• Journal of the Computational Structural Engineering Institute of Korea
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• v.32 no.4
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• pp.249-256
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• 2019

This paper presents an optimization framework of electrical impedance tomography for characterizing electrical conductivity profiles of concrete structures in two dimensions. The framework utilizes a partial-differential-equation(PDE)-constrained optimization approach that can obtain the spatial distribution of electrical conductivity using measured electrical potentials from several electrodes located on the boundary of the concrete domain. The forward problem is formulated based on a complete electrode model(CEM) for the electrical potential of a medium due to current input. The CEM consists of a Laplace equation for electrical potential and boundary conditions to represent the current inputs to the electrodes on the surface. To validate the forward solution, electrical potential calculated by the finite element method is compared with that obtained using TCAD software. The PDE-constrained optimization approach seeks the optimal values of electrical conductivity on the domain of investigation while minimizing the Lagrangian function. The Lagrangian consists of least-squares objective functional and regularization terms augmented by the weak imposition of the governing equation and boundary conditions via Lagrange multipliers. Enforcing the stationarity of the Lagrangian leads to the Karush-Kuhn-Tucker condition to obtain an optimal solution for electrical conductivity within the target medium. Numerical inversion results are reported showing the reconstruction of the electrical conductivity profile of a concrete specimen in two dimensions.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.26 no.6
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• pp.409-413
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• 2013

In this paper, we device stress-diffusion full coupling multiscale analysis method for battery electrode simulation. In proposed method, the diffusive and mechanical properties of electrode material depend on Li concentration are estimated using density function theory(DFT) simulation. Then, stress-diffusion full coupling continuum formulation based on finite element method(FEM) is constructed with the diffusive and mechanical properties calculated from DFT simulation. Finally, silicon nanowire anode charge and discharge simulations are performed using the proposed method. Through numerical examples, the stress-diffusion full coupling method shows more resonable results than previous one way continuum analysis.

• Proceedings of the KIEE Conference
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• 2009.07a
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• pp.1358_1359
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• 2009

가스 절연 개폐장치(Gas Insulated Switchgear : GIS)의 고체 스페이서에 경사기능성 재료(Functionally Graded Material : FGM)를 적용할 때, 전계의 완화를 예상할 수 있다. 특히, 균일 유전율 분포를 가지는 스페이서에서 양극 근처에 집중된 높은 전계가 FGM 스페이서를 사용할 때, 스페이서와 $SF_6$ 가스의 접촉부로 옮겨지며, 그 크기가 완화됨을 확인할 수 있었다[1]. 본 연구에서는 상용 고체 스페이서의 양극 부근에서의 전계 집중을 감소시키기 위해 전극 형상의 최적화를 수행하였다. 최적화 기법으로는 완전계승계획법(Full Factorial Design : FFD)과 결합된 반응표면법(Response Surface Method : RSM)을 이용하였으며, 균일 유전율 스페이서에서 양극 형상을 최적화하였다. 또한 타원형 유전율 분포를 가지는 FGM 스페이서를 이용함으로써, 상용 GIS 모델에 비해 최대 전계가 크게 완화될 수 있음을 확인하였으며, 상용 GIS의 외함부의 크기를 줄여 실제 소형화 가능 여부를 확인하였다.

• Journal of IKEEE
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• v.19 no.3
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• pp.407-414
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• 2015

Electrical impedance tomography is an imaging technique to reconstruct the internal conductivity distribution based on applied small currents and measured voltages through an array of electrodes attached on the boundary of a domain of interest. In this paper, an analytical solver with complete electrode model is derived and the analytical voltage data are calculated. Moreover, the voltage data are also computed with existing numerical solvers such as finite element method and boundary element method. The forward solutions using homogeneous and inhomogeneous conditions are compared with phantom experiments through the root mean square errors.