Adaptive level set method for accurate boundary shape in optimization of electromagnetic systems

Lee, Kang Hyouk; Hong, Seung Geon; Baek, Minki; Choi, Heung Sik; Kim, Young Sun; Park, Il Han

doi:10.1108/compel-10-2012-0218

Cited by 21 publications

(5 citation statements)

References 6 publications

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“…The discrete adjoint variable method [91]- [93] and continuum adjoint variable method [94]- [97] outperform the finite difference methods in the number of required objective function evaluations at each step [85]. Unlike finite difference methods, they obtain the objective function gradient with respect to all design parameters using one additional simulation for each iteration [88], [91], [98].…”

Section: Central Finite Difference F(x) Figure 18 a Clarification Of The Finite Difference Methodsmentioning

confidence: 99%

“…This method obtains sensitivity by differentiating the governing variational equation before discretization. The sensitivity formulas are formed using the material derivative concept of the continuum mechanics and based on the analytical equations of the state and the adjoint variables as described in [94] and [95].…”

Section: Central Finite Difference F(x) Figure 18 a Clarification Of The Finite Difference Methodsmentioning

confidence: 99%

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Geometry and Topology Optimization of Switched Reluctance Machines: A Review

Abdalmagid

Sayed²,

Bakr

et al. 2022

IEEE Access

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Switched reluctance machines (SRMs) have recently attracted more interest in many applications due to the volatile prices of rare-earth permanent magnets (PMs) used in permanent magnet synchronous machines (PMSMs). They also have rugged construction and can operate at high speeds and high temperatures. However, acoustic noise and high torque ripples, in addition to the relatively low torque density, present significant challenges. Geometry and topology optimization are applied to overcome these challenges and enable SRMs to compete with PMSMs. Key geometric design parameters are optimized to minimize various objective functions within geometry optimization. On the other hand, the material distribution in a particular design space within the machine domain may be optimized using topology optimization. We discuss how these techniques are applied to optimize the geometries and topologies of SRMs to enhance machine performance. As optimizing the machine geometry and material distribution at the design phase is of substantial significance, this work offers a comprehensive literature review on the current state of the art and the possible trends in the optimization techniques of SRMs. The paper also reviews different configurations of SRMs and stochastic and deterministic optimization techniques utilized in optimizing different configurations of the machine.

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Section: Central Finite Difference F(x) Figure 18 a Clarification Of The Finite Difference Methodsmentioning

confidence: 99%

Section: Central Finite Difference F(x) Figure 18 a Clarification Of The Finite Difference Methodsmentioning

confidence: 99%

Geometry and Topology Optimization of Switched Reluctance Machines: A Review

Abdalmagid

Sayed²,

Bakr

et al. 2022

IEEE Access

View full text Add to dashboard Cite

show abstract

“…Furthermore, by using the computation program for high voltage electric field automatic optimization, a new uniform field electrode profile was obtained as a replacement of the 3D dimensional finite difference method profile. Other optimum 3D dimensional axisymmetric electrode profiles are also obtained which are enclosed with metallic coaxial cylinder [9,10].…”

Section: P R E V I E Wmentioning

confidence: 99%

Finite difference method for electric field optimization in high voltage power transformer bushings using engineering simulation and 3D design program

Pamuk

2021

International Advanced Researches and Engineering Journal

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The electric field optimization minimizing the field strength on an electrode surface and providing its uniformity is important in designing high voltage power transformer bushings and other apparatus from the viewpoint of efficient utilization of the electric field space. The high voltage power transformer bushing with cylinder electrode system has been designed and tested in this investigation. It was found that the insulation method of the cylinder electrode was the most important factor to lower streamer initiation voltage. The optimized design uses both internal and external elements for electric stress grading at critical parts of the bushing. Applying optimization theory based on charge simulation method, the author developed a computation program for electric field automatic optimization in 3D dielectric axisymmetric field. The results of the computation realized some excellent electrode profiles with uniform electric field distribution. Moreover, the discrepancy from the electric field uniformity on 3D dimensional profile caused by applying it to an axisymmetric electrode was discussed. Then a new electrode with uniform field distribution was obtained by using the computation program for optimization.

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“…After the shape deformation, the finite element mesh is regenerated to match the material interface with the boundaries of finite elements. This technique is called the adaptive level set method and allows the interface to clearly distinguish between different materials (Lee et al 2014;Park 2019). The numerical analysis of the superconducting system is performed again, and the iterative procedure is continued until the convergence criterion is attained.…”

Section: Optimization Schemementioning

confidence: 99%

Continuum sensitivity and design optimization of superconducting systems under critical current densities with magnetic field dependence

Seo

Coombs

Park

2021

Struct Multidisc Optim

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This paper presents an approach for deriving the continuum sensitivity of superconducting systems operating at critical current densities and an optimization method based on the continuum sensitivity. In the sensitivity problem, the superconducting systems is represented by a variational state equation, wherein the magnetic permeability depends on the magnetic field, which is transformed from a state equation with a field-dependent source. The design sensitivity is derived using the material derivative concept of continuum mechanics and the adjoint variable method. The adjoint system has a material property represented as a symmetric tensor that contains the sensitivity of the current density with respect to the magnetic field. The design sensitivity is represented in the analytical form of a surface integral on the interface between the superconducting material and its surroundings, which depends on the sensitivity of the current density. The optimization scheme is constructed based on the continuum design sensitivity. In the design optimization, the level set method is used to express the shape variation of the superconducting materials. The numerical example of infinite solenoids demonstrates that the design sensitivity provides an accurate design solution considering the critical current condition. In addition, the design example of a magnetic resonance imaging solenoid shows that the derived design sensitivity has the inherent ability for attaining the compact design by treating the input current of a superconducting system as a critical condition.

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Adaptive level set method for accurate boundary shape in optimization of electromagnetic systems

Cited by 21 publications

References 6 publications

Geometry and Topology Optimization of Switched Reluctance Machines: A Review

Geometry and Topology Optimization of Switched Reluctance Machines: A Review

Finite difference method for electric field optimization in high voltage power transformer bushings using engineering simulation and 3D design program

Continuum sensitivity and design optimization of superconducting systems under critical current densities with magnetic field dependence

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