Tutorial MagnetoStatics .pdf



Nom original: Tutorial_MagnetoStatics.pdfTitre: FluxAuteur: Jelena Bartak

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CAD Package for Electromagnetic and Thermal
Analysis using Finite Elements

Flux®10 2D

Application

Tutorial of Magnetostatics

Copyright – July 2009

Flux is a registered trademark.

Flux software :
Flux tutorials :

COPYRIGHT CEDRAT/INPG/CNRS/EDF
COPYRIGHT CEDRAT

This tutorial was edited on 1 July 2009
Ref.: K205-10-EN-07/09

CEDRAT
15 Chemin de Malacher - Inovallée
38246 Meylan Cedex
FRANCE
Phone: +33 (0)4 76 90 50 45
Fax: +33 (0)4 56 38 08 30
Email: cedrat@cedrat.com
Web: http://www.cedrat.com

Foreword
About the
tutorial

The objective of this document is to discover and master the various
functionalities of the software using the example of a simple device.
This tutorial contains the general steps and all the data needed to describe the
physics and the computation of the sensor model. Geometry and mesh of the
sensor model are already described in the Flux 2D Generic Tutorial of
Geometry and Mesh.

Required
knowledge

Before proceeding with this tutorial, the user must understand the
functionalities of the Flux software. The user can gain this knowledge by
initially completing the Generic tutorial. The Flux 2D Generic Tutorial of
Geometry and Mesh explains in detail all actions to build the geometry and
mesh of the study domain.

Path

The files corresponding to the different cases studied in this tutorial are
available in the folder:
…\DocExamples\Examples2D\MagnetostaticApplication\

Command files
and Flux files

The files provided for this tutorial are:
• command files,
come in handy to build the Flux projects
• Flux files
already built project files
The use of files is explained in the table below.

To describe …
the geometry
and mesh
the physics
Case 1
Case 2

2D Generic Tutorial

the user can
execute the
command file
GeoMesh_2D.py

§ 2.1of this tutorial
§ 3. of this study
§ 4. of this study

GeoMeshPhys.py
Case1.py
Case2.py

follow

recover the Flux file*
SENSOR_2D.FLU
GEO_MESH_PHYS.FLU
CASE1.FLU
CASE2.FLU

* Flux files are ready to be meshed and then solved.

Flux®10

Table of Contents

Table of Contents
1. General information .................................................................................................................1
1.1.

1.2.

Overview .......................................................................................................................................3
1.1.1. Description of the studied device....................................................................................4
1.1.2. Studied cases .................................................................................................................5
Strategy to build the Flux project ..................................................................................................6
1.2.1. Main phases for physical description..............................................................................7

2. Construction of the Flux project ...............................................................................................9
2.1.

Physical description process.......................................................................................................10
2.1.1. Define the physical application .....................................................................................11
2.1.2. Create materials ...........................................................................................................12
2.1.3. Create face regions ......................................................................................................13
2.1.4. Create measuring coils: coil conductors components and coil conductor regions.......14
2.1.5. Assign face regions to faces.........................................................................................15
2.1.6. Orient material for face region ......................................................................................16

3. Case 1: static study ...............................................................................................................17
3.1.
3.2.

Case 1: solving process ..............................................................................................................18
Case 1: results post-processing..................................................................................................19
3.2.1. Compute and display isovalues of the magnetic flux density on volume regions ........20
3.2.2. Compute and display arrows of the magnetic flux density in faces region...................21
3.2.3. Create 2D grid for computation and display isovalues of the magnetic flux
density...........................................................................................................................22
3.2.4. Compute and display isovalues of the magnetic flux density on a 2D grid ..................23
3.2.5. Compute and display isovalues of the magnetic field strength on a 2D grid................24
3.2.6. Compute the magnetic flux density on a point .............................................................25
3.2.7. Plot a 2D curve of the magnetic field strength along a path.........................................26
3.2.8. Compute the magnetic force on face regions...............................................................28

4. Case 2: parametric computation............................................................................................29
4.1.

4.2.

Case 2: solving process ..............................................................................................................30
4.1.1. Create sensors .............................................................................................................31
4.1.2. Define the solving scenario and solve the project ........................................................32
Case 2: results post-processing..................................................................................................33
4.2.1. Display a color-shaded plot of the magnetic flux density (alpha=120°) .......................34
4.2.2. Display arrows of the magnetic flux density (alpha=120°) ...........................................35
4.2.3. Plot a 2D curve of the flux through coil conductors versus an I/O parameters (for
alpha=120°) ..................................................................................................................35

PAGE A

Flux® 10

1.

General information

General information

Introduction

This chapter contains the presentation of the studied device and the Flux
software.

Contents

This chapter contains the following topics:
Topic
Overview
Strategy to build the Flux project

MAGNETOSTATICS

See Page
3
6

PAGE 1

General information

PAGE 2

Flux®10

MAGNETOSTATICS

Flux® 10

1.1.

General information

Overview

Introduction

This section presents the studied device (a variable reluctance speed sensor)
and the strategy of the device description in Flux.

Contents

This section contains the following topics:
Topic
Description of the studied device
Studied cases

MAGNETOSTATICS

See Page
4
5

PAGE 3

Flux®10

General information

1.1.1. Description of the studied device

Studied device

The device to be analyzed is a variable reluctance speed sensor.
The studied device consists of:
• a cogged wheel (made of steel) with three teeth
• two probes with a magnet (made of ferrite) and a coil around each
The physical model of the studied device is presented in the figure below.
COIL 1+
MAGNET 1

WHEEL

PROBE 1

COIL 1-

COIL 2+

MAGNET 2

PROBE 2

COIL 2-

Operating
principle

PAGE 4

The rotation of the cogged wheel near the tip of the probes changes the
magnetic flux, creating an analog voltage signal that can be measured in
probes.

MAGNETOSTATICS

Flux® 10

General information

1.1.2. Studied cases

Studied cases

Case 1

Three cases are carried out in a Magneto Static application:
• case 1: static study
• case 2: multi-parametric computation

The first case is a static study.

This study is a very easy problem of Magneto Statics. In this study, a magneto
static analysis of the sensor is performed in a medium position: the two
probes between two teeth. A geometric parameter α, which allow us to
control the angle of the wheel around Z axis, has a fixed value α = 75° The
coils are not current supplied (=measuring coils)

Case 2

The second case is a parametric computation.

The angle of the cogged wheel will vary. In this parameterized study, the
geometric parameter is the angle α that varies in the range [75°, 195°] with a
step of 3°.

MAGNETOSTATICS

PAGE 5

Flux®10

General information

1.2.

Strategy to build the Flux project

Introduction

This section presents outlines of physical properties description process of the
sensor.

Contents

This section contains the following topics:
Topic
Main phases for physical description

PAGE 6

See Page
7

MAGNETOSTATICS

Flux® 10

General information

1.2.1. Main phases for physical description

Outline

An outline of the physical description process of the sensor is presented in
the table below.
Stage
1

2

3

4

Description
Definition of the
application and
definition of the
depth of the domain

• Magneto Static 2D
(solved with Flux 3D solver)
• 2D plan (6mm)

• FERRITE – magnet with a linear B(H)
Creation of two
characteristic
materials
• STEEL – ferromagnetic material with a
non linear B(H) characteristic
• AIR_EXT region, corresponding with the
air surrounding the device
• AIR_WHEEL region, corresponding with
Creation of four face
the air in the cogged wheel
region
• MAGNET1 region corresponding with the
first magnet of the device
• MAGNET2 re region corresponding with
the first magnet of the device
• COIL_CONDUCTOR1
• COIL_CONDUCTOR2
• COIL1N region, corresponding with the
Creation of two
negative part of the first coil
coils:
• COIL1P region, corresponding with the
• Two components
positive part of the first coil
• Four face regions
• COIL2N region, corresponding with the
negative part of the second coil
• COIL2P region, corresponding with the
positive part of the second coil
Continued on next page

MAGNETOSTATICS

PAGE 7

Flux®10

General information

Main phases for physical description, Continued

Outline (continued)

Stage

Description
COIL1P
AIR_EXT
MAGNET1
COIL1N
WHEEL

5

COIL2P

Assignment of face
regions

MAGNET2
AIR WHEEL

COIL2N
INFINITE

6

PAGE 8

Material orientation

MAGNETOSTATICS

Flux® 10

2.

Construction of the Flux project

Construction of the Flux project

Introduction

This chapter contains the physical description of the sensor. For a more
detailed description of the basic geometry of the sensor, the user should
reference the Flux 2D Generic Tutorial of Geometry and Mesh. The user must
have good understanding of all functionalities of the Flux preprocessor.

Starting Flux
project

The starting project is the Flux project GEO_MESH.FLU.
This project contains:
• the geometry description of the contactor
• the mesh of the computation domain

New Flux
project

The new Flux project is GEO_MESH_PHYS.FLU.

Contents

This chapter contains the following topics:
Topic
Physical description process

MAGNETOSTATICS

See Page
10

PAGE 9

Construction of the Flux project

2.1.

Flux®10

Physical description process

Introduction

This section presents the definition of the physical properties – materials and
regions.

Contents

This section contains the following topics:
Topic
Define the physical application
Create materials
Create face regions
Create measuring coils
Assign face regions to faces
Orient material for face region

PAGE 10

See Page
11
12
13
14
15
16

MAGNETOSTATICS

Flux® 10

Construction of the Flux project

2.1.1. Define the physical application

Goal

First, the physical application is defined. The required physical application is
the Magneto Static 2D application.

Data

The characteristics of the application are presented in the table below.
Magneto Static 2D application
Definition
2D domain type
Depth of the domain
2D plane
6 mm

MAGNETOSTATICS

Solver
Flux3D solver

Coils
Coefficient
Automatic
Coefficient

PAGE 11

Flux®10

Construction of the Flux project

2.1.2. Create materials

Goal

Two materials are created directly for the physical description of the sensor;
the two materials are characterized by their magnetic properties:
• the first material is FERRITE defined for the coiled magnets
• the second material is STEEL defined for the cogged wheel

Data

The characteristics of the materials are presented in the tables below.
B(H) linear magnet described in the Br module
Name
FERRITE

Remanent flux density (T)
0.8

Relative permeability
1

B(H) isotropic analytic saturation (arctg 2 coef.)

PAGE 12

Name

Initial relative permeability

STEEL

5000

Saturation magnetization
(T)
1.9

MAGNETOSTATICS

Flux® 10

Construction of the Flux project

2.1.3. Create face regions

Goal

Five face regions are necessary for the physical description of the sensor.
Five following face regions will be created:
• the AIR_EXT region, corresponding with the air surrounding the device
• the AIR_WHEEL region, corresponding with the air in the cogged wheel
• the MAGNET1 region, corresponding with the first magnet of the device
• the MAGNET2 region, corresponding with the second magnet of the device
• the WHEEL region, corresponding with the cogged wheel
The INFINITE region, already created during the infinite box creation, will be
edited to activate its physical properties.

Data

The characteristics of the face regions are presented in the table below.
Face region
Name
AIR_EXT

AIR_WHEEL
INFINITE*
MAGNET1
MAGNET2
WHEEL

Type

Air or vacuum region
Air or vacuum region
Air or vacuum region
Magnetic non-conducting region
Magnetic non-conducting region
Magnetic non-conducting region

Material

FERRITE
FERRITE
STEEL

Color

Turquoise
Turquoise
Turquoise
Magenta
Magenta
Cyan

*The region already created and assigned during the creation of the infinite box,
however the user need to enter the type of the region.

MAGNETOSTATICS

PAGE 13

Flux®10

Construction of the Flux project

2.1.4. Create measuring coils: coil conductors components
and coil conductor regions

Goal

Two coils are created to measure the flux density.

About coil

In magnetic applications, a coil is represented by one face region or by a
group of face regions of the coil conductor type.
The value I of the current in a wire (or turn) of the coil is set by means of
an electric component (of coil conductor type) associated to the coil.

Data (1)

The characteristics of the electric components (of coil conductor type) are
presented in the table below:
Stranded coil conductor with imposed current (A)
Name
COIL_CONDUCTOR1
COIL_CONDUCTOR2

Data (2)

comment
Coil conductor on the first coil
Coil conductor on the second coil

Value
0
0

The characteristics of the regions (of coil conductor type) are presented in the
table below:
Coil conductor type region
Component

Face region

COIL1N
COIL1P
COIL2N
COIL2P

COIL_CONDUCTOR1
COIL_CONDUCTOR1
COIL_CONDUCTOR2
COIL_CONDUCTOR2





PAGE 14

Orientation

Turn number

Series or
parallel

Color

negative
positive
negative
positive

1000
1000
1000
1000

series
series
series
series

red
red
red
red

the COIL1N region, corresponding with the negative part of the first coil
the COIL1P region, corresponding with the positive part of the first coil
the COIL2N region, corresponding with the negative part of the second coil
the COIL2P region, corresponding with the positive part of the second coil

MAGNETOSTATICS

Flux® 10

Construction of the Flux project

2.1.5. Assign face regions to faces

Goal

The INFINITE region has been already assigned during the creation of the
infinite box. The nine regions (AIR_EXT, AIR_INT, WHEEL, COIL1P,
COIL1N, MAGNET1, COIL2P, COIL2N, and MAGNET2) are assigned to
faces.

Outline

The region assignment is presented in the figure below.

COIL1P
AIR_EXT
MAGNET1

WHEEL

COIL1N

COIL2P

MAGNET2
AIR_WHEEL

COIL2N
INFINITE

MAGNETOSTATICS

PAGE 15

Flux®10

Construction of the Flux project

2.1.6. Orient material for face region

Goal

An orientation of the material region is needed to describe physics.

Data

The orientation of the material region is related in the table below
Orient material for face region
Name
MAGNET1
MAGNET2

PAGE 16

Oriented type
Direction
Direction

Coordinate system
PROBE_CS
PROBE_CS001

Angle
0
0

MAGNETOSTATICS

Flux® 10

3.

Case 1: static study

Case 1: static study

Case 1

The first case is a static study.

This study is a very easy problem of Magneto Statics. In this study, a magneto
static analysis of the sensor is performed in a medium position: the two
probes between two teeth. A geometric parameter α, which allow us to
control the angle of the wheel around Z axis, has a fixed value α = 75° The
coils are not current supplied (=measuring coils)

Starting Flux
project

The starting project is the Flux project GEO_MESH_PHYS.FLU. This
project contains:
• the geometry description of the device
• the mesh and computation domain
• the initial physical description of the contactor

Project name

The Flux project is saved under the name of CASE1.FLU

Contents

This chapter contains the following topics:
Topic
Case 1: solving process
Case 1: results post-processing

MAGNETOSTATICS

See Page
18
19

PAGE 17

Flux®10

Case 1: static study

3.1.

Case 1: solving process

Introduction

This section explains how to solve case 1.

Flux module

The Flux module is Preflu2D.

Action

Case 1 is solved using the default scenario with reference values.

PAGE 18

MAGNETOSTATICS

Flux® 10

3.2.

Case 1: static study

Case 1: results post-processing

Introduction

This section explains how to analyze the principal results of case 1.

Contents

This section contains the following topics:
Topic
Compute and display isovalues of the magnetic flux density on
volume regions
Compute and display arrows of the magnetic flux density in
faces region
Create 2D grid for computation and display
Compute and display isovalues of the magnetic flux density on
a 2D grid
Compute and display isovalues of the magnetic field strength
on a 2D grid
Compute the magnetic flux density on a point
Plot a 2D curve of the magnetic field strength along a path
Compute the magnetic force on face regions

MAGNETOSTATICS

See Page
20
21
22
23
24
25
26
28

PAGE 19

Flux®10

Case 1: static study

3.2.1. Compute and display isovalues of the magnetic flux
density on volume regions

Goal

The scalar quantities of the magnetic flux density are computed on the
selected volume region and displayed via isovalue plot of color shadings.

Data

The characteristics of the isovalues are presented in the table below:
Isovalues on face region
Face region
AIR_EXT
COIL1P
COIL1N
COIL2P
COIL2N
MAGNET1
MAGNET2
WHEEL

Result

PAGE 20

Formula

Mod(B)

The following chart shows the magnetic flux density on the AIR_EXT,
COIL1P, COIL1N, COIL2P, COIL2N, MAGNET1, MAGNET2, and
WHEEL face regions.

MAGNETOSTATICS

Flux® 10

Case 1: static study

3.2.2. Compute and display arrows of the magnetic flux
density in faces region

Goal

The vector quantities of the magnetic flux density are computed in the
selected face regions and displayed in the form of arrows.

Data

The characteristics of the arrows are presented in the table below.
Arrows in Face regions
Volume region
AIR_EXT
COIL1P
COIL1N
COIL2P
COIL2N
MAGNET1
MAGNET2
WHEEL

Result

MAGNETOSTATICS

Formula

(B)

The following arrows show direction and magnitude of the magnetic flux
density in the AIR_EXT, COIL1P, COIL1N, COIL2P, COIL2N, MAGNET1,
MAGNET2 and WHEEL face regions.

PAGE 21

Flux®10

Case 1: static study

3.2.3. Create 2D grid for computation and display isovalues
of the magnetic flux density

Goal

One 2D grid is created midpoint of the second stranded coil

Data

The characteristics of the 2D grid are presented in the table below.
Rectangular 2D grid in XY plane: definition
Name

Comment

Coordinate system

GRID_ONMAGNET

For the magnet

PROBE_CS

2D grid origin coordinates
First
Second
0
0

Rectangular 2D grid in XY plane: definition
Characteristics along X
Number of
Positive X Negative X
disc. elements
12
12
30

Characteristics along Y
Number of
Positive Y Negative Y
disc. elements
6
6
20

Rectangular 2D grid in XY plane: appearance
Visibility
visible

PAGE 22

Color
green

MAGNETOSTATICS

Flux® 10

Case 1: static study

3.2.4. Compute and display isovalues of the magnetic flux
density on a 2D grid

Goal

The scalar quantities of the magnetic flux density are computed on the 2D
grids and displayed via isovalue plots of color shadings.

Data

The characteristics of the isovalues are presented in the table below.
Isovalues on 2D grid
2D grid
GRID_ONMAGNET

Result

MAGNETOSTATICS

Formula
Mod(B)

The following chart shows the magnetic flux density on the
GRID_ONMAGNET grid

PAGE 23

Flux®10

Case 1: static study

3.2.5. Compute and display isovalues of the magnetic field
strength on a 2D grid

Goal

The scalar quantities of the magnetic flux density are computed on the 2D
grids and displayed via isovalue plots of color shadings.

Data

The characteristics of the isovalues are presented in the table below.
Isovalues on 2D grid
2D grid
GRID_ONMAGNET

Result

PAGE 24

Formula
Mod(H)

The following chart shows the magnetic field strength on the
GRID_ONMAGNET grid

MAGNETOSTATICS

Flux® 10

Case 1: static study

3.2.6. Compute the magnetic flux density on a point

Goal

The magnetic flux density is computed on the selected point.

Data

The characteristics of the point are presented in the table below.
Quantities computation on points
Name

Comment

POINT1 Center of the magnet

Formula
B

Point defined by its coordinates
Coordinates
first
second
0
0

Result

MAGNETOSTATICS

localization

Coord. system

Region

no constraint

PROBE_CS001

MAGNET2

The following values show the X and Y components of the magnetic flux
density at the above-described point.

PAGE 25

Flux®10

Case 1: static study

3.2.7. Plot a 2D curve of the magnetic field strength along a
path

Goal

The variation of the magnetic flux density is computed along the selected path
and displayed as curve.

Data (1)

The characteristics of the path are presented in the table below.
Path defined by 2 points
Name
SEGMENT

Comment
Along the magnet

Definition
by coordinates

Discretization
50

Path defined by coordinates
Path points
Starting point
Ending point
Coordinates
Coordinates
Coord. system
Coord. system
First Second
First
Second
PROBE_CS001
-15
0
PROBE_CS001
15
0

Data (2)

The characteristics of the curve are presented in the table below.
2D curve (XYZ path)
Name
CURVE

Comment
Magnetic field strength along
the segment in magnet

Path

Formula

SEGMENT

H

Continued on next page

PAGE 26

MAGNETOSTATICS

Flux® 10

Result

MAGNETOSTATICS

Case 1: static study

The following curves show the components of the magnetic field strength
along the X and Y -axes.

PAGE 27

Flux®10

Case 1: static study

3.2.8. Compute the magnetic force on face regions

Goal

The value of the magnetic force is computed on the selected volume region
and the result of computation is displayed in the dialog box.

Data

The characteristics of the magnetic force computation are presented in the
table below.
Predefined magnetic force
Name
FORCE_MAGNET

Result

PAGE 28

Face region
MAGNET2

The following dialog box shows the result of computation of the magnetic
force on the MAGNET2 face region.

MAGNETOSTATICS

Flux® 10

4.

Case 2: parametric computation

Case 2: parametric computation

Case 2

The second case is a parametric computation.

The angle of the cogged wheel will vary. In this parametric study, the
geometric parameter is the angle α that varies in the range [75°, 195°] with a
step of 3°.

Starting Flux
project

The starting project is the Flux project GEO_MESH_PHYS.FLU. This
project contains:
• the geometry description of the device
• the mesh and computation domain
• the initial physical description of the contactor

Project name

The new Flux project is saved under the name of CASE2.FLU.

Contents

This chapter contains the following topics:
Topic
Case 2: solving process
Case 2: results post-processing

MAGNETOSTATICS

See Page
30
33

PAGE 29

Case 2: parametric computation

4.1.

Case 2: solving process

Introduction

This section explains how to prepare and solve case 2.

Flux module

The Flux module is Preflu_2D.

Contents

This section contains the following topics:
Topic
Create sensors
Define the solving scenario and solve the project

PAGE 30

Flux®10

See Page
31
32

MAGNETOSTATICS

Flux® 10

Case 2: parametric computation

4.1.1. Create sensors

Goal

Two sensors are created to compute the magnetic flux through the coils

Data

The characteristics of the sensors are defined in the table below.
Predefined sensor : Flux through a coil conductor
Name
FLUX_PROBE1
FLUX_PROBE2

MAGNETOSTATICS

Coil Conductor
COIL_CONDUCTOR1
COIL_CONDUCTOR2

PAGE 31

Flux®10

Case 2: parametric computation

4.1.2. Define the solving scenario and solve the project

Goal

The scenario with the controlled geometrical parameter is defined for a
varying solving process.

Data

The characteristics of the solving scenario are presented in the tables below.
Solving scenario
Name
SCENARIO1

Comment
study using a geometrical parameter

Type
multi-values

Solving scenario
Parameter control

Action

PAGE 32

Controlled
parameter

Type

Lower
endpoint

ALPHA

Multi-values

75

Interval
Upper
Method
endpoint
step
195
value

Step value
3

Solve CASE 2 using the scenario 1 with parametric study.

MAGNETOSTATICS

Flux® 10

4.2.

Case 2: parametric computation

Case 2: results post-processing

Introduction

This section explains how to analyze the principal results of case 2.

Contents

This section contains the following topics:
Topic
Display a color-shaded plot of the magnetic flux density
Display arrows of the magnetic flux density
Display arrows of the magnetic flux density

MAGNETOSTATICS

See Page
34
35
35

PAGE 33

Flux®10

Case 2: parametric computation

4.2.1. Display a color-shaded plot of the magnetic flux
density (alpha=120°)

Goal

First, the computation step of the geometrical parameterized study is selected
(alpha=120°). Then, the scalar quantities of the magnetic flux density are
computed on the selected face regions and displayed via isovalue plots of
color shadings.

Data (1)

The characteristics of the scenario and computation step selection are
presented in the table below.
Scenario and computation step
Scenario
SCENARIO1

Data (2)

Computation step
Parameter name
Value
ALPHA
120

The characteristics of the isovalues are presented in the table below.
Isovalues on face region
Face region
AIR_EXT
COIL1N
COIL1P
COIL2N
COIL2P
MAGNET1
MAGNET2
WHEEL

Result

PAGE 34

Formula

Mod(B)

The following chart shows the magnetic flux density on the selected regions.

MAGNETOSTATICS

Flux® 10

Case 2: parametric computation

4.2.2. Display arrows of the magnetic flux density
(alpha=120°)

Goal

First, the computation step of the geometrical parameterized study is selected
(alpha =120). Then, the scalar quantities of the magnetic flux density are
computed on the selected face regions and displayed via arrows.

Data (1)

The characteristics of the scenario and computation step selection are
presented in the table below.
Scenario and computation step
Scenario
CASE2

Data (2)

Computation step
Parameter name
Value
ALPHA
120

The characteristics of the arrows are presented in the table below.
Arrows on face region
Face region
AIR_EXT
COIL1N
COIL1P
COIL2N
COIL2P
MAGNET1
MAGNET2
WHEEL

Result

MAGNETOSTATICS

Formula

(B)

The following chart shows the magnetic flux density on the selected regions.

PAGE 35

Flux®10

Case 2: parametric computation

4.2.3. Plot a 2D curve of the flux through coil conductors
versus an I/O parameters (for alpha=120°)

Goal

The values of the flux through the two coil conductor versus the angular
position of the cogged wheel are computed and displayed in a curve

Data

The characteristics of the curve are presented in the table below
2D curve (I/O parameter)

Name

Comment

Name

CURVE

Flux through coil conductor

ALPHA

Result

PAGE 36

Parameter
Lower
endpoint
75°

Upper
endpoint
195°

Formula
sensors
Flux_probe1
Flux_probe2

The following curves show the variation of flux through coil conductor in
function of the angle variation of the cogged wheel.

MAGNETOSTATICS


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