Global Transformer Design Optimization Using Deterministic and Nondeterministic Algorithms

Amoiralis, Eleftherios I.; Tsili, Marina A.; Paparigas, Dimitrios G.; Kladas, Antonios G.

doi:10.1109/tia.2013.2288417

Cited by 37 publications

(39 citation statements)

References 25 publications

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“…Transformer design optimization (TDO) is a mixed-integer nonlinear programming problem having a complex and discontinuous objective function and constraints, with the objective of detailed calculation of the characteristics of a transformer based on national and/or international standards and transformer user requirements, using available materials and manufacturing processes, to minimize the manufacturing cost or total owning cost (TOC) while maximizing operating performance [1,4].…”

Section: Transformer Design Optimizationmentioning

confidence: 99%

“…It is clearly stated in the literature that global transformer design optimization is still an appealing research area since several approaches for its accomplishment have yet to be explored [4].…”

Section: Transformer Design Optimizationmentioning

confidence: 99%

“…where c j and f j are the unit cost (USD / kg) and the weight (kg) of each component j of the eight main materials, and ⃗ x is the vector of the design variables [4]. The eight main materials and their unit costs are LV winding material (12.01 USD/kg), HV winding material (12.01 USD/kg), core material (6.01 USD/kg), insulating paper (7.72 USD/kg), duct strips (8.58 USD/kg), insulating liquid (1.72 USD/kg), tank sheet steel Design variables are similar to those given in [12]; however, based on our experience in the transformer industry, two more were added to have the result in a single run instead of having several runs for different combinations of these two parameters.…”

Section: Objective Function Design Variables and Constraintsmentioning

confidence: 99%

See 2 more Smart Citations

Design optimization of distribution transformers with nature-inspired metaheuristics: a comparative analysis

Alhan¹,

Yumuşak²

2017

Turk J Elec Eng & Comp Sci

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Many economies in the world have adopted energy-efficiency requirements or incentive programs mandating or promoting the use of energy-efficient transformers. On the other hand, increases in transformer efficiency are subject to increases in transformer weight and size, sometimes as much as 50% or more. The transformer manufacturing industry is therefore faced with the challenge to develop truly optimum designs. Transformer design optimization (TDO) is a mixedinteger nonlinear programming problem having a complex and discontinuous objective function and constraints, with the objective of detailed calculation of the characteristics of a transformer based on national and/or international standards and transformer user requirements, using available materials and manufacturing processes, to minimize manufacturing cost or total owning cost while maximizing operating performance. This paper gives a detailed comparative analysis of the application of five modern nature-inspired metaheuristic optimization algorithms for the solution of the TDO problem, demonstrated on three test cases, and proposes two algorithms, for which it has been verified that they possess guaranteed global convergence properties in spite of their inherent stochastic nature. A pragmatic benchmarking scheme is used for comparison of the algorithms. It is expected that the use of these two algorithms would have a significant contribution to the reduction of the design and manufacturing costs of transformers.

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Section: Transformer Design Optimizationmentioning

confidence: 99%

Section: Transformer Design Optimizationmentioning

confidence: 99%

Section: Objective Function Design Variables and Constraintsmentioning

confidence: 99%

See 1 more Smart Citation

Design optimization of distribution transformers with nature-inspired metaheuristics: a comparative analysis

Alhan¹,

Yumuşak²

2017

Turk J Elec Eng & Comp Sci

View full text Add to dashboard Cite

show abstract

“…where c j and f j are the unit cost (USD / kg) and the weight (kg) of each component j of the eight main materials listed in Table 1, and ⃗ x is the vector of the design variables [3].…”

Section: Objective Function Design Variables and Constraintsmentioning

confidence: 99%

“…Transformer design optimization (TDO) is defined in the literature as a mixed-integer nonlinear programming problem having complex and discontinuous objective functions and constraints, with the objective of the detailed calculation of the characteristics of a transformer based on national and/or international standards and transformer user requirements, using available materials and manufacturing processes, to minimize manufacturing cost or total owning cost (TOC), while maximizing operating performance [2,3].…”

Section: Introductionmentioning

confidence: 99%

Discrete design optimization of distribution transformers with guaranteed optimum convergence using the cuckoo search algorithm

Alhan¹,

Yumuşak²

2017

Turk J Elec Eng & Comp Sci

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Abstract:Transformer design optimization methods presented in the literature rarely yield solutions directly applicable in production; the design engineer usually needs to convert the theoretical solution to a practical one. This problem is addressed in this paper, and a discrete transformer design optimization method is proposed that yields solutions with commercially available or productionally feasible dimensions, thus eliminating the need for further efforts of the design engineer to make the theoretical solution a feasible one. The cuckoo search, a nature-inspired metaheuristic algorithm, is used as the optimization algorithm in this study, and it is shown that the guaranteed global optimum solution is attained in a single run. Furthermore, a simple method is proposed to reduce the number of objective function and constraint calculations. The method is based on skipping calculations for design vectors recurring during the search process by use a caching technique. It is envisaged that the use of the proposed method will make a significant contribution to the streamlining of the quotation and design processes in the transformer industry as well as standardization of production materials.

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Design optimization of distribution transformers by minimizing the total owning cost

Noia

Lauria

Mottola

et al. 2017

Int Trans Electr Energ Syst

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Summary This paper presents a new optimization problem for the design of distribution transformers under the strict requirements on energy efficiency imposed by modern standards and directives. The proposed methodology is devoted to the minimization of the total owning cost of the transformer while meeting a set of constraints that includes all the phenomena implied in the transformer operation. In particular, both electromagnetic and thermal aspects are considered and their relationships with electrical and geometrical variables are accurately detailed. Furthermore, the power losses in both core and windings are accurately derived and the limitations imposed by the standards are taken into account by imposing proper constraints. The generality of the proposal allows considering different technological solutions in material used for the core. The results proposed in the numerical applications showed the effectiveness of the proposed procedure and permitted highlighting the feasibility of different solutions.

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Global Transformer Design Optimization Using Deterministic and Nondeterministic Algorithms

Cited by 37 publications

References 25 publications

Design optimization of distribution transformers with nature-inspired metaheuristics: a comparative analysis

Design optimization of distribution transformers with nature-inspired metaheuristics: a comparative analysis

Discrete design optimization of distribution transformers with guaranteed optimum convergence using the cuckoo search algorithm

Design optimization of distribution transformers by minimizing the total owning cost

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