# Software for Monitoring the In-Service Efficiency of Hydraulic Pumps
## 4 The Laboratory Validation of the Software Module for the Pump's Full Operating Range
### Sensitivity Analysis of the Algorithm for Various Operating Points
The pump efficiency value determined with the aid of the algorithm is within the limit of \(\varepsilon_{\eta_{p}}<\pm 1.5\%\) when the deviation of the level \(\varepsilon_{\Delta z}\) between the taps of the two instruments measuring the suction/discharge pressure deviate by \(\varepsilon_{\Delta z}<\pm 50\%\) compared to the reference value. The situations in which the operating points are laid out within the red area are an exception; the value of the pump efficiency determined with the algorithm is greater than \(\varepsilon_{\eta_{p}}>\pm 1.5\%\). The variation of the pump efficiency is more sensitive to the deviation of the inner diameters  
Figure 11: The algorithm sensitivity analysis for the determination of the pump efficiency \(\varepsilon_{\eta_{p}}\) for deviations in the input of the suction line diameter \(\varepsilon_{D_{s}}\) for the five operating points: OP8, OP9, OP10, OP12 and OP14. of the suction/discharge lines \(\epsilon_{D_{s}}/\epsilon_{D_{d}}\) than to the level deviation \(\epsilon_{\Delta z}\) between the taps of the two instruments measuring the suction/discharge pressure. Figure 13 shows the algorithm sensitivity analysis regarding the determination of the pump efficiency for the variation of the layout position of the pressure tap length \(\epsilon_{l_{d}}\) on the discharge line, compared to the pump's discharge flange for the five operating points across the full range. One would remark the fact that the variation of the layout position of the pressure tap length \(\epsilon_{l_{d}}\) on the discharge line compared to the pump discharge flange has an insignificant influence on the pump efficiency variation \(\epsilon_{lp}<1\%\) for all the operating points investigated. Figure 14 shows the algorithm sensitivity analysis regarding the determination of the pump efficiency for the layout position of the pressure tap length \(\epsilon_{l_{d}}\) on the suction line  
Figure 12: Algorithm sensitivity analysis regarding the determination of the pump efficiency \(\epsilon_{\eta_{p}}\) for deviations in the input of the level difference \(\epsilon_{\Delta z}\) between the locations of the transducers at suction and at discharge for the five operating points: OP8, OP9, OP10, OP12 and OP14. Figure 13: The algorithm sensitivity analysis regarding the determination of the pump efficiency \(\epsilon_{\eta_{p}}\) for deviation in the length of the discharge line \(\epsilon_{l_{d}}\) between the pressure transducer and the pump flange for the five operating points: OP8, OP9, OP10, OP12 and OP14. compared to the pump's suction flange for the five operating points across the entire range. Note the same behavior of the algorithm regarding the variation of the pump efficiency \(\epsilon_{\eta_{P}}<1\%\) corresponding to the variation of the length \(\epsilon_{l_{s}}\) for all the operating points assessed and for that of the length variation \(\epsilon_{l_{d}}\). We can conclude that the influence of the layout positions of the pressure tap lengths \(\epsilon_{l_{s}}\) and \(\epsilon_{l_{d}}\) on the suction and discharge lines compared to the pump's suction and discharge flanges over the pump efficiency variation \(\epsilon_{\eta_{P}}<1\%\) is insignificant for the two operating points while functioning on a wider range. Figures 15 and 16 show the algorithm sensitivity analysis regarding the determination of the pump efficiency for the variation of the hydraulic losses coefficient \(\epsilon_{\lambda_{d}}/\epsilon_{\lambda_{s}}\) on the discharge/suction line, up to the layout position of the pressure tap, towards the pump's discharge/suction flange, for the five operating points across the entire operating range. The sensitivity of the algorithm regarding the determination of the pump efficiency for the variation of the hydraulic losses coefficient \(\epsilon_{\lambda_{d}}/\epsilon_{\lambda_{s}}\) is identical to that produced by the length variation \(\epsilon_{l_{d}}/\epsilon_{l_{s}}\).