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A priori error estimation of magnetic material characteristics using stochastic uncertainty analysis

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Abstract
By interpreting electromagnetic or mechanical measurements with a numerical model of the considered electromagnetic device, magnetic properties of the magnetic circuit of that device can be estimated by solving an inverse numerical electromagnetic problem. Due to measurement noise and uncertainties in the forward model, errors are made in the reconstruction of the material properties. This paper describes the formulation and implementation of the error estimation and the prediction of which measurements that need to be carried out for accurate magnetic material characterization. Stochastic uncertainty analysis, based on Cramér-Rao bound (CRB), is introduced and applied to the magnetic material haracterization of a Switched Reluctance Motor (SRM) starting from mechanical (torque) and local magnetic measurements. The traditional CRB method that estimates the error due to measurement noise is extended with the incorporation of stochastic uncertain geometrical model parameters.
Keywords
magnetic material identification, inverse problem, Stochastic uncertainty analysis, Cramér-Rao bound.

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MLA
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. “A Priori Error Estimation of Magnetic Material Characteristics Using Stochastic Uncertainty Analysis.” Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings. Piscataway, NJ, USA: IEEE, 2010. Print.
APA
Mohamed Abouelyazied Abdallh, A., Crevecoeur, G., & Dupré, L. (2010). A priori error estimation of magnetic material characteristics using stochastic uncertainty analysis. Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings. Presented at the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010), Piscataway, NJ, USA: IEEE.
Chicago author-date
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. 2010. “A Priori Error Estimation of Magnetic Material Characteristics Using Stochastic Uncertainty Analysis.” In Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings. Piscataway, NJ, USA: IEEE.
Chicago author-date (all authors)
Mohamed Abouelyazied Abdallh, Ahmed, Guillaume Crevecoeur, and Luc Dupré. 2010. “A Priori Error Estimation of Magnetic Material Characteristics Using Stochastic Uncertainty Analysis.” In Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings. Piscataway, NJ, USA: IEEE.
Vancouver
1.
Mohamed Abouelyazied Abdallh A, Crevecoeur G, Dupré L. A priori error estimation of magnetic material characteristics using stochastic uncertainty analysis. Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings. Piscataway, NJ, USA: IEEE; 2010.
IEEE
[1]
A. Mohamed Abouelyazied Abdallh, G. Crevecoeur, and L. Dupré, “A priori error estimation of magnetic material characteristics using stochastic uncertainty analysis,” in Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings, Chicago, IL, USA, 2010.
@inproceedings{944713,
  abstract     = {By interpreting electromagnetic or mechanical measurements with a numerical model of the considered electromagnetic device, magnetic properties of the magnetic circuit of that device can be estimated by solving an inverse numerical electromagnetic problem. Due to measurement noise and uncertainties in the forward model, errors are made in the reconstruction of the material properties. This paper describes the formulation and implementation of the error estimation and the prediction of which measurements that need to be carried out for accurate magnetic material characterization. Stochastic uncertainty analysis, based on Cramér-Rao bound (CRB), is introduced and applied to the magnetic material haracterization of a Switched Reluctance Motor (SRM) starting from mechanical (torque) and local magnetic measurements. The traditional CRB method that estimates the error due to measurement noise is extended with the incorporation of stochastic uncertain geometrical model parameters.},
  author       = {Mohamed Abouelyazied Abdallh, Ahmed and Crevecoeur, Guillaume and Dupré, Luc},
  booktitle    = {Electromagnetic Field Computation, 14th Biennial IEEE Conference, Proceedings},
  isbn         = {9781424470594},
  keywords     = {magnetic material identification,inverse problem,Stochastic uncertainty analysis,Cramér-Rao bound.},
  language     = {eng},
  location     = {Chicago, IL, USA},
  pages        = {1},
  publisher    = {IEEE},
  title        = {A priori error estimation of magnetic material characteristics using stochastic uncertainty analysis},
  url          = {http://dx.doi.org/10.1109/CEFC.2010.5481288},
  year         = {2010},
}

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