Development of energy performance indicators for drinking water pumping systems BOUACH AHCENE(1), BENMAMAR SAADIA(2)* (1);BOUACH Ahcene (corresponding author), Université de Blida 1;E-mail : bouach.ahcene@gmail.com (2):BENMAMAR Saadia, Research Laboratory of Water Sciences, National Polytechnic School of Algiers, 10 Avenue Hassen Badi BP 182 El Harrach 16200 Alger Algérie. Abstract: The effective management of drinking water pumping stations is a very complicated task, where it requires in-depth knowledge and data of the system. To help the managers of these systems, a list of energy performance indicators has been developed to evaluate, compare and diagnose pumping stations. These indicators constitute a decision support tool for water services and allow a global and detailed evaluation of pumping stations in terms of sizing and operation, and in particular via the tree representation that facilitates the treatment of malfunctions and the detection of system anomalies. Key words: WATER SUPPLY, PUMPING STATIONS, PERFORMANCE INDICATORS. ENERGY, SYSTEMS MANAGEMENT. 1 Introduction Energy assessment is considered an essential step in any effective management of a pumping station. Indeed, an objective assessment would make it possible to detect the source of the malfunction, if any, as it would constitute a decision support tool for water service managers. To assess this energy consumption we can use performance indicators. The idea of using performance indicators in the hydraulic field in general is relatively old. Indeed, among the first researchers who are interested in this, we have (Brady et al. 1979) they proposed performance indicators to evaluate and compare wastewater collection systems. In 1987, Scartezzini et al. published an article in which they have showed the influence of inhabitants on solar water installations. The study was carried out using thermal performance indicators. In the report presented by (Radosevich, 1988) he has studied for three years some performance indicators such as capacity factor, system efficiency and availability to assess the operational capacity of a solar thermal station. The use of indicators has allowed the author to observe an improvement in the system performance. In the study presented by (Sharirli, 1989) he has used performance indicators to monitor the unavailability of an emergency feedwater system of a nuclear power plant. These indicators he also called them trend indicators. From the 90s, research work on performance indicators experienced a qualitative leap with interesting publications such as the article published by Bos in 1997 in which he summarized about 40 performance indicators used in the context of an irrigation performance research program. These indicators group together several aspects such as: water distribution, sustainability, efficient water use, maintenance, environment, and socio-economic aspect. In the same year, (Roerink et al. 1997) have developed two new performance indicators for irrigation systems: relative evapotranspiration and water efficiency. These performance indicators are based on the estimation of evapotranspiration by remote sensing. Also, in the paper published by (Ogden 1997), he has outlined the rights of consumers in terms of price and quality in the context of privatization. In this aspect the 1 Electronic copy available at: https://ssrn.com/abstract=4018531 office of water services in charge of water management has used the performance indicators to assess the service offered to customers. One year before, (Makadho, 1996), he has presented a methodology for calculating the performance indicator called the timeliness indicator to help agricultures manage water use well. In (Kingdom 1998) he has presented the experience gained from 2 benchmark performance studies in the US water industry. Throughout the paper the author illustrated 2 distinct but complementary components. The first includes a range of quantitative assessment and comparison. The second focuses on how to improve existing work processes and compare similar activities. In 1999, a series of publications have taken place bringing a rich improvement to this research axis, such as: In (Alegre 1999). The author has defined performance indicators as the measure of efficiency and effectiveness. It also defined the framework in which the indicators are used as well as their objective. In (Srinivasan et al. 1999) they have provided improved performance indicators addressing failures in water supply reservoirs. This improvement concerns in particular the formalism of resilience. The performance indicators used were incorporated into a mixed integer programming model. In (Sakthivadivel et al. 1999), they have defined a set of 4 performance indicators allowing the comparison of irrigation systems spatially and temporally. In (Lundin et al., 1999) they have studied the temporal variability of a set of performance indicators in order to assess the sustainability of urban water systems. These indicators are based on the environment, efficiency and performance of the system. These indicators have shown the sustainability of urban water systems. In (Hopkinson et al. 1999) they have studied a new set of environmental performance indicators developed by the water industry. The study has showed that the use of performance indicators facilitated the task of comparison and benchmark compared to conventional reports at that time. In 2002, Alegre et al. they presented an overview on IWA performance indicators for water supply services. (Gumbo, 2004), he has proposed a water demand management program. Then, he has studied the water supply systems in eight cities in South Africa using selected performance indicators. The author has showed through this study that the proposed program gave good results as he has underlined the need for performance indicators in the management of water systems. (Luc et al. 2006) they have proposed a set of performance indicators to assess irrigation pumping systems. They have also identified and criticized the methods applied for estimating the pumped volume while proposing a method that they consider effective to estimate it. In 2008, (Vieira et al. 2008) have considered that work in this direction was general and it was mainly oriented towards the economic and managerial aspect. As a result, they have proposed 80 performance indicators which take into account the technical aspect and are specialized in water treatment. As part of the "WATER-LOSS management" project, (Kanakoudis et al. 2011) have developed a set of new performance indicators in order to assess water supply in terms of quantity and quality. The proposed indicators are adapted to the specific conditions in the Mediterranean and to the lack of data. In the last decade, other research has been presented. In (Haider et al. 2014), they were particularly interested in small-scale supply systems by proposing an evaluation model based on grouped performance indicators.(Carriço et al. 2014) have proposed a methodology based on the hydraulic energy balance along a water pipe and four performance indicators to assess the energy efficiency of water supply systems. The calculation of the indicators is based on the hydraulic simulation of the system. The application of the indicators demonstrated the practicality of the proposed indicators. (Vilanova, & Balestieri 2015) have proposed three performance indicators allowing the complete assessment of water supply systems from operational and physical energy efficiency measures. These indicators are: hydraulic energy recovery indicator; optimized pumping operation indicator; and supplied hydraulic head indicator. In (Teixeira et al. 2016) they have developed a matrix of performance indicators allowing the assessment and control of energy consumed, energy price and CO2 emissions, contributing to the development of water systems. The indicators developed are based on integral management systems: ISO 50001 for integral energy management, 1S0 9001 for quality, 1SSO 14001 for systems. The indicators have been classified into 4 groups: environmental, 2 Electronic copy available at: https://ssrn.com/abstract=4018531 technical, social and technical. The application of the indicators improved water management by 34.3%. In (Mamade, et al. 2017), they have presented a new energy balance system and performance indicators to assess the energy efficiency of drinking water supply systems. The novelty lies in the integrated calculation between the energy and water balance making it possible to quantify the energy inefficiency linked to water losses. The program has been implemented in Portugal and the results have shown significant energy saving potential to be addressed. In (Renouf et al. 2017), the authors have proposed quantitative indicators within the framework of what they called the metabolic characteristics of urban drinking water management. In this study, the authors examined the generation of certain indicators via the urban water mass balance method. These indicators are: Indicators of water efficiency, supply internalisation, and hydrological performance. In (Umapathi et al. 2019), the authors have used performance indicators to investigate a rainwater harvesting system for unconventional end use. (Shahzad et al. 2019) they have selected a short list of performance indicators to quickly assess the quality and quantity of water put into supply systems. For quality, they have used turbidity, PH, and E-coli. For the quantity they have used the flow provided in the different sectors of the network. In 2019, (Bouach & Benmamar 2019) as part of their study of energy optimization of pumping systems supplying drinking water supply networks. The authors have developed a set of performance indicators to compare, evaluate and diagnose the system under study. Recently, (Parakath & Neelakantan 2021) studied three performance indicators related to risk in supply networks, these indicators are: resilience index, network resilience index and total surplus head index. In the study (Kandi et al. 2021), the authors have made improvements on existing performance indicators evaluating the design and operation of pumps as a turbine (PAT). In this study, we have proposed a list of energy performance indicators that allow us to assess the energy consumption in a global and detailed way of a pumping station. It also enables comparison. And make the diagnosis by determining the source of the malfunction. This task is quite delicate because it requires perfect knowledge of the various formulas used in the sizing of supply and distribution networks and in-depth knowledge of the hydraulic operation of pumps. Indeed, the problems of overconsumption of energy in pumping stations can be due to: poor sizing of structures and equipment in the study phase, or poor management of pumps in the operation phase. For this, we have developed three types of indicators allowing the energy assessment of the pumping system: - Overall energy performance indicators; - Design energy performance indicators; - Operational energy performance indicators; The indicators developed can delimit the source of the malfunction using a tree representation of the indicators. This will help managers choose which method to use to deal with the overconsumption problem. 2 Method and tools The energy performance is assessed against a reference value, this is the optimal value. For this, we have defined an optimal value for each variable as shown in Table 1. Table 1: reference values of the performance indicators Variable optimal value Optimal pumping volume Vopt = Vd - Vi + Vmin 3 Electronic copy available at: https://ssrn.com/abstract=4018531 Optimal pressure Hopt = Hg.opt + rh.opt.Qopt² Optimal operating pressure Hf.opt = Hg + rh.Qopt² Optimal static head Hg.opt = Hpd + ΔHd.opt + Hw.t – Cst Optimal hydraulic resistance rh.opt = (λopt.Lopt) /(16,2.105,π².g.Dopt5) Optimal diameter Dopt = 0,03.(Qha/π.vmin)0,5 Optimal length Lopt = DS optimal friction loss factor λopt=2.Log10(4.10-5/3,7.Dopt + 2,51/[(vmin.Dopt/γ).λopt0,5] optimal minor loss factor 1 optimal energy Eopt = (ρ.g.Hopt.Vopt)/(36000.ηopt) Optimal operating energy Ef.opt = (ρ.g.Hf.opt.Vopt)/(36000.ηopt) With, Vd: water demand volume ; Vi : Initial volume of water in the tank; Vmin :Minimum admissible volume; Hg.opt : optimal static head; rh.opt. : Optimal hydraulic resistance; Hg : static head; Qopt : Optimal pumping rate; rh : hydraulic resistance ; Hpd : Head of the unfavorable point of the distribution network; ΔHd.opt : Optimal distribution head losses; Hw.t : water tower head; Cst : suction tank coast; Qha: Average hourly consumption; DS: Direct distribution distance; γ : water kinematic viscosity; ρ : water density; g: Acceleration of gravity; ηopt : Optimal pumping efficiency. 2.1 List of performance indicators The performance indicators developed allow: - Overall and detailed design assessment - Overall and detailed operational assessment; - Overall assessment of the pumping system. 2.1.1 Pumping system energy design indicators 2.1.1.1 Detailed design assessment The energy consumed by a pumping system depends mainly on the design parameters which are decisive in the energy consumption. These parameters are: - Geometric height of the pumping system (static head); - Parameters of pressure losses (Diameter, length, viscosity force, and singularities). The various design parameters must have optimal values in order to reduce the energy required for pumping water. To assess a possible energy malfunction due to an incorrectly dimensioned parameter, we have developed indicators comparing the system design parameters with optimal values, in order to assess their impact on energy consumption. Table (2) summarizes the list of indicators for the design part. Table 2: Design energy performance indicators 4 Electronic copy available at: https://ssrn.com/abstract=4018531 Performance indicator formula static head indicator GHI Pipe length indicator SLI Signification H . H L L L L DLI Pipe diameter indicator SFI D D λ λ DFI λ λ DDI MLI Minor loss indicator. Hydraulic indicator resistance HRI GHR Static head rate Pressure loss rate Evaluation of the length of the discharge pipe. D D SDI Friction indicator Evaluation of the static head of the pumping system. Evaluation of the length of the suction pipe PLR αs :Minor loss coefficient; r Evaluation of the diameter of the suction pipe. Evaluation of the diameter of the discharge pipe. Assess load losses due to friction between particles and the walls of the suction pipe (rugosity). Assess load losses due to the viscosity friction of the particles between them and the walls of the discharge line (rugosity). Evaluate the effect of the minor losses 1 α . r Evaluation of the hydraulic resistance of the supply pipe. H H. Share of the energy consumed by the static head of the pumping system. r ·Q H. Share of the energy consumed by the loss of loads from the pumping system. 2.1.1.2 Overall design assessment The overall design indicator gives a general view of the energy performance of the system without taking into account operating variables. In fact, it makes it possible to evaluate from an energy point of view the sizing of the various design parameters (table 3). Table 3: Overall design indicators Performance Indicator formula Signification overall design indicator Design energy loss OCI ∆E! E. E E. "E Evaluation of the design variables of the pumping system. Assessment of energy losses caused by poor sizing of design parameters. ∆E# Design energy loss rate The rate of energy lost due to poor sizing CEL · 100 E. relative to optimal operating energy The analysis of the formula of the energy consumed, allowed us to note that the variable influenced by the design parameters is the pumping pressure through the static head and the pressure drop parameters (diameter, length, roughness, and singularities). For this, we have defined the overall 5 Electronic copy available at: https://ssrn.com/abstract=4018531 design indicator as the ratio between the optimal energy and the optimal operating energy (table 3). By replacing the optimal energy and the optimal operating energy with their expression, we have: ρgH V 36000η H OCI *1+ ρgH . V H. 36000η The relationship (1) shows that the overall design indicator is also the ratio between the optimal pressure and the optimal operating pressure. By replacing the optimal pressure with its expression, we have: H . ,r . Q *2+ OCI H. After manipulating the equation (2), the equation becomes; H . H r . r ·Q *3+ OCI · , · H H. r H. This gives the overall design indicator based on the different design indicators. OCI GHI · GHR , HRI · PLR *4+ This formula is very important because it will serve us in establishing the tree representation of indicators later. 2.1.2 1Energy-operating assessment of the pumping system 2.1.2.1 Detailed operating assessment This group of indicators relates to the assessment of energy consumption, limited to the operating parameters of the pumps which are the volume of water pumped, the pressure and the pumping efficiency. The table (4) lists the indicators of how the pumping system works. Table 4: operating energy performance indicators (Bouach & Benmamr 2019) Performance indicator Formula Signification V Volume pumping idicator Evaluate pumping volume VI V H. Pumping pressure idicator. Evaluate pumping head (pressure) HI H η Pumping efficiency idicator Evaluate the pumping efficiency RI η 1.2.2. Overall assessment of the energy operating system The overall operational assessment is carried out using the indicators presented in table 5. The overall operating indicator makes it possible to assess the energy consumed by the set of pumps over the optimization horizon, taking into account the operating variables (volume, pressure and pumping efficiency). It is the ratio between the optimum operating energy and the energy consumed by the pumping system. Table 5: Overall operating indicators Performance indicators Formula Signification E. Overall operating indicator Evaluation of the operating variables of the OFI E pumping system. Operating energy loss ∆E E"E. Evaluation of energy losses caused by operating parameters. ∆E Rate of operating energy Rate of energy loss from operation in FEL · 100 E losses relation to energy consumed. In order to assess the influence of the different operating variables on energy consumption, we have developed equation (5), replacing the different terms with their expressions. 6 Electronic copy available at: https://ssrn.com/abstract=4018531 H. .V η V H. η *5+ · · VI · HI · RI H. V V H η η This gives the overall operating indicator according to the various operating indicators of the pumping system (very useful in calculating the tree representation). OFI 2.1.2.2 Overall energy assessment The overall energy assessment of the pumping system gives a general idea of the energy consumption of the system. It can determine overconsumption and compare between several pumping scenarios. The table (6) summarizes all indicators of overall energy performance. Table 6: Overall Energy Performance Indicators Indicator type Formule Objectif E Overall energy indicator Overall energy assessment of the pumping OEI E system Overall energy losses Overall energy loss rate ∆E E"E EL ∆E · 100 E Overall assessment of design and operating energy losses Share of overall energy losses in relation to the energy consumed by the pumping system. The overall energy indicator allows for a general energy assessment of the pumping system, taking into account both design and operating variables. It is defined as the ratio between optimal energy and the energy consumed by the pumping system (Table 6). By developing its formula, we have the overall energy indicator as a function of the overall design indicator and the overall operating indicator: E E E. OEI · OCI · OFI *6+ E E. E Replacing the overall design indicator and the overall operating indicator with their expressions, we have: *7+ OEI OCI · OFI *GHI · GHR , HRI · PLR+ · *VI · HI · RI+ 2.2 Tree representation of energy performance indicators The tree representation of the EPIs allows a better understanding of the results. It also facilitates the process of energy diagnosis of the problem by detecting the source of the energy dysfunction. This representation is carried out by an algorithm for determining the source of the energy dysfunction (Figure 1). 7 Electronic copy available at: https://ssrn.com/abstract=4018531 Figure 1: Diagnostic algorithm via tree representation. Knowing that all the indicators have a unit weighting with the exception of the hydraulic h resistance indicator HRI and the static head indicator GHI which are weighted ted by the pressure loss rate PLR and the static head rate GHR successively. Figure (2) (2 shows thee tree representation of the EPI’s. EPI 8 Electronic copy available at: https://ssrn.com/abstract=4018531 Figure 2: Tree ree representation of energy performance indicators 3 Presentation of the study area To validate the indicators developed, we applied it to the Rassauta pumping station. This pumping station is composed of three horizontal volute centrifugal pumps in process construction, KSB brand and ETANORM RG 250-400 400 type, each pump is driven by a SIEMENS brand electric motor, the pumps suck water from two suction tanks (2x5000 m3). Whose water volume is managed by altimetric valves. The pumping unit is installed 3 meters below the suction plane, which allows the pumps to operate under load thus reducing the problems associated with priming and pump cavitation (Figure 3). Figure 3: Rassauta pumping station The suction is done via a pipe with a diameter of 900 mm and a length of 105 m. The water is pumped to the water tower whose floor elevation is 57 m. The diameter of the discharge pipe is 700 mm. This pipe is equipped with an anti-ram anti just after the discharge rge collector, and a flowmeter connected to a transmission system allowing the data of the pumping flow in real time. For pressure reading, the system is equipped with a pressure gauge at the outlet of each pump, the water tower is also equipped with an overflow erflow and drain line with a diameter of 1000 mm, and a distribution line with a diameter of 700 mm (Figure 3). The pumps operate in the mode commonly called (2 + 1), i.e. two pumps operate in cascade and one standby pump. The two running pumps are managed managed by an automatic control system based on the water level in the water tower. Indeed, when the water level reaches the maximum threshold of 7.3m, one pump stops, and if the water level drops below the minimum level of 5.4m one pump starts. According to thiss principle of regulation it is possible that both pumps are stopped when only one pump is running and the water level exceeds the max level. The automatic management system consists of alternating the pumps at each start to ensure an equal working time for fo the three pumps. The distribution network of Rassauta has a total pipeline line of 82 831 m divided divided into 8 distribution sectors. The unfavorable point of the distribution network is at the level of the SS4 distribution sector of the locality "Bateau Cassé", sé", whose coast of the natural terrain is 10 m. The diameter of the main pipe is 150 mm, which causes very high pressure drop during periods of high consumption during the day. The water tower of El Hamiz has a volume of 500 m3 characterized by a floor elevation el of 38 m and an overflow elevation of 42 m. This water tower serves the southern part of the city of El Hamiz whose distribution network includes about 18,408 m of pipes divided into three distribution sectors: Orange trees, Hamiz 2, and Haouch Batata. 9 Electronic copy available at: https://ssrn.com/abstract=4018531 The hydraulic calculation of the pressure losses showed that the unfavorable point for the supply system is the el Hamiz miz water tower. tower The distribution network is characterized by an average daily consumption of about 24878 m3/d. The analysis of the modulation curve (Figure 4) 4) showed that daily consumption passes practically through three ranges. The first range begins from 9 to 15 h with a coefficient of hourly point of about 1.2, this period corresponds to the high consumption of water because of the the different daily activities of the users: showers, dishes ... etc. The second range begins from 16 to 22 H characterized by a point coefficient equal to 1.1, corresponds to the activities relating to dinner and showers, and the third range it concerns thee night consumption of 23 to 8 hours whose point coefficient is of the order of 0.7 corresponds practically to leaks in the network. Figure 4: 4 Modulation curve of the water demand 4 Analysis and interpretation of results The energy diagnosis is done in steps: steps - In the first step,, a general assessment of energy consumption is guaranteed by the overall energy indicator OEI. - In the second step, the OCI overall design indicator and the OFII overall operating indicator gives a general energy assessment of the design and operating parameters. - In the third step, for the design part, the static head and the hydraulic resistance indicators indicator make it possible to evaluate the height of the water tower and the other design parameters separately (diameter, length, ... etc). While for the operation part, the volume VI, pressure HI and RI pumping efficiency indicators estimate the energy performance of each of these operating parameters. - In the fourth and final step, to deepen the analysis of energy consumption. The T indicators of pipe diameter SDI and DDI (suction and discharge), pipe length SLI S and DLI (suction and discharge), frictions SFI and DFI (suction and discharge) and minor losses MLI allow to present an evaluation of each parameter of the hydraulic resistance resist of the pumping system. 4.1 Overall energy assessment The overall indicators (table 7)) showed the ineffectiveness of the pumping schedule with OEI=0.41 OEI very far from 1. And 58.94% energy losses. This is a huge loss for the proper functioning of the system. 4.2 Energy evaluation of design parameters The design energy performance indicators show that the sizing of the pumping system is good, as shown by the overallll design indicator of 0.77 (OCI (OC = 0.77) causing ing an energy loss of 4,124.58 KWh which represents 23.45% of the optimal energy (CEL ( = 23.45%). 10 Electronic copy available at: https://ssrn.com/abstract=4018531 The Static head rate (GHR = 96.90%) shows that the static head represents the most determining design parameter of energy consumption. This static head is evaluated using the static head indicator (GHI) which equals 0.79 which means that the dimensioning of the height of the tank is correct. The design parameters relating to pressure losses are evaluated via the hydraulic resistance indicator (HRI = 0.01), which shows that in general the parameters relating to pressure losses have been very incorrectly sized. However, this very low indicator has lost its influence on the overall design indicator (OCI) due to the fact that the pressure loss rate is very low (PLR = 3.10%), because the PLR is the weighting coefficient of the HRI for the calculation of the overall design indicator (OCI). The poor performance of the hydraulic resistance parameters is explained by: the high minor losses (MLI= 0.12), the long discharge length (DLI= 0.33), and the small discharge diameter (DDI = 0.29) . The length of the suction line is also important with an SLI = 0.52. The only exception is the diameter of the suction line which has an excellent indicator (SDI = 1.03). 4.3 Energy evaluation of operating variables Energy consumption depends on three operating variables (volume, pressure and pumping efficiency) which are both interdependent and sometimes contradictory. Optimal operation from an energy point of view requires that the three variables have optimal values, only it is practically rare to realize such an ideal situation, because often when one wants to operate the pumps at an optimal efficiency for example this influences negatively the other two variables. The solution to this paradox is to find a compromise between the three operating variables. As shown by the overall operating indicator (Table 7). Although the type of pumping used by water utilities uses a flow regulation method, their energy performance is poor with an overall operating indicator (OFI) equal to 0.54. This low operating indicator is influenced by the poor performance of the pumping volume variable whose indicator (VI) is equal to 0.66, which explains why the schedule creates a significant energy loss because of this excess water that far exceeds the demand. This malfunction could be explained by either: - The level probes in the water tower are poorly adjusted or defective, - Presence of an internal leak in the water tower. - Voluntary management to have a maximum water level to increase distribution pressure. The high pumping volume and the variation of the static head created by the variation of the water level in the suction tank modify the characteristic curve of the pipe, which displaces the operating point of the pumping system, thus creating Additional energy losses as confirmed by the pump pressure indicator HI = 0.88. Table 7: Energy performance indicators assessment Overall Overall design Static head Design hydraulic resistance Indicator OEI EL [%] ΔE [KWh] OCI ΔEC [kwh] CEL [%] GHI GHR [%] HRI PLR [%] SLI DLI SDI Value 0,41 58,94 19 330,98 0.77 4124.58 23.45 0.79 96.90 0,01 3,1 0,52 0,33 1,03 11 Electronic copy available at: https://ssrn.com/abstract=4018531 Operating DDI SFI DFI MLI 0,29 0,98 0,97 0,12 OFI 0,54 OEL [KWh] ROL [%] VI HI RI 15 206,40 46,36 0,66 0,88 0,93 4.4 Tree representation The tree representation allows a quick and accurate energy diagnosis of the operation of the station: Indeed, Figure 5 shows a very significant signifi energy overconsumption (OEI = 0.41 very low) caused mainly by the poor pumping schedule, and precisely the pumping volume which far exceeds the demand (VI = 0.66). For the design parameters, the energy dysfunction creates by the high singularity, the low discharge discharg diameter, and the large length were attenuated by the low associated weighting (PLR ( = 0.03). The final finding regarding the diagnosis via the EPI’s clearly indicates a problem of adjustment of the volume of water. What requires repair of the flow control system (level probes), and the resizing of certain equipment, which are: the pumps, diameter of the suction line, the diameter of the discharge pipe and the singularities (valves valves, elbows, flow meters, ... etc). Figure 5: Tree representation of the IPEs of the pumping schedule 5 Conclusion Energy performance indicators are an effective tool in the energy evaluation of the pumping system; they greatly facilitate this task, and allow system managers to understand the energy situation which allows them to make adequate decisions to optimize energy consumption. In this work, we have developed a list of energy performance indicators, which not only has a global energy assessment, but it offers a detailed assessment to conduct an an energy diagnosis of each system parameter, and make credible comparisons between the different pumping scenarios possible. The tree representation of the energy performance indicators is a simple and precise method allowing a quick energy diagnosis of the the pumping system. The method relies on a panel of EPIs to 12 Electronic copy available at: https://ssrn.com/abstract=4018531 evaluate performance, and on the calculation of the malfunction path to detect the source of energy overconsumption. The use of EPI’s energy performance indicators has greatly facilitated the system's energy assessment and comparison task. They showed the poor performance of the pumping schedule studied with OEI = 0.41 and EL = 58.94%. IPEs also made it possible to make an effective diagnosis of the pumping system, detecting poorly dimensioned parameters in the design or operation phase. Indeed, the IPE’s have shown that the parameters of the hydraulic resistance have been very poorly dimensioned (HRI = 0.01), this is due to high singularities MLI = 0.12, and at the low discharge diameter DDI = 0.29 and at the discharge length DLI = 0.33. 6 Bibliography Alegre, H. (1999). Performance indicators for water supply systems. In Drought management planning in water supply systems (pp. 148-178). Springer, Dordrecht. Alegre, H., Hirner, W., Baptista, J. M., & Parena, R. (2002). Highlights of the IWA system of performance indicators for water supply services. In Beitrag zum Workshop „Views and Experience Gained Through Implementing IWA Performance Indicators Project “, im Rahmen des 3rd World Water Congress in Melbourne (Vol. 7, No. 12.04, p. 2002). Bouach, A., & Benmamar,S. (2019). Energetic optimization and evaluation of a drinking water pumping system: application at the Rassauta station. Water Supply, 19(2), 472-481. Bos, M. G. (1997). Performance indicators for irrigation and drainage. Irrigation and Drainage systems, 11(2), 119-137. Brady, J., Goodman, S., Kerri, K., & Reed, R. (1979). Performance indicators for wastewater collection systems.Journal (Water Pollution Control Federation), 695-708. Carriço, N., Covas, D., Alegre, H., & do Céu Almeida, M. (2014). How to assess the effectiveness of energy management processes in water supply systems. Journal of Water Supply: Research and Technology—AQUA, 63(5), 342-349. Haider, H., Sadiq, R., & Tesfamariam, S. (2014). Performance indicators for small-and medium-sized water supply systems: a review. Environmental reviews, 22(1), 1-40. Hopkinson, P., Sammut, A., & Whitaker, M. (1999). The standardisation of environmental performance indicators and their relationship to corporate environmental reporting: What can we learn from the UK water industry?. Journal of Environmental Assessment Policy and Management, 1(03), 277-296. Gumbo, B. (2004). The status of water demand management in selected cities of southern Africa. Physics and Chemistry of the Earth, Parts A/B/C, 29(15-18), 1225-1231. Kanakoudis, V., Tsitsifli, S., Samaras, P., Zouboulis, A., & Demetriou, G. (2011). Developing appropriate performance indicators for urban water distribution systems evaluation at Mediterranean countries. Water Utility Journal, 1, 31-40. Kandi, A., Moghimi, M., Tahani, M., & Derakhshan, S. (2021). Optimization of pump selection for running as turbine and performance analysis within the regulation schemes. Energy,217, 119402. Kingdom, B. (1998). Use of performance indicators and performance benchmarking in the North American water industry—findings from studies recently completed for AWWA and WEF research foundations. Journal of Water Supply: Research and Technology—AQUA, 47(6), 269-274. Lu, S., Li, Q., Bai, L., & Wang, R. (2019). Performance predictions of ground source heat pump system based on random forest and back propagation neural network models.Energy Conversion and Management, 197, 111864. Luc, J. P., Tarhouni, J., Calvez, R., Messaoud, L., & Sablayrolles, C. (2006). Performance indicators of irrigation pumping stations: application to drill holes of minor irrigated areas in the Kairouan plains (Tunisia) and impact of malfunction on the price of water. Irrigation and Drainage: The journal of the International Commission on Irrigation and Drainage, 55(1), 85-98. 13 Electronic copy available at: https://ssrn.com/abstract=4018531 Lundin, M., Molander, S., & Morrison, G. M. (1999). A set of indicators for the assessment of temporal variations in the sustainability of sanitary systems. Water Science and Technology, 39(5), 235-242. Makadho, J. (1996). Irrigation timeliness indicators and application in smallholder irrigation systems in Zimbabwe.Irrigation and Drainage Systems, 10(4), 367-376. Mamade, A., Loureiro, D., Alegre, H., & Covas, D. (2017). A comprehensive and well tested energy balance for water supply systems. Urban Water Journal, 14(8), 853-861. Parakath, A. A., & Neelakantan, T. R. (2021). Analysis of Resilience Performance of Water Distribution Network. In Smart Technologies for Sustainable Development (pp. 261-267). Springer, Singapore. Ogden, S. G. (1997). Accounting for organizational performance: the construction of the customer in the privatized water industry.Accounting, Organizations and Society, 22(6), 529-556. Roerink, G. J., Bastiaanssen, W. G., Chambouleyron, J., & Menenti, M. (1997). Relating crop water consumption to irrigation water supply by remote sensing. Water Resources Management,11(6), 445-465. Radosevich, L. G. (1988). Final report on the power production phase of the 10 MW/sub e/Solar Thermal Central Receiver Pilot Plant (No. SAND-87-8022). Sandia National Labs., Livermore, CA (USA). Renouf, M. A., Serrao-Neumann, S., Kenway, S. J., Morgan, E. A., & Choy, D. L. (2017). Urban water metabolism indicators derived from a water mass balance–bridging the gap between visions and performance assessment of urban water resource management. Water research, 122, 669-677. Rodríguez Díaz, J. A., Camacho Poyato, E., & Blanco Pérez, M. (2011). Evaluation of water and energy use in pressurized irrigation networks in Southern Spain. Journal of irrigation and drainage engineering, 137(10), 644-650. Shahzad, G., Rehan, R., & Fahim, M. (2019). Rapid performance evaluation of water supply services for strategic planning. Civil Engineering Journal, 5(5), 1197-1204. Sakthivadivel, R., De Fraiture, C., Molden, D. J., Perry, C., & Kloezen, W. (1999). Indicators of land and water productivity in irrigated agriculture. International Journal of Water Resources Development, 15(1-2), 161-179. SCARTEZZINI, J.-L., FAIST, A., et GAY, J. B. Experimental comparison of a sunspace and a water hybrid solar device using the LESO test facility. Solar energy, 1987, vol. 38, no 5, p. 355-366. Sharirli, M. (1989). System Unavailability Monitoring Study. InRisk Assessment in Setting National Priorities (pp. 379-385). Springer, Boston, MA. Srinivasan, K., Neelakantan, T. R., Narayan, P. S., & Nagarajukumar, C. (1999). Mixed-integer programming model for reservoir performance optimization. Journal of water resources planning and management, 125(5), 298-301. Teixeira, M. R., Mendes, P., Murta, E., & Nunes, L. M. (2016). Performance indicators matrix as a methodology for energy management in municipal water services. Journal of Cleaner Production, 125, 108-120. Umapathi, S., Pezzaniti, D., Beecham, S., Whaley, D., & Sharma, A. (2019). Sizing of domestic rainwater harvesting systems using economic performance indicators to support water supply systems. Water, 11(4), 783. Vieira, P., Alegre, H., Rosa, M. J., & Lucas, H. (2008). Drinking water treatment plant assessment through performance indicators. Water Science and Technology: Water Supply, 8(3), 245-253. Vilanova, M. R. N., & Balestieri, J. A. P. (2015). Modeling of hydraulic and energy efficiency indicators for water supply systems. Renewable and Sustainable Energy Reviews, 48, 540-557. 14 Electronic copy available at: https://ssrn.com/abstract=4018531