Robust optimization based optimal chiller loading under cooling demand uncertainty

Abstract Optimization of electrical power consumption in multi-chiller system leads to save more energy in building or industrial locations. Also, this optimization problem is one of the most important issues in multi-chiller system. Furthermore, uncertainty modeling of cooling demand is necessary because of variation in cooling demand should be considered. Therefore, this work proposes a robust optimization approach for uncertainty modeling of cooling demand in order to obtain robust chiller loading in the uncertain environment which cooling demand is supplied by multi-chiller system. Minimizing of electrical power consumption in multi-chiller system is considered as objective function. The proposed robust scheduling of multi-chiller system is modeled as non-linear programming which is solved via CONOPT solver under General Algebraic Modeling System (GAMS) optimization software. The proposed optimization model is studied in the deterministic and robust optimization strategies and obtained results are compared with each other. Also, the effects of changes in the robust control parameter are analyzed on optimal chiller loading which decision maker can select the decision without risk as risk-neutral strategy via deterministic method or the most robust decision as risk-averse strategy via robust optimization approach. Comparison results show that capability of proposed approach in the uncertain environment.

[1]  Rahman Saidur.  Energy, economics and environmental analysis for chillers in office buildings , 2010 .

[2]  Nima Amjady,et al.  Solar energy forecasting based on hybrid neural network and improved metaheuristic algorithm , 2018, Comput. Intell..

[3]  Kazem Zare,et al.  Uncertainty-based electricity procurement by retailer using robust optimization approach in the presence of demand response exchange , 2019, International Journal of Electrical Power & Energy Systems.

[4]  Sayyad Nojavan,et al.  Stochastic energy procurement of large electricity consumer considering photovoltaic, wind-turbine, micro-turbines, energy storage system in the presence of demand response program , 2015 .

[5]  Behnam Mohammadi-Ivatloo,et al.  Optimal bidding strategy of electricity retailers using robust optimisation approach considering time-of-use rate demand response programs under market price uncertainties , 2015 .

[6]  Alireza Askarzadeh,et al.  A new solution for loading optimization of multi-chiller systems by general algebraic modeling system , 2015 .

[7]  Shang-Ho Tsai,et al.  Economic dispatch of chiller plant by improved ripple bee swarm optimization algorithm for saving energy , 2016 .

[8]  Noradin Ghadimi,et al.  Fuzzy stochastic long-term model with consideration of uncertainties for deployment of distributed energy resources using interactive honey bee mating optimization , 2014 .

[9]  R. J. Hackner,et al.  HVAC system dynamics and energy use in existing buildings. I , 1984 .

[10]  Kazem Zare,et al.  Risk-based optimal bidding strategy of generation company in day-ahead electricity market using information gap decision theory , 2013 .

[11]  Hossein Shayeghi,et al.  Application of a new hybrid forecast engine with feature selection algorithm in a power system , 2019 .

[12]  Kazem Zare,et al.  Robust thermal and electrical management of smart home using information gap decision theory , 2018 .

[13]  Sayyad Nojavan,et al.  A hybrid approach based on IGDT–MPSO method for optimal bidding strategy of price-taker generation station in day-ahead electricity market , 2015 .

[14]  Kazem Zare,et al.  Large Consumer Electricity Acquisition Considering Time-of-Use Rates Demand Response Programs , 2014 .

[15]  Behnam Mohammadi-Ivatloo,et al.  Robust optimization based price-taker retailer bidding strategy under pool market price uncertainty , 2015 .

[16]  Yung-Chung Chang,et al.  An innovative approach for demand side management—optimal chiller loading by simulated annealing , 2006 .

[17]  Kazem Zare,et al.  Heating and power hub models for robust performance of smart building using information gap decision theory , 2018 .

[18]  Kazem Zare,et al.  Optimal energy pricing for consumers by electricity retailer , 2018, International Journal of Electrical Power & Energy Systems.

[19]  Behnam Mohammadi-Ivatloo,et al.  Design and robust optimization of a novel industrial continuous heat treatment furnace , 2018 .

[20]  Sayyad Nojavan,et al.  Energy storage system and demand response program effects on stochastic energy procurement of large consumers considering renewable generation , 2016 .

[21]  Kazem Zare,et al.  Optimal bidding and offering strategies of merchant compressed air energy storage in deregulated electricity market using robust optimization approach , 2018 .

[22]  Alessandro Beghi,et al.  A PSO-based algorithm for optimal multiple chiller systems operation , 2012 .

[23]  Yung-Chung Chang,et al.  A novel energy conservation method—optimal chiller loading , 2004 .

[24]  Yung-Chung Chang,et al.  Optimal chiller loading by genetic algorithm for reducing energy consumption , 2005 .

[25]  Viviana Cocco Mariani,et al.  Improved firefly algorithm approach applied to chiller loading for energy conservation , 2013 .

[26]  Liping Wang,et al.  Particle Swarm Optimization for Control Operation of an All-Variable Speed Water-Cooled Chiller Plant , 2018 .

[27]  Noradin Ghadimi,et al.  The price prediction for the energy market based on a new method , 2018 .

[28]  Noradin Ghadimi,et al.  A new prediction model of battery and wind-solar output in hybrid power system , 2019, J. Ambient Intell. Humaniz. Comput..

[29]  Yung-Chung Chang,et al.  Applying smart models for energy saving in optimal chiller loading , 2014 .

[30]  Abbas Rabiee,et al.  A two-point estimate method for uncertainty modeling in multi-objective optimal reactive power dispatch problem , 2016 .

[31]  Behnam Mohammadi-Ivatloo,et al.  Risk-constrained scheduling of solar Stirling engine based industrial continuous heat treatment furnace , 2018 .

[32]  Melvyn Sim,et al.  Robust discrete optimization and network flows , 2003, Math. Program..

[33]  Alireza Askarzadeh,et al.  An enhanced bat algorithm approach for reducing electrical power consumption of air conditioning systems based on differential operator , 2016 .

[34]  Kazem Zare,et al.  Optimal bidding strategy of generation station in power market using information gap decision theory (IGDT) , 2013 .

[35]  Noradin Ghadimi,et al.  Short-term management of hydro-power systems based on uncertainty model in electricity markets , 2015 .

[36]  Hao Wu,et al.  An OPF based approach for assessing the minimal reactive power support for generators in deregulated power systems , 2008 .

[37]  Adel Akbarimajd,et al.  A new prediction model based on multi-block forecast engine in smart grid , 2018, J. Ambient Intell. Humaniz. Comput..

[38]  Alessandro Beghi,et al.  A multi-phase genetic algorithm for the efficient management of multi-chiller systems , 2009, 2009 7th Asian Control Conference.

[39]  Kazem Zare,et al.  Robust optimal offering strategy of large consumer using IGDT considering demand response programs , 2016 .

[40]  Kazem Zare,et al.  Information gap decision theory-based risk-constrained scheduling of smart home energy consumption in the presence of solar thermal storage system , 2018 .

[41]  Wen-Shing Lee,et al.  Optimal chiller loading by differential evolution algorithm for reducing energy consumption , 2011 .

[42]  Mohammad Ghiasi,et al.  Extracting Appropriate Nodal Marginal Prices for All Types of Committed Reserve , 2019 .

[43]  Leandro dos Santos Coelho,et al.  Using two improved particle swarm optimization variants for optimization of daily electrical power consumption in multi-chiller systems , 2015 .

[44]  Seyed Hossein Hosseinian,et al.  A novel approach for optimal chiller loading using particle swarm optimization , 2008 .

[45]  Kazem Zare,et al.  RETRACTED: Interval optimization based performance of photovoltaic/wind/FC/electrolyzer/electric vehicles in energy price determination for customers by electricity retailer , 2018, Solar Energy.

[46]  Mohsen Mohammadi,et al.  Small-Scale Building Load Forecast based on Hybrid Forecast Engine , 2017, Neural Processing Letters.

[47]  Behnam Mohammadi-Ivatloo,et al.  Robust bidding and offering strategies of electricity retailer under multi-tariff pricing , 2017 .

[48]  Samrat L. Sabat,et al.  Optimal chiller loading for energy conservation using a new differential cuckoo search approach , 2014 .

[49]  Stephen White,et al.  A comprehensive, multi-objective optimization of solar-powered absorption chiller systems for air-conditioning applications , 2017 .

[50]  Yung-Chung Chang,et al.  Optimal chiller loading by evolution strategy for saving energy , 2007 .

[51]  Noradin Ghadimi,et al.  A new feature selection and hybrid forecast engine for day-ahead price forecasting of electricity markets , 2017, J. Intell. Fuzzy Syst..

[52]  Sayyad Nojavan,et al.  A stochastic self-scheduling program for compressed air energy storage (CAES) of renewable energy sources (RESs) based on a demand response mechanism , 2016 .