Abstract

A mixed-integer non-linear programming optimisation framework is formulated and developed that combines a molecular-based, group-contribution equation of state, SAFT-γ Mie, with a thermodynamic description of an organic Rankine cycle (ORC) power system. In this framework, a set of working fluids is described by its constituent functional groups (e.g., since we are focussing here on hydrocarbons: CH3, CH2, etc.), and integer optimisation variables are introduced in the description the working-fluid structure. Molecular feasibility constraints are then defined to ensure all feasible working-fluid candidates can be found. This optimisation framework facilitates combining the computer-aided molecular design of the working fluid with the power-system optimisation into a single framework, thus removing subjective and pre-emptive screening criteria, and simultaneously moving towards the next generation of tailored working fluids and optimised systems for waste-heat recovery applications. SAFT-γ Mie has not been previously employed in such a framework. The optimisation framework, which is based here on hydrocarbon functional groups, is first validated against an alternative formulation that uses (pseudo-experimental) thermodynamic property predictions from REFPROP, and against an optimisation study taken from the literature. The framework is then applied to three industrial waste-heat recovery applications. It is found that simple molecules, such as propane and propene, are the optimal ORC working fluids for a low-grade (150°C) heat source, whilst molecules with increasing molecular complexity are favoured at higher temperatures. Specifically, 2-alkenes emerge as the optimal working fluids for medium- and higher-grade heat-sources in the 250–350°C temperature range. Ultimately, the results demonstrate the potential of this framework to drive the search for the next generation of ORC systems, and to provide meaningful insights into identifying the working fluids that represent the optimal choices for targeted applications. Finally, the effects of the working-fluid structure on the expander and pump are investigated, and the suitability of group-contribution methods for evaluating the transport properties of hydrocarbon working-fluids are considered, in the context of performing complete thermoeconomic evaluations of these systems.

Highlights

  • Increasing concerns over depleting fossil-fuel reserves and the detrimental effects on human health and the environment linked to the release of their combustion products have led to a surge of interest in renewable and sustainable energy systems in recent years

  • In statistical associating fluid theory (SAFT), a working fluid is modelled as a chain of spherical segments, and the Helmholtz free energy is determined by as sum of individual ideal and residual contributions; the latter are decomposed into monomer, chain and association terms

  • Before applying the computer-aided molecular design (CAMD)-organic Rankine cycle (ORC) model to a waste heat recovery (WHR) case study, it is necessary to validate that SAFT-c Mie is suitable for determining the performance of ORC systems

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Summary

Introduction

Increasing concerns over depleting fossil-fuel reserves and the detrimental effects on human health and the environment linked to the release of their combustion products have led to a surge of interest in renewable and sustainable energy systems in recent years. Brignoli and Brown [47] developed an ORC model based on a cubic equation of state, and coupled this to group-contribution methods This allowed a parametric investigation into the effect of the critical point parameters on the ORC performance, and it was suggested that this method could be used to identify new working-fluids in the future. Palma-Flores et al [48] formulated a CAMD-ORC framework for WHR applications and found that through CAMD it is possible to both improve the thermal efficency of the system and the safety characteristics of the working fluid Another recent study, conducted by Su and Deng [49], employed group-contribution methods within an ORC model. This paper is the first study to evaluate group-contribution methods for determining transport properties These results will inform future modelling efforts, allowing heat exchanger sizing models and cost correlations to be integrated into the CAMD-ORC framework.

Model description
SAFT-c Mie equation of state
Molecularly feasibility constraints
ORC model
Optimisation problem definition
Validation of the molecular constraints
Validation of SAFT-c Mie within an ORC model
Validation of the optimisation model
Definition
Parametric NLP study
MINLP study
Beyond thermodynamic modelling
Transport property prediction for heat exchanger modelling
Dynamic viscosity
Thermal conductivity
Liquid surface tension
Expander and pump modelling
Findings
Conclusions
Full Text
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