Working fluid selection for organic rankine cycles via deterministic global optimization of design and operation

The performance of an organic Rankine cycle (ORC) relies on process design and operation. Simultaneous optimization of design and operation for a range of working fluids (WFs) is therefore a promising approach for WF selection. For this, deterministic global process optimization can guarantee to identify a global optimum, in contrast to local or stochastic global solution approaches. However, providing accurate thermodynamic models for a large number of WFs while maintaining computational tractability of the resulting optimization problems are open research questions. We integrate accurate thermodynamic and transport properties via artificial neural networks (ANNs) and solve the design problems with MAiNGO in a reduced-space formulation. We illustrate the approach for an ORC process for waste heat recovery of a diesel truck. After an automated preselection of 122 WFs, ANNs are automatically trained for the 37 selected WFs based on data retrieved from the thermodynamic library CoolProp. Then, we perform deterministic global optimization of design and operation for every WF individually. Therein, the trade-off between net power generation and investment cost is investigated by multiobjective optimization. Further, a thermoeconomic optimization finds a compromise between both objectives. The results show that, for the given conditions, monoaromatic hydrocarbons are a promising group of WFs. In future work, the proposed method and the trained ANNs can be applied to the design of a variety of energy processes.

[1]  Robert D. Chalgren,et al.  Development and Verification of a Heavy Duty 42/14V Electric Powertrain Cooling System , 2003 .

[2]  Christos N. Markides,et al.  Multi-objective thermo-economic optimization of organic Rankine cycle (ORC) power systems in waste-heat recovery applications using computer-aided molecular design techniques , 2019, Applied Energy.

[3]  J. Agudelo,et al.  Basic properties of palm oil biodiesel–diesel blends , 2008 .

[4]  Lisa Branchini,et al.  Systematic comparison of ORC configurations by means of comprehensive performance indexes , 2013 .

[5]  Alberto Ayala,et al.  Analysis of heavy-duty diesel truck activity and emissions data , 2006 .

[6]  Alexander Mitsos,et al.  Impact of Accurate Working Fluid Properties on the Globally Optimal Design of an Organic Rankine Cycle , 2019, Computer Aided Chemical Engineering.

[7]  Guo Tao,et al.  Performance comparison and parametric optimization of subcritical Organic Rankine Cycle (ORC) and transcritical power cycle system for low-temperature geothermal power generation , 2011 .

[8]  Paul I. Barton,et al.  McCormick-Based Relaxations of Algorithms , 2009, SIAM J. Optim..

[9]  Minggao Ouyang,et al.  Study of working fluid selection of organic Rankine cycle (ORC) for engine waste heat recovery , 2011 .

[10]  Tsing-Fa Lin,et al.  Saturated flow boiling heat transfer and pressure drop of refrigerant R-410A in a vertical plate heat exchanger , 2002 .

[11]  André Bardow,et al.  1-stage CoMT-CAMD: An approach for integrated design of ORC process and working fluid using PC-SAFT , 2017 .

[12]  Christodoulos A. Floudas,et al.  ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations , 2014, Journal of Global Optimization.

[13]  Kim Sørensen,et al.  Guidelines for optimal selection of working fluid for an organic Rankine cycle in relation to waste heat recovery , 2016 .

[14]  Jiangfeng Wang,et al.  Parametric optimization and comparative study of organic Rankine cycle (ORC) for low grade waste heat recovery , 2009 .

[15]  George Papadakis,et al.  Low­grade heat conversion into power using organic Rankine cycles - A review of various applications , 2011 .

[16]  Nikolaos V. Sahinidis,et al.  A polyhedral branch-and-cut approach to global optimization , 2005, Math. Program..

[17]  Vincent Lemort,et al.  Thermo-economic optimization of waste heat recovery Organic Rankine Cycles , 2011 .

[18]  Alexander Mitsos,et al.  Convergence Order of McCormick Relaxations of LMTD function in Heat Exchanger Networks , 2016 .

[19]  N. Lai,et al.  Working fluids for high-temperature organic Rankine cycles , 2007 .

[20]  Dongxiang Wang,et al.  Efficiency and optimal performance evaluation of organic Rankine cycle for low grade waste heat power generation , 2013 .

[21]  Jinliang Xu,et al.  The optimal evaporation temperature and working fluids for subcritical organic Rankine cycle , 2012 .

[22]  Christos N. Markides,et al.  Thermoeconomic analysis of recuperative sub- and transcritical organic Rankine cycle systems , 2017 .

[23]  M. McLinden,et al.  NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 8.0 , 2007 .

[24]  Wolfgang R. Huster,et al.  Deterministic global optimization of the design of a geothermal organic rankine cycle , 2017 .

[25]  Christos N. Markides,et al.  Industrial waste-heat recovery through integrated computer-aided working-fluid and ORC system optimisation using SAFT-Γ Mie , 2017 .

[26]  E. Stefanakos,et al.  A REVIEW OF THERMODYNAMIC CYCLES AND WORKING FLUIDS FOR THE CONVERSION OF LOW-GRADE HEAT , 2010 .

[27]  E. Schlunder,et al.  VDI Heat Atlas , 1993 .

[28]  Apostolos Pesyridis,et al.  Machine Learning for the prediction of the dynamic behavior of a small scale ORC system , 2019, Energy.

[29]  Paolino Tona,et al.  Optimal Control for an Organic Rankine Cycle on board a Diesel-Electric Railcar , 2015 .

[30]  Li Zhao,et al.  A review of working fluid and expander selections for organic Rankine cycle , 2013 .

[31]  Patrick Linke,et al.  Systematic Methods for Working Fluid Selection and the Design, Integration and Control of Organic Rankine Cycles—A Review , 2015 .

[32]  S. K. Wang,et al.  A Review of Organic Rankine Cycles (ORCs) for the Recovery of Low-grade Waste Heat , 1997 .

[33]  Bertrand F. Tchanche,et al.  Fluid selection for a low-temperature solar organic Rankine cycle , 2009 .

[34]  Wolfgang R. Huster,et al.  Validated dynamic model of an organic Rankine cycle (ORC) for waste heat recovery in a diesel truck , 2018 .

[35]  T. Hung Waste heat recovery of organic Rankine cycle using dry fluids , 2001 .

[36]  Maria Anna Chatzopoulou,et al.  Computer-aided working-fluid design, thermodynamic optimisation and thermoeconomic assessment of ORC systems for waste-heat recovery , 2018, Energy.

[37]  Artur M. Schweidtmann,et al.  Deterministic Global Optimization with Artificial Neural Networks Embedded , 2018, Journal of Optimization Theory and Applications.

[38]  D. Richon,et al.  Modeling of thermodynamic properties using neural networks: Application to refrigerants , 2002 .

[39]  Wolfgang R. Huster,et al.  Deterministic global process optimization: Accurate (single-species) properties via artificial neural networks , 2019, Comput. Chem. Eng..

[40]  Dominique Richon,et al.  Use of artificial neural networks for calculating derived thermodynamic quantities from volumetric property data , 2003 .

[41]  Benoît Chachuat,et al.  Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems , 2015 .

[42]  Laura Palagi,et al.  Neural networks for small scale ORC optimization , 2017 .

[43]  Alexander Mitsos,et al.  Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations , 2017, Journal of Global Optimization.

[44]  Vincent Lemort,et al.  Pure and Pseudo-pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp , 2014, Industrial & engineering chemistry research.

[45]  Pedro J. Mago,et al.  An examination of regenerative organic Rankine cycles using dry fluids , 2008 .

[46]  André Bardow,et al.  Computer-aided molecular design in the continuous-molecular targeting framework using group-contribution PC-SAFT , 2015, Comput. Chem. Eng..