Method for calibrating flow meters for fluid media
10677636 ยท 2020-06-09
Assignee
Inventors
Cpc classification
International classification
Abstract
A method for calibrating flow meters for fluid media comprises the steps of guiding a medium (102) through a reference measuring section (101-1) and a test measuring section (101-2) which has a flow meter to be calibrated, establishing at least approximately identical and constant pressure and flow conditions for the medium (102) in both measuring sections (101-1, 101-2), detecting a reference throughflow of the medium (102) through the reference measuring section (101-1) and throughflow values which correspond temporally thereto and are measured by the flow meter (125) to be calibrated of the test measuring section at a preset medium temperature, comparing the detected reference throughflow through the reference measuring section (101-1) with the throughflow values which correspond temporally thereto of the flow meter (125) to be calibrated, in order, based on this, to determine at least one correction value for the calibration of the flow meter (125) at the preset medium temperature, and determining of the respective correction value for the flow meter (125) for different medium temperatures of the medium (102), in order to determine a calibrating function using the temperature-dependent correction values as grid points.
Claims
1. A method for calibrating flow meters for fluid media having the following steps: conducting a fluid medium through a reference measurement section (101-1) and a test measurement section (101-2), having a flow meter (125) to be calibrated, wherein the fluid medium is conveyed in a switchable manner out from a storage tank (103) or out from a circulation container (152) as a closed tank, to the reference measurement section (101-1) and the test measurement section (101-2), wherein, for safety reasons, the switching to the circulation container (152) takes place when the measurement sections (101-1, 101-2) are operated at temperatures of approximately 120 C. or greater, setting at least approximately identical and constant pressure and flow conditions for the fluid medium in both measurement sections (101-1, 101-2), detecting a reference flow of the fluid medium through the reference measurement section (101-1) and flow values corresponding chronologically thereto, which are measured by the flow meter (125) to be calibrated of the test measurement section (101-2) at a preset media temperature, comparing the detected reference flow through the reference measurement section (101-1) to the flow values corresponding chronologically thereto of the flow meter (125) to be calibrated, to ascertain at least one correction value for calibration of the flow meter (125) at the preset media temperature based thereon, and determining respective correction values for the flow meter (125) for different media temperatures of the fluid medium, to ascertain a calibration function on the basis of the correction values.
2. The method as claimed in claim 1, characterized in that the fluid medium is heated to the preset media temperature before the fluid medium enters the test measurement section (101-2), wherein the preset media temperature is kept constant during a running measurement series within the test measurement section (101-2).
3. The method as claimed in claim 1, characterized in that the fluid medium is heated to the preset media temperature before the fluid medium enters the reference measurement section (101-1), wherein the preset media temperature is kept constant during a running measurement series within the reference measurement section (101-1) and the test measurement section (101-2).
4. The method as claimed in claim 1, characterized in that, to detect a total flow rate, a volume of the fluid medium which passes through the reference measurement section (101-1) and the test measurement section (101-2) during a measurement procedure is determined by weighing.
5. The method as claimed in claim 1, characterized in that a correction value k.sub.T for a predetermined media temperature T at a predefined viscosity of the fluid medium is ascertained on the basis of the following equation:
k.sub.T=Q.sub.setpointQ, wherein Q.sub.setpoint denotes a setpoint flow rate and Q denotes a mean value of multiple flow rate measured values detected in chronological succession by means of the flow meter (125) to be calibrated.
6. The method as claimed in claim 1, characterized in that a correction value k.sub.T is ascertained for a predetermined media temperature T on the basis of the following equation:
k.sub.T=Q.sub.setpointQ.sub.masterQ.sub.weighed+Q.sub.cal, wherein Q.sub.setpoint denotes a flow volume to be measured, Q.sub.master denotes a respective mean value of a flow volume ascertained in the reference measurement section (101-1), Q.sub.weighed denotes a respective mean value of a flow volume measured by weighing, Q.sub.cal denotes a mean flow volume in the test measurement section (101-2), and k.sub.T denotes the correction value during a flow of a predetermined flow volume.
7. The method as claimed in claim 6, characterized in that a measurement uncertainty for the flow meter (125) to be calibrated can be ascertained with reference to the following equation on the basis of the ascertained correction value k.sub.T:
8. A calibration device, in particular for carrying out a method, wherein the calibration device has a reference measurement section (101-1) and a test measurement section (101-2) for a flow meter (125) to be calibrated, having means (112, 131) for setting at least approximately identical and constant pressure and flow conditions for a fluid medium in both measurement sections, having means (115, 116, 125) for detecting a reference flow of the fluid medium through the reference measurement section (101-1) and flow values corresponding chronologically thereto through the test measurement section (101-2) at a preset media temperature, having means (195, 198) for comparing the detected reference flow through the reference measurement section (101-1) to the flow values corresponding chronologically thereto of the flow meter (125) to be calibrated, to ascertain at least one correction value based thereon for calibration of the flow meter (125) at the preset media temperature, having means (195, 198) for determining respective correction values for the flow meter (125) for different media temperatures of the fluid medium, to ascertain a calibration function on the basis of the correction values, and having means (104, 155) for the switchable conveyance of the fluid medium (102) from a storage tank (103) or from a circulation container (152), which is designed as a closed tank, to the reference measurement section (101-1) and the test measurement section (101-2), wherein, for safety reasons, the switching to the circulation container (152) takes place when the measurement sections (101-1, 101-2) are operated at temperatures of approximately 120 C. or greater.
9. The calibration device as claimed in claim 8, characterized in that the test measurement section (101-2) is downstream of the reference measurement section (101-1) in a flow direction of the fluid medium (102).
10. The calibration device as claimed in claim 8, characterized in that means (118, 118) for heating the fluid medium (102) are arranged in a flow direction between the reference measurement section (101-1) and the test measurement section (101-2).
11. The calibration device as claimed in claim 10, characterized in that the means (118, 118) for heating the fluid medium have at least one heat exchanger (118) and an associated temperature control device (118).
12. The calibration device as claimed in claim 8, characterized in that means (109-2, 109-4, 132, 134, 135, 140-143) for weighing a flow rate which flows through the reference measurement section (101-1) and the test measurement section (101-2) during a measurement series are downstream of the test measurement section (101-2) in a flow direction of the fluid medium.
13. The calibration device as claimed in claim 12, characterized in that the means for weighing comprise a weighing container (140) for accommodating the fluid medium (102) exiting from the test measurement section (101-2), wherein the weighing container (140) can be fluidically coupled via at least one line (101, 109-2, 109-4) to an outlet of the test measurement section (101-2) and the weighing container (140) has at least one weighing measurement cell (142), which is used for weighing the fluid medium accommodated in the weighing container (140).
14. The calibration device as claimed in claim 12, characterized in that at least one switching valve (135) is provided, which is downstream of an outlet of the test measurement section (101-2) on an outflow side, to conduct the fluid medium exiting from the test measurement section (101-2) into a weighing container (140) in a first valve switch position and to return the fluid medium (102) into the storage tank (103) in a second valve switch position.
15. The calibration device as claimed in claim 8, characterized in that, for exchange and/or replacement of the flow meter (125), at least one switching valve (119) is arranged between the reference measurement section (101-1) and the test measurement section (101-2), which fluidically connects the reference measurement section (101-1) to the test measurement section (101-2) in a first valve switch position and fluidically disconnects the test measurement section (101-2) from the reference measurement section (101-1) in a second valve switch position.
16. The calibration device as claimed in claim 8, characterized in that sensors (110, 111, 113, 117; 119; 120, 121, 123, 127) are arranged in the reference measurement section (101-1) and in the test measurement section (101-2) to detect physical measured variables of the fluid medium (102) at least on the basis of pressure, temperature, and viscosity.
17. The calibration device as claimed in claim 8, characterized in that the storage tank (103) for accommodating the fluid medium (102) and at least one pump (104) are provided, wherein the at least one pump (104) conveys the fluid medium (102) during the calibration operation through the reference measurement section (101-1) and the test measurement section (101-2), which is downstream in a flow direction.
18. The calibration device as claimed in claim 8, characterized in that at least one flow rectifier (112, 122) is provided both in the reference measurement section (101-1) and al-se in the test measurement section (101-2).
19. The calibration device as claimed in claim 8, characterized in that at least two flow meters (115, 116) are arranged in succession in a flow direction in the reference measurement section (101-1).
20. The calibration device as claimed in claim 8, characterized in that the reference measurement section (101-1) has an operating piston (165), which is accommodated so the operating piston is displaceable in a cylinder (166), and which is used to generate a constant, uniform volume stream of the fluid medium (102) in the reference measurement section (101-1) during execution of an operating stroke.
21. The calibration device as claimed in claim 8, characterized in that the reference measurement section (101-2) is designed as a mobile module (197), which is provided with a calibration on the basis of at least one calibration data set (193, 194, 199), wherein the at least one calibration data set (193, 194, 199) provides at least one correction value for a reference function of the mobile module (197).
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Exemplary embodiments of the invention are explained in greater detail in the following description and in the appended drawings. In the schematic figures of the latter:
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DETAILED DESCRIPTION
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(12) After passing through the reference measurement section 101-1, the medium 102 flows through a heat exchanger 118, which is used in cooperation with a temperature control device 118 for the purpose of heating the fluid medium 102 to a predetermined temperature. The medium 102 then arrives via an idle valve 119 in a line section 101-2, which is used as the test measurement section. The test measurement section 101-2 is constructed substantially similarly to the reference measurement section 101-1. A temperature measurement point 120 for detecting the intake temperature of the inflowing medium 102, a viscosity sensor 121, a flow rectifier 122, a pressure measurement point 123, a flow meter or test subject 125 to be calibrated, and an output pressure measurement point 127 are arranged in succession in the flow direction in the test measurement section 101-2. In this case, the pressure measurement point 123 is arranged in an inflow section 124, which extends between the flow rectifier 122 and the flow meter 125 to be calibrated. The output pressure measurement point 127 is arranged in a drain section 127, which is connected on the outflow side to the flow meter 125 to be calibrated. The flow rectifier 122 is used for the purpose of substantially avoiding a turbulent flow in the test measurement section 101-2. The medium 102 then arrives at a switching valve 129, which is downstream of the drain section 127 and is designed as a 4/2-multiport valve and, in a first valve switch position or idle position, fluidically connects the drain section 127 to a throttle valve 131 used for setting a constant pressure, while in contrast, in a second valve switch position, it fluidically connects the drain section 127 to a proportional throttle valve 130, which is used for setting a variable pressure. In this case, the outlets of the two throttle valves 130, 131 are fluidically connected to one another and are jointly guided via the line 101 to a switching valve 132. Because the switching valve 129 is located in its idle position, the medium 102 coming out of the test measurement section 101-2 flows through the throttle valve 131, which keeps the pressure constant at this point, and arrives at the switching valve 132. In its first valve switch position, the switching valve 132 lets through the medium 102, which comes from the test measurement section 101-2, depending on the switch position of the circulation valve 129, via one of the two throttle valves 130, 131 arranged in parallel to one another, to a heat exchanger 134, which is fluidically connected on the inflow side to the valve 132 via a line 109-2 and on the outflow side to a valve 135. The valve 135, in its first switch position, lets through the medium 102 cooled down by the heat exchanger 134 and; via a line 109-3, it returns into the storage tank 103. In its second switch position, the switching valve 135 connects the part of the line 109-2, which leads away on the outflow side from the heat exchanger 134, to a line 109-4, which leads into a weighing container 140 having a fill level meter 141 and two weighing cells 142, so that the medium 102 flowing into the weighing container 140 is measurable by means of the fill level meter 141 and the two weighing cells 142. A switching valve 143 arranged between outlet of the weighing container 140 and the storage tank 103 blocks the outlet of the weighing container 140 in a blocking position or releases the outlet of the weighing container 140 to the intake of the storage tank 103 in a passage position. In a second switch position of the switching valve 132, the line 109-2 to the weighing container 140 is blocked and a line 109-1, which leads to an intake of the circulation container 152, is released, so that the medium 102, which arrives from the test measurement section 101-2 via one of the throttle valves 130 or 131 and subsequently exits through the switching valve 132, arrives in the circulation container 152 via the line 109-1. A switching valve 151, which is connected on the outflow side to the outlet of the circulation container 152, connects, in its first switch position, the outlet of the circulation container 152 to a line 139-2 leading into the storage tank 103, so that the medium 102 collected in the circulation container 152 can drain into the storage tank 103. In the second switch position of the switching valve 151, the line 139-2 is blocked and the outlet of the circulation container 152 is connected to a line 139-1, which leads to a switching valve 155. In a first switch position of the switching valve 155, the pump 104 is connected via the line 101 to the storage tank 103, so that the pump 104 can suction the medium 102 out of the storage tank 103; in contrast, in the second switch position of the switching valve 155, the line section 139-1 is connected to the part of the line 101 leading to the pump 104 and therefore the pump 104, instead of conveying the medium 102 out of the storage tank 103, can suction the medium coming from the circulation container 152 and pump it further to the reference measurement section 101-1 and test measurement section 101-2; this switching configuration of the device 100 is selected for safety reasons in particular if the device 100 is operated at higher temperatures, for example, at 120 C. and greater, and the circulation container 152 is required as a closed tank for the medium 102 for this purpose.
(13) The circulation container 152 has a second intake, which is provided with a fill level meter 153; via the second intake, the circulation container 152 can also be filled or refilled with the medium 102 from the storage tank 103 without interconnecting the reference measurement section 101-1 and test measurement section 101-2. For this purpose, the switching valve 105, which is downstream of the pump 104 in the line 101, and which releases the line 101 to the throttle valve 106 in the direction of the reference measurement section 101-1 in its first valve switch position, is switched over into its second valve switch position, in which the line 101 to the throttle valve 106 and therefore to the reference measurement section 101-1 and test measurement section 101-2 is blocked, wherein simultaneously a line section 109-7 is opened, which leads via a filter unit 105 to the switching valve 154. In its first valve switch position, the switching valve 154 connects the line section 109-7 to a line section 109-8, which leads directly into the storage tank 103, so that the medium 102 suctioned by the pump 104 from the storage tank 103 can flow in filtered form back into the storage tank 103, while in contrast, in its second valve switch position, it connects the line section 109-7 to a line section 109-6, which leads to the second intake of the circulation container 152 and therefore the medium 102 suctioned by the pump 104 out of the storage tank 103 can arrive in filtered form in the circulation container 152. In this case, the filling or refilling of the circulation container 152 is monitored by means of the fill level meter 153.
(14) To exchange or replace a flow meter 125 to be calibrated, the switching valve 119, which is arranged between reference measurement section 101-1 and test measurement section 101-2, is switched out of its first valve switch position, i.e., its starting position, in which the reference measurement section 101-1 is fluidically coupled to the test measurement section 101-2, into its second valve switch position, in which the test measurement section 101-2 is fluidically disconnected from the reference measurement section 101-1, so that the test measurement section 101-2 does not run empty during such a change from the test subject 125 to another test subject 126 and penetration of air into the test measurement section 101-2 can be avoided. For this purpose, the switching valve 119 on the one hand, blocks, in its second valve switch position, the part of the line 101 leading to the test measurement section 101-2, and, on the other hand, connects the end on the outflow side of the heat exchanger 118, which is downstream of the reference measurement section 101-1, to a line section 109-5, which leads to the switching valve 150, whichin cooperation with the switching valve 119is switched over into its second valve switch position and at the same time connects through the line section 109-5 to an intake of the circulation container 152, so that the medium flowing out of the reference measurement section 101-1 can drain off during an exchange or replacement procedure into the circulation container 152.
(15) The switching valves 105, 119, 129, 132, 135, 143, 151, 154, and 155 of the calibration device 100 shown in
(16) In a method aspect, to calibrate a flow meter or test subject 125 in the test measurement section 101-2, the fluid medium 102 is taken from the storage tank 103 by means of the pump 104 and supplied in a pressure-stabilized manner to the reference measurement section 101-1, wherein the circulation container 152 is additionally filled. The switching valve 132 is subsequently closed. In the reference measurement section 101-1, the temperature T.sub.1 is measured by means of the measurement point 110, and the pressure p.sub.1 is measured by means of the pressure measurement point 113 before the flow meter 115, which functions as a reference, and also the viscosity of the medium 102 is determined at the measured temperature T.sub.1 by means of the viscometer 111. After heating of the fluid medium 102 by means of the heat exchanger 118 and the temperature control device 118, in the test measurement section 101-2, the temperature T.sub.2 is measured by means of the measurement point 120, the viscosity of the medium 102 at the measured temperature T.sub.2 is determined by means of the viscometer 121, and the pressure at the flow meter or test subject 125 to be calibrated is regulated by means of the proportional throttle valve 130 so that the pressure p.sub.3, which is detected by means of the pressure measurement point 123, before the flow meter 125 corresponds to the pressure p.sub.4, which is detected by means of the pressure measurement point 127, until stable pressure conditions result between the reference measurement section and the test measurement section 101-2. These stable pressure conditions are present when the pressure p.sub.6, which is detected by means of the pressure measurement point 119 arranged between reference measurement section and test measurement section, corresponds to the pressure p.sub.1, which is detected by means of the pressure measurement point 113, which is arranged in the reference measurement section 101-1 before the flow meter 115 operating as the standard. Thus, if p.sub.3p.sub.4 and p.sub.6p.sub.1, stable pressure conditions are thus present and the data detection can be started for the calibration of the flow meter 125.
(17) To carry out an optionally provided weighing procedure thereafter, according to a predetermined measurement cycle, the switching valve 132 is opened and the switching valve 135, which is provided for activating a weighing procedure, is switched so that the medium 102, which comes out of the test measurement section 101-2 and is thereupon cooled down by means of the heat exchanger 134, reaches the weighing container 140 in a time-controlled manner. The switching valve 135 provided for activating the weighing procedure is closed thereafter and the circulation container 152 is refilled if needed by means of the switching valve 154. After a predetermined relaxation time, the filling quantity of the weighing container 140 is measured by means of the weighing cells 142 and the fill level meter 141 and stored in a calibration table.
(18) Table 1 below shows an example of a measurement series, which is used for calibrating a test subject 125, for a standard flow rate value, which is determined as a setpoint, of 160.0 L/hour at a temperature T90 C. In this case, flow rate values Q.sub.master detected by the flow meter 115 and the simultaneous temperature measured values T.sub.master in C. corresponding thereto at the temperature measurement point 110 and pressure measured values p.sub.1 in bar at the pressure measurement point 113 for the reference measurement section 101-1 are listed in the first three columns of Table 1, while the flow rate values Q.sub.(1), Q.sub.(2), Q.sub.(3), and Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor), which are associated with a respective flow rate value Q.sub.master, are shown opposite in the remaining columns, which are measured in the test measurement section 101-2 at the test subject 125 to be calibrated. The measured values Q.sub.(1), Q.sub.(2), and Q.sub.(3) detected by the flow meter or test subject 125 are measured in rapid succession within a chronological measurement window, to take into consideration fluctuations and/or variations within the preset measurement window. To additionally eliminate systematic measurement errors, for example, metrological artifacts in the measured values detected by the test subject 125, which are outside a predefined tolerance range of 1.5% with respect to the standard flow rate value of 160.0 L/hour, for each measured value Q.sub.(1), Q.sub.(2), and Q.sub.(3), associated correction measured values Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor) are ascertained, in that values located outside the tolerance range remain unconsidered. A respective mean value is formed from the respective measured values for Q.sub.master, T.sub.master, p, and Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor), wherein a single mean value Q is formed from the mean values for Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor), which represents a measure of the deviation of the test subject 125 to be calibrated from the standard value and which is Q=158.52 L/hour for the measurement series listed as an example in Table 1. To determine the precise deviation, a first correction value or correction factor k.sub.1 is ascertained for the reference measurement section 101-1, which results from the deviation of the mean value for Q.sub.master, i.e., 160.46 L/hour, in relation to the standard flow rate value of 160.0 L/hour, as k.sub.1=0.46. On this basis, a further correction value or correction factor k.sub.2, T is determined, which may be calculated on the basis of the following equation (1):
k.sub.2, T=Q.sub.masterQ.sub.cal|k.sub.1, T|equation (1)
(19) In this case, Q.sub.master denotes the mean value of the flow rate measured values detected by the flow meter 115, Q.sub.cal denotes the mean flow volume at the test subject 125, and |k.sub.1, T| denotes the absolute value of the first correction value. Q.sub.cal corresponds to the mean value in Table 1 resulting from Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor). Therefore, equation (1) supplies a correction value k.sub.2, T, which is 1.48 L/hour, for the measurement series shown as an example in Table 1. Both the correction value k.sub.2, T and also the correction value k.sub.1, T can apply only for the specified measurement temperature T, so that to prepare a calibration curve extending over a broad temperature curve, a plurality of measurement series at different temperatures in the desired temperature range is required, wherein the correction values or correction factors ascertained at a respective temperature are used as support points for the calibration curve. An alternative formulation of equation (1) can be represented by equation (2):
k.sub.2, T=Q.sub.setpointQequation (2)
(20) In this case, Q.sub.setpoint denotes a flow volume to be measured, where Q denotes the mean value of the flow rate measured values detected by the flow meter 115.
(21) By way of the introduction of the correction value k.sub.1 for the reference measurement section 101-1, it is possible to use different reference flow meters during the calibration within a measurement series, by considering the respective correction value k.sub.1 associated with a flow meter for a back calculation to a shared database.
(22) TABLE-US-00001 TABLE 1 Q.sub.Master T.sub.Master p Q.sub.(1) Q.sub.(1cor) Q.sub.(2) Q.sub.(2cor) Q.sub.(3) Q.sub.(3cor) 160.1 90.0 3.05 158.8 158.8 157.8 157.8 159.9 159.9 160.2 90.1 3.04 159.2 159.2 158.2 158.2 158.7 158.7 159.9 90.1 3.06 158.6 158.6 158.6 158.6 158.2 158.2 160 90.2 2.98 158.5 158.5 158.7 158.7 157.9 157.9 161 89.9 3.0 156.9 158.2 158.2 158.5 158.5 160.9 89.8 3.02 158.4 158.4 157.9 157.9 156.8 160.7 90.0 3.04 158.6 158.6 158.0 158.0 158.1 158.1 160.8 90.1 3.01 159.4 159.4 158.5 158.5 158.3 158.3 160.5 90.0 2.98 158.9 158.9 158.3 158.3 158.4 158.4 160.5 89.9 2.99 158.7 158.7 157.9 157.9 159.1 159.1 160.46 90.01 3.02 158.79 158.21 158.57 Q = 158.52 Correction factor k.sub.1 = 0.46 k.sub.2.T = 1.48
(23) Table 2 shows an example of the dependence of the correction value k.sub.2, T on the temperature of the medium flowing through the test measurement section 101-2 and on the flow rate thereof for a broad temperature range 70 C.T100 C. and flow rate range Q at 70 L/hourQ200 L/hour. Table 2 essentially results from a synthesis of a plurality of measured values prepared according to the scheme of Table 1 for different temperatures of the medium and different flow rates in each case. Therefore, Table 2 forms the cornerstones of a calibration curve or calibration function. Intermediate values are determinable by interpolation.
(24) TABLE-US-00002 TABLE 2 Correction value k.sub.2,T Q (l/h) T1 = 70 C. T2 = 80 C. T3 = 90 C. T4 = 100 C. 40 50 60 70 0.96 1.10 1.26 80 90 100 110 120 1.06 1.22 130 140 150 1.12 160 1.16 1.28 1.48 1.58 170 180 190 200 1.14 1.30 1.54 210 220 230
(25) Table 3 shows, for the ascertainment of a correction value or correction factor k.sub.3, an example of a measurement seriessimilar to Table 1for calibrating a test subject 125, for a standard flow rate value, which is determined as a setpoint, of 160 L/hour at a temperature T 90 C. and a system pressure of 3 bar. In this case, the correction factor k.sub.3 is used for ain contrast to Table 1 in conjunction with equation (2) or (3)still more accurate determination of the flow volume and for this purpose takes into consideration an additional measurement of the flow rate which has passed through the reference measurement section and test measurement section during a calibration procedure, with the aid of the weighing container 140 at a removal time of 15 seconds. Flow rate values Q.sub.master detected by the flow meter 115 and the simultaneous temperature measured values T.sub.master in C. corresponding thereto at the temperature measurement point 110 and pressure measured values p.sub.1 in bar at the pressure measurement point 113 for the reference measurement section 101-1 are listed in the first three columns of Table 1, while in the adjacent columns, on the one hand the flow rate values Q.sub.(1), Q.sub.(2), Q.sub.(3), which are measured in the test measurement section 101-2 at the test subject 125 to be calibrated, and associated correction values Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor) are shown opposite and, on the other hand, a flow volume measured in the weighing container 140 is entered in the last column. The measured values Q.sub.(1), Q.sub.(2), and Q.sub.(3) detected by the flow meter or test subject 125 are measured in rapid succession within a chronological measurement window, to take into consideration fluctuations and/or variations within the preset measurement window. To additionally eliminate systematic measurement errors, for example, metrological artifacts in the measured values detected by the test subject 125, which are outside a predefined tolerance range of 2% with respect to the standard flow rate value of 160.0 L/hour, for each measured value Q.sub.(1), Q.sub.(2), and Q.sub.(3), associated correction measured values Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor) are ascertained, in that values located outside the tolerance range remain unconsidered. A respective mean value is formed from the respective measured values for Q.sub.master, T.sub.master, p, and Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor), wherein a single mean value Q is formed from the mean values for Q.sub.(1cor), Q.sub.(2cor), Q.sub.(3cor), which represents a measure of the deviation of the test subject 125 to be calibrated from the standard value and which is Q=161.84 L/hour for the measurement series listed as an example in Table 3. To determine the precise deviation, in addition the measured values obtained by weighing are taken into consideration by means of the correction value or correction factor k.sub.3. The calculation of the third correction value k.sub.3 takes place in this case according to the following equation:
k.sub.3, 160=Q.sub.setpointQ.sub.masterQ.sub.weighing+Q.sub.calequation (3)
(26) In this case, Q.sub.setpoint denotes the flow volume to be measured, Q.sub.master denotes the respective mean value of the flow volume measured at the reference measurement section, Q.sub.weighing denotes the respective mean value of the flow volume measured at the reference scale 140, Q.sub.cal denotes the mean flow volume at the test subject 125, and k.sub.3,160 denotes the third correction value during a flow of a predetermined flow volume. Using the measurement series listed as an example in Table 3, the following therefore results for the third correction value k.sub.3,160160161.02158.97+161.84=1.85 L/hour, i.e., at a predetermined flow rate of 160 L/hour and a media temperature of T90 C., a mean correction quantity of 1.85 L/hour results for the flow meter to be calibrated.
(27) To obtain the correction value or correction factor k.sub.3, the optionally provided weighing procedure is carried out in the scope of the calibration, i.e., when stable pressure conditions and temperature conditions exist in the device 100, which are provided when the check of the corresponding measurement points has the result p.sub.3p.sub.4 and p.sub.6p.sub.1, whereupon the switching valve 132 is opened and the switching valve 135 provided for activating a weighing procedure is switched so that the medium 102, which comes out of the test measurement section 101-2 and is thereupon cooled down by means of the heat exchanger 134, enters the weighing container 140 in a time-controlled manner. The switching valve 135 provided for activating the weighing procedure is closed thereafter and the circulation container 152 is refilled if necessary by means of the switching valve 154. After a predetermined relaxation time, the filling quantity of the weighing container 140 is measured by means of the weighing cells 142 and the fill level meter 141 and stored in a calibration table.
(28) TABLE-US-00003 TABLE 3 Q.sub.Master T.sub.Master p Q.sub.(1) Q.sub.(1corr) Q.sub.(2) Q.sub.(2corr) Q.sub.(3) Q.sub.(3corr) Q.sub.weighing 161.53 89.90 2.98 161.70 161.70 161.53 161.53 162.54 162.54 159.3 161.10 90.00 3.05 161.80 161.80 161.21 161.21 162.21 162.21 161.58 90.30 3.08 162.23 162.23 161.96 161.96 161.83 161.83 160.66 90.80 3.15 161.72 161.72 160.58 160.58 161.96 161.96 160.80 90.10 3.01 162.40 162.40 161.82 161.82 162.14 162.14 161.46 90.30 3.00 162.22 162.22 161.56 161.56 162.53 162.53 161.54 90.10 3.03 161.92 161.92 161.74 161.74 161.75 161.75 160.90 90.10 3.06 161.66 161.66 161.22 161.22 161.83 161.83 161.10 90.00 3.01 160.98 160.98 161.85 161.85 161.52 161.52 160.96 89.90 2.98 160.56 160.56 161.64 161.64 162.85 162.85 160.86 89.90 3.00 161.90 161.90 161.53 161.53 162.41 162.41 158.7 160.92 89.80 2.95 161.85 161.85 162.03 162.03 161.79 161.79 161.21 89.90 3.04 162.43 162.43 161.96 161.96 161.83 161.83 161.22 90.00 3.04 161.60 161.60 161.42 161.42 162.54 162.54 161.52 90.10 2.95 162.48 162.48 161.52 161.52 162.38 162.38 160.15 90.00 2.96 162.22 162.22 162.36 162.36 161.42 161.42 160.50 89.80 2.99 161.70 161.70 161.41 161.41 162.05 162.05 160.85 89.90 3.00 162.41 162.41 161.52 161.52 161.72 162.72 161.87 89.80 2.92 161.67 161.67 161.43 161.43 162.33 162.33 161.00 89.90 2.98 162.50 162.50 161.25 161.25 161.56 161.56 160.54 90.00 3.02 162.45 162.45 161.52 161.52 162.12 162.12 158.9 160.20 90.10 3.04 162.27 162.27 161.43 161.43 161.92 161.92 160.47 90.10 2.92 161.65 161.65 161.28 161.28 160.98 160.98 160.85 90.00 3.02 161.21 161.21 161.89 161.89 161.76 161.76 160.87 90.00 3.04 162.01 162.01 161.92 161.92 161.88 161.88 160.90 89.80 3.02 161.40 161.40 162.39 162.39 161.92 161.92 160.92 89.80 3.01 162.23 162.23 162.54 162.54 161.33 161.33 161.83 89.90 3.02 161.65 161.65 161.88 161.88 161.45 161.45 160.50 90.00 2.98 162.05 162.05 161.83 161.83 162.57 162.57 160.89 89.90 2.96 161.30 161.30 162.37 162.37 161.74 161.74 161.02 90.01 3.01 161.87 161.69 161.96 158.97 161.84
(29)
(30) To carry out a calibration in the cold state of the medium, i.e., without heating of the medium pumped out of the storage tank 103, the thermal valve 160 now remains in its first valve switch position, in which the line section of the line 101 leading directly to the switching valve 161 is released. To operate the linear drive unit 164 as the reference measurement section, the switching valves 161, 162, and 163 are provided, which are designed as 4/2-multiport valves. The switching valve is used to switch the inflow of the medium to the linear drive unit 164 and the outflow from the linear drive unit 164 depending on the movement direction of the linear piston 165. To calibrate a flow meter or test subject 125, the linear piston 165 is accelerated to a predetermined velocity. After reaching the predetermined velocity, the measurement procedure is started and it is stopped before the deceleration of the linear piston at its respective end position. After a relatively short flushing time by means of the two switching valves 162, 163 to fill the operating cylinder, a restart is performed by activating the switching valve 161 by way of signal reversal and at the same time changing the thrust direction of the linear piston 165 in the linear drive unit 164.
(31) To carry out a calibration in the hot state of the medium using the calibration device 100 according to
(32)
(33) Table 4 shows an example of a measurement series used to calibrate a test subject 125 using the device according to
(34) A correction value or correction factor k.sub.3,160 for a setpoint flow is determinable on the basis of the equation (3) on the basis of the measured values indicated in Table 4 for Q.sub.master, T.sub.master, p, Q.sub.test subject, Q.sub.(1cor), and Q.sub.weighing. The mean correction quantity is accordingly, at a setpoint of 160.0 L/hour and a media temperature of 90.19 C., according to k.sub.3,160=Q.sub.setpointQ.sub.masterQ.sub.weighing+Q.sub.cal=160.0160.63159.46+161.77 1.69 L/hour.
(35) TABLE-US-00004 TABLE 4 Q.sub.Master T.sub.Master p Q.sub.(1corr) Q.sub.weighing foreward run 160.15 89.90 3.51 161.70 161.70 159.6 160.30 90.00 3.52 161.60 161.60 160.48 90.30 3.52 161.88 161.88 159.88 90.80 3.53 161.27 161.72 160.12 89.90 3.49 161.90 161.90 reverse run 160.92 90.28 3.56 161.85 161.85 159.43 160.71 90.19 3.58 161.66 161.66 160.82 90.17 3.58 161.60 161.60 160.75 90.18 3.57 161.78 161.78 160.89 90.22 3.57 161.22 161.22 foreward run 160.78 90.21 3.57 161.88 161.88 159.89 160.69 90.24 3.60 161.78 161.78 160.71 90.19 3.58 161.72 161.72 160.70 90.20 3.57 161.85 161.85 160.69 90.18 3.58 161.70 161.70 reverse run 160.54 90.16 3.56 162.45 162.45 158.9 161.20 90.18 3.54 162.27 162.27 160.47 90.18 3.50 161.65 161.65 160.85 90.20 3.50 161.21 161.21 160.87 90.21 3.52 162.01 162.01 160.63 90.19 3.55 161.77 159.46 161.77
(36) To also take into consideration measurement uncertainties in the calibration, in addition to the correction value or correction factor k.sub.3, which detects the random, i.e., statistical components of the measurement deviation, further variables, which are used to estimate a systematic component of the measurement deviation, are to be considered according to the following equation, which is based on mathematical statistics and/or probability theory:
(37)
(38) In this case, u denotes the measurement uncertainty, while the variables c.sub.R, c.sub.L, c.sub.S, c.sub.I and c.sub.V denote the systematic components of the measurement deviation.
(39) Thus, c.sub.R denotes a variable which considers a range span, reaction time, or measurement tolerance, which can occur as a comparison point difference upon the comparison of measurements at the reference flow meter and the test subject to be calibrated. A variable is denoted by c.sub.L, which is used to linearize the reference measurement section and considers metrological scattering, for example, as a result of intrinsic oscillations of the fluid stream, switching pulsations of valves, and pressure variations due to regulating procedures. A variable is denoted by c.sub.S, which considers aging processes, which impair the long-term stability, within the reference measurement section, for example, due to abrasion at flow edges, due to the occurrence of leaks or deposits, or due to electrical wear. A variable is denoted by c.sub.I, which considers an uncertainty occurring upon the interpolation and/or calculation of intermediate values. Finally, a variable is denoted by c.sub.V, which considers a viscosity difference, which occurs in particular upon hot calibration with cyclic weighing during the refilling of the medium from the storage tank as a result of different media temperatures. Empirical studies have shown that a measurement uncertainty of approximately 0.22 L/hour is to be used for c.sub.R, a measurement uncertainty in the range of 0.20 to 0.3 is to be used for c.sub.L, a measurement uncertainty in the range of 0.12 to 0.15 is to be used for c.sub.S, a measurement uncertainty in the range of 0.10 to 0.15 is to be used for c.sub.I, and a measurement uncertainty of approximately 0.05 is to be used for c.sub.V.
(40) While neglecting the systematic variables c.sub.I and c.sub.V, equation (4a) may also be represented according to the following equation in explicit dependence on the correction value or correction factor k.sub.3,T:
u=0.5*{square root over (k.sub.3,T.sup.2+c.sub.R.sup.2+c.sub.S.sup.2+c.sub.L.sup.2)}Equation (4b)
(41) As an example, the following results on the basis of the measurement database listed in Table 3 for the overall measurement uncertainty according to equation (4b):
(42) u=0.5*{square root over (1.85.sup.2+0.22.sup.2+0.15.sup.2+0.30.sup.2)}=0.947 in units of liters/hour. Therefore, according to this database, the flow rate value of 160 L/hour is to be understood with aroundedminimum tolerance of 1, so that 1601 L/hour applies to the flow rate.
(43)
(44)
(45)
(46) If a positive result is provided from both query steps 313 and 316 in the block 310 on the basis of the ready messages 317 and 318, the calibration is thus started within the the block 350 in a step 319, because a stable test state is achieved. After starting the calibration 319, the number of the reference measurement data is determined for the flow to be measured in a step 323 for the reference measurement section and also the number of the test measurement data is determined for the test measurement section in a step 324, for example, 50 measurements each for one measurement cycle, wherein the number of the measurement cycles is defined for both measurement sections in a step 323. Step 323 is followed by step 325, in which the measurement data for the reference measurement section are detected. In parallel thereto, an intermediate step 324 follows step 324 for the determination of the number of the measurement data in the test measurement section, in which a query is performed as to whether a weighing procedure is carried out for the flow rate flowing through during a measurement cycle and the result of which is to be compared to the reference and test measurement data; if the query 324 is answered in the positive, the flow rate of the medium is thus cyclically weighed in step 324, while otherwise a jump occurs to step 326, in which the respective measurement data are detected for the test measurement section. If steps 325 and 326, which run in parallel, for detecting the respective measurement data are completed, step 325 is thus followed by a step 327 for analyzing the measurement data detected in the reference measurement section, while similarly thereto, step 326 is followed by a step 328 for analyzing the measurement data detected in the test measurement section. In a joint calculation step 329, the data from both step 327 and also step 328 are brought together and the respective differences are calculated, which are then checked in a following step 330 for predetermined tolerances. In addition, step 327 is followed by a step 331, in which the measurement uncertainty for the measurement data obtained on the reference measurement section is calculated, while in a step 332, which follows step 328, the corresponding measurement uncertainty is calculated for the measurement data obtained on the test measurement section, wherein the calculation is performed on the basis of equation (4a) or (4b), respectively. If the respective calculation in steps 331 and 332 and also in joint test step 330 has the result that the total tolerance was maintained and a predetermined amount of the measurement uncertainty, for example, , was not exceeded, the calibration is thus completed. The corresponding results from steps 331 and 332 are displayed in a table in a display block 333, on the one hand, and graphically displayed in a display block 334 as a setpoint/actual value comparison, on the other hand. In a following step 335, the data from steps 333, 334 can be output as a log. In addition, in a step 332 following calculation step 332, correction values are ascertained in the measurement data for the test measurement section and then provided in a step 336 for data transfer for other subprogram blocks.
(47)
(48)
(49)