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1 Introduction - Finite Element Method Magnetics

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If ”parallel” is selected, the current is split between all regions marked with that circuit property<br />

on the basis of impedance ( current is split such that the voltage drop is the same across all sections<br />

connected in parallel). Only solid conductors can be connected in parallel.<br />

If ”series” is selected, the specified current is applied to each block labeled with that circuit<br />

property. In addition, blocks that are labeled with a series circuit property can also be assigned a<br />

number of turns, such that the region is treated as a stranded conductor in which the total current is<br />

the series circuit current times the number of turns in the region. The number of turns for a region<br />

is prescribed as a block label property for the region of interest. All stranded coils must be defined<br />

as series-connected (because each turn is connected together with the other turns in series). Note<br />

that the number of turns assigned to a block label can be either a positive or a negative number. The<br />

sign on the number of turns indicated the direction of current flow associated with a positive-valued<br />

circuit current.<br />

For magnetostatic problems, one could alternatively apply a source current density over the<br />

conductor of interest and achieve similar results. For eddy current problems, however, the “circuit”<br />

properties are much more useful–they allow the user to define the current directly, and they allow<br />

the user to assign a particular connectivity to various regions of the geometry. This information is<br />

used to obtain impedance, flux linkage, etc., in a relatively painless way in the postprocessor.<br />

By applying circuit properties, one can also enforce connectivity in eddy current problems.<br />

By default, all objects in eddy current problems are “shorted together at infinity”–that is, there<br />

is nothing to stop induced currents from returning in other sections of the domain that might not<br />

be intended to be physically connected. By applying a parallel-connected circuit with a zero net<br />

current density constraint to each physical “part” in the geometry, the connectivity of each part is<br />

enforced and all is forced to be conserved inside the part of interest.<br />

The dialog for entering circuit properties is pictured in Figure 15.<br />

3.8 Exterior Region<br />

Figure 15: Circuit Property dialog<br />

One often desires to solve problems on an unbounded domain. Appendix A.3.3 describes an easyto-implement<br />

conformal mapping method for representing an unbounded domain in a 2D planar<br />

finite element analysis. Essentially, one models two disks–one represents the solution region of<br />

26

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