gamma, h 0 ，r 0 ，h p The material characteristics or the existing state cannot be changed and is not influenced by other input quantities.
P 2 And d h Obviously, see fig. 1.
(3) Uncertainty analysis of total pump station lift H standard
Standard uncertainty calculation
The basis functions are:
based on the input quantity analysis u (h 0 ) 2 ＝0，u(r 0 ) 2 =0, the standard uncertainty calculation formula is:
higher order terms:
when i+.j, only x is left i ＝P 2 ，x j Higher order term when =γ, is
When i=j, only x remains i ＝x j Higher order term when =γ, is
After the higher-order terms are added into a standard uncertainty calculation formula, the method is as follows:
wherein the method comprises the steps of
r(P 2 ，d h )＝-1
Note that: r (P) 2 ，d h ) About-0.978 according to the two-pump parallel test data, about-0.988 according to the three-pump parallel test, and both should be in negative correlation theoretically, so it is considered to be taken as-1 directly.
The standard uncertainty component summary table is as follows:
standard uncertainty component summary table
(4) Pump station total flow Q standard uncertainty analysis
Since the present test builds a mathematical model of Q with respect to the H function, i.e., q=f (H), the function f is a monotonic function, although it is different under different conditions. Thus, the uncertainty of the total head H is evaluated and determined, and the Q distribution range at the specified confidence level can be calculated by the total head H distribution range inclusion function f.
At a 95% confidence level, the 95% inclusion probability interval for the total head measurement is:
H＝h±2×u(H)＝h±0.643 (7)
after this is taken into function f, the inclusion interval for the total flow Q at the 95% confidence level is obtained.
Based on the uncertainty evaluation result, H uncertainty is 0.3212, Δh=2×0.3212= 0.6424. The calculation formula of the total flow interval corresponding to the total lift 95% confidence interval is as follows:
ΔQ＝f(H±ΔH)-f(H)＝[A(H±0.6424) 2 +B(H±0.6424)+C]-[AH 2 +BH+C]
the finishing steps are as follows:
ΔQ＝f(H±ΔH)-f(H)＝0.41267776A±1.2848AH±0.6424B (7b)
(5) Correction values, constants and sources thereof
1) The centre of the pressure gauge is up to the height of the pipe top
Assuming that the measurement from the center of the pressure gauge to the height of the pipe top is biased to conservatively estimate the partition of the equal probability to the measured value of +/-0.05 m, the uncertainty is
2) P in the μ (γ) component 2 Value taking
According to the test result, under the normal operation condition of the pump station, the pressure gauge P 2 The reading range is about 90kPa to 130kPa, and the uncertainty main contribution component is u (d h ) Thus P in μ (γ) 2 The value is 100kPa for the convenience of calculation.
3) Correlation coefficient r (P) 2 ，d h )
r(P 2 ，d h ) About-0.978 according to the two-pump parallel test data, about-0.988 according to the three-pump parallel test, and both should be in negative correlation theoretically, so it is considered to be taken as-1 directly.
Subsequent experiments obtain P under different working conditions 2 、d h And the test data can obtain flow indirect measurement model formulas under different working conditions. The following two embodiments are respectively illustrated with a dual pump and a three pump parallel operation.
Example 1
Method for indirectly measuring submersible sewage pump under double-pump parallel working condition
When the double pumps (3 # pump and 4# pump) are connected in parallel, the data recorded in the pump station section obtained through different tests are as follows:
will be P in the table 2 、d h And substituting the test data into the formula (6) to obtain the total lift H and the corresponding flow Q. And Q, H is substituted into the formula (4) to obtain the Q-H least square simultaneous equation, as follows.
Solving the equation set to obtain Q 0 ＝13861、A 1 ＝-950.73、A 2 = -21.097 to get Q 0 、A 1 、A 2 And (3) carrying out the formula (2), namely the following formula.
Q＝21.097H 2 -950.73H+13861 (8)
The indirect flow Q calculation model formula is obtained.
And obtaining the distribution interval fluctuation range of the indirect flow measurement under the 95% confidence level by taking the formula of each piece of data (7 b) in the total head H data range in the test.
The confidence interval can be obtained by superposing the delta Q to the indirect flow Q calculation model, as shown in figure 2.
Example 2
Method for indirectly measuring submersible sewage pump under working condition of three pumps connected in parallel (1 # pump, 3# pump and 4# pump)
When three pumps are connected in parallel, the data of the pump station section part obtained through different tests are recorded as follows:
will be P in the table 2 、d h And substituting the test data into the formula (6) to obtain the total lift H and the corresponding flow Q. And Q, H is substituted into the formula (4) to obtain a Q-H least square simultaneous equation, which is as follows:
solving the equation set to obtain Q 0 ＝2987.4、A 1 ＝-629.82、A 2 = -28.728 to get Q 0 、A 1 、A 2 And (3) carrying out the formula (2), namely the following formula.
Q＝-28.728H 2 +629.82H+2987.4 (9)
The indirect flow Q calculation model formula is obtained.
And obtaining the distribution interval fluctuation range of the indirect flow measurement under the 95% confidence level by taking the formula of each piece of data (7 b) in the total head H data range in the test.
The confidence interval can be obtained by superposing the delta Q to the indirect flow Q calculation model, as shown in figure 3.
Finally, it is noted that the above-mentioned preferred embodiments illustrate rather than limit the invention, and that, although the invention has been described in detail with reference to the above-mentioned preferred embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the scope of the invention as defined by the appended claims.
Claims (6)
1. A method for indirectly measuring the flow of a submersible sewage pump of a sewage pump station is characterized by comprising the following steps: the method comprises the following steps:
(1) Obtaining the reading P of the pressure meter of the water outlet pipe of the pump 2 Liquid level reading d of pump station h The volume weight r of the conveying fluid, the vertical pipe height h of the pump outlet pipe pressure meter, the radius data of the pump outlet pipe pipeline and the center-to-pipe top height data h of the pump outlet pipe pressure meter p ；
(2) Acquiring the total lift of the water pump according to the data in the step (1);
wherein:
h is the total lift;
P 2 pump outlet line pressureReading a force meter;
gamma-bulk density of the transport fluid;
d h a distance from + -0.000 to the liquid level;
h 0 -0.000 to pump outlet axis distance;
r 0 -outlet pipe radius;
h p -pump outlet pipe pressure gauge centre to pipe top height;
(3) And fitting a characteristic Q-H curve of the water pump by a least square method to obtain a flow calculation function.
2. The method for indirectly measuring the submersible sewage pump flow of the sewage pump station according to claim 1, wherein the method comprises the following steps:
in the step (3), the Q-H characteristic curve of the water pump is as follows:
Q＝Q 0 +A 1 H+A 2 H 2 +...+A m H m (2)
in the method, in the process of the invention,
h is the total lift;
solving an equation set according to a least square method (3)
Obtaining Q 0 、A 1 、A 2 ....A m : will Q 0 、A 1 、A 2 ....A m And (3) carrying out the formula (2) to obtain a flow calculation function.
3. The indirect measurement method for the submersible sewage pump flow of the sewage pump station according to claim 2, wherein the method comprises the following steps: in the formula (2), m is 2 or 3,
taking 2, and obtaining a flow calculation formula as follows:
Q＝Q 0 +A 1 H+A 2 H 2 (4)
taking 3, and obtaining a flow calculation formula as follows:
Q＝Q 0 +A 1 H+A 2 H 2 +A 3 H 3 (5)
4. a method of evaluating the flow measurements obtained in claims 1 to 3, characterized by: and carrying out uncertain evaluation on the measurement of the total head H of the pump station, and obtaining a flow Q evaluation result under the specified confidence by using the uncertainty evaluation result of the total head H.
5. The flow measurement result evaluation method according to claim 4, wherein: the uncertainty related index given by the related input quantity measuring device is used for carrying out the class B evaluation of the uncertainty, and the class B evaluation specifically comprises the following steps:
(1) Determining the relationship between measured and input quantities
H＝H d +G′ ①
G′＝d h -h 0 +r 0 +h p ③
After (2) and (3) are brought into (1),
wherein the measured quantity is H, and the input quantity is P 2 、γ、d h 、h 0 、r 0 、h p ；
H-total lift;
H d -a pump outlet pressure head;
g' -pump outlet pipe manometer measuring point to liquid level distance;
P 2 -pump outlet pressure gauge reading, to be measured;
gamma-transport fluid bulk density, constant for a determined pump station;
d h - ±0.000 to the liquid level, to be measured;
h 0 - + -0.000 to pump outlet shaftLine distance, constant for a determined pump station;
r 0 -outlet pipe radius, constant for a determined pump station;
h p -the centre of the gauge to the height of the roof of the pipe is constant for a determined pump station;
the formula (4) is the mathematical relationship f between each input quantity and the measured value;
(2) Standard uncertainty analysis of total head H
Analysis of u (h) according to the input quantity in equation (4) 0 ) 2 ＝0，u(r 0 ) 2 =0, the standard uncertainty calculation formula is:
higher order terms:
when i+.j, only x is left i ＝P 2 ，x j Higher order term when =γ, is
When i=j, only x remains i ＝x j Higher order term when =γ, is
After the higher-order terms are added into a standard uncertainty calculation formula, the method is as follows:
(3) Obtaining a flow Q uncertainty result according to the Q-H curve fitting
ΔQ＝f(H±ΔH)-f(H)
In the method, in the process of the invention,
h-total head
Δh—expansion uncertainty of total head.
6. The measurement result evaluation method according to claim 5, characterized in that:
compared with the direct flow measurement device, the flow uncertainty is 1.0% FS, i.e. 1.0% full scale
If less than 1.0% fs, less than, uncertainty is considered superior to the direct measurement scheme.
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