This paper deals with theoretical and numerical problems related with the inverse problem of the reconstruction of the first piece of the piecewise affine approximation of the B–H nonlinear characteristic starting from the knowledge of measured flux–current relationship. The reconstruction of the first piece of the characteristic is critical, as highlighted in novel approaches reconstructing the whole characteristic without relying on the common assumption that the driving system produces a uniformly distributed magnetic field inside the specimen. In this paper a proof will be given of the uniqueness of the solution of the inverse problem based on elementary analysis arguments and a numerical procedure that, by means of the use of complementary formulations, allows one to compute and control the reconstruction error due to the numerical formulation. The paper is organized as follows: a brief discussion of the problem is reported in Section 1, the numerical formulation and the error bounds are reported in Section 2, the uniqueness of the inverse problem is addressed in Section 3 and numerical examples are reported in Section 4.

Identification of the B–H curve from external measurements using complementary formulations

FRESA, RAFFAELE;
2000-01-01

Abstract

This paper deals with theoretical and numerical problems related with the inverse problem of the reconstruction of the first piece of the piecewise affine approximation of the B–H nonlinear characteristic starting from the knowledge of measured flux–current relationship. The reconstruction of the first piece of the characteristic is critical, as highlighted in novel approaches reconstructing the whole characteristic without relying on the common assumption that the driving system produces a uniformly distributed magnetic field inside the specimen. In this paper a proof will be given of the uniqueness of the solution of the inverse problem based on elementary analysis arguments and a numerical procedure that, by means of the use of complementary formulations, allows one to compute and control the reconstruction error due to the numerical formulation. The paper is organized as follows: a brief discussion of the problem is reported in Section 1, the numerical formulation and the error bounds are reported in Section 2, the uniqueness of the inverse problem is addressed in Section 3 and numerical examples are reported in Section 4.
2000
File in questo prodotto:
File Dimensione Formato  
Physb_2000.pdf

solo utenti autorizzati

Tipologia: Pdf editoriale
Licenza: Creative commons
Dimensione 116.51 kB
Formato Adobe PDF
116.51 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/3688
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 4
social impact