# 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
This situation is explained by the fact that the product of the two parameters \(\epsilon_{\lambda_{d}}\epsilon_{l_{d}}/\epsilon_{\lambda_{s}}\epsilon_{l_{s}}\) are found in the equation of the pumping head. The influence of the hydraulic losses coefficient variation \(\epsilon_{\lambda_{d}}/\epsilon_{\lambda_{s}}\) on the discharge/suction line up to the location of the pressure tap as opposed to the pump's discharge/suction flange over the pump efficiency variation \(\epsilon_{\eta_{P}}<1\%\) is insignificant for the five operating points across the entire range. The results of the sensitivity analysis performed on the parameters used by the algorithm for the determination of the pump efficiency, implemented in the software module presented in this paper are summarized below. The parameters used in the algorithm are listed in the order of their importance on the pump efficiency:  
* \(p_{d}\) [Pa]--static pressure at pump discharge;
* \(p_{s}\) [Pa]--static pressure at pump suction;
* \(D_{d}\) [m]--line diameter at discharge;
* \(D_{s}\) [m]--line diameter at suction;
* \(\Delta_{z}\) [m]--transducer's level from discharge compared to that from suction;
* \(l_{s/d}\) [m]--length of the suction/discharge line up until the location of the pressure manometers (transducers) compared to the pump flanges;
* \(\lambda_{s/d}\) [-]--longitudinal hydraulic losses coefficient along the suction/discharge line;  
Figure 14: The algorithm sensitivity analysis regarding the determination of the pump efficiency \(\epsilon_{\eta_{P}}\) or deviations in the length of the suction line \(\epsilon_{l_{s}}\) between the pressure transducer and the pump flange for the five operating points: OP8, OP9, OP10, OP12 and OP14. In conclusion, the determination of the input data that are characteristic to the pump, and the input of the read data, respectively, \(p_{s}\) and \(p_{d}\), must be performed as accurately as possible to have the lowest influence on the pump efficiency \(\eta_{P}\). It is recommended that the data acquired by the pressure transducers are taken directly into the software module to avoid any reading and data input errors. The line diameter at discharge \(D_{d}\) has a greater influence on the pump's efficiency than the line diameter at suction \(D_{s}\). This situation is because the centrifugal pumps tend to reach a higher pumping head, which is observed in a greater static pressure at discharge. Figure 10.0 Algorithm sensitivity analysis regarding the determination of the pump efficiency \(\varepsilon_{\eta_{P}}\) or deviations in the input of the longitudinal losses coefficient for the suction line \(\epsilon_{\lambda_{s}}\) for the five operating points: OP8, OP9, OP10, OP12 and OP14. Figure 10.1 Algorithm sensitivity analysis regarding the determination of the pump efficiency \(\varepsilon_{\eta_{P}}\) for deviations in the input of the longitudinal losses coefficient for the discharge line \(\epsilon_{\lambda_{d}}\) for the five operating points: OP8, OP9, OP10, OP12 and OP14.