Metaheuristic Techniques in Enhancing the Efficiency and Performance of Thermo-Electric Cooling Devices

The objective of this paper is to focus on the technical issues of single-stage thermo-electric coolers (TECs) and two-stage TECs and then apply new methods in optimizing the dimensions of TECs. In detail, some metaheuristics—simulated annealing (SA) and differential evolution (DE)—are applied to search the optimal design parameters of both types of TEC, which yielded cooling rates and coefficients of performance (COPs) individually and simultaneously. The optimization findings obtained by using SA and DE are validated by applying them in some defined test cases taking into consideration non-linear inequality and non-linear equality constraint conditions. The performance of SA and DE are verified after comparing the findings with the ones obtained applying the genetic algorithm (GA) and hybridization technique (HSAGA and HSADE). Mathematical modelling and parameter setting of TEC is combined with SA and DE to find better optimal findings. The work revealed that SA and DE can be applied successfully to solve single-objective and multi-objective TEC optimization problems. In terms of stability, reliability, robustness and computational efficiency, they provide better performance than GA. Multi-objective optimizations considering both objective functions are useful for the designer to find the suitable design parameters of TECs which balance the important roles of cooling rate and COP.

[1]  Á. Nemcsics,et al.  Investigation of electrochemically etched GaAs (001) surface with the help of image processing , 2009 .

[2]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[3]  Gerhard-Wilhelm Weber,et al.  Handbook of Research on Emergent Applications of Optimization Algorithms , 2017 .

[4]  Arash Bahrammirzaee,et al.  A comparative survey of artificial intelligence applications in finance: artificial neural networks, expert system and hybrid intelligent systems , 2010, Neural Computing and Applications.

[5]  Zong Woo Geem,et al.  Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review , 2013 .

[6]  Kim Choon Ng,et al.  Optimization of two-stage thermoelectric coolers with two design configurations , 2002 .

[7]  Luisa Franconi,et al.  Comparison of a genetic algorithm and simulated annealing in an application to statistical image reconstruction , 1997, Stat. Comput..

[8]  Deyun Wang,et al.  Differential evolution improved with self-adaptive control parameters based on simulated annealing , 2014, Swarm Evol. Comput..

[9]  Christian Blum,et al.  Hybrid Metaheuristics: An Introduction , 2008, Hybrid Metaheuristics.

[10]  O. Yamashita,et al.  Effect of Annealing on Thermoelectric Properties of Bismuth Telluride Compounds , 2003 .

[11]  Lishan Kang,et al.  Differential Evolution Algorithm Based on Simulated Annealing , 2007, ISICA.

[12]  R. Venkata Rao,et al.  Multi-objective optimization of two stage thermoelectric cooler using a modified teaching-learning-based optimization algorithm , 2013, Eng. Appl. Artif. Intell..

[13]  Gholamreza Karimi,et al.  Performance analysis of multi-stage thermoelectric coolers , 2011 .

[14]  Yi-Hsiang Cheng,et al.  Maximizing the cooling capacity and COP of two-stage thermoelectric coolers through genetic algorithm , 2006 .

[15]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[16]  Michel Gendreau,et al.  Hyper-heuristics: a survey of the state of the art , 2013, J. Oper. Res. Soc..

[17]  Gao Min,et al.  Design theory of thermoelectric modules for electrical power generation , 1996 .

[18]  Kalyanmoy Deb,et al.  Multi-objective Performance Optimization of Thermo-Electric Coolers Using Dimensional Structural Parameters , 2010, SEMCCO.

[19]  Mauricio G. C. Resende,et al.  Designing and reporting on computational experiments with heuristic methods , 1995, J. Heuristics.

[20]  Mohamed A. El-Sharkawi,et al.  Modern heuristic optimization techniques :: theory and applications to power systems , 2008 .

[21]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[22]  Yogendra Joshi,et al.  Downhole Electronics Cooling Using a Thermoelectric Device and Heat Exchanger Arrangement , 2011 .

[23]  Rob A. Rutenbar,et al.  Simulated annealing algorithms: an overview , 1989, IEEE Circuits and Devices Magazine.

[24]  Olympia Roeva,et al.  Population-Based vs. Single Point Search Meta-Heuristics for a PID Controller Tuning , 2014 .

[25]  Diana Enescu,et al.  A review on thermoelectric cooling parameters and performance , 2014 .

[26]  G. Tan,et al.  A review of thermoelectric cooling: Materials, modeling and applications , 2014 .

[27]  Sohrabi Babak A COMPARISON BETWEEN GENETIC ALGORITHM AND SIMULATED ANNEALING PERFORMANCE IN PREVENTIVE PART REPLACEMENT , 2006 .

[28]  I. Kim,et al.  Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation , 2006 .

[29]  Hui-Ming Wee,et al.  Metaheuristics Methods for Configuration of Assembly Lines: A Survey , 2014 .

[30]  Kalyanmoy Deb,et al.  Optimization for Engineering Design: Algorithms and Examples , 2004 .

[31]  Chin-Hsiang Cheng,et al.  Geometry optimization of thermoelectric coolers using simplified conjugate-gradient method , 2013 .

[32]  Yixin Chen,et al.  Optimal Anytime Constrained Simulated Annealing for Constrained Global Optimization , 2000, CP.

[33]  Emile H. L. Aarts,et al.  Performance of the simulated annealing algorithm , 1987 .

[34]  Osamu Yamashita,et al.  High-performance bismuth-telluride compounds with highly stable thermoelectric figure of merit , 2005 .

[35]  Pandian Vasant,et al.  Meta-Heuristics Optimization Algorithms in Engineering, Business, Economics, and Finance , 2012 .

[36]  Wei-Keng Lin,et al.  Geometric optimization of thermoelectric coolers in a confined volume using genetic algorithms , 2005 .

[37]  Christian Blum,et al.  Hybrid Metaheuristics, An Emerging Approach to Optimization , 2008, Hybrid Metaheuristics.

[38]  Seri Lee,et al.  cONSTRICTION/SPREADING RESISTANCE MODEL FOR ELECTRONICS PACKAGING , 1996 .

[39]  S. Sharma,et al.  Non-dimensional Multi-objective Performance Optimization of Single Stage Thermoelectric Cooler , 2010, SEAL.

[40]  Seyed Taghi Akhavan Niaki,et al.  A hybrid variable neighborhood search and simulated annealing algorithm to estimate the three parameters of the Weibull distribution , 2011, Expert Syst. Appl..

[41]  Pandian Vasant,et al.  HYBRID SIMULATED ANNEALING AND GENETIC ALGORITHMS FOR INDUSTRIAL PRODUCTION MANAGEMENT PROBLEMS , 2009 .

[42]  Patrick Siarry,et al.  A survey on optimization metaheuristics , 2013, Inf. Sci..

[43]  Qing Ling,et al.  A Differential Evolution with Simulated Annealing Updating Method , 2006, 2006 International Conference on Machine Learning and Cybernetics.

[44]  M. Dresselhaus,et al.  High-Thermoelectric Performance of Nanostructured Bismuth Antimony Telluride Bulk Alloys , 2008, Science.

[45]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[46]  Cheol Hoon Park,et al.  Hybrid genetic algorithm and simulated annealing (HGASA) in global function optimization , 2005, 17th IEEE International Conference on Tools with Artificial Intelligence (ICTAI'05).

[47]  H. Goldsmid,et al.  Introduction to Thermoelectricity , 2016 .

[48]  B. Babu,et al.  CHM-049 New Strategies Of Differential Evolution For Optimization Of Extraction Process , 2003 .

[49]  Weishan Zhang,et al.  An Evaluation of the NSGA-II and MOCell Genetic Algorithms for Self-Management Planning in a Pervasive Service Middleware , 2009, 2009 14th IEEE International Conference on Engineering of Complex Computer Systems.

[50]  A. Abraham,et al.  Simplex Differential Evolution , 2009 .

[51]  H. Goldsmid,et al.  The Thermoelectric and Related Effects , 2016 .

[52]  Peter Rodgers,et al.  Nanomaterials: silicon goes thermoelectric. , 2008, Nature nanotechnology.

[53]  Carlos A. Coello Coello,et al.  A comparative study of differential evolution variants for global optimization , 2006, GECCO.

[54]  José Salvador Sánchez,et al.  A literature review on the application of evolutionary computing to credit scoring , 2013, J. Oper. Res. Soc..

[55]  Pandian Vasant,et al.  Hybrid LS-SA-PS methods for solving fuzzy non-linear programming problems , 2013, Math. Comput. Model..

[56]  Sanjay Silakari,et al.  Survey of Metaheuristic Algorithms for Combinatorial Optimization , 2012 .