Statistical regression and modeliing analysis for reverse osmosis
desalination process
Sobana Subramani, Rames C. Panda ⁎
Department of Chemical Engineering, CSIR-CLRI, Adyar, Chennai 600 020, India
HIGHLIGHTS
• Correlations indicate that the permeate
characteristics depend on feed flowrate.
• The model is also validated using plant
data.
• The model for permeate flow-rate sup-
ports the use as a 2nd degree prediction
model.
• Modeling 2-input, 3-output will help in
developing control strategies.
GRAPHICAL ABSTRACT
abstract article info
Article history:
Received 22 May 2014
Received in revised form 23 July 2014
Accepted 26 July 2014
Available online xxxx
Keywords:
Desalination
Reverse osmosis
Statistical model
Regression
Multivariate ANOVA
Experiment is conducted, across different units of a typical desalination plant, to build correlations between inputs/
outputs. Steady-state statistical models of reverse osmosis (RO) are developed using stream characteristic data
(flow rate, concentration and pH) over a period of time. Data-driven models are useful for deciding real time oper-
ational control strategies of desalination plant. The statistical analysis of correlations obtained indicates that perme-
ate characteristics depend on feed stream flow rate by a second degree polynomial. Significance of regression was
evaluated based on multivariate ANOVA analysis, on visual standardized residuals distribution and their means for
confidence levels of 95% and 99%, clearly validating these models. Sensitivity of parameters is found from interaction
and co-relation studies. These models will help in safe operation and control of RO-desalination plant.
© 2014 Elsevier B.V. All rights reserved.
1. Introduction
Desalination is used to separate salts from raw water for use in boiler
feed, thermal power generation, electronic industries, chemical indus-
tries, textile industries, and leather industry and also for production of
portable water. The process is carried out through distillation, multiple
effect vapor compression, evaporation, or membrane processes such
as electro-dialysis reversal, nano-filtration, and reverse osmosis (RO).
Being advantageous over other separation techniques, reverse osmosis
is basically a pressure driven process where no energy phase change
(or) potentially expensive solvents (or) adsorbents are needed. It is sim-
ple to design and operate compared to other traditional separation pro-
cesses. Separation of inorganic, organic and microbiological impurities
is simultaneously done by RO. A schematic of the process is shown in
Fig. 1. There are mainly two inputs, namely, pump pressure (ΔP) and
Desalination 351 (2014) 120–127
⁎ Corresponding author. Fax: +91 44 24911589.
E-mail address: panda@clri.res.in (R.C. Panda).
http://dx.doi.org/10.1016/j.desal.2014.07.038
0011-9164/© 2014 Elsevier B.V. All rights reserved.
Contents lists available at ScienceDirect
Desalination
journal homepage: www.elsevier.com/locate/desal