Water Resources Management

, Volume 32, Issue 5, pp 1651–1673 | Cite as

Pressure Management in Water Distribution Systems Using a Self-Tuning Controller to Distribute the Available Potable Water with Equality

  • Rafael Bernardo Carmona-Paredes
  • Rafael Bernardo Carmona-Benítez


The rapid population growth of cities in developing countries (DC) make difficult to distribute the available potable water (PW) with equality. The distribution problem arises from an insufficient amount of PW and because cities water distribution systems (WDS) are not efficient. The novelty of this paper is a self-tuning controller (STC) proposed to manage, along the day, the pressure of water through the nodes of a WDS. It means, pressure management (PM) is proposed to control water levels (WLs) in householders tanks (HTs). The objective is to satisfy with equality the PW demand at different zones of a city forcing the flow of water by managing the pressure. The proposed STC performance is tested on the digital simulator developed to characterize the hydraulic operation of a WDS. The dynamic behaviour of the WDS is determined by the variation of the WL in the tanks of the WDS when water is supplied or extracted from them. The WDS of Mexico City is analysed and the proposed STC is applied to a simplified WDS. The results allow to conclude that the proposed STC could become a supporting tool for the decision making of WDS operators.


Self-tuning controller Pressure management Water distribution systems Linear parametric model Hydraulic models Newton-Raphson method 


  1. Abravani M, Saghi H (2017) Introducing a novel flexible conjunction system to pressure control in water distribution networks. Water Resour Manag 31:4323–4338. CrossRefGoogle Scholar
  2. Carmona-Paredes RB (1983) Simulación, Identificación y Control de una Red de Distribución de Agua Potable. Dissertation, Universidad Nacional Autónoma de MéxicoGoogle Scholar
  3. Cembrano G, Wells G, Quevedo J, Perez R, Argelaguet R (2000) Optimal control of a waterdistributionnetwork in a supervisory control system. Control Eng Pract 8:1177–1188. CrossRefGoogle Scholar
  4. Elbelkacemi M, Lachhab A, Limouri M, Dahhou B, Essaid A (2001) Adaptive control of a water supply system. Control Eng Pract 9(3):343–348. CrossRefGoogle Scholar
  5. Franklin GF, Powell JD (1981) Digital Control of Dynamics Systems. Addison-Wesley Publishing Company, 2nd Edition, MassachusettsGoogle Scholar
  6. Isaacs LT, Mills KG (1980) Linear theory methods for pipe networks analysis. J Hydraul Div 106(7):1191–1201Google Scholar
  7. Koivo HN (1980) A multivariable self-tuning controller. Automatica 16(4):351–366. CrossRefGoogle Scholar
  8. Kumar MP, Kumar MS (2009) Comparative study of three types of controllers for water distribution networks. Am Water Works Assoc J 101(1):74–86Google Scholar
  9. Kumar MP, Kumar MS, Boranyak S (2009) Tuning of PID controllers for water networks-different approaches. Am Water Works Assoc J 101(7):95–107Google Scholar
  10. Leirens S, Zamora C, Negenborn RR, De Schutter B (2010) Coordination in urban water supply networks using distributed model predictive control. Proceedings of the 2010 American Control Conference. Baltimore pp 3957–3962Google Scholar
  11. Negenborn RR, Van Overloop PJ, Keviczky T, De Schutter B (2009) Distributed model predictive control of irrigation canals. Netw Heterog Media 4(2):359–380CrossRefGoogle Scholar
  12. Pascual J, Romera J, Puig V, Cembrano G, Creus R, Minoves M (2013) Operational predictive optimal control of Barcelona water transport network. Control Eng Pract 21:1020–1034CrossRefGoogle Scholar
  13. Sotelo G (1997) Hidraúlica General. Limusa S.A. de C.V., Vol. 1, Mexico D. FGoogle Scholar
  14. Stoer I, Bulirsch R (1980) Introduction to Numerical Analysis. Springer-Verlag, New YorkCrossRefGoogle Scholar
  15. Tsakiris G (2014) Rational design of urban water supply and distribution systems. Water Util J 8:5–16Google Scholar
  16. Tsakiris G, Spiliotis M (2014) A Newton–Raphson analysis of urban water systems based on nodal head-driven outflow. Eur J Environ Civ Eng 18(8):882–896. CrossRefGoogle Scholar
  17. Xu Q, Chen Q, Ma J, Blanckaert K, Wan Z (2014) Water saving and energy reduction through pressure management in urban water distribution networks. Water Resour Manag 28:3715–3726. CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Rafael Bernardo Carmona-Paredes
    • 1
  • Rafael Bernardo Carmona-Benítez
    • 2
  1. 1.Institute of Engineering, MechanicalEngineeringUniversidad Nacional Autónoma de México (UNAM)Mexico CityMexico
  2. 2.School of Business and EconomicsUniversidad Anáhuac MéxicoHuixquilucanMexico

Personalised recommendations