Abstract

An ever-growing population together with globally depleting water resources pose immense stresses for water supply systems. Desalination technologies can reduce these stresses by generating fresh water from saline water sources. Reverse osmosis (RO), as the industry leading desalination technology, typically involves a complex network of membrane modules that separate unwanted particles from water. The optimal design and operation of these complex RO systems can be computationally expensive. In this work, we present a modeling and optimization strategy for addressing the optimal operation of an industrial-scale RO plant. We employ a feed-forward artificial neural network (ANN) surrogate modeling representation with rectified linear units as activation functions to capture the membrane behavior accurately. Several ANN set-ups and surrogate models are presented and evaluated, based on collected data from the HOaks RO desalination plant in South-Central Texas. The developed ANN is then transformed into a mixed-integer linear programming formulation for the purpose of minimizing energy consumption while maximizing water utilization. Trade-offs between the two competing objectives are visualized in a Pareto front, where indirect savings can be uncovered by comparing energy consumption for an array of water recoveries and feed flows.

Highlights

  • Due to a worldwide growing population the demand for water is ever-increasing, leading to global water scarcity that is driven by water quantity, and by water quality issues [1]

  • All reported root mean square error (R) values are referring to the normalized data and the complete data set under investigation

  • To incorporate the artificial neural network (ANN) to calculate the pressure difference across the energy recovery device (ERD) and the ANN to approximate the permeate concentration in the optimization model, both ANN models are reformulated as mixed-integer linear programming (MILP), as presented in [58,70]

Read more

Summary

Introduction

Due to a worldwide growing population the demand for water is ever-increasing, leading to global water scarcity that is driven by water quantity, and by water quality issues [1]. Li studied the optimal operation of a BWRO desalination plant based on a constrained nonlinear optimization model resulting in a 10% energy consumption reduction while the same permeate flows are being maintained [16]. Sassi and Mujtaba combined the solution-diffusion model with film theory to derive a nonlinear optimization framework which minimizes the specific energy consumption of the RO system at fixed permeate output and quality based on operational parameters [20]. Farsi and Rosen performed a multi-objective optimization case study based on an ANN for a geothermal desalination system to evaluate the trade-off between exergy efficiency and process cost [46].

RO Plant Description and Problem Definition
Column 8 Vessels per Column 7 Membranes per Vessel
Surrogate Modeling
Retentate Pressures
12 Linear Regression Measured Data
Water Recoveries
Permeate Concentration
Objective Function
Optimization Model
Results and Discussion
Energy Minimization
Multi-Objective Optimization
Conclusions
C Concentration
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call