Elaborate Modeling Technology
- Material Modeling and Powerful Analysis Capabilities that Contribute
to Limit Design -
The innovations that have been implemented into the technological development
of JMAG are introduced in these Technical Reports. This edition, the 4th
edition, focuses on the "material modeling" technology.
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Modeling Complex Nonlinear Materials at a Micro Level
The equation indicated above is the same basic magnetic field analysis
equation that can be found in text books. Despite the simplicity, this
equation indicates a elaborate distribution for materials because electric
conductivity, σ, and magnetization, M, have nonlinear characteristics.
These characteristics complicate physical phenomena while drastically affecting
the performance of an electrical device. The material modeling used to
simulate complicated material properties has a crucial role in simulation
technology.
Modeling microscopic nonlinear material properties was achieved through
years of cumulative experience. The magnetizing properties of nonlinear
materials can be calculated using the Newton-Raphson method by specifying
a point sequence for the BH curve. An optimal model for an iron loss analysis
is also available using the Steinmetz empirical formula. However, materials
have to be modeled very accurately for a limit design that aims to miniaturize
a device while increasing efficiency.
Accurate Modeling and Powerful Analysis Capabilities required for Limited
Design
Motors used for various applications such as cars, require miniaturization
while also demanding a reduction in cogging torque and losses. A simulation
must obtain highly accurate results to correctly evaluate the miniscule
differences in cogging torque. The noise canceling technology implemented
in the mesh generation engine that was introduced in the pervious Technical
Report can provide a highly accurate numerical analysis.
However, the analysis results and actual measurements will not match even
with a highly accurate numerical analysis because the accuracy of the material
properties that are modeled, such as anisotropic magnetic materials, affect
a simulation more as the accuracy of an analysis increases. This means
the materials need to be modeled more accurately for a limit design.
Material modeling requires a specific number of elements to simulate phenomena
accurately, but there is another aspect to these "evaluation"
tools. Performance characteristics can be obtained through measurements
and experimentation, but effects of those characteristics, such as the
effects of stress by shrink fitting on magnetic properties, cannot be obtained
easily. However, simulation technology has come to be known as an essential
tool for analyzing small but vital differences in material properties,
providing engineers with the ability to distinguish these slight differences.
Evaluation capabilities by material modeling is crucial to finding solutions
to problems. For example, a magnetization analysis can be performed when
the properties of the magnet are inaccurate and the back EMF waveform is
off. This type of material modeling is extremely accurate and indispensable
when trying to solve analytical problems.
The effects of deterioration caused by stress cannot be visualized with
measurements or experimentation.
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