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Calculating Permeance Coefficients

Permeance Coefficients (Pc) are important in material selection to ensure optimal design. The Permeance Coefficient of a magnet is also referred to as the "operating slope", load line or B/H ("B over H") of the magnet. When no other permanent or soft magnetic material is nearby, that is when the magnet is in "open circuit", the Pc can be calculated solely from the dimensions of the magnet.

Calculations based upon simplified equations of geometry (from Evershed) and approximations of the effective length of the material result in the ballistic demagnetizing factor, NB. The Pc is calculated from NB by the formula: Pc = 1- (1/NB). The calculated value represents the Pc at the neutral cross-section of the magnet. A quite "readable" explanation of the calculation of Pc based on the ballistic demagnetizing factor is available in Rollin J. Parker's book Advances in Permanent Magnetism, pages 149-154. (See the Reference Book list).

Starting in the 1960's and as a result of the development of ferrite magnets with a "straight line" normal curve ("square loop" intrinsic hysteresigraph curve), R.I. Joseph, E. Schlomann and others advanced a calculation based on uniform magnetization throughout the magnet volume. The demagnetizing factor from these calculations is called NM, the magnetometirc demagnetizing factor. In the 1990s, additional calculations were reported by Chen, Pardo, Sanchez, and others from the University of Madrid, Spain, which incorporated the materials susceptibility. Demagnetizing factors incorporating susceptibility are called NF, the fluxmetric demagnetizing factor. For permanent magnet materials, the susceptibility is only slightly above zero, and NF is very close to NM.

While FEA software utilizes values of NM, laboratory measurements on full-size magnets fall closest to the those from the ballistic demagnetizing factor, NB.

Most, if not all, FEA programs now use NM and those are the calculations provided herein.

Please select which Permeance Coefficient calculation best suits your application by referring to the diagrams below.

Axial/Hollow and Solid Cylinder Pc Calculation

Transverse Solid Cylinder Pc Calculation

Rectangle Pc Calculation

Accuracy Statement
While we make every effort to ensure that the information contained in these documents is complete and accurate, we make no warranty regarding this. Please see our disclaimer statement. We would appreciate your input regarding corrections, additions and suggestions for improvement (e-mail us).

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