CN114877975A - A method of correcting flow error of ultrasonic water meter based on Reynolds number of pipeline inlet - Google Patents
A method of correcting flow error of ultrasonic water meter based on Reynolds number of pipeline inlet Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于流量检测技术领域,涉及一种基于管路入口雷诺数的超声水表流量误差修正方法。The invention belongs to the technical field of flow detection, and relates to a flow error correction method of an ultrasonic water meter based on the Reynolds number of a pipeline inlet.
背景技术Background technique
误差是评价超声水表质量的一个关键指标,是实测流量和标准流量之间的差值占标准流量的百分比,其百分比越小且重复性越小,则超声水表性能越好。超声水表在出厂之前都需要在检定装置上进行累计流量实验,根据实验结果进行误差修正,从而满足准确度等级,所以其流量修正结果决定产品是否合格。Error is a key indicator for evaluating the quality of ultrasonic water meters. It is the percentage of the difference between the measured flow rate and the standard flow rate in the standard flow rate. The smaller the percentage and the smaller the repeatability, the better the performance of the ultrasonic water meter. Before leaving the factory, ultrasonic water meters need to carry out cumulative flow experiments on the verification device, and carry out error correction according to the experimental results, so as to meet the accuracy level, so the flow correction results determine whether the product is qualified or not.
超声水表多采用时间传输法测量原理,主要通过计算超声波在水中的顺逆流传播时间差来求出水流速,最后换算成流过水表管道的流量。超声波传播测量的速度是管路内的线速度VL,而标准流量Q等于截面面积S和截面平均速度VF的乘积,通常采用经验计算公式计算修正系数。但是经验公式都是在理想条件下进行修正补偿,而实际情况下超声水表的管内流体运动状态复杂(见说明书附图1-4),流体温度、粘度系数等环境因素的影响导致线速度VL与截面平均速度VF存在一定区别,经验公式难以正确反映实际流动状况。通常采用标准流量Q和时差T的分段线性插值修正误差提高流量测量准确性。然而,在小口径超声水表的测量中,为提高其声程,往往会使用插片、立柱、支架增加超声波的传播路径,从而导致管道内部实际流场偏离理想状态变得更加紊乱,因此传统的误差修正方法不再适合。尤其在小流量测量中,各个校准点之间区间较小,非线性更明显,流量点的修正不仅会相互影响,修正难度也会加大,而且校准效率低The ultrasonic water meter mostly adopts the measurement principle of the time transmission method, which mainly calculates the water velocity by calculating the time difference between the forward and reverse propagation of ultrasonic waves in the water, and finally converts it into the flow through the water meter pipeline. The velocity of ultrasonic propagation measurement is the linear velocity VL in the pipeline, and the standard flow Q is equal to the product of the cross-sectional area S and the average velocity of the cross-section V F , and the correction coefficient is usually calculated using an empirical formula. However, the empirical formulas are all corrected and compensated under ideal conditions, but in practice, the fluid motion state in the tube of the ultrasonic water meter is complex (see Figure 1-4 in the specification), and the influence of environmental factors such as fluid temperature and viscosity coefficient leads to the linear velocity VL There is a certain difference with the average velocity V F of the section, and the empirical formula is difficult to correctly reflect the actual flow conditions. Usually, the piecewise linear interpolation of the standard flow Q and the time difference T is used to correct the error to improve the accuracy of flow measurement. However, in the measurement of small-diameter ultrasonic water meters, in order to improve the sound path, inserts, uprights, and brackets are often used to increase the propagation path of ultrasonic waves, which causes the actual flow field inside the pipeline to deviate from the ideal state and become more disordered. Error correction methods are no longer suitable. Especially in small flow measurement, the interval between calibration points is small, and the nonlinearity is more obvious. The correction of flow points will not only affect each other, but also increase the difficulty of correction, and the calibration efficiency is low.
发明内容SUMMARY OF THE INVENTION
本发明针对超声水表误差修正存在的问题,提出了一种基于管路入口雷诺数的超声水表流量误差修正方法。Aiming at the problems existing in the error correction of the ultrasonic water meter, the present invention proposes a flow error correction method of the ultrasonic water meter based on the Reynolds number of the pipeline inlet.
本发明采用的技术方案为:The technical scheme adopted in the present invention is:
通过不同流量点下的管路入口雷诺数、标准瞬时流量和被测超声水表瞬时流量,计算得到流量修正系数,建立QⅠ~QⅡ,QⅡ~QⅢ,QⅢ~QⅣ,QⅣ~QⅤ...等不同流量区间内的流量修正系数和管路入口雷诺数的非线性修正模型(QⅠ、QⅡ、QⅢ、QⅣ、QⅤ为被测超声水表量程内的流量点),且每个流量区间包含相邻两个区间各30%的流量点。每个流量区间采用30%~70%处误差值较大且相对集中的校准流量点计算流量修正系数,来校准所在区间的流量;经过两次修正后,使得该流量区间内流量点的误差大大缩小。本发明的误差修正方法使得每个流量区间的修正模型相互独立,不同流量区间的流量点互不影响。Through the pipeline inlet Reynolds number, the standard instantaneous flow rate and the instantaneous flow rate of the ultrasonic water meter under different flow points, the flow correction coefficient is calculated to obtain the flow correction coefficient, and the establishment of Q I ~ Q II , Q II ~ Q III , Q III ~ Q IV , Q IV ~Q Ⅴ ... and other flow correction coefficients and nonlinear correction models of pipeline inlet Reynolds number in different flow intervals (Q Ⅰ , Q Ⅱ , Q Ⅲ , Q Ⅳ , Q Ⅴ are the flow rates within the measured ultrasonic water meter range points), and each flow interval contains 30% of the flow points in each of the two adjacent intervals. In each flow interval, the calibration flow point with a relatively large error value at 30% to 70% is used to calculate the flow correction coefficient to calibrate the flow in the interval; after two corrections, the error of the flow point in the flow interval is greatly increased. Zoom out. The error correction method of the present invention makes the correction models of each flow interval independent of each other, and the flow points of different flow intervals do not affect each other.
本发明的有益效果在于:The beneficial effects of the present invention are:
1、目前超声水表误差修正方法是修正流量和时差的线性公式,而本发明的方法将管路入口的雷诺数引入修正模型。雷诺数是一种可用来表征流体流动情况的无量纲数。小口径超声水表的流体状况复杂,不符合传统的流量系数修正公式,而雷诺数计算公式中包含流体密度、流速、粘度系数等变量,这些变量与流体状态有关,将管路入口雷诺数引入修正模型,使得修正误差从单一的时差到流体状态的多方面综合修正。1. The current ultrasonic water meter error correction method is to correct the linear formula of flow rate and time difference, and the method of the present invention introduces the Reynolds number of the pipeline inlet into the correction model. The Reynolds number is a dimensionless number that can be used to characterize fluid flow. The fluid condition of the small-diameter ultrasonic water meter is complex and does not conform to the traditional flow coefficient correction formula. The Reynolds number calculation formula contains variables such as fluid density, flow rate, and viscosity coefficient. These variables are related to the fluid state. The pipeline inlet Reynolds number is introduced into the correction. The model makes the correction error from a single time difference to a multi-faceted comprehensive correction of the fluid state.
2、本发明将每个流量区间的修正模型独立,使得单一流量点的修正不影响其它流量点,减小了操作人员的修正难度。因为超声水表在小流量测量中,一个校准流量点的误差修正会影响到相邻校准流量点的误差,在修正之后需要验证周围校准流量点的误差,当流量误差超出精度要求时则需要反复确认修正系数,反复实验,这既增加了修正难度也增加了校准超声水表的时间。采用本发明的修正方法,建立每个流量区间的独立修正模型,且相互重叠区间误差修正不影响,便于修正校准流量点,更适用于量程比宽、准确度高的超声水表。2. The present invention makes the correction model of each flow interval independent, so that the correction of a single flow point does not affect other flow points, thereby reducing the difficulty of correction for operators. Because the ultrasonic water meter is in the small flow measurement, the error correction of one calibrated flow point will affect the error of the adjacent calibrated flow points. After the correction, the error of the surrounding calibrated flow points needs to be verified. When the flow error exceeds the accuracy requirements, it needs to be repeatedly confirmed. Correction coefficient, repeated experiments, which not only increases the difficulty of correction but also increases the time for calibrating the ultrasonic water meter. Using the correction method of the invention, an independent correction model for each flow interval is established, and the error correction of overlapping intervals is not affected, which is convenient for correcting and calibrating the flow point, and is more suitable for ultrasonic water meters with wide range ratio and high accuracy.
附图说明Description of drawings
图1为超声水表管道Q3流量垂直截面仿真速度云图;Figure 1 is the simulated velocity cloud diagram of the vertical section of the Q3 flow of the ultrasonic water meter pipeline;
图2为超声水表管道Q3流量水平截面仿真速度云图;Figure 2 is the simulation velocity cloud diagram of the Q3 flow horizontal section of the ultrasonic water meter pipeline;
图3为超声水表管道Q1流量垂直截面仿真速度云图;Figure 3 is the simulated velocity cloud diagram of the vertical section of the Q1 flow of the ultrasonic water meter pipeline;
图4为超声水表管道Q1流量水平截面仿真速度云图;Fig. 4 is the simulation velocity cloud diagram of the Q1 flow horizontal section of the ultrasonic water meter pipeline;
图5为流量区间划分示意图;Figure 5 is a schematic diagram of flow interval division;
图6为本发明基于管路入口雷诺数的超声水表误差修正方法的流程图;Fig. 6 is the flow chart of the ultrasonic water meter error correction method based on pipeline inlet Reynolds number of the present invention;
图7为本发明流量修正模型图。FIG. 7 is a flow correction model diagram of the present invention.
具体实施方式Detailed ways
以下结合附图对本发明进行进一步的详细描述。The present invention will be further described in detail below with reference to the accompanying drawings.
本发明采用的技术方案是:通过不同流量点下的管路入口雷诺数Re、标准瞬时流量QS和超声水表瞬时流量Qm,建立QⅠ~QⅡ,QⅡ~QⅢ,QⅢ~QⅣ,QⅣ~QⅤ...等若干个不同流量区间内的非线性修正模型(其中QⅠ、QⅡ、QⅢ、QⅣ、QⅤ...为超声水表量程内的流量点),其中区间划分如图5所示。考虑到管路内流场受到二次流、脉动流的影响,以及实验校准装置自身存在的系统误差,流量点并不是稳定在一个固定的数值,所以每个流量区间需包含相邻区间各30%的流量点,使得临界区间的流量点同时包含在2个修正模型中。然后在每个流量区间中,采用30%~70%处误差值较大且相对集中的流量点,来计算流量修正系数,用以校准所在区间的流量;经过两次修正后,使得该流量区间内流量点的误差大大缩小。The technical scheme adopted in the present invention is: to establish Q I ~ Q II , Q II ~ Q III , Q III ~ Q Ⅳ , Q Ⅳ ~Q Ⅴ ... and other nonlinear correction models in several different flow intervals (where Q Ⅰ , Q Ⅱ , Q Ⅲ , Q Ⅳ , Q Ⅴ ... are the flow points within the range of the ultrasonic water meter ), where the interval division is shown in Figure 5. Considering that the flow field in the pipeline is affected by the secondary flow and pulsating flow, and the systematic error of the experimental calibration device itself, the flow point is not stable at a fixed value, so each flow interval needs to include 30 points of each adjacent interval. % of the flow points, so that the flow points in the critical interval are included in both correction models. Then in each flow interval, the flow point with large error value and relatively concentrated at 30% to 70% is used to calculate the flow correction coefficient to calibrate the flow in the interval; after two corrections, the flow interval is The error of the inner flow point is greatly reduced.
如图6所示为基于管路入口雷诺数的超声水表误差修正方法的流程图,本方法的步骤如下所示:Figure 6 shows the flowchart of the method for correcting errors of ultrasonic water meters based on the Reynolds number at the inlet of the pipeline. The steps of the method are as follows:
步骤一:将被测超声水表安装在水流量标准检定装置上,通过水流量标准检定装置的上位机设置量程范围内不同的流量点。等待流量稳定后,记录下每个流量点下标准表的标准瞬时流量QS、被测超声水表瞬时流量Qm,并实时采集被测超声水表测量的时差值T。Step 1: Install the ultrasonic water meter to be tested on the water flow standard verification device, and set different flow points within the range through the upper computer of the water flow standard verification device. After waiting for the flow to stabilize, record the standard instantaneous flow Q S of the standard meter under each flow point, the instantaneous flow Q m of the ultrasonic water meter under test, and collect the time difference T measured by the ultrasonic water meter under test in real time.
为了降低随机误差产生的影响,得到准确的修正模型,在相同的标准瞬时流量QS下,多次采集得到被测超声水表测量的时差值T,计算得到平均时差值T。In order to reduce the influence of random errors and obtain an accurate correction model, under the same standard instantaneous flow rate Q S , the time difference value T measured by the ultrasonic water meter to be measured is obtained by multiple acquisitions, and the average time difference value T is calculated.
根据标准瞬时流量QS,计算出管路入口截面平均流速VF,见公式(1);通过公式(2)计算出管路入口的雷诺数Re。According to the standard instantaneous flow Q S , calculate the average flow velocity V F of the pipeline inlet section, see formula (1); calculate the Reynolds number Re at the pipeline inlet through formula (2).
式中ρ、v、μ分别为流体的密度、流速、粘度系数,d为特征长度,S为管道流体域横截面积,QS为标准瞬时流量值。where ρ, v, and μ are the density, velocity, and viscosity coefficient of the fluid, respectively, d is the characteristic length, S is the cross-sectional area of the pipeline fluid domain, and Q S is the standard instantaneous flow rate.
根据公式(3),计算得到被测超声水表测得的线速度VL,根据公式(4)计算得到被测超声水表瞬时流量Qm。然后根据公式(5)计算得到流量修正系数Y,用以建立每个流量区间管路入口雷诺数和流量修正系数的修正模型。According to formula (3), the linear velocity VL measured by the ultrasonic water meter under test is calculated, and the instantaneous flow rate Q m of the ultrasonic water meter under test is calculated according to formula (4). Then, the flow correction coefficient Y is calculated according to formula (5), which is used to establish the correction model of the Reynolds number and flow correction coefficient of the pipeline inlet in each flow interval.
式中C是超声波在水中的传播速度,为采样得到的平均时差值,K为理想状态下面平均速度和线平均速度的比值,Qm为被测超声水表瞬时流量值,Y为流量修正系数,L为声程,θ为超声波路径和管道中轴线的夹角。where C is the propagation speed of ultrasonic waves in water, is the average time difference value obtained by sampling, K is the ratio of the average speed to the linear average speed under ideal conditions, Q m is the instantaneous flow value of the ultrasonic water meter under test, Y is the flow correction coefficient, L is the sound path, θ is the ultrasonic path and The included angle of the central axis of the pipe.
步骤二:建立流量修正系数Y与管路入口的雷诺数Re的修正模型。基于步骤一采集及计算得到的大量实验数据,建立QⅠ~QⅡ,QⅡ~QⅢ,QⅢ~QⅣ,QⅣ~QⅤ...等若干个不同流量区间内的非线性修正模型(其中QⅠ、QⅡ、QⅢ、QⅣ、QⅤ...为被测超声水表量程内的流量点),以管路入口雷诺数Re和流量修正系数Y为自变量和函数,通过matlab得到各个流量区间的流量修正模型:Yi=ai·Ren+bi·Ren-1+····+ci,式中ai、bi…ci为多项式的系数,i为区间序号,n为多项式的变量雷诺数Re次数,其中流量区间可直接重叠相邻两区间的各30%流量点。Step 2: Establish a correction model of the flow correction coefficient Y and the Reynolds number Re of the pipeline inlet. Based on a large number of experimental data collected and calculated in
本实施例中,依据《JJG-162-2009-冷水水表》国家计量检定规程中冷水水表的最小流量点Q1,分界流量点Q2,常用流量点Q3,过载流量点Q4以及0.33(Q1+Q3),0.67(Q1+Q3),,对被测超声水表划分得到依次相连的五个流量区间,分别为Q1~Q2、Q2~0.33(Q1+Q3)、0.33(Q1+Q3)~0.67(Q1+Q3)、0.67(Q1+Q3)~Q3、Q3~Q4,建立对应流量区间的流量修正模型图,如图7所示,图中虚折线是由采集及计算的实验数据绘制而成的;实曲线是修正模型多项式的来源,通过调节n的次数,实现提升趋势线和虚折线的一致程度。考虑到修正模型加入到单片机中后的运算效率且多项式系数不能够过小,n一般取到2-4之间。In this embodiment, according to the national metrological verification regulations of "JJG-162-2009-Cold Water Meter", the minimum flow point Q1 of the cold water water meter, the boundary flow point Q2, the common flow point Q3, the overload flow point Q4 and 0.33 (Q1+Q3) , 0.67(Q1+Q3),, five flow intervals connected in sequence are obtained by dividing the ultrasonic water meter under test, namely Q1~Q2, Q2~0.33(Q1+Q3), 0.33(Q1+Q3)~0.67(Q1+ Q3), 0.67(Q1+Q3)~Q3, Q3~Q4, establish the flow correction model diagram of the corresponding flow interval, as shown in Figure 7, the dotted line in the figure is drawn from the collected and calculated experimental data; The curve is the source of the correction model polynomial. By adjusting the degree of n, the consistency of the trend line and the broken line can be improved. Taking into account the operational efficiency after the correction model is added to the single-chip microcomputer and the polynomial coefficient cannot be too small, n is generally taken between 2-4.
步骤三:建立每个流量区间的修正模型后,将各个校准流量点的管路入口雷诺数代入对应的修正模型中,计算得到对应的各个流量区间流量修正系数Yi,并根据公式(6)计算被测超声水表的修正瞬时流量Q′m。修正模型能够对超声水表实现初次修正,但是因为每一个超声水表管道尺寸、换能器特性、硬件电路等不能够做到完全一致。管道中的立柱支架等凸出结构对于流场影响较大,为了再次提升超声水表的测量精度,需要对流量进行二次修正。本发明通过修正瞬时流量Q′m和标准瞬时流量QS计算二次修正系数Zi(见公式7),运用二次修正的方法,进一步使得测量的流量值接近真值。Step 3: After establishing the correction model for each flow interval, substitute the pipeline inlet Reynolds number of each calibrated flow point into the corresponding correction model, and calculate the corresponding flow correction coefficient Y i for each flow interval, and according to formula (6) Calculate the corrected instantaneous flow rate Q'm of the ultrasonic water meter under test. The correction model can realize the initial correction of the ultrasonic water meter, but because the pipe size, transducer characteristics, hardware circuit, etc. of each ultrasonic water meter cannot be completely consistent. The protruding structures such as column brackets in the pipeline have a great influence on the flow field. In order to improve the measurement accuracy of the ultrasonic water meter again, the flow needs to be corrected twice. The present invention calculates the secondary correction coefficient Z i (see formula 7) by correcting the instantaneous flow rate Q'm and the standard instantaneous flow rate Q S , and uses the method of secondary correction to further make the measured flow value close to the true value.
Q′m=Yi×Qm (6)Q′ m =Y i ×Q m (6)
将计算得到的二次修正系数Zi代入公式(8),计算得到二次修正瞬时流量Q″m:Substitute the calculated secondary correction coefficient Z i into formula (8), and calculate the secondary corrected instantaneous flow rate Q″ m :
Q″m=Zi×Q′m (8)Q″ m =Z i ×Q′ m (8)
最后,计算二次修正瞬时流量Q″m与标准瞬时流量QS之间的误差值。Finally, the error value between the second corrected instantaneous flow rate Q″ m and the standard instantaneous flow rate Q S is calculated.
表1为采用本发明方法得到的实验数据,表2为使用传统方法得到的实验数据,采用两种方法的误差均符合超声水表二级精度要求。但是使用传统方法,一个流量点的误差修正会影响到相邻流量点的误差,在修正之后需要验证周围流量点的误差,当流量误差超出精度要求时则需要反复确认修正系数,反复实验。两种方法对比可得,传统方法在小流量处的误差重复性较差,最小流量为0.01m3/h。而使用本发明方法,经过二次修正后的瞬时流量Q″m与标准瞬时流量QS之间的差距大大缩小,且超声水表测量误差的重复性更佳,最小流量为0.0063m3/h。Table 1 is the experimental data obtained by the method of the present invention, and Table 2 is the experimental data obtained by using the traditional method, and the errors of the two methods meet the requirements of the secondary accuracy of the ultrasonic water meter. However, using the traditional method, the error correction of one flow point will affect the error of the adjacent flow point. After the correction, the error of the surrounding flow points needs to be verified. When the flow error exceeds the accuracy requirement, the correction coefficient needs to be repeatedly confirmed and experiments are repeated. Comparing the two methods, the traditional method has poor error repeatability at small flow rates, and the minimum flow rate is 0.01m 3 /h. Using the method of the present invention, the gap between the instantaneous flow rate Q″ m after the secondary correction and the standard instantaneous flow rate Q S is greatly reduced, and the repeatability of the measurement error of the ultrasonic water meter is better, and the minimum flow rate is 0.0063m 3 /h.
表1 基于管道入口雷诺数误差修正方法实验数据Table 1 Experimental data based on the Reynolds number error correction method at the pipe inlet
表2 传统误差修正方法实验数据Table 2 Experimental data of traditional error correction method
在实际流量校表过程中,无需将量程范围内所有流量修正系数和二次修正系数都计算出来,而是在每个流量区间内取一个误差值较大且相对集中的校准流量点Qiuse(可在该流量区间的30%~70%之间选取),计算其流量修正系数Yiuse和二次流量修正系数Ziuse,将该流量点的Yiuse和Ziuse代入公式(6)和公式(8)作为该流量区间内的修正系数唯一值。In the actual flow calibration process, it is not necessary to calculate all the flow correction coefficients and secondary correction coefficients in the range, but to take a calibration flow point Q iuse ( It can be selected between 30% and 70% of the flow range), calculate its flow correction coefficient Y iuse and secondary flow correction coefficient Z iuse , and substitute the flow point Yi and Z iuse into formula (6) and formula ( 8) As the only value of the correction coefficient in the flow range.
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