Sensitivity of Lumped Parameters to Geometry Changes in Finite Element Models

Schuhmacher, Sebastian; Potratz, C.; Klaedtke, Andreas; Gersem, Herbert De

doi:10.1007/978-3-319-75538-0_4

Cited by 1 publication

(4 citation statements)

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“…The electrostatic (ES) extraction of a capacitance matrix

boldC

and computation of capacitive sensitivities

d boldC / {dp}_{i}

presented by Schuhmacher et al 6 is much less involved than the extraction of resistances and inductances and their sensitivity analysis as discussed in Sections 2 and 3. However, since Schuhmacher et al do not treat the general case of an arbitrary number of conductors and terminals, a brief discussion of the general method is given here for completeness.…”

Section: Capacitance Extraction and Capacitive Sensitivity Computationmentioning

confidence: 99%

“…For the computation of the capacitive sensitivities

normald C / normald p_{i}

Schuhmacher et al 6 show that only the derivative of the linear operator has to be considered as the sensitivities do not depend on the derivatives of the DOF vector

bold-italicφ

. For the case of an arbitrary number of conductors this yields

\frac{{italicdC}_{italicjk}}{{italicdp}_{i}} goodbreak= goodbreak- \frac{1}{2 φ_{0}^{2}} φ_{jk}^{T} \frac{d L_{ε}}{{italicdp}_{i}} φ_{jk} goodbreak+ \frac{1}{2} ((), \frac{{italicdC}_{N, jj}}{{italicdp}_{i}} goodbreak+ \frac{{italicdC}_{N, kk}}{{italicdp}_{i}}), \frac{{italicdC}_{N, jj}}{{italicdp}_{i}} goodbreak= \frac{1}{φ_{0}^{2}} φ_{j}^{T} \frac{d L_{ε}}{{italicdp}_{i}} φ_{j} .

…”

Section: Capacitance Extraction and Capacitive Sensitivity Computationmentioning

confidence: 99%

“…For the computation of the capacitive sensitivities dC=dp i Schuhmacher et al 6 show that only the derivative of the linear operator has to be considered as the sensitivities do not depend on the derivatives of the DOF vector φ. For the case of an arbitrary number of conductors this yields…”

Section: Capacitance Extraction and Capacitive Sensitivity Computationmentioning

confidence: 99%

“…Section 3 employs the adjoint method to derive efficient expressions for computation of both the inductive sensitivities

d boldL / {dp}_{i}

and resistive sensitivities

d boldR / {dp}_{i}

. Section 4 summarizes the electrostatic capacitance extraction and capacitive sensitivity computation approach of Schuhmacher et al, 6 and extends it to the case of more than two conductors. Section 5 discusses several numerical results: The sensitivity analysis is employed to optimize a noise filter.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Efficient sensitivity analysis of lumped elements with respect to finite‐element geometry changes

Stysch

Klaedtke

Gersem

et al. 2022

Int J Numerical Modelling

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Sensitivity analysis enables powerful gradient-based mathematical programming techniques in the optimization of electromechanical products with respect to electromagnetic compatibility requirements. We present a sensitivity analysis method based on finite element solutions of both a magnetoquasistatic system in a tree-cotree gauge and an electrostatic system. A repeated application of the adjoint method ensures a high computational efficiency, which is showcased in a comparison with an earlier approach. Application examples provided are the optimization of a noise filter and the sensitivity computation of a choke with dispersive magnetic core.

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“…The electrostatic (ES) extraction of a capacitance matrix

boldC

and computation of capacitive sensitivities

d boldC / {dp}_{i}

Section: Capacitance Extraction and Capacitive Sensitivity Computationmentioning

confidence: 99%

“…For the computation of the capacitive sensitivities

normald C / normald p_{i}

Schuhmacher et al 6 show that only the derivative of the linear operator has to be considered as the sensitivities do not depend on the derivatives of the DOF vector