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3-D Transient Eddy Current Calculations for the Felix Cylinder Experiments.

DE86014753

Publication Date	1986
Personal Author	Davey, K. R.
Page Count	56
Abstract	The three-dimensional eddy current transient field problem is formulated first using the U-V method. This method breaks the vector Helmholtz equation into two scalar Helmholtz equations. Null field integral equations and the appropriate boundary conditions germaine to the problem are used to set up an identification matrix which is independent of null field point locations. Embedded in the identification matrix are the unknown eigenvalues of the problem representing its impulse response in time. These eigenvalues are found by equating the determinant of the identification matrix to zero. The eigenvalues, which can be equated with temporal response, are found to be intimately linked to the initial forcing function which triggers the transient in question. When this initial forcing function is Fourier decomposed into its respective spatial harmonics, it is possible to associate with each Fourier component a unique eigenvalue by this technique. The true transient solution comes through a convolution of the impulse response so obtained with the particular external field decay governing the problem at hand. The technique is applied to the Felix medium cylinder and compared to data. A pseudoanalytic conformation of the eigenvalues so obtained is formulated to validate the procedure. (ERA citation 11:049548)
Keywords	Eddy Currents FELIX Facility Cylindrical Configuration Eigenvalues Helmholtz Theorem Three-Dimensional Calculations ERDA/700202
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	77A - Thermonuclear Fusion Devices
Corporate Authors	Georgia Inst. of Tech., Atlanta. Fusion Research Center.; Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	198703
Contract Number	AS05-78ET52025

3-D Transient Eddy Current Calculations for the Felix Cylinder Experiments.

3-D Transient Eddy Current Calculations for the Felix Cylinder Experiments.
DE86014753

Publication Date	1986
Personal Author	Davey, K. R.
Page Count	56
Abstract	The three-dimensional eddy current transient field problem is formulated first using the U-V method. This method breaks the vector Helmholtz equation into two scalar Helmholtz equations. Null field integral equations and the appropriate boundary conditions germaine to the problem are used to set up an identification matrix which is independent of null field point locations. Embedded in the identification matrix are the unknown eigenvalues of the problem representing its impulse response in time. These eigenvalues are found by equating the determinant of the identification matrix to zero. The eigenvalues, which can be equated with temporal response, are found to be intimately linked to the initial forcing function which triggers the transient in question. When this initial forcing function is Fourier decomposed into its respective spatial harmonics, it is possible to associate with each Fourier component a unique eigenvalue by this technique. The true transient solution comes through a convolution of the impulse response so obtained with the particular external field decay governing the problem at hand. The technique is applied to the Felix medium cylinder and compared to data. A pseudoanalytic conformation of the eigenvalues so obtained is formulated to validate the procedure. (ERA citation 11:049548)
Keywords	Eddy Currents FELIX Facility Cylindrical Configuration Eigenvalues Helmholtz Theorem Three-Dimensional Calculations ERDA/700202
Source Agency	Technical Information Center Oak Ridge Tennessee
NTIS Subject Category	77A - Thermonuclear Fusion Devices
Corporate Authors	Georgia Inst. of Tech., Atlanta. Fusion Research Center.; Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	198703
Contract Number	AS05-78ET52025