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Optimal needles placement for the identification of magnetic material properties based on uncertainty analysis in the inverse approach

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Abstract
The measured signals picked up by the needle probe method can be interpreted by a numerical method so to identify the magnetic material properties of an electromagnetic device. However, uncertainties in the numerical method give recovery errors since the needle signals are sensitive to these uncertainties. This paper proposes a stochastic Cramér-Rao bound (sCRB) method for determining the optimal sensor placement in the experimental setup with given uncertain geometrical parameters. We apply the method for the characterization of the magnetic material characteristics of an EI inductor and we determine the optimal needles placement that corresponds with the highest resolution of the inverse solution. Moreover, the presented results are compared with the First Order Perturbation method (FOPM) and the recovered material characteristics are validated with the exact material characteristics. The suggested methodology is independent on the values of the material parameter, so it can be applied before solving the inverse problem as a priori estimation stage, which confirms the importance of the proposed methodology.
Keywords
magnetic material identification, inverse problem, stochastic uncertainty analysis., Cramér-Rao bound

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Please use this url to cite or link to this publication:

Chicago
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. 2010. “Optimal Needles Placement for the Identification of Magnetic Material Properties Based on Uncertainty Analysis in the Inverse Approach.” In Optimization and Inverse Problems in Electromagnetism, 11th International Workshop, Proceedings.
APA
Mohamed Abouelyazied Abdallh, A., Crevecoeur, G., & Dupré, L. (2010). Optimal needles placement for the identification of magnetic material properties based on uncertainty analysis in the inverse approach. Optimization and Inverse Problems in Electromagnetism, 11th International workshop, Proceedings. Presented at the 11th International workshop on Optimization and Inverse Problems in Electromagnetism (OIPE 2010).
Vancouver
1.
Mohamed Abouelyazied Abdallh A, Crevecoeur G, Dupré L. Optimal needles placement for the identification of magnetic material properties based on uncertainty analysis in the inverse approach. Optimization and Inverse Problems in Electromagnetism, 11th International workshop, Proceedings. 2010.
MLA
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. “Optimal Needles Placement for the Identification of Magnetic Material Properties Based on Uncertainty Analysis in the Inverse Approach.” Optimization and Inverse Problems in Electromagnetism, 11th International Workshop, Proceedings. 2010. Print.
@inproceedings{1043476,
  abstract     = {The measured signals picked up by the needle probe method can be interpreted by a numerical method so to identify the magnetic material properties of an electromagnetic device. However, uncertainties in the numerical method give recovery errors since the needle signals are sensitive to these uncertainties. This paper proposes a stochastic Cram{\'e}r-Rao bound (sCRB) method for determining the optimal sensor placement in the experimental setup with given uncertain geometrical parameters. We apply the method for the characterization of the magnetic material characteristics of an EI inductor and we determine the optimal needles placement that corresponds with the highest resolution of the inverse solution. Moreover, the presented results are compared with the First Order Perturbation method (FOPM) and the recovered material characteristics are validated with the exact material characteristics. The suggested methodology is independent on the values of the material parameter, so it can be applied before solving the inverse problem as a priori estimation stage, which confirms the importance of the proposed methodology.},
  author       = {Mohamed Abouelyazied Abdallh, Ahmed and Crevecoeur, Guillaume and Dupr{\'e}, Luc},
  booktitle    = {Optimization and Inverse Problems in Electromagnetism, 11th International workshop, Proceedings},
  keyword      = {magnetic material identification,inverse problem,stochastic uncertainty analysis.,Cram{\'e}r-Rao bound},
  language     = {eng},
  location     = {Sofia, Bulgaria},
  pages        = {2},
  title        = {Optimal needles placement for the identification of magnetic material properties based on uncertainty analysis in the inverse approach},
  year         = {2010},
}