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Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach

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Abstract
The measured voltage signals picked up by the needle probe method can be interpreted by a numerical method so as to identify the magnetic material properties of the magnetic circuit of an electromagnetic device. However, when solving this electromagnetic inverse problem, the uncertainties in the numerical method give rise to recovery errors since the calculated needle signals in the forward problem are sensitive to these uncertainties. This paper proposes a stochastic Cramer-Rao bound method for determining the optimal sensor placement in the experimental setup. The numerical method is computationally time efficient where the geometrical parameters need to be provided. We apply the method for the non-destructive magnetic material characterization of an EI inductor where we ascertain the optimal experiment design. This design corresponds to the highest possible resolution that can be obtained when solving the inverse problem. Moreover, the presented results are validated by comparison with the exact material characteristics. The results show that the proposed methodology is independent of the values of the material parameter so that it can be applied before solving the inverse problem, i.e. as a priori estimation stage.
Keywords
CUTTING EDGES, STRESSES, PARAMETER-ESTIMATION, ELECTRICAL STEEL SHEETS, OPTIMAL EXPERIMENT DESIGN, optimal experiment design, needle probe method, Cramer-Rao bound, inverse, problem, magnetic material identification, stochastic uncertainty analysis

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Citation

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

MLA
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. “Optimal Needle Placement for the Accurate Magnetic Material Quantification Based on Uncertainty Analysis in the Inverse Approach.” MEASUREMENT SCIENCE & TECHNOLOGY 21.11 (2010): n. pag. Print.
APA
Mohamed Abouelyazied Abdallh, A., Crevecoeur, G., & Dupré, L. (2010). Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach. MEASUREMENT SCIENCE & TECHNOLOGY, 21(11).
Chicago author-date
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. 2010. “Optimal Needle Placement for the Accurate Magnetic Material Quantification Based on Uncertainty Analysis in the Inverse Approach.” Measurement Science & Technology 21 (11).
Chicago author-date (all authors)
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. 2010. “Optimal Needle Placement for the Accurate Magnetic Material Quantification Based on Uncertainty Analysis in the Inverse Approach.” Measurement Science & Technology 21 (11).
Vancouver
1.
Mohamed Abouelyazied Abdallh A, Crevecoeur G, Dupré L. Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach. MEASUREMENT SCIENCE & TECHNOLOGY. 2010;21(11).
IEEE
[1]
A. Mohamed Abouelyazied Abdallh, G. Crevecoeur, and L. Dupré, “Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach,” MEASUREMENT SCIENCE & TECHNOLOGY, vol. 21, no. 11, 2010.
@article{1058734,
  abstract     = {The measured voltage signals picked up by the needle probe method can be interpreted by a numerical method so as to identify the magnetic material properties of the magnetic circuit of an electromagnetic device. However, when solving this electromagnetic inverse problem, the uncertainties in the numerical method give rise to recovery errors since the calculated needle signals in the forward problem are sensitive to these uncertainties. This paper proposes a stochastic Cramer-Rao bound method for determining the optimal sensor placement in the experimental setup. The numerical method is computationally time efficient where the geometrical parameters need to be provided. We apply the method for the non-destructive magnetic material characterization of an EI inductor where we ascertain the optimal experiment design. This design corresponds to the highest possible resolution that can be obtained when solving the inverse problem. Moreover, the presented results are validated by comparison with the exact material characteristics. The results show that the proposed methodology is independent of the values of the material parameter so that it can be applied before solving the inverse problem, i.e. as a priori estimation stage.},
  articleno    = {115703},
  author       = {Mohamed Abouelyazied Abdallh, Ahmed and Crevecoeur, Guillaume and Dupré, Luc},
  issn         = {0957-0233},
  journal      = {MEASUREMENT SCIENCE & TECHNOLOGY},
  keywords     = {CUTTING EDGES,STRESSES,PARAMETER-ESTIMATION,ELECTRICAL STEEL SHEETS,OPTIMAL EXPERIMENT DESIGN,optimal experiment design,needle probe method,Cramer-Rao bound,inverse,problem,magnetic material identification,stochastic uncertainty analysis},
  language     = {eng},
  number       = {11},
  pages        = {16},
  title        = {Optimal needle placement for the accurate magnetic material quantification based on uncertainty analysis in the inverse approach},
  url          = {http://dx.doi.org/10.1088/0957-0233/21/11/115703},
  volume       = {21},
  year         = {2010},
}

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