Hole Sensitivity Analysis for Topology Optimization in Electrostatic System Using Virtual Hole Concept and Shape Sensitivity

Lee, Kang Hyouk; Hong, Seung Geon; Baek, Minki; Park, Il Han

doi:10.1109/tmag.2015.2499260

Cited by 12 publications

(6 citation statements)

References 6 publications

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“…This is based on the idea that to reduce the influence of hole creation as much as possible the element which has the minimum value should be selected. This method is called “topological derivative” (Eschenauer et al , 1994; Yamasaki et al , 2007; Hong et al , 2015; Lee et al , 2016).…”

Section: Methods Of Creating Holementioning

confidence: 99%

Topology optimization of magnetic shielding using level-set function combined with element-based topological derivatives

Hoshino

Okamoto

Wakao

2018

COMPEL

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PurposeShape optimization using the level-set method is one of the most effective automatic design tools for electromagnetic machines. While level-set method has the advantage of being able to suppress unfeasible shape, it has a weakness of being unable to handle complex topology changes such as perforate at material region. With this method, it is only possible to define simple connected topology, and it is difficult to determine the optimal shape which has holes. Therefore, it is important to efficiently expand the searching area in the optimization process with level-set method. Design/methodology/approachIn this paper, the authors introduce the newly defined hole sensitivity which is based on concept of topological derivatives, and combine it with level-set method to effectively create holes in the search process. Furthermore, they consider a variable bandwidth of gray scale, which indicates the transition width between air and magnetic body and combine it with the hole creation method described above. With these methods, the authors aim to expand the searching area in comparison with the conventional level-set method. FindingsAs a result of applying the proposed methods to a magnetic shielding problem, the multi-layered shielding which effectively reduces the magnetic flux in the target area, is successfully produced. Originality/valueThe proposed methods enable us to effectively create a hole and to expand the searching area in the topology optimization process unlike in the case of conventional level-set method.

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Section: Methods Of Creating Holementioning

confidence: 99%

Topology optimization of magnetic shielding using level-set function combined with element-based topological derivatives

Hoshino

Okamoto

Wakao

2018

COMPEL

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“…where F(x) is the electric field at the coordinate x in a 3D design space (and not a point on the x-axis). Considering a discretized domain with n e number of elements, Ω is the region where the material exists in the design space given by Equation (4).…”

Section: Topology Optimization For Electrostatic Problemsmentioning

confidence: 99%

Introduction to Topology Optimization for the Design of High Voltage Insulators

Sriram,

Varadaraju,

Gupta

2024

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High Voltage insulators play a vital role in power transmission systems and are subjected to combined electrical, mechanical, and thermal stress. Common design strategies for HV insulators involve semi-analytical methods and Finite Element Analyses (FEA) to arrive at designs that meet the required design and manufacturing criteria. Topology Optimization (TO) is a design strategy widely adopted to minimize the weight and volume of the design while retaining its performance. In this work, we propose a modification to the traditional TO process to maximize the combined electrical and structural performance of HV insulators. This modification incorporates electric field considerations into the T.O. process.

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“…The mutual inductance is maximized by maximizing the flux linkage of receiver winding. Thus, the objective function in this example is defined as the flux linkage of receiver winding; (14) and Aw is the area of the receiver winding. Fig.…”

Section: B Inductive Power Transfermentioning

confidence: 99%

“…However, this could lead to a strong dependence on the initial design [11]. To address this problem, different approaches have been proposed [12]- [14]. The topological derivative (TD) approach is a popular mechanism to enable hole creations in the direct LS method by combining a fixed point method with the natural extension of the classic shape gradient [15].…”

Section: Introductionmentioning

confidence: 99%

A Novel Topology Optimization Methodology Based on Energy Minimization Via α-β Swap Move

Xia

Yang

2020

IEEE Access

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To facilitate the creation of new holes and to prevent simultaneously a checkerboard pattern in a topology optimization (TO) procedure, a novel TO methodology based on energy minimization via α-β swap is proposed. An energy function, measuring simultaneously the accuracy and piecewise smoothness of a new topology, is proposed and employed to determine the optimal way to update the current topology. Also, the proposed alpha-beta swap operations enable different materials to be exchanged with one another, and thus can create new holes naturally without including any additional mechanism. Moreover, the embedded smooth term in the energy function is capable of constraining the irregularity of the topology and thus hindering the checkboard pattern. Two case studies, an inductive power transfer system and a printed circuit board (PCB) to demonstrate the feasibility and advantage of the proposed methodology. The tools used for the two case studies include Matlab and Ansys. As demonstrated by the numerical results, the proposed methodology outperforms conventional methods in terms of both enhancing the performance parameter and constraining the checkerboard pattern.

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Hole Sensitivity Analysis for Topology Optimization in Electrostatic System Using Virtual Hole Concept and Shape Sensitivity

Cited by 12 publications

References 6 publications

Topology optimization of magnetic shielding using level-set function combined with element-based topological derivatives

Topology optimization of magnetic shielding using level-set function combined with element-based topological derivatives

Introduction to Topology Optimization for the Design of High Voltage Insulators

A Novel Topology Optimization Methodology Based on Energy Minimization Via α-β Swap Move

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