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).
- Full Text:
- 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).
- 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.
- Full Text:
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