Optimal integrated sizing and operation of a CHP system with Monte Carlo risk analysis for long-term uncertainty in energy demands

Abstract In this study a probabilistic approach for optimal sizing of cogeneration systems under long-term uncertainty in energy demand is proposed. A dynamic simulation framework for detailed modeling of the energy system is defined, consisting in both traditional and optimal operational strategies evaluation. A two-stage stochastic optimization algorithm is developed, adopting Monte Carlo method for the definition of a multi-objective optimization problem. An Italian hospital facility has been used as a case study and a gas internal combustion engine is considered for the cogeneration unit. The results reveal that the influence of uncertainties on both optimal size and annual total cost is significant. Optimal size obtained with the traditional deterministic approach are found to be sub-optimal (up to 30% larger) and the predicted annual cost saving is always lower when accounting for uncertainties. Pareto frontiers of different CHP configurations are presented and show the effectiveness of the proposed method as a useful tool for risk management and focused decision-making, as tradeoffs between system efficiency and system robustness.

[1]  Pedro J. Mago,et al.  Combined cooling, heating and power: A review of performance improvement and optimization , 2014 .

[2]  Kody M. Powell,et al.  Optimal combined long-term facility design and short-term operational strategy for CHP capacity investments , 2017 .

[3]  Özgür Yildiz,et al.  Economic risk analysis of decentralized renewable energy infrastructures – A Monte Carlo Simulation approach , 2015 .

[4]  Ali Behbahaninia,et al.  Application of Monte Carlo method in economic optimization of cogeneration systems – Case study of the CGAM system , 2016 .

[5]  Mahmoud M. El-Halwagi,et al.  Optimal design of integrated CHP systems for housing complexes , 2015 .

[6]  Y. M. Shi,et al.  Sensitivity analysis of energy demands on performance of CCHP system , 2008 .

[7]  Guo Li,et al.  A two-stage optimal planning and design method for combined cooling, heat and power microgrid system , 2013 .

[8]  F. Jolai,et al.  Optimal investment and unit sizing of distributed energy systems under uncertainty: A robust optimization approach , 2014 .

[9]  Gaetano Florio,et al.  A mixed integer programming model for optimal design of trigeneration in a hospital complex , 2007 .

[10]  Enrico Carpaneto,et al.  Cogeneration planning under uncertainty. Part II: Decision theory-based assessment of planning alternatives , 2011 .

[11]  Christos N. Markides,et al.  A Technology Selection and Operation (TSO) optimisation model for distributed energy systems: Mathematical formulation and case study , 2016 .

[12]  George Mavrotas,et al.  Energy planning of a hospital using Mathematical Programming and Monte Carlo simulation for dealing with uncertainty in the economic parameters , 2010 .

[13]  Bohumil Horák,et al.  Tri and polygeneration systems - A review , 2016 .

[14]  Sami Kara,et al.  The optimal selection of on-site CHP systems through integrated sizing and operational strategy , 2014 .

[15]  Hoseyn Sayyaadi,et al.  Application of the multi-objective optimization and risk analysis for the sizing of a residential small-scale CCHP system , 2013 .

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

[17]  Gevork B. Gharehpetian,et al.  Optimization of distributed generation capacities in buildings under uncertainty in load demand , 2013 .

[18]  Edoardo Amaldi,et al.  A detailed MILP optimization model for combined cooling, heat and power system operation planning , 2014 .

[19]  Alberto Coronas,et al.  Operational optimisation of a complex trigeneration system connected to a district heating and cooling network , 2013 .

[20]  Alfredo Gimelli,et al.  Optimal design of modular cogeneration plants for hospital facilities and robustness evaluation of the results , 2017 .

[21]  José A. Perrella Balestieri,et al.  Influences of thermal and electric load fluctuations in the cogeneration attractiveness , 2006 .

[22]  Gulgun Kayakutlu,et al.  Operational optimization in simple tri-generation systems , 2016 .

[23]  José María Ponce-Ortega,et al.  Optimal design of residential cogeneration systems under uncertainty , 2016, Comput. Chem. Eng..

[24]  Saffa Riffat,et al.  Tri-generation systems: Energy policies, prime movers, cooling technologies, configurations and operation strategies , 2014 .

[25]  Nan Li,et al.  Optimal design and operation strategy for integrated evaluation of CCHP (combined cooling heating and power) system , 2016 .

[26]  George Mavrotas,et al.  A mathematical programming framework for energy planning in services' sector buildings under uncertainty in load demand: The case of a hospital in Athens , 2008 .

[27]  Manuel A. Matos,et al.  Decision under risk as a multicriteria problem , 2007, Eur. J. Oper. Res..

[28]  Alessandro Franco,et al.  Multi-objective optimization for the maximization of the operating share of cogeneration system in District Heating Network , 2017 .

[29]  Ryohei Yokoyama,et al.  Optimal unit sizing of cogeneration systems in consideration of uncertain energy demands as continuous random variables , 2002 .

[30]  Sheng Liu,et al.  Uncertain programming of building cooling heating and power (BCHP) system based on Monte-Carlo method , 2010 .

[31]  Enrico Carpaneto,et al.  Cogeneration Planning under Uncertainty. Part I: Multiple Time Frame Formulation , 2011 .

[32]  Brent Stephens,et al.  Updated generalized natural gas reciprocating engine part-load performance curves for cogeneration applications , 2017 .

[33]  Cristina Elsido,et al.  Two-stage MINLP algorithm for the optimal synthesis and design of networks of CHP units , 2017 .

[34]  Alessandro Franco,et al.  Optimum sizing and operational strategy of CHP plant for district heating based on the use of composite indicators , 2017 .

[35]  Nan Li,et al.  Analysis of the integrated performance and redundant energy of CCHP systems under different operation strategies , 2015 .

[36]  Ryohei Yokoyama,et al.  Multiobjective Optimal Design of Energy Supply Systems Based on Relative Robustness Criterion , 2002 .

[37]  Refrigerating ASHRAE handbook and product directory /published by the American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc , 1977 .

[38]  Xianglong Luo,et al.  Mathematical modelling and optimization of a large-scale combined cooling, heat, and power system that incorporates unit changeover and time-of-use electricity price , 2017 .

[39]  Antonio Piacentino,et al.  On thermoeconomics of energy systems at variable load conditions: Integrated optimization of plant design and operation , 2007 .

[40]  Farouk Fardoun,et al.  Review of tri-generation technologies: Design evaluation, optimization, decision-making, and selection approach , 2016 .

[41]  I. M. Sobolʹ The Monte Carlo method , 1974 .

[42]  F. Jolai,et al.  Optimal design of distributed energy system in a neighborhood under uncertainty , 2016 .