A discrete and continuous mathematical model for the optimal synthesis and design of dual pressure heat recovery steam generators coupled to two steam turbines

This paper addresses the optimal arrangement and design of a dual pressure heat recovery steam generator coupled to two steam turbines. A superstructure that embeds various alternative configurations is optimized considering the following two single objective functions: (a) the maximization of the total net power generation for a given total heat transfer area and (b) the minimization of the total heat transfer area for a given total net power. The optimal number of heat exchangers and pumps and how they should be connected are the discrete decisions. The dimensions and operating conditions are the continuous decisions. A discrete and continuous mathematical model is developed and logical propositions are used for discrete decisions. The results are compared with a reference case reported by other authors. The results indicated that the optimization of the proposed superstructure allowed to find a more efficient HRSG configuration. The obtained configurations differ from the configuration of the reference case in how the heat exchangers and pumps are connected. A considerable increase in about 8% of the total net power generation in (a) and a significant reduction in about 24% of the total heat transfer area in (b) are achieved when compared to the reference case.

[1]  Paula Druetta,et al.  Optimization of Multi-Effect Evaporation desalination plants , 2013 .

[2]  Alessandro Franco,et al.  THERMOECONOMIC OPTIMIZATION OF HEAT RECOVERY STEAM GENERATORS OPERATING PARAMETERS FOR COMBINED PLANTS , 2004 .

[3]  Roberto Carapellucci,et al.  Thermoeconomic Optimization of Heat Recovery Steam Generators: A Modular Approach to Define the Layout of Heat Exchange Sections , 2012 .

[4]  Tor-Martin Tveit,et al.  Multi-period MINLP model for optimising operation and structural changes to CHP plants in district heating networks with long-term thermal storage , 2009 .

[5]  Emilio Manzanares-Papayanopoulos,et al.  Diagnosis and redesign of power plants using combined Pinch and Exergy Analysis , 2014 .

[6]  C. Fogelholm,et al.  Multi-period steam turbine network optimisation. Part II: Development of a multi-period MINLP model of a utility system , 2006 .

[7]  Pio A. Aguirre,et al.  Superstructure of Alternative Configurations of the Multistage Flash Desalination Process , 2006 .

[8]  Pradeep K. Sahoo,et al.  Exergoeconomic analysis and optimization of a cogeneration system using evolutionary programming , 2008 .

[9]  Richard E. Blanchard,et al.  Exergy efficiency graphs for thermal power plants , 2015 .

[10]  Edoardo Amaldi,et al.  Numerical optimization of heat recovery steam cycles: Mathematical model, two-stage algorithm and applications , 2011, Comput. Chem. Eng..

[11]  V. Ganapathy,et al.  Steam Generators and Waste Heat Boilers: For Process and Plant Engineers , 2014 .

[12]  Ignacio E. Grossmann,et al.  Integration of different models in the design of chemical processes: Application to the design of a power plant , 2014 .

[13]  Alessandro Franco,et al.  A general method for the optimum design of heat recovery steam generators , 2006 .

[14]  Jianing Zhao,et al.  Energetic and exergetic efficiencies of coal-fired CHP (combined heat and power) plants used in district heating systems of China , 2013 .

[15]  Antonio Peretto,et al.  Thermo-Economic Analysis of an Intercooled, Reheat and Recuperated Gas Turbine for Cogeneration Applications–Part I: Base Load Operation , 2002 .

[16]  Ignacio E. Grossmann,et al.  Design of distillation sequences: from conventional to fully thermally coupled distillation systems , 2004, Comput. Chem. Eng..

[17]  Abdolsaeid Ganjeh Kaviri,et al.  Exergetic and economic evaluation of the effect of HRSG configurations on the performance of combined cycle power plants , 2012 .

[18]  Ibrahim Dincer,et al.  Energetic and exergetic performance analyses of a combined heat and power plant with absorption inlet cooling and evaporative aftercooling , 2011 .

[19]  Y. M. El-Sayed,et al.  A Critical Review of Second Law Costing Methods—I: Background and Algebraic Procedures , 1989 .

[20]  Patrizia Beraldi,et al.  Optimal design of a small size trigeneration plant in civil users: A MINLP (Mixed Integer Non Linear Programming Model) , 2015 .

[21]  Viviani C. Onishi,et al.  Simultaneous synthesis of work exchange networks with heat integration , 2014 .

[22]  Sergio Mussati,et al.  Optimization mathematical model for the detailed design of air cooled heat exchangers , 2014 .

[23]  Ibrahim Dincer,et al.  Exergy analysis of a thermal power plant with measured boiler and turbine losses , 2010 .

[24]  George Tsatsaronis,et al.  ON AVOIDABLE AND UNAVOIDABLE EXERGY DESTRUCTIONS AND INVESTMENT COSTS IN THERMAL SYSTEMS , 2002 .

[25]  Sergio Mussati,et al.  Optimal synthesis and design of Heat Recovery Steam Generation (HRSG) via mathematical programming , 2011 .

[26]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[27]  Tatiana Morosuk,et al.  Comparative evaluation of LNG based cogeneration systems using advanced exergetic analysis , 2011 .

[28]  Sergio Mussati,et al.  A rigorous, mixed-integer, nonlineal programming model (MINLP) for synthesis and optimal operation of cogeneration seawater desalination plants , 2004 .

[29]  Afshin Ebrahimi,et al.  Exergoeconomic analysis and optimization of a triple-pressure combined cycle plant using evolutionary algorithm , 2015 .

[30]  Ignacio E. Grossmann,et al.  A Rigorous MINLP Model for the Optimal Synthesis and Operation of Utility Plants , 1998 .

[31]  Viviani C. Onishi,et al.  MINLP Model for the Synthesis of Heat Exchanger Networks with Handling Pressure of Process Streams , 2014 .

[32]  Zheng Li,et al.  A mixed-integer nonlinear programming approach to the optimal design of heat network in a polygeneration energy system , 2014 .

[33]  Y. M. El-Sayed,et al.  A Critical Review of Second Law Costing Methods—II: Calculus Procedures , 1989 .

[34]  Pio A. Aguirre,et al.  Modeling, synthesis and optimization of heat exchanger networks. Application to fuel processing syst , 2011 .

[35]  Pio A. Aguirre,et al.  Novel configuration for a multistage flash-mixer desalination system , 2003 .

[36]  Sanjay.  Investigation of effect of variation of cycle parameters on thermodynamic performance of gas-steam c , 2010 .

[37]  Tatiana Morosuk,et al.  Advanced exergetic analysis of a novel system for generating electricity and vaporizing liquefied natural gas , 2010 .

[38]  George Tsatsaronis,et al.  Strengths and Limitations of Exergy Analysis , 1999 .

[39]  Sergio Mussati,et al.  CO2 capture in power plants: Minimization of the investment and operating cost of the post-combustion process using MEA aqueous solution , 2012 .

[40]  Tatiana Morosuk,et al.  Parametric optimization of supercritical coal-fired power plants by MINLP and differential evolution , 2014 .

[41]  Thomas F. Edgar,et al.  Optimal scheduling of combined heat and power plants using mixed-integer nonlinear programming , 2014 .

[42]  Pio A. Aguirre,et al.  Including Disjunctions in Real-Time Optimization , 2014 .

[43]  Sergio Mussati,et al.  A disjunctive programming model for superstructure optimization of power and desalting plants , 2008 .

[44]  John J.J. Chen.  Comments on improvements on a replacement for the logarithmic mean , 1987 .

[45]  Ignacio E. Grossmann,et al.  Structural Considerations and Modeling in the Synthesis of Heat-Integrated-Thermally Coupled Distillation Sequences , 2006 .