A PSO approach for optimum design of dynamic inversion controller in water distribution systems

Water distribution systems have become immensely complex due to ever increasing water demand and sporadic availability of water at the sources. Generally, water management issues are handled through human intervention, which naturally leads to incompetent trial and error procedures. Moreover, the non-linear system dynamics and sequential pumping operations involved in the water distribution systems make the manual control tricky. Past studies suggest that system efficiencies can be tremendously enhanced by automatic control of such systems. However, the use of control algorithms is not yet in vogue among water engineers. Thus, to demonstrate the efficacy of auto-operated water distribution network, a water supply system dataset available in the literature has been considered as a case study in the present research. This study attempts to evaluate the performance of particle swarm optimization and Ziegler–Nichols tuned dynamic inversion control of pumps in maintaining the target water levels in a series of reservoirs, wherein the controller proficiency has been gauged for different initial conditions and non-constant demand inputs. The results indicate good performance and convergence characteristics of both the controllers and thus they can be used for real time operations.

[1]  A. Piazzi,et al.  Robust setpoint constrained regulation via dynamic inversion t , 2000 .

[2]  Yih-Lon Lin,et al.  A particle swarm optimization approach to nonlinear rational filter modeling , 2008, Expert Syst. Appl..

[3]  M. A. Abido Optimal des'ign of Power System Stabilizers Using Particle Swarm Opt'imization , 2002, IEEE Power Engineering Review.

[4]  İlyas Eker,et al.  Operation and simulation of city of Gaziantep water supply system in Turkey , 2003 .

[5]  M. Prasanna Kumar,et al.  Comparative study of three types of controllers for water distribution networks , 2009 .

[6]  Mohamed Benallouch,et al.  H∞ model predictive control for discrete-time switched linear systems with application to drinking water supply network , 2014 .

[7]  Motohisa Funabashi,et al.  Optimal control of water distribution systems by network flow theory , 1982, 1982 21st IEEE Conference on Decision and Control.

[8]  Simplício Arnaud da Silva,et al.  Operational optimisation of water supply networks using a fuzzy system , 2012 .

[9]  M. A. Brdys,et al.  Operational Control of Water Systems: Structures, Algorithms, and Applications , 1994 .

[10]  David Fiorelli,et al.  Application of an optimal predictive controller for a small water distribution network in Luxembourg , 2013 .

[11]  Zwe-Lee Gaing,et al.  A particle swarm optimization approach for optimum design of PID controller in AVR system , 2004 .

[12]  Zwe-Lee Gaing A particle swarm optimization approach for optimum design of PID controller in AVR system , 2004, IEEE Transactions on Energy Conversion.

[13]  A Campisano,et al.  PID and PLC units for the real-time control of sewer systems. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[14]  Oscar Castillo,et al.  Trends in Intelligent Systems and Computer Engineering , 2008 .

[15]  Benjamin C. Kuo,et al.  AUTOMATIC CONTROL SYSTEMS , 1962, Universum:Technical sciences.

[16]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[17]  Russell C. Eberhart,et al.  A discrete binary version of the particle swarm algorithm , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[18]  Pawan Kumar Rai,et al.  A constrained tuning approach for optimal pump operation , 2013 .

[19]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .