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FEMM Manual - Finite Element Method Magnetics

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2. The Mixed boundary condition can used to set the field intensity, H, that flows parallel<br />

to a boundary. This is done by setting c0 to zero, and c1 to the desired value of H in<br />

units of Amp/Meter. Note that this boundary condition can also be used to prescribe<br />

∂A/∂n = 0 at the boundary. However, this is unnecessary–the 1 st order triangle finite<br />

elements give a ∂A/∂n = 0 boundary condition by default.<br />

• Strategic Dual Image This is sort of an “experimental” boundary condition that I have<br />

found useful for my own purposes from time to time. This boundary condition mimics<br />

an “open” boundary by solving the problem twice: once with a homogeneous Dirichlet<br />

boundary condition on the SDI boundary, and once with a homogeneous Neumann condition<br />

on the SDI boundary. The results from each run are then averaged to get the open boundary<br />

result. This boundary condition should only be applied to the outer boundary of a circular<br />

domain in 2-D planar problems. Through a method-of-images argument, it can be shown<br />

that this approach yields the correct open-boundary result for problems with no iron (i.e just<br />

currents or linear magnets with unit permeability in the solution region).<br />

• Periodic This type of boundary condition is applied to either two segments or two arcs to<br />

force the magnetic vector potential to be identical along each boundary. This sort of boundary<br />

is useful in exploiting the symmetry inherent in some problems to reduce the size of<br />

the domain which must be modeled. The domain merely needs to be periodic, as opposed to<br />

obeying more restrictive A = 0 or ∂A/∂n = 0 line of symmetry conditions. Another useful application<br />

of periodic boundary conditions is for the modeling of “open boundary” problems,<br />

as discussed in Appendix A.3.3. Often, a periodic boundary is made up of several different<br />

line or arc segments. A different periodic condition must be defined for each section of the<br />

boundary, since each periodic BC can only be applied to a line or arc and a corresponding<br />

line or arc on the remote periodic boundary.<br />

• Antiperiodic The antiperiodic boundary condition is applied in a similar way as the periodic<br />

boundary condition, but its effect is to force two boundaries to be the negative of one<br />

another. This type of boundary is also typically used to reduce the domain which must be<br />

modeled, e.g. so that an electric machine might be modeled for the purposes of a finite<br />

element analysis with just one pole.<br />

Materials Properties<br />

The Block Property dialog box is used to specify the properties to be associated with block labels.<br />

The properties specified in this dialog have to do with the material that the block is composed<br />

of, as well as some attributes about how the material is put together (laminated). When a new<br />

material property is added or an existing property modified, the Block Property dialog pictured<br />

in Figure 2.9 appears.<br />

As with Point and Boundary properties, the first step is to choose a descriptive name for the<br />

material that is being described. Enter it in the Name edit box in lieu of “New Material.”<br />

Next decide whether the material will have a linear or nonlinear B-H curve by selecting the<br />

appropriate entry in the B-H Curve drop list.<br />

If Linear B-H Relationship was selected from the drop list, the next group of Linear<br />

Material Properties parameters will become enabled. <strong>FEMM</strong> allows you to specify different<br />

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