EPJ Web of Conferences 299, 01014 (2024)                                                                 https://doi.org/10.
1051/epjconf/202429901014
EFM 2022
        Measurement of a ball valve as a control valve
        Daniel Himr1* and Pavel Dokoupil2
        1
         Brno University of Technology, Faculty of Mechanical Engineering, Energy Institute, Viktor Kaplan Department of Fluid Engineer-ing,
        Technická 2, 616 69, Brno, Czech Republic
        2
         Institute of Applied Mechanics Brno, Ltd., Resslova 972/3, 602 00, Brno, Czech Republic
                    Abstract. There are more possibilities how to control flow rate in a pipeline system. When the flow is
                    provided by pump, it is very economic to use frequency converter to change the pump speed which leads to
                    flow rate change. Another possibility is to change number of running pumps, when pump station contains
                    more than one unit. Control valve is used in systems without pump regulation especially, when the initial
                    costs has to be low. The paper is focused on measurement of control ability of a ball valve. Generally, ball
                    valves are not suitable to fulfil flow control function, but in an emergency case, when the control valve is
                    damaged and the system has to be operated, there is no other possibility, but to use the ball valve.
        1 Introduction
        Flow through a hydraulic system is determined by pres-
        sure drop and resistance to flow. To control the flow, the
        option of control the system resistance is logically offered,
        which is carried out using control valves, i.e. elements
        capable of changing their resistance. The control fittings
        must have a dominant pressure loss compared to the rest
        of the system to secure an effective operation.
             Another requirement is that the pressure loss of the
        system should be, if possible, linear depending on the
        opening of the control valve, which is rather difficult to ful-
        fil in the entire range of opening (0 to 100 %), that is why           Fig. 1. Ball valve.
        the manufacturers try to have the widest possible control
                                                                               cannot be controlled, so they cannot be used for flow con-
        band, at least.
                                                                               trol. In pipeline systems, there is often a combination of
             Furthermore, the cavitation behaviour of the armature
                                                                               control and shut-off fittings, where the first serves to con-
        is monitored [1], [2], i.e. cavitation resistance and change
                                                                               trol the flow and the second ensures tightness in the case
        in flow resistance due to the cavitating area. Possible
                                                                               of zero flow.
        pressure and mechanical vibrations resulting from flow
                                                                                     This article describes the measurement of the control
        through the fitting are also an important factor.
                                                                               capabilities of a ball valve, which is intended for a spe-
             In addition to the control elements, the system also in-          cific location, and which definitely does not belong to the
        cludes closing/shut-off fittings (e.g. ball valve, see Fig-            group of control fittings. However, the system itself has
        ure 1), which are not designed to control the flow but have            such pressure losses that the maximum flow requirements
        good sealing properties. If these fittings are used for regu-          would not be met after the installation of the control valve.
        lation after all, they may show worse regulation properties            The system has been in operation for over ten years and
        [3], [4], higher force is needed to control them, and they             now it is time to replace the ball valve with a new one. For
        have worse cavitation behaviour. There is also a risk of               that reason, it was necessary to measure its control abili-
        significant mechanical vibrations [5], [6], [7].                       ties.
             The last significant group of fittings are the one-way                Ball valves have minimal losses at full opening and ef-
        elements, which should have minimal losses in the direc-               fective control is possible only in a narrow opening range,
        tion of flow, and they should not allow any reverse flow.              which makes the controlled system very sensitive to any
        Due to the principle of their construction, these elements             change. In addition, with a small opening, there is a risk
        * Corresponding author: himr@fme.vutbr.cz
   © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0
   (https://creativecommons.org/licenses/by/4.0/).
EPJ Web of Conferences 299, 01014 (2024)                                                          https://doi.org/10.1051/epjconf/202429901014
EFM 2022
       of cavitation operation and thus higher wear of the ball                   Table 1. Uncertainty, 95 % confidence level.
       valve [8]. Also, higher requirements for turning forces [9]
       must be expected. The paper is focused on measurement                               Quantity           Uncertainty
       of ball valve characteristics (flow coefficient, torque and
       vibration), which are important when the ball valve is used                         Flow rate          ± 15.8 m3 /h
       as a control element.
                                                                                        Flow velocity          ± 0.06 m/s
       2 Description of the measurements                                                 Pressure loss         ± 0.1 kPa
       The behaviour of the ball valve was tested on a closed test                    Absolute pressure         ± 1.9 kPa
       circuit, in which the flow was provided by the pump and,
       if necessary, controlled by the control valve. See the di-                      Relative pressure       ± 2.3 kPa
       agram of the circuit and the connection of the measuring
       equipment in Figure 2.
                                                                                         Acceleration            ± 1.9 g
           The temperature on the supply pipe was measured with
       a platinum thermometer (not on the diagram), absolute                               Position              ± 0.5 %
       pressure was measured at a distance of 4.8 times the di-
       ameter upstream of the ball valve and at a distance of five
                                                                                            Current             ± 0.02 A
       times downstream the ball valve. Pressures were measured
       in the collectors which were connected to the measured
                                                                                         Active power           ± 0.02 W
       place in the pipe by four hoses uniformly spread on the
       pipe perimeter. The flow coefficient Kv was calculated
       from these pressure gauges, see equation (1), where Q is
       flow, ρ density, pressures pa1 and pa2 correspond to Fig-
       ure 2.
                                            ρ                             3 Measurement procedure and results
                                     r
                       Kv = 10 · Q ·              ,            (1)
                                        pa1 − pa2                         First, the test of functionality was made. The ball valve
           The relative pressure was measured 300 mm upstream             was opened and closed at the zero flow, so that the re-
       and downstream the fitting, the pressure gauges were               quired power has been determined. The value of torque
       placed directly on the pipe wall at an angle of 30◦ from the       T [Nm] was determined by calculation according to the
       vertical axis. All pressure gauges were calibrated, hoses          equation (2).
                                                                                                           Pa
       and collectors were vented.                                                                 T=                                (2)
           At 300 mm upstream and downstream the valve, three-                                          2·π·n
       axis acceleration sensors (at the highest point of the diam-       The measurement record is shown in Figure 3. Always at
       eter) and strain sensors (deformation – strain gauge) in the       the beginning of the movement there is a clear steep in-
       circumferential direction (from the side) were also glued.         crease of the torque. It is due to overcoming the static fric-
       Deformation stress sensor – strain gauge is another way to         tion. But it drops down quickly to the operational value.
       monitor pressure changes inside the piping. It cannot be           Static friction is mainly caused by friction in sliding bear-
       used to determine the absolute value of the pressure, but          ings, friction of the shaft and ball sealing surfaces. The
       it allows monitoring changes in deformation and subse-             valve was fully open at the beginning and it was closed
       quently evaluating, for example, the frequency of pressure         and opened three times. The second and third cycle was
       pulsations. One three-axis acceleration sensor was also            not fully closed to learn whether there was a significant
       placed on the shutter drive gearbox. The degree of open-           change in static friction. It was not. The torque in Fig-
       ing was monitored using a potentiometer located on the             ure 3 shows only the absolute value calculated from elec-
       actuator. The movement speed of the valve actuator was             tric power, not the direction.
       then evaluated from the potentiometer record as n [rps].                During closing, the average value of the torque is
           Measurements of electrical quantities (current I [A],          8690 Nm, when opening it is only 8054 Nm. The depen-
       voltage U [V],power factor ϕ [-] and active power Pa [W])          dence of the flow coefficient on the opening is shown in
       were measured with a wattmeter and current coils. In-              Figure 4. It is obvious that the dependence is hyperbolic
       dividual measured phases (currents) were derived from              in the most of opening range. The measurement was made
       a three-phase coupling (380 V). Wattmeter connection:              in two directions (opening x closing) without significant
       three-wire (three-phase) symmetrically loaded network.             hysteresis. Due to the required operating value of Kv , the
       The measured quantities were connected to the measuring            valve will have to work between 55 % and 66 % of the
       system via current outputs of 0-20 mA.                             opening. Hysteresis appeared when measuring the depen-
                                                                          dence of power input (torque) on opening. Both quantities
           The static characteristics were evaluated from the aver-
                                                                          were evaluated according to equations (3) and (4)
       age values for individual openings under steady-state con-
       ditions for a period of 60 s. Uncertainties quantities are                                          Pa
       shown in Table 1.                                                                         kP =            ,                  (3)
                                                                                                         D3 · ∆p
                                                                      2
EPJ Web of Conferences 299, 01014 (2024)                                                                                               https://doi.org/10.1051/epjconf/202429901014
EFM 2022
                                                                             a3
                              Q                                              G               M                               E
                                                                 5D                        4.8D
                                        DN300                                                                                    DN300
                                                                      300
                                                                            BV         300
                                            pa2                                                                                  pa1
                                                                 a2 p                        a1 p
                                                                     r2                          r1
                                                                        S2                         S1
       Fig. 2. Measurement: G – gearbox, M – motor, BV – ball valve, Q – flowmeter, pa – pressure sensor (abs.), pr – pressure sensor (rel.),
       S – strain gauge, a – acceleration sensor, E – measurement of electric quantities (voltage U, current I, active power Pa, power factor ϕ).
                               35                                                                                       10
                                                                                                                             5
                               30
                                                                                                   Flow coef. [m3 /h]
               Torque [kNm]
                               25                                                                                            4
                                                                                                                        10
                                                                                                                                                       Up
                               20
                                                                                                                             3                              Down
                               15                                                                                       10
                               10
                                                                                                                             2
                                5                                                                                       10
                                                                                                                                                     Operation
                                0
                                                                                                                                                     band
                                                                                                                        10
                              100                                                                                            0    20      40    60      80       100
                                                                                                                                         Opening [%]
               Opening [%]
                               80
                               60                                                          Fig. 4. Flow coefficient.
                               40
                               20                                                                                        1
                                                                                                                   10
                                0
                                    0   2   4   6   8 10 12 14 16
                                                Time [min]                                                              0
                                                                                                                   10
                                                                                                   k P [1/s]
       Fig. 3. Torque (zero flow rate).
                                                                                                                        -1                    Up
                                                                                                                   10
                                                                                                                                            Down
                                                                                                                        -2
                                                        T                                                          10
                                            kT =             ,                   (4)                                         0    20      40    60      80       100
                                                   D3   · ∆p                                                                             Opening [%]
       where ∆p [Pa] is the pressure loss of the fitting at the given
                                                                                           Fig. 5. Power coefficient, solid line – with flow rate, dashed line
       flow rate. The result is shown in Figures 5 and 6, where the
                                                                                           – zero flow rate.
       solid line indicates the measurement at flow (see Figure 7)
       and the dashed line the measurement at zero flow. The
       hysteresis was minimal at zero flow. The pressure coeffi-
       cient is almost constant up to 40 % opening and significant                         and its determination, is very problematic due to the small
       increase is apparent from 70 % opening.                                             pressure drops that could be achieved in the test room.
           The torque required for the CS drive (conical valve) is
       given by the sum of the loss torque without pressure drop                           4 Frequency analysis
       and loss torque, where we assume linear dependence on
       pressure drop. When measuring in the test room, it was                              A frequency-amplitude characteristic was created from the
       mainly the first one that was measured – the constant part                          accelerometer recording (the sharp peak at 50 Hz, which
       of the loss moment, the part related to the pressure drop,                          corresponds to the frequency of the electric network, not
                                                                                       3
EPJ Web of Conferences 299, 01014 (2024)                                                                     https://doi.org/10.1051/epjconf/202429901014
EFM 2022
                                     3
                                    10                                                5 Conclusion
                                     2                                                The article describes the laboratory measurement of a ball
                                    10
                                                                                      valve, which serves as a regulatory element. From the
               k T [-]
                                     1                                                point of view of CC flow rate, it appears to be a limit
                                    10                      Up
                                                                                      value of approx. 50 % to 40 % of the valve opening.
                                     0                    Down                        Below 40 % of the opening, the flow area is so small that
                                    10
                                     -1
                                                                                      the CC is at the limit of usability. Below 45 % of the
                                    10                                                opening, the ball valve should not be used. If regulation
                                          0       20     40    60      80   100
                                                        Opening [%]
                                                                                      with a ball valve is not moved from the worst regulation
                                                                                      band to the more acceptable in terms of vibrations, then,
       Fig. 6. Torque coefficient, solid line – with flow rate, dashed line           from the point of view of estimating the remaining service
       – zero flow rate.                                                              life of the valve as a regulatory element, problems with
                                                                                      the overall function of this fitting can be expected in
                                    2500
                                                                                      the future (flow regulation, vibration on the drive, etc.).
                                                                                      The measured values, in particular the dependence of
                                    2000
               Flow rate [m 3 /h]
                                                                                      flow rate and Kv on opening, should serve as boundary
                                    1500                                              conditions in the future for specifying the replacement of
                                                             Up                       the existing ball valve with a new control element. The
                                                                  Down
                                    1000                                              current regulation with a ball valve is already outdated
                                     500                                              and at present such flow regulation is abandoned, and it
                                                                                      would be appropriate to start preparing the replacement of
                                          0                                           the existing ball valve with a new control element. The
                                              0    20     40    60     80   100
                                                         Opening [%]                  measured values of vibrations and deformation are very
                                                                                      important for possible measurements and analyses, where
       Fig. 7. Flow rate.                                                             it is necessary to regulate the flow, for example of a power
                                                                                      plant, where the possibility of installing pressure gauges
                                                                                      on pipelines is limited.
       plotted). On all sensors, the dominant vibration was in the
       vertical direction perpendicular to the pipe axis, therefore                   Acknowledgements. This paper was supported by Smart
       only the recording from this direction is further discussed.                   Energy Systems ERA-NET project 108786, Digitalization of wa-
                                                                                      ter supply infrastructure to optimize the Water-Energy Nexus
           First, the track without the ball valve, see Figure 8,
                                                                                      (DIWIEN).
       there is only a record from accelerometers a1 and a2 . The
       significant f requency o f 24.3 H z i s o n b oth s ensors. The
       a2 sensor picked up similar vibrations at a frequency of                       References
       around 340 Hz and smaller vibrations of 205 Hz, 247.7 Hz
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                                                                                  4
EPJ Web of Conferences 299, 01014 (2024)                                              https://doi.org/10.1051/epjconf/202429901014
EFM 2022
                                  4
               Acceleration [g]
                                  3
                                  2
                                          a1                                                a2
                                  1
                                  0
                                      0        50   100     150        200     250   300         350       400
                                                                  Frequency [Hz]
       Fig. 8. Amplitude-frequency characteristics without the ball valve.
                                  4
                                                                                            a2
               Acceleration [g]
                                  2       a3                                               a1
                                  0
                                      0        50   100     150        200     250   300         350       400
                                                                  Frequency [Hz]
       Fig. 9. Amplitude-frequency characteristics with the ball valve.