Lexicographic multi-objective optimization of thermoacoustic refrigerator’s stack
- Tartibu, L.K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Thermoacoustic , Stack , Cooling Load , Coefficient of performance , Multi-objective optimization , GAMS
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17624 , uj:15907 , ISSN: 0947-7411 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Lexicographic multi-objective optimisation of thermoacoustic refrigerator’s stack. Journal of Heat and Mass Transfer. 51(5): 649-660. DOI: 10.1007/s00231-014-1440-z. , DOI: 10.1007/s00231-014-1440-z
- Description: Abstract: This work develops a novel mathematical programming model to optimize the performance of a simple thermoacoustic refrigerator (TAR). This study aims to optimize the geometric parameters namely the stack position, the stack length, the blockage ratio and the plate spacing involved in designing TARs. System parameters and constraints that capture the underlying thermoacoustic dynamics have been used to define the models. The cooling load, the coefficient of performance and the acoustic power loss have been used to measure the performance of the device. The optimization task is formulated as a three-criterion nonlinear programming problem with discontinuous derivatives (DNLP). Since we optimize multiple objectives simultaneously, each objective component has been given a weighting factor to provide appropriate user-defined emphasis. A practical example is given to illustrate the approach. We have determined a design statement of a stack describing how the geometrical parameters describing would change if emphasis is given to one objective in particular. We also considered optimization of multiple objectives components simultaneously and identify global optimal solutions describing the stack geometry using a lexicographic multiobjective optimization scheme. Additionally, this approach illustrates the difference between a design for maximum cooling and best coefficient of performance of a simple TAR.
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- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Thermoacoustic , Stack , Cooling Load , Coefficient of performance , Multi-objective optimization , GAMS
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17624 , uj:15907 , ISSN: 0947-7411 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Lexicographic multi-objective optimisation of thermoacoustic refrigerator’s stack. Journal of Heat and Mass Transfer. 51(5): 649-660. DOI: 10.1007/s00231-014-1440-z. , DOI: 10.1007/s00231-014-1440-z
- Description: Abstract: This work develops a novel mathematical programming model to optimize the performance of a simple thermoacoustic refrigerator (TAR). This study aims to optimize the geometric parameters namely the stack position, the stack length, the blockage ratio and the plate spacing involved in designing TARs. System parameters and constraints that capture the underlying thermoacoustic dynamics have been used to define the models. The cooling load, the coefficient of performance and the acoustic power loss have been used to measure the performance of the device. The optimization task is formulated as a three-criterion nonlinear programming problem with discontinuous derivatives (DNLP). Since we optimize multiple objectives simultaneously, each objective component has been given a weighting factor to provide appropriate user-defined emphasis. A practical example is given to illustrate the approach. We have determined a design statement of a stack describing how the geometrical parameters describing would change if emphasis is given to one objective in particular. We also considered optimization of multiple objectives components simultaneously and identify global optimal solutions describing the stack geometry using a lexicographic multiobjective optimization scheme. Additionally, this approach illustrates the difference between a design for maximum cooling and best coefficient of performance of a simple TAR.
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Multi-objective optimization of the stack of a thermoacoustic engine using GAMS
- Tartibu, L.K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2014
- Subjects: Thermoacoustics engine , Multi-objective optimization , GAMS , Mathematical programming
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17579 , uj:15902 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Multi-objective optimisation of a thermoacoustic regenerator using GAMS. Journal of Applied Soft Computing, 28: 30–43.
- Description: Abstract: tThis work illustrates the use of a multi-objective optimization approach to model and optimize theperformance of a simple thermoacoustic engine. System parameters and constraints that capture theunderlying thermoacoustic dynamics have been used to define the model. Work output, viscous loss,conductive heat loss, convective heat loss and radiative heat loss have been used to measure the per-formance of the engine. The optimization task is formulated as a five-criterion mixed-integer non-linearprogramming problem. Since we optimize multiple objectives simultaneously, each objective componenthas been given a weighting factor to provide appropriate user-defined emphasis. A practical example isgiven to illustrate the approach. We have determined a design statement of a stack describing how thedesign would change if emphasis is given to one objective in particular. We also considered optimiza-tion of multiple objectives components simultaneously and identify global optimal solutions describingthe stack geometry using the augmented ε-constraint method. This approach has been implemented inGAMS (General Algebraic Modelling System).
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- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2014
- Subjects: Thermoacoustics engine , Multi-objective optimization , GAMS , Mathematical programming
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17579 , uj:15902 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Multi-objective optimisation of a thermoacoustic regenerator using GAMS. Journal of Applied Soft Computing, 28: 30–43.
- Description: Abstract: tThis work illustrates the use of a multi-objective optimization approach to model and optimize theperformance of a simple thermoacoustic engine. System parameters and constraints that capture theunderlying thermoacoustic dynamics have been used to define the model. Work output, viscous loss,conductive heat loss, convective heat loss and radiative heat loss have been used to measure the per-formance of the engine. The optimization task is formulated as a five-criterion mixed-integer non-linearprogramming problem. Since we optimize multiple objectives simultaneously, each objective componenthas been given a weighting factor to provide appropriate user-defined emphasis. A practical example isgiven to illustrate the approach. We have determined a design statement of a stack describing how thedesign would change if emphasis is given to one objective in particular. We also considered optimiza-tion of multiple objectives components simultaneously and identify global optimal solutions describingthe stack geometry using the augmented ε-constraint method. This approach has been implemented inGAMS (General Algebraic Modelling System).
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Optimal design study of thermoacoustic regenerator with lexicographic optimization method
- Tartibu, L.K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Design , Implementing , Managing and practicing innovation , Optimization algorithms , Mechanical design , Modelling , Multi-objective/attribute decision-making , Design strategies
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17471 , uj:15887 , ISSN: 1726-0531 , Citation: Tartibu, L.K. Sun, B. & Kaunda, M.A.E. 2015. Optimal design study of thermoacoustic regenerator with lexicographic optimization method. Journal of Engineering, Design and Technology, 13(3): 499 – 519. , DOI: 10.1108/JEDT-09-2012-0039.
- Description: Abstract: Purpose – This paper aims to illustrate the use of the augmented epsilon-constraint method implemented in general algebraic modelling system (GAMS), aimed at optimizing the geometry of a thermoacoustic regenerator. Thermoacoustic heat engines provide a practical solution to the problem of heat management where heat can be pumped or spot cooling can be produced. However, the most inhibiting characteristic of thermoacoustic cooling is their current lack of efficiencies. Design/methodology/approach – Lexicographic optimization is presented as an alternative optimization technique to the common used weighting methods. This approach establishes a hierarchical order among all the optimization objectives instead of giving them a specific (and most of the time, arbitrary) weight. Findings – A practical example is given, in a hypothetical scenario, showing how the proposed optimization technique may help thermoacoustic regenerator designers to identify Pareto optimal solutions when dealing with geometric parameters. This study highlights the fact that the geometrical parameters are interdependent, which support the use of a multi-objective approach for optimization in thermoacoustic. Originality/value – The research output from this paper can be a valuable resource to support designers in building efficient thermoacoustic device. The research illustrates the use of a lexicographic optimization to provide more meaningful results describing the geometry of thermoacoustic regenerator. It applies the epsilon-constraint method (AUGMENCON) to solve a five-criteria mixed integer non-linear problem implemented in GAMS (GAM software).
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- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Design , Implementing , Managing and practicing innovation , Optimization algorithms , Mechanical design , Modelling , Multi-objective/attribute decision-making , Design strategies
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/10210/17471 , uj:15887 , ISSN: 1726-0531 , Citation: Tartibu, L.K. Sun, B. & Kaunda, M.A.E. 2015. Optimal design study of thermoacoustic regenerator with lexicographic optimization method. Journal of Engineering, Design and Technology, 13(3): 499 – 519. , DOI: 10.1108/JEDT-09-2012-0039.
- Description: Abstract: Purpose – This paper aims to illustrate the use of the augmented epsilon-constraint method implemented in general algebraic modelling system (GAMS), aimed at optimizing the geometry of a thermoacoustic regenerator. Thermoacoustic heat engines provide a practical solution to the problem of heat management where heat can be pumped or spot cooling can be produced. However, the most inhibiting characteristic of thermoacoustic cooling is their current lack of efficiencies. Design/methodology/approach – Lexicographic optimization is presented as an alternative optimization technique to the common used weighting methods. This approach establishes a hierarchical order among all the optimization objectives instead of giving them a specific (and most of the time, arbitrary) weight. Findings – A practical example is given, in a hypothetical scenario, showing how the proposed optimization technique may help thermoacoustic regenerator designers to identify Pareto optimal solutions when dealing with geometric parameters. This study highlights the fact that the geometrical parameters are interdependent, which support the use of a multi-objective approach for optimization in thermoacoustic. Originality/value – The research output from this paper can be a valuable resource to support designers in building efficient thermoacoustic device. The research illustrates the use of a lexicographic optimization to provide more meaningful results describing the geometry of thermoacoustic regenerator. It applies the epsilon-constraint method (AUGMENCON) to solve a five-criteria mixed integer non-linear problem implemented in GAMS (GAM software).
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Optimal design of a standing wave thermoacoustic refrigerator using GAMS
- Tartibu, L.K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Thermoacoustic refrigerator , Coefficient of Performance , Cooling , Multi-objective optimization , GAMS
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17707 , uj:15915 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Optimal design of a standing wave thermoacoustic refrigerator using GAMS. Procedia Computer Science, 62, 611-618. The 2015 International Conference on Soft Computing and Software Engineering, 5-6 March, 2015, University of California, Berkeley.
- Description: Abstract: This work proposes a multi-objective optimization approach to model and optimize small scale standing wave thermoacoustic refrigerator (TAR). This study aims to optimize the geometric variables namely the stack position, the stack length, the blockage ratio and the plate spacing involved in designing thermoacoustic refrigerators. Unlike most previous studies, these variables are considered interdependent. System parameters and constraints that capture the underlying thermoacoustic dynamics have been used to define the models. The cooling load, the coefficient of performance and the acoustic power loss have been used to measure the performance of the device. The optimization task is formulated as a three-criterion nonlinear programming problem with discontinuous derivatives (DNLP). A practical example considering three different gases is given to illustrate the approach. This approach has been implemented in the software GAMS (General Algebraic modelling System) and Pareto optimal solutions describing the most preferred geometry for maximum performance of the device are computed using the augmented -constraint method.
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- Authors: Tartibu, L.K. , Sun, B. , Kaunda, M.A.E.
- Date: 2015
- Subjects: Thermoacoustic refrigerator , Coefficient of Performance , Cooling , Multi-objective optimization , GAMS
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17707 , uj:15915 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2015. Optimal design of a standing wave thermoacoustic refrigerator using GAMS. Procedia Computer Science, 62, 611-618. The 2015 International Conference on Soft Computing and Software Engineering, 5-6 March, 2015, University of California, Berkeley.
- Description: Abstract: This work proposes a multi-objective optimization approach to model and optimize small scale standing wave thermoacoustic refrigerator (TAR). This study aims to optimize the geometric variables namely the stack position, the stack length, the blockage ratio and the plate spacing involved in designing thermoacoustic refrigerators. Unlike most previous studies, these variables are considered interdependent. System parameters and constraints that capture the underlying thermoacoustic dynamics have been used to define the models. The cooling load, the coefficient of performance and the acoustic power loss have been used to measure the performance of the device. The optimization task is formulated as a three-criterion nonlinear programming problem with discontinuous derivatives (DNLP). A practical example considering three different gases is given to illustrate the approach. This approach has been implemented in the software GAMS (General Algebraic modelling System) and Pareto optimal solutions describing the most preferred geometry for maximum performance of the device are computed using the augmented -constraint method.
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Geometric optimization of micro-thermoacoustic cooler for heat management in electronics
- Tartibu, K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, K. , Sun, B. , Kaunda, M.A.E.
- Date: 2013
- Subjects: Micro-thermoacoustic cooler , Heat management , Geometric optimization
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17493 , uj:15890 , ISBN: 978-1-4673-4569-9 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2013. Geometric optimisation of micro-thermoacoustic cooler for heat management in electronics. IEEE International Conference on Industrial Technology (ICIT), 2013, Cape Town, South Africa, 527 – 532.
- Description: Abstract: As a result of miniaturisation, electronic products are shrinking in size and weight but with greater pressure for cost reduction. Heat fluxes have increased considerably and hence thermal management becomes crucial from the reliability point of view. Thermoacoustic heat engines provide a practical solution to the problem of heat management in microcircuits where they can be used to pump heat or produce spot cooling of specific circuit elements. However, the most inhibiting characteristic of thermoacoustic cooling is its current lack of efficiency. A multiobjective optimization approach is presented to model and optimize a small-scale thermoacoustic regenerator. Optimization of multiple objectives components is considered and global optimal solutions have been identified using the epsilon constraint method.
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- Authors: Tartibu, K. , Sun, B. , Kaunda, M.A.E.
- Date: 2013
- Subjects: Micro-thermoacoustic cooler , Heat management , Geometric optimization
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17493 , uj:15890 , ISBN: 978-1-4673-4569-9 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2013. Geometric optimisation of micro-thermoacoustic cooler for heat management in electronics. IEEE International Conference on Industrial Technology (ICIT), 2013, Cape Town, South Africa, 527 – 532.
- Description: Abstract: As a result of miniaturisation, electronic products are shrinking in size and weight but with greater pressure for cost reduction. Heat fluxes have increased considerably and hence thermal management becomes crucial from the reliability point of view. Thermoacoustic heat engines provide a practical solution to the problem of heat management in microcircuits where they can be used to pump heat or produce spot cooling of specific circuit elements. However, the most inhibiting characteristic of thermoacoustic cooling is its current lack of efficiency. A multiobjective optimization approach is presented to model and optimize a small-scale thermoacoustic regenerator. Optimization of multiple objectives components is considered and global optimal solutions have been identified using the epsilon constraint method.
- Full Text:
Multiobjective optimization of a thermoacoustic regenerator
- Tartibu, K., Sun, B., Kaunda, M.A.E.
- Authors: Tartibu, K. , Sun, B. , Kaunda, M.A.E.
- Date: 2012
- Subjects: Thermoacoustics , Multiobjective optimization , GAMS , Mathematical programming
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17923 , uj:15940 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2012. Multi-objective optimization of a thermoacoustic regenerator. ASSAF Third Annual South African Young Scientists’ Conference, 16-18 October, 2012, Pretoria, South Africa.
- Description: Abstract: This paper presents a new mathematical approach for optimizing the geometry of a thermoacoustic regenerator, aimed at producing efficient thermoacoustic engines. Optimal set of parameters describing the device are computed for a chosen thermoacoustic couple to illustrate this approach. Hence, a non-linear multiobjective problem is formulated in GAMS and solved using Lindoglobal solver. Lexicographic optimization is presented as an alternative optimization technique to the common used weighting methods. This approach establishes a hierarchical order among all the optimization objectives instead of giving them a specific (and most of the time, arbitrary) weight. In this work, the optimization criteria are chosen as work output, viscous resistance as well as thermal losses that are typically disregarded when modeling the device. A practical example is given, in a hypothetical scenario, showing how the proposed optimization technique may help thermoacoustic regenerator designers to identify Pareto optimal solutions when dealing with geometric parameters.
- Full Text:
- Authors: Tartibu, K. , Sun, B. , Kaunda, M.A.E.
- Date: 2012
- Subjects: Thermoacoustics , Multiobjective optimization , GAMS , Mathematical programming
- Language: English
- Type: Conference proceedings
- Identifier: http://hdl.handle.net/10210/17923 , uj:15940 , Citation: Tartibu, L.K., Sun, B. & Kaunda M.A.E. 2012. Multi-objective optimization of a thermoacoustic regenerator. ASSAF Third Annual South African Young Scientists’ Conference, 16-18 October, 2012, Pretoria, South Africa.
- Description: Abstract: This paper presents a new mathematical approach for optimizing the geometry of a thermoacoustic regenerator, aimed at producing efficient thermoacoustic engines. Optimal set of parameters describing the device are computed for a chosen thermoacoustic couple to illustrate this approach. Hence, a non-linear multiobjective problem is formulated in GAMS and solved using Lindoglobal solver. Lexicographic optimization is presented as an alternative optimization technique to the common used weighting methods. This approach establishes a hierarchical order among all the optimization objectives instead of giving them a specific (and most of the time, arbitrary) weight. In this work, the optimization criteria are chosen as work output, viscous resistance as well as thermal losses that are typically disregarded when modeling the device. A practical example is given, in a hypothetical scenario, showing how the proposed optimization technique may help thermoacoustic regenerator designers to identify Pareto optimal solutions when dealing with geometric parameters.
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