A generalized disjunctive programming model for the optimal design of reverse electrodialysis process for salinity gradient-based power generation

Tristán, Carolina; Fallanza, Marcos; Ibáñez, Raquel; Ortíz, Inmaculada; Grossmann, Iris

doi:10.1016/j.compchemeng.2023.108196

Cited by 4 publications

(4 citation statements)

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“…The objective function

of Tristán et al’s (2023) [ 30 ] model maximizes the net present value (NPV, in EUR) of the RED plant, as given in Equation (1):

where TNP is the total net power (kW),

is the load factor or the actual working hours of the RED plant (as % of the total hours in a year),

is the electricity price (EUR/kWh), cp is the carbon price (EUR/tCO 2e ), ef is the emission factor (expressed in kg CO 2e /kWh), and CRF is the capital recovery factor (−). Disbursement flows involve the incurred annualized capital and yearly operational expenses that yield the total annual cost (TAC in EUR/year, defined by Equation (2)) of the RED process.…”

Section: Methodsmentioning

confidence: 99%

“…This section summarizes the main equations and assumptions of the optimization model developed by Tristán et al (2023), which are detailed in depth in their publication of Computers and Chemical Engineering [30]. The optimization model is formulated as a Generalized Disjunctive Programming (GDP) problem that incorporates a finitedifference RED stack model from our research group to define the cost-optimal process design.…”

Section: Techno-economic Assessmentmentioning

confidence: 99%

“…The objective function f (x) of Tristán et al's (2023) [30] model maximizes the net present value (NPV, in EUR) of the RED plant, as given in Equation ( 1):…”

Section: Techno-economic Assessmentmentioning

confidence: 99%

“…Tristán et al (2023) [ 30 ] developed an optimization model formulated as a Generalized Disjunctive Programming (GDP) problem that incorporates a RED stack mathematical model from our research group. This decision-making tool is able to define the cost-optimal process design.…”

Section: Introductionmentioning

confidence: 99%

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Design of a Reverse Electrodialysis Plant for Salinity Gradient Energy Extraction in a Coastal Wastewater Treatment Plant

et al. 2023

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The chemical potential difference at the discharge points of coastal Wastewater Treatment Plants (WWTPs) uncovers the opportunity to harness renewable salinity gradient energy (SGE). This work performs an upscaling assessment of reverse electrodialysis (RED) for SGE harvesting of two selected WWTPs located in Europe, quantified in terms of net present value (NPV). For that purpose, a design tool based on an optimization model formulated as a Generalized Disjunctive Program previously developed by the research group has been applied. The industrial scale-up of SGE-RED has already proven to be technically and economically feasible in the Ierapetra medium-sized plant (Greece), mainly due to a greater volumetric flow and a warmer temperature. At the current price of electricity in Greece and the up-to-date market cost of membranes of 10 EUR/m2, the NPV of an optimized RED plant in Ierapetra would amount to EUR117 thousand operating with 30 RUs in winter and EUR 157 thousand for 32 RUs in summer, harnessing 10.43 kW and 11.96 kW of SGE for the winter and summer seasons, respectively. However, in the Comillas facility (Spain), this could be cost-competitive with conventional alternatives, namely coal or nuclear power, under certain conditions such as lower capital expenses due to affordable membrane commercialization (4 EUR/m2). Bringing the membrane price down to 4 EUR/m2 would place the SGE-RED’s Levelized Cost of Energy in the range of 83 EUR/MWh to 106 EUR/MWh, similar to renewable sources such as solar PV residential rooftops.

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“…The objective function

of Tristán et al’s (2023) [ 30 ] model maximizes the net present value (NPV, in EUR) of the RED plant, as given in Equation (1):

where TNP is the total net power (kW),

is the load factor or the actual working hours of the RED plant (as % of the total hours in a year),

Section: Methodsmentioning

confidence: 99%

Section: Techno-economic Assessmentmentioning

confidence: 99%

“…The objective function f (x) of Tristán et al's (2023) [30] model maximizes the net present value (NPV, in EUR) of the RED plant, as given in Equation ( 1):…”

Section: Techno-economic Assessmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations