Coil Modeling

The ROXIE program includes routines for defining the geometry of coil cross-sections made of Rutherford type superconducting cables or rectangular shaped braids. The geometric position of coil-block arrangements in the cross-section of the magnets is calculated from the following input data:

In case of cos nΘ magnets, the number of blocks, the number of conductors per block, conductor type (specified in a cable data base), radius of the winding mandrel, as well as positioning and inclination angle of the blocks. The grading of the current density is taken into account by a discretization of the cable into N1 * N2 strands, where N1 is the number of strands in the narrow direction, and N2 is the number of strands in the direction of the broad side (2*18 in case of the LHC outer layer dipole cable).
In case of window frame magnets, the number of blocks, the number of conductors per block, conductor type, x and y position of the lower left corner of the block, and inclination angle with respect to the x-axis.
In case of beam pipe magnets, the number of blocks, the number of conductors per block, the radius of the winding mandrel, the positioning angle of the first conductor and the increment angle for the subsequent conductors.
In case of hollow conductors (cable in conduit), the geometry is created as in the cases above. From the cable boundary an inlaying cylindrical conductor with N1 arc segments is generated. The arc segments have an inner radius such that exactly one strand is inscribed within each segment. In the ROXIE input file the parameter N2 has to be set to zero.

2-D coil modeling

Main options

Option	Description
Symmetric Coil	Make use of a symmetry in the coil geometry modeling.
Layer Definition	Define layers of coil blocks, possibly each with a different symmetry.
Wedge/Endspacer	Compute the shape of wedges and of the end-spacer in the xy-plane for the plot option WEDGE. The wedges are only calculated correctly with the "Symmetric Coil"-option.

The symmetry- and layer options are described in Section Cosine Theta Cross Section.

Global information

Option	Description
Cond. Alignment OD	'off': align the inner side of the conductors on the winding mandrel; 'on': align the outer side of the conductors on a radius r_\mathrm{out}=r_\mathrm{mandrel}+h_\mathrm{cond.}.
Window Frames	All blocks in the cross-section are defined as for a window frame magnet (rectangular cross-section). The entries in the "Block Data 2-D"-table are read as X/Y/Inc instead of R/\varphi/\alpha.
Single Wires on Mandrel	All blocks in cross-section define single wires on a mandrel, compare Section [Wires on the Mandrel (11_examples_coil_modelling.md#wires-on-the-mandrel).

More relevant data in the "Global Information"-widget:

Variable	Description
Type of Coil/Ref. Field	Define the symmetry type if "Symmetric Coil"-option is 'on'.
Contraction (1 - Fac. Defined)	All data in the "Block Data 2-D"-table with a phys. dimension of a length is contracted by a factor f_cont. = 1 - f_input, l' = l f_cont.*, thus modeling the effect of cool-down. Entry 0.01 results in a contraction by 1%.

Layers

Only available if the "Layer Definition"-option is switched 'on' in the "Main Options". In the "Layers"-table the user assigns blocks from the "Block Data 2-D"-table to layers and defines symmetry-types of the layers.

Input	Description
0	No symmetry
2	Dipole
4	Quadrupole
6	Sextupole
8	Octupole
10	Decapole
12	Dodecapole
1	One Dipole Coil
3	One Quadrupole Coil
5	One Sextupole Coil
7	One Octupole Coil
9	One Decapole Coil
11	One Dodecapole Coil
22	Dipole Connection Side
24	Quadrupole Connection Side
26	Sextupole Connection Side
28	Octupole Connection Side
30	Decapole Connection Side
32	Duodecapole Connection Side
31	Window Frame Dipole
41	Solenoid
42	Up-down symmetry (combined function magnet)
52	Dipole, Both Ends in 3-D
54	Quadrupole, Both Ends in 3-D
56	Sextupole, Both Ends in 3-D
58	Octupole, Both Ends in 3-D
60	Decapole, Both Ends in 3-D
62	Duodekapole, Both Ends in 3-D

No more than 20 blocks can be assigned to a layer per line.

The odd numbers 1-11 define one coil only, which corresponds to one pole of the magnet. The following sketches illustrate the different options. The red block is a block entered in the "Block Data 2D"-table. The black blocks are generated by the "Layer Definition"-option.

The options 22-32 are intended for return-end designs, i.e., coils with an asymmetry due to the passing of conductors from one block to another during winding.
The option 31 is intended for two-in-one window frame dipoles with the apertures atop each other. The 33-option however, is designed for a single-aperture window frame quadrupole.
The option 41 yields the blocks in the upper half-plane for solenoid calculations, compare Section Solenoidal Magnets
The option 42 creates from blocks in the upper half-plane blocks in the lower half-plane with the same current direction. The option 42 is the only option which accepts that blocks be put at phi-angles larger than 90 degrees, i.e., in the second quadrant.
In 2-D, the options 52-60 are identical to the options 2-10. In 3-D however, 52-60 will generate an entire coil made of loops of conductors, whereas 2-12 will generate only half a coil.

Block data 2-D

Each line in the table defines one block of conductors:

Variable	Description
No	Row number.
Ncon	Number of conductors in block.
Radius/X/Z	Radius.
Phi/Y/R	Positioning angle.
Alpha/Inc	Inclination angle.
Current	Conductor current.
CondName	Conductor Name.
N1	Radial discretization of conductor.
N2	Azimuthal discretization of conductor.
Imag	1: Block imaged at x-axis; 0: No action. (not with "Symmetric Coil" -option)
Turn	Block turned by angle. (not with "Symmetric Coil" -option)
Ne	Number of coil-end definition that applies to this block. (only with "3-D Coil Geometry"-option)

The N1- and N2-parameters are explained in Section Cosine Theta Cross Section. Setting these to values for which N1xN2 is below the number of strands given in the roxie.madata- or roxie.cadata-files yields an approximation of the actual strands by a smaller number of line currents. The total current remains unchanged. This is also a way to accelerate the calculation of time-transient effects, knowing that the accuracy of the calculation will be reduced.
The N1- and N2-parameters can be used to define hollow-cylinder like conductors, compare Section Cable in Conduit.
Note that, with regard to 3-D coil end design, a numbering scheme should be followed. Blocks are to be ordered first by descending winding radius (outer layer before inner layer) and second by ascending positioning angle.

Design variables

With the geometric modeling complete, every feature (strand, cable, block, layer) can be subjected to geometric transformations such as translation, rotation, scaling, and imaging. At the same time, constraints are defined for these operations in order to avoid penetration or physically meaningless structures. Not only can the geometric properties of the magnet be changed in the optimization process, but also its material properties such as the number of strands, current density in conductors and strands, and filling factors.

Layer:

Variable	Description
XSHIFL	X-Shift of entire layer.
YSHIFL	Y-Shift of entire layer.
NUMLBL	Number of conductors in block (put the original block number).
DRIL	Mandrel radius of block.
PHI0L	Position angle of block.
ALPH0L	Inclination angle of block.
TURNL	Turning layer by given angle.
TURNLS	Turning (but anti-clock-wise for imaged blocks).
RECTLA	Blocks in layer locally like "Window Frames"-option 'on'.
WIRELA	Blocks in layer locally like "Single Wires on Mandrel"-option 'on'.

Coil blocks (Cross-section):

Variable	Description
NUMCBL	Number of conductors.
PHI0	Positioning angle.
ALPH0	Inclination angle.
PHIR	Positioning angle (relative to Block n-1).
ALPHR	Inclination angle (relative to Block n-1).
PHIRS	As PHIR such that wedge is symmetric.
ALPHRS	Inclination angle (difference to angle giving a symmetric wedge).
PHIALP	Positioning angle and inclination angle equivalent.
GAP	Gap width of a rectangular block (relative to Block n-1).
PHIV	Azimuthal displacement of a block.
PHIVGL	Azimuthal displacement of all blocks.
RSHIFT	Radial displacement of a block.
XSHIFT	x-displacement of a block.
YSHIFT	y-displacement of a block.
ALPH0V	Increment of inclination angle.
RECTBL	Rectangular block.
WIREBL	Beam-pipe magnet block.
TILT	Tilt angle of rectangular block.
ODFAC	Conductor alignment factor (0: mandrel, 1: outer cylinder), compare the "Cond. Alignment OD"-option in the "Global Information". A number between 0 and 1 yields an alignment between somewhere between the mandrel and the outer cylinder.
INCL	Inclined buildup of rectangular block.
DFAKG	Zoom factor of cable width in all blocks.
DFAK	As DFAKG only in specified blocks.
DJFACH	Zoom factor for cable height (J=const.) in specified block.
DFACW	Zoom factor for cable width (J=const.) in specified block.

Conductors:

Variable	Description
DRI	Radius of mandrel (if "Layer Definition"-option is 'off').
DHI	Height of the conductor in block specified.
DWO	Outer width of the conductor in block specified.
DWI	Inner width of the conductor in block specified.
DRIC	Radius of conductor.
DHIC	Height of conductor.
DWOC	Outer width of conductor.
DWIC	Inner width of conductor.
DWIOC	DWIC=DWOC=DWIOC.
SHIM	Cond. is a shim (current = 0).
XSHIFC	x-shift of conductor (xy-plane).
YSHIFC	y-shift of conductor (xy-plane).
RSHIFC	r-shift of conductor (xy-plane).
XSH12	x-shift of conductor surface 1-2 (xy-plane).
XSH34	x-shift of conductor surface 3-4 (xy-plane).
YSH12	y-shift of conductor surface 1-2 (xy-plane).
YSH34	y-shift of conductor surface 3-4 (xy-plane).

2-D transform (Layers and Blocks):

Variable	Description
SHIFX	x-shift of the coil block in 2-D.
SHIFY	y-shift of the coil block in 2-D.
SHIFF	Rotation (in degrees) of coil block in 2-D.
SHIFR	r-shift of the coil block in 2-D.
SHIFLX	x-shift of the layer in 2-D.
SHIFLY	y-shift of the layer in 2-D.
SHIFLF	Rotation (in degrees) of the layer in 2-D.
SHIFLR	r-shift of the layer in 2-D.

Plotting:

Variable	Description
SCALFN	Scaling factor for numbering of conductors and blocks.

Objectives

Global values:

Variable	Description
DCONT	Contraction factor.
INCLM	Mean inclination angle in magnet.
INCMAX	Maximum inclination angle in magnet.

The inclination angle measures the deviation of a conductor's radial axis from a radial positioning. The inclination angle is the sum over all conductors of the deviation from a radial position. Radial positioning is important in order to reduce mechanical stress to the cable in the magnet's coil end. The INCLM value is printed to the .output-file at every run of ROXIE.

Conductor data:

Variable	Description
ALLIGN	Alignment constraint.
DTWLE	Twist per unit length.
R14CO	Radial position of the insulated cable (side 1-4).
R23CO	Radial position of the insulated cable (side 2-3).
F14CO	Inclination of the insulated cable (side 1-4).
F23CO	Inclination of the insulated cable (side 2-3).
DZCON	z-position of the conductor at the apex.

Block (input) data:

Variable	Description
PHI0	Positioning angle.
ALPH0	Inclination angle versus x-axis.
CURNTB	Current, all Blocks affected (for optimization).
DRI	Radius of the conductor in Block.
DHI	Height of the conductor in Block.
DW0	Outer width of the conductor in Block.
DWI	Inner width of the conductor in Block.
DFAK	Zoom factor for width of conductor.
PHIV	Azimuthal displacement of the whole Block.
RSHIFT	Radial displacement of the whole Block.
XSHIFT	x-displacement of Blocks.
YSHIFT	y-displacement of Blocks.

Block geometry:

Variable	Description
INCLIN	Inclination angle of the last turn in bare block.
PHI1	Outer angle (inner radius) of block.
PHI2	Inner angle (inner radius) of block.
PHI3	Inner angle (outer radius) of block.
PHI4	Outer angle (outer radius) of block.
XPOS1	Position in x of corner 1 of the bare block.
XPOS2	Position in x of corner 2 of the bare block.
XPOS3	Position in x of corner 3 of the bare block.
XPOS4	Position in x of corner 4 of the bare block.
YPOS1	Position in y of corner 1 of the bare block.
YPOS2	Position in y of corner 2 of the bare block.
YPOS3	Position in y of corner 3 of the bare block.
YPOS4	Position in y of corner 4 of the bare block.
RPOS1	Radius of corner 1 of the bare block.

Plotting information 2-D

Geometry:

Variable	Description
NUMMC	Numbering of conductors.
NUMMB	Numbering of blocks.
NOCND	No plotting of conductors.
WEDGE	Plot the wedges between blocks and the endspacer. Only works with the "Wedge/Endspacer"-option in the "Main Options".

Interface options

Option	Description
Autocad	AUTOCAD-readable file to plot the cross-section.
MS Excel	Comma-delimited list of corner-coordinates of each conductor.
Extended Printout	Extended print into .output-file.
2-D Line Currents	Produces a filename.fila2-D-file which contains two tables: (1) a table with the corner points of the current-carrying areas and (2) a table with the position of the individual line currents in the model.
.iron File of Wedges	Only works with the "Wedge/Endspacer"-option in the "Main Options". Creates a file called wedges.iron.

3-D coil modeling

The input parameters for the coil-end generation are the z-position of the innermost conductor of each coil-block, its inclination angle, the length of the straight section and the size of the inter-turn spacers between the conductors. For the automatic generation of the coil-end region, three options are available:

Coil-ends with or without inter-turn shims and conductors placed on the winding mandrel.
Coil-ends with grouped conductors wound on end-spacers with shelves which provide for support from below and result in an alignment of the conductors at the outer radius of the end-spacers.
Race-track coil-ends with or without additional straight sections. With this option it is possible to model solenoid and torus magnets.

Many options set in 2-D design have important consequences for 3-D modeling, e.g., type of coil: racetrack, cosine-theta, single wires. The 2-D options are not reiterated in this section.

Main options

Option	Description
3-D Coil Geometry	Tell ROXIE that we are doing coil ends.
Wedge/Endspacer	Only with "3-D Coil Geometry" - tell ROXIE to do endspacer design. Not available for Window Frame magnets (Racetrack coils).

Global information 2-D

Option	Description
Window Frames	Racetrack-type coils.

There is an old and a new version of reacetrack coil-end generation. They are distinguished by the "Etype"-value in the "Block Data 3-D"-table. The new algorithms use end types 60 and 70, see Section 11.2.3.

Global information 3-D

The following options are available for in the "Global Information 3-D"-widget:

Option	Description
Additional Bricks	Add arbitrarily shaped conductors.
Additional Leads	Add conductors that can be modeled by radius/positioning angle/inclination angle.
Rutherford Cable Model	This option is currently not supported.
Super-Elliptical Coil End	Use of a hyper-ellipse as a coil-end baseline in the sz-plane.
Coil Imaged at z=0-Plane	Symmetric coil w.r.t. xy-plane. The 2nd half of the coil is not plotted in postscript plots. It is, however, taken into account in field computations. ROXIE assures the correct powering of the imaged half.
Helical Coils	Experimental option to calculate fields and forces from helical coils (tilted solenoids, double-helix, etc.).

The Helical Coils option uses the "Block Data 2-D" and "Block Data 3-D" widgets for an input. The variables have a different meaning, when "Helical Coils" is switched 'on', see Section Helical Coils.

More relevant data in the "Global Information 3-D"-widget is given:

Variable	Description
Maximum Size of Coil Ends	This number is used in the automatically produced plots (yz- and sz-plane sections of coil ends. It determines also the maximum length of endspacers.
Number Of Blocks in Outer Layer	The first N blocks in the "Block Data 2-D"-table are ascribed to the outer layer.
Cable Size Increase in Ends	The cable size increases linearly over the coil end up to the apex. The option is similar to the BULGE-option in the "Coil Ends (Differential Forms)"-menu of the "Design Variables".
Number of Cuts in z-Plane	Discretization density in z-direction.
Length of Extension into -z-Direction	Coil end starts at a negative z-value.

Generally, the "Number Of Blocks in Outer Layer"-option only works with the "Symmetric Coil"-option from the "Main Options" and not with the "Layer Definition". This has repercussions on the 3-D plotting of coil ends and endspacers. The option is also commonly used to design unsymmetric endspacers for connection-side coil-ends. Here, the blocks on one side are ascribed to the 'outer layer' and two independent sets of spacers can be designed.
Don't use a none-zero "Length of Extension into -z-Dir." together with the "Coil maged at z=0 Plane"-option in the "Global Information 3-D"! ROXIE won't complain but the result is not reasonable.

Layers

In addition to those layer symmetry-types that were introduced in 2-D, the following geometry types are available for 3-D coil end design.

Input	Description
22	Dipole Connection Side
24	Quadrupole Connection Side
26	Sextupole Connection Side
28	Octupole Connection Side
30	Dekapole Connection Side
32	Duodekapole Connection Side
31	Window Frame Dipole
41	Solenoid
42	Up-down symmetric (combined function magnet)
52	Dipole, Both Ends in 3-D
54	Quadrupole, Both Ends in 3-D
56	Sextupole, Both Ends in 3-D
58	Octupole, Both Ends in 3-D
60	Dekapole, Both Ends in 3-D
62	Duodekapole, Both Ends in 3-D

"Connection Side" means that each block is only used to give one half of a coil end. This is necessary as connection-side coil ends are generally assymmetric. Two blocks are needed to model one arc. The "Both Ends in 3-D"-option has the same functionality as the "Coil Immaged at z=0-Plane"-option in the "Global Information 3-D"-widget.

Block data 3-D

Variable Description

Ne Row number/number of coil-end definition. Beta Beta angle. Bo Long half-axis of ellipse on cylinder. Zo Straight Section. Wi Wedge inner width. Wo Wedge outer width. Hwed Wedge height. Tend Type of coil-end (layer definition). Etype Conductor alignment in coil-end.

Design variables

Layer:

Variable	Description
DBZ0L	Long half axis of the ellipse of coil end in block.
DZZ0L	Straight section of coil end in block.

Coil Ends:

Variable	Description
DBZ0	Long half axis of ellipse of coil end (if "Layer Definition" is 'off').
DZZ0	Straight section of coil end (if "Layer Definition" is 'off').
DZZR	Straight section relative to the previous block.
BETAZ	Inclination angle of block in yz-plane.
CENTER	Shifts the center of the turns.
EXTRXS	x-shift in xy-plane (saved for extrusion).
EXTRYS	y-shift in xy-plane (saved for extrusion).
EXTRPH	PHI turn in xy-plane (saved for extrusion).
DPERMF	Perimeter adjustment for conductor. Shift the lower edge of the conductor towards the magnet center.
DPERMB	Perimeter adjustment for all conductors in block. Shift the lower edge of the conductors towards the magnet center.
PERIMI	Perimeter adjustment for the inner surface of the specified spacer. Shift the lower edge of the inner surface towards the magnet center.
PERIMO	Perimeter adjustment for the outer surface of the specified spacer. Shift the lower edge of the outer surface towards the magnet center.
DYZS	y-shift of conductor in yz-plane.
DZZS	z-shift of conductor in yz-plane.
DYZSB	y-shift of block in yz-plane.
DZZSB	z-shift of block in yz-plane.
DYZSL	y-shift of layer in yz-plane.
DZZSL	z-shift of layer in yz-plane.

Coil Ends (Differential Forms):

Variable	Description
BOVERA	b/a-ratio.
HORDER	Order of ellipse.
BULGE	Bulge amplitude. Not to be confused with the BULGE-option in the "Objectives"-table which corresponds to the classical constant-perimeter coil end.
TORS1	Additional torsion (in radians).
TORS2	Additional torsion (in radians).
TORS3	Additional torsion (in radians).
TORS4	Additional torsion (in radians).

The differential-geometry based 3-D coil-end design can now be used for field calculations and, in a limited way, for post-processing. Note that differential-geometry based coil-end design is an option for cosine-theta type magnets with the conductors aligned on the winding mandrel.
The BULGE-parameter lets the user simulate the bulge effect of conductors in a coil-end block due to deformations of the cable in the coil winding process. In practice, the block are often less compacted on the lower edge than on the upper edge. The bulge amplitude releases the lower outer edge of the coil-block model.

3-D Transform:

Variable	Description
TRANSZ	z-shift of the coil-blocks in 3-D.
TRANSX	x-shift of the coil-blocks in 3-D.
TRANSY	y-shift of the coil-blocks in 3-D.
TRAIMZ	Imaging of 3-D coil-blocks at the xy-plane.
TRANSF	Turn block (in degrees) in the xy-plane to y-axis (Roll).
TRANST	Turn the block (in degrees) in zy-plane to y-axis (Tilt).
TRANSO	Turn the block (in degrees) in xz-plane to z-axis (Swing).
TRANIX	Additional straight section inserted in x-direction, compare Section Racetrack coil.
TRANLZ	z-shift of the layer in 3-D.
TRANLX	x-shift of the layer in 3-D.
TRANLY	y-shift of the layer in 3-D.
TRAILZ	Imaging of 3-D coil end at the xy-plane.
TRANLF	Turn layer (in degrees) in the xy-plane to y-axis (Roll).
TRANLT	Turn the layer (in degrees) in zy-plane to y-axis (Tilt).
TRANLO	Turn the layer (in degrees) in xz-plane to z-axis (Swing).

Note that when using the TRAIMZ- or TRAILZ-options, the user has to ensure the correct powering of the imaged blocks/layers. In general this means an inversion of the sign of the block current with respect to the blocks/layers that are not mirrored.

Plotting:

Variable	Description
BLOCKC	Color index for blocks in 3-D - 1: blue, 2: dark blue, 3: red.
BRICKC	Color index for bricks in 3-D - 4: orange, 5: green, 0: invisible.

Objectives

Conductor Data:

Variable	Description
DTWLE	Twist per unit length.
CURVAT	Maximum curvature in the block. The geodesic curvature in a constant-perimeter coil end is calculated. Not to be confused with GEODE, the geodesic curvature parameter for differential-geometry coil ends.
BULGE	Bulge factor in the conductor. The bulge factor calculates the deviation from a constant perimeter coil end. Not to be confused with the BULGE-option for differential-geometry coil ends in the "Design Variables"-table.

Block (Input) Data:

Variable	Description
DBZ0	Long half axis of ellipse of coil end.
DZZ0	Straight section of coil end.
BETAZ	Inclination angle of block in yz-plane.

Coil Ends (Differential Forms):

Variable	Description
TORSIO	Maximum torsion in M^-1.
NORMA	Maximum normal curvature in M^-1.
GEODE	Maximum geodesic curvature in M^-1.
GEOSTR	Integral of geodesic curvature squared over the entire block. Proportional to strain energy in the block in M^-2.
EREG	Penalty if the edge of regression in the strip.

The differential-geometry based 3-D coil-end design can now be used for field calculations and, in a limited way, for post-processing.

Plotting information 3-D

Variable	Description
CURVAT	Min/max curvature k on broad/narrow sides, R=1/k. This is not a curvature parameter calculated with the differential geometry method.
SUN	Sunshine on coil ends.
COIL	Plotting of coil-blocks.
BRICKS	Plotting of additional bricks and leads.
SPACER	Plotting of end spacers.

Automatic generation of plots. With the "3-D Coil Geometry"-option switched 'on' in the "Main Options" a number of plots is automatically generated, whenever postscript plots are done. The first is a cut through the yz-plane. The second shows the outer layer blocks in the sz-plane in a split representation. The left half shows the lower edge of the cables, the right half shows the upper edge. The third plot gives the same split representation of all coil-blocks. Finally, the fourth automatically produced plot yields only the upper edge of all conductors in the sz-plane.
Also the "Wedge/Endspacer"-option in the "Main Options" leads to an automatic plot of enspacer shapes in the the yz- and sz-planes.

Interface options

Option	Description
CNC Machine files	Endspacer Design Output.
Opera 8-node Bricks	3-D bricks of the coil end for the "Opera" field calculation program.
Opera 20-node Bricks	3-D bricks of the coil end for the "Opera" field calculation program.
Virtual Reality (3-D)	Writes a filename.wrl-file which can be opened by any VRML-browser for an interactive 3-D-view of the coils.
3-D Line Currents	Produces a filename.fila3-D-file which contains information on the positioning of line currents in the 3-D coil model.
Input Data from 'BEND'	Read-in coil end from the 'BEND' coil-end design program.
Strips from Darboux Vectors	Design differential geometry-based coil ends.

The "Strips from Darboux Vectors"-option switches the coil-end design method from constant-perimeter coil ends to differential-geometry based coil ends.

Additional Bricks

The input for additional bricks is made in two tables. The first table describes the current in a conductor, the number of strands and the number of cuts in the conductor. The second table defines the cuts for each conductor. Choosing a conductor in the first table activates the respective second table. The table data is defined as follows:

Variable	Description
Current	Current in the additional conductor.
N1	Number of strands from corner 1 to 4 and 2 to 3.
N2	Number of strands on side 1-2 and 3-4.
Ncut	Number of cuts to define the conductor.

Variable	Description
Xcut	x-coordinate of a corner of a cutting plane.
Ycut	y-coordinate of a corner of a cutting plane.
Zcut	z-coordinate of a corner of a cutting plane.

Four lines in the second table define one cutting plane of a conductor. The number of cutting planes equals the number of bricks plus one.

Additional leads

The input-scheme for additional leads is similar to that of additional bricks. Two tables define a conductor and the positioning of the conductor in the cut planes. The first table defines one conductor type per lead:

Variable	Description
Current	Current in the conductor.
N1	Number of Strands in radial direction.
N2	Number of Strands in azimuthal direction.
Div.	Number of divisions in z-direction.
Condname	Name of the conductor in roxie.madata- or roxie.cadata-file.

Variable	Description
Icc	Positioning of the lead: '0': the position defined by r/\varphi is in the middle between corners 1 and 2; '1': r/\varphi define corner 1.
Radius	Positioning radius.
Phi0	Positioning angle.
alph0	Inclination angle.
Z0	z-position of cutting plane.

One line in the second table defines one cutting plane of the additional lead.