12. Analysis Dimensions and Local Coordinate Systems

12. Analysis Dimensions and Local Coordinate Systems#

Specifies the dimension of the analysis model. In a two-dimensional calculation, surface elements (first-order triangles and first-order quadrilaterals) read from the input mesh data file are extended in the symmetry direction by DELTA_Z or DELTA_THETA to generate first-order volume elements, and the problem is analyzed as a three-dimensional problem. When GEOMETRY = 0, the three-dimensional mesh is read from the file pre_geom. When GEOMETRY = 1, 2, 3, or 4, a two-dimensional mesh is read from the file pre_geom2D. For GEOMETRY = 4, define the surface elements of the two-dimensional model on the z=0 (x-y) plane when extending in the z direction, or on the y=0 (z-x) plane when extending in the angular direction.

Important

For two-dimensional analyses with GEOMETRY = 1 or 2, magnetic flux density is calculated on the mesh-defining plane and (eddy) current is calculated in the depth direction of the mesh. Specifically, for GEOMETRY = 1, Bx, By, and Jz are calculated; for GEOMETRY = 2, Bx, Bz, and Jy are calculated.

Defines a local coordinate system. It is used for material anisotropy ANISOTROPY(16.1), external current and magnetic-field sources COIL(17.1), magnetization-vector sources MAGNET(17.7), and three-dimensional extension of a two-dimensional mesh. The global coordinate system (Cartesian coordinate system) is defined by COORD_ID = 0, so it does not need to be defined when the global coordinate system is used.

Settings#

12_Geometry JSON key: Analysis dimension and local coordinate system object

GEOMETRY(12) Specifies the dimension of the input mesh

DELTA_Z_THETA(12) Sets the extension length for two-dimensional analysis

NO_LAYERS(12) Specifies the number of divisions over 360 degrees for two-dimensional axisymmetric analysis with GEOMETRY=3

ADD_SYMMETRY(12) Disables the boundary condition in the extension direction during two-dimensional analysis

PITCH(12) Sets the twist pitch of a helical mesh

COORDINATE(12) Title card for local coordinate systems

NO_COORDINATES(12) Number of local coordinate systems to define

COORD_ID(12) Identifier of the local coordinate system

TYPE(12) Specifies the type of local coordinate system

XYZ0(13) Coordinates of the local-coordinate-system origin in the global coordinate system

EX_XYZ(13) Unit vector in the x direction of the local coordinate system

EZ_XYZ(13) Unit vector in the z direction of the local coordinate system

Input format#

Text-format section

Analysis dimension

Type:

Fixed parameter set

Number of rows:

1

Number of parameters:

5

Text format#
* GEOMETRY * DELTA_Z_THETA * NO_LAYERS * ADD_SYMMETRY * PITCH *
    I         I             I           I            E

Local coordinate system

Type:

Fixed parameter set

Number of rows:

1

Number of parameters:

2

Text format#
*COORDINATE * NO_COORDINATES *
COORDINATE         I

To define a local coordinate system, set the following parameters.

Type:

Additional parameter set

Number of rows:

3*NO_COORDINATES

Number of parameters:

5,3,3

Text format#
* COORD_ID * TYPE   *    X0    *    Y0    *    Z0   *
    I         I          E          E          E
*                   *   EX_X   *   EX_Y   *   EX_Z  *
                        E          E          E
*                   *   EZ_X   *   EZ_Y   *   EZ_Z  *
                        E          E          E

JSON format#

JSON format from 2024.11#
"12_Geometry" :
{
    "GEOMETRY" : I,
    "DELTA_Z_THETA" : E,
    "NO_LAYERS" : I,
    "ADD_SYMMETRY" : I,
    "PITCH" : E,
    "COORDINATE" :
    [
        {
            "COORD_ID" : I,
            "TYPE" : I,
            "XYZ0" : [ E, E, E ],
            "EX_XYZ" : [ E, E, E ],
            "EZ_XYZ" : [ E, E, E ]
        }
    ]
},

Important

Release 2024.11

In JSON format, these parameters may be omitted; the default values are used. See the detailed description for the default values.

Detailed description#

12_Geometry#

12_Geometry#
JSON key:

Analysis dimension and local coordinate system object

Analysis dimension#

Text-format section
Type:

Fixed parameter set

Number of rows:

1

Number of parameters:

5

GEOMETRY#

GEOMETRY(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 1]
Analysis dimension#

Value

Description

0

Reads a three-dimensional mesh from the file pre_geom.

1

Two-dimensional translationally symmetric calculation. Defined on the XY plane. Performs a calculation equivalent to a two-dimensional calculation using a three-dimensional mesh formed by extruding one layer in the Z direction by DELTA_Z.

2

Two-dimensional axisymmetric calculation. Defined on the ZX plane. Performs a calculation equivalent to a two-dimensional calculation using a three-dimensional mesh formed by extruding one layer in the θ direction through an angle of DELTA_THETA.

3

When the analysis model is axisymmetric, automatically generates a three-dimensional mesh covering 360 degrees from the two-dimensional mesh. The applied magnetic field need not be axisymmetric, and a three-dimensional calculation is performed.

4

Extends the two-dimensional mesh by multiple layers in the z or angular direction to create a three-dimensional mesh. The 2D_to_3D file is required.

In a two-dimensional calculation, surface elements (first-order triangles and first-order quadrilaterals) read from the input mesh data file are extended in the symmetry direction by DELTA_Z or DELTA_THETA to generate first-order volume elements, and the problem is analyzed as a three-dimensional problem.

When GEOMETRY = 0, the three-dimensional mesh is read from the file pre_geom. When GEOMETRY = 1, 2, 3, or 4, a two-dimensional mesh is read from the file pre_geom2D. For GEOMETRY = 4, define the surface elements of the two-dimensional model on the z=0 (x-y) plane when extending in the z direction, or on the y=0 (z-x) plane when extending in the angular direction.

DELTA_Z_THETA#

DELTA_Z_THETA(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 2]
Type:

Real number (E)

Value:

>= 0

Unit:

m ( GEOMETRY = 1), degree ( GEOMETRY = 2)

Description:

Specify when GEOMETRY = 1 or 2. Not required when GEOMETRY = 0, 3, or 4.

When GEOMETRY = 1, DELTA_Z is the element length in the z direction (m).

When GEOMETRY = 2, DELTA_THETA is the element angle in the angular direction (degrees).

Default value:

0

NO_LAYERS#

NO_LAYERS(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 3]
Type:

Integer (I)

Value:

>= 0

Description:

Not required when GEOMETRY = 1 or 2. When GEOMETRY = 3, use this to specify the number of NO_LAYER layers when automatically generating a 360-degree three-dimensional mesh from the two-dimensional mesh. Specifying 0 creates 360 layers (default). Specify 0 when GEOMETRY = 1.

Default value:

0

ADD_SYMMETRY#

ADD_SYMMETRY(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 4]
Disable boundary-condition setting#

Value

Description

0

Set the boundary condition Default value

1

Does not set a Bn=0 surface on the XY plane when GEOMETRY = 1 or on the RZ plane when GEOMETRY = 2. Use this when specifying a periodic boundary with CYCLIC(14).

PITCH#

PITCH(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 5]
Type:

Real number (E)

Description:

When GEOMETRY = 1 (a one-layer extruded mesh), entering a nonzero value (m) applies a twist deformation to the mesh using the value as the twist pitch (m) of the helical mesh. PITCH > 0: right-hand screw direction; < 0: left-hand screw direction.

Default value:

0

Note

Revision history

Release 12.0.3

Added an option to configure a helical mesh in two-dimensional analysis

Local coordinate system#

Text-format section
Type:

Fixed parameter set

Number of rows:

1

Number of parameters:

2

Type:

Additional parameter set

Number of rows:

3*NO_COORDINATES

Number of parameters:

5,3,3

COORDINATE#

COORDINATE(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [1, 1]
Type:

String (S)

Description:

Specifies COORDINATE.

Text-format section
NO_COORDINATES(12)#

NO_COORDINATES

Fixed parameter set 1#
[row, col] = [1, 2]
Type=I

Number of local coordinate systems to define. Do not include the global coordinate system. Repeat additional parameter set 1 this many times below.

Additional data#

Text-format section
Type:

Additional parameter set

Number of rows:

3*NO_COORDINATES

Number of parameters:

5,3,3

COORD_ID#

COORD_ID(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [2, 1]
Type:

Integer (I)

Value:

>= 1

Description:

Identifier of the local coordinate system.

Caution

Identifier 0 denotes the global coordinate system and does not need to be entered.

TYPE#

TYPE(12)#
Text-format section
Fixed parameter set 1#
[row, col] = [2, 2]
Type of local coordinate system#

Value

Description

1

Cartesian coordinate system. Uses (x,y,z) as the local coordinates.

2

Cylindrical coordinate system. Uses (r, \(\theta\) ,z) as the local coordinates.

XYZ0#

XYZ0(13)#
Text-format section
Fixed parameter set 1#
[row, col] = [2, 3]～[2, 5]
Type:

Real number (E)

Description:

Components X0, Y0, and Z0 of the local coordinate-system origin in the global coordinate system. Specify as an array.

EX_XYZ#

EX_XYZ(13)#
Text-format section
Fixed parameter set 1#
[row, col] = [3, 1]～[3, 3]
Type:

Real number (E)

Description:

Components of the local coordinate system’s x-direction unit vector \(e_x\) in the global coordinate system. Specify as an array. Set \(|e_x|=1\).

EZ_XYZ#

EZ_XYZ(13)#
Text-format section
Fixed parameter set 1#
[row, col] = [4, 1]～[4, 3]
Type:

Real number (E)

Description:

Components of the local coordinate system’s z-direction unit vector \(e_z\) in the global coordinate system. Specify as an array.

For a cylindrical coordinate system ( TYPE = 2), the z axis is the axis of rotation and the angle is zero on the x axis.

Set \(|e_z|=1\). Set \(e_x \cdot e_y =1\).

../../_images/localCoordinate.png

Figure: Example of a local coordinate system#