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Computer-Aided Design in Magnetics by D.A. Lowther, P.P. Silvester

By D.A. Lowther, P.P. Silvester

Computer-aided layout has come of age within the magnetic units undefined. From its early beginnings within the Sixties, while the precision wishes of the experimental physics neighborhood first created a necessity for computational aids to magnet layout, CAD software program has grown to occupy an enormous spot within the commercial designer's software equipment. quite a few advertisement CAD structures at the moment are to be had for magnetics paintings, and lots of extra software program applications are used in-house via huge business organisations. whereas their features range, these kinds of software program structures percentage a truly huge universal middle of either method and objec­ tives. the current desire, relatively in medium-sized and nonspecialist enterprises, is for an realizing of the way to make powerful use of those new and immensely robust instruments: what approximations are inherent within the equipment, what amounts may be calculated, and the way to narrate the com­ puted effects to the desires of the fashion designer. those new research concepts profoundly have an effect on the designer's method of difficulties, because the analytic instruments to be had exert a powerful impression at the conceptual types humans construct, and those in flip dictate the style within which they formulate prob­ lems. The impression of CAD is simply starting to be felt industrially, and the authors think this can be an early, yet now not too early, time to assemble jointly many of the adventure which has now gathered between commercial and examine clients of magnetics research systems.

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In the following, they are interpreted physically through illustrative problems. Some of the principal approximations which allow practical cases to be treated are also introduced here, although the main body of such techniques will be treated in other chapters of this book. Interpretation of the Potentials The electric and magnetic potentials lend themselves to direct physical interpretation in most cases. Some simple examples of potential problems may well illustrate these interpretations, and may suggest others applicable to more complicated problems.

48 The Potential Equations of Magnetics To solve for the magnetic vector potential within and near the rotor slot, boundary conditions must be supplied in addition to equation (47). A basis for obtaining suitable boundary conditions can be created applying equation (42) to a somewhat special choice of closed contour. Let a rectangular contour R of integration be chosen as follows:" from point P: (xp, Yp, 0) to the point Q: (xQ, YQ, 0), then parallel to the z (longitudinal) axis a unit distance to Q': (xQ, YQ, I), then in a straight line parallel to the x - Y plane to P': (x p, Y p, 1), and finally back to point P in a straight line parallel (but oppositely directed) to the z axis.

Consider next the opposite extreme, in which the flux density is directed normally to the laminations. The flux density Bave is now the same in iron and air; the field H, on the other hand, varies considerably. The magnetomotive force across one lamination and one air space is clearly J W, o + Wa WiBy H·dI = - /li + -waBy -. /lo (10) Magnetic Material Representation 32 Solving for Bave = By, Bave = /Li/Lo /Li - S(/Li - /La) Have. (11) In other words, a given field H will again produce less flux than it would in solid iron, but less by a factor quite different from that in the previous case.

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