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Magnetostatics How to do the QuickField part of your project (Spring 2019)

 

 

MAGNETOSTATIC PROBLEM

1

 

 

Two-wire line and steel cylinder

Due to symmetry

we only need upper half of the model

 

+I

I

 

 

 

 

 

 

 

 

 

Parameter

Notation

Value

 

 

 

 

 

 

 

Distance from cylinder to wire

a

125 cm

 

 

Distance between wires

b

45 cm

 

 

 

 

 

 

 

 

 

Radius of cylinder

R

50 cm

 

 

 

Diameter of wire

D

1 cm

 

 

Permeability of cylinder

µR

400

 

 

 

 

 

 

 

Wire current

I

400 A

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

2

Create QuickField Problem

Formulation:

Geometry class:

Axial Length:

Magnetostatics

Plane-parallel

1 m

Note!

Bx

B = rotA

By

= A y

= − A x

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

3

 

 

Draw the Model Geometry (1/2)

We introduce an artificial outer boundary far enough from the line and the cylinder

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

4

 

 

Draw the Model Geometry (2/2)

Use the Shape Inserter Tool (Edit / Insert Shape)

Choose a Circle

Anchor Point

Circle Diameter

Coordinates

of Anchor Point

The geometry contains 4 circles:

1.The steel cylinder,

2.Left wire

3.Right wire

4.Artificial outer boundary

And the horizontal diameter of the circular outer boundary

 

 

Diameter

XC

YC

 

 

Cylinder

100

0

0

 

 

 

 

 

 

 

 

Left wire

1

125

0

 

 

 

 

 

 

 

 

Right wire

1

170

0

 

 

 

 

 

 

 

 

Outer Boundary

2000

0

0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

5

Using Symmetry of the Model

A = 0

 

Due to symmetry about X-axis, lower part of the model can be removed (including all semicircles below the X-axis).

Then we have to reflect the removed part by means of boundary condition on the X-axis:

HX=0 dA/dy = 0,

i.e. dA/dn = 0

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

6

 

 

Name all important geometry entities

In order to assign materials, field sources and boundary conditions, we have to give unique names to:

1.All blocks, including:

a)Steel cylinder,

b)Left wire

c)Right wire

d)Surrounding air

2.Outer edges, including:

a)Symmetry axis

b)Artificial outer boundary

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

7

 

 

Control the Mesh Density
To get accurate solution, the mesh density should be manually optimized. Steel cylinder Conductor
Semicircular outer boundary
WEEK 2. QUICKFIELD FUNDAMENTALS

8

Material Properties and Field Sources

Right wire

 

(negative current)

Steel cylinder

Halved given current

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

9

 

 

Boundary Conditions Zero Dirichlet

condition

Zero Neumann

condition

 

 

WEEK 2. QUICKFIELD FUNDAMENTALS

10

 

 

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