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Ansys电磁分析官方培训教材


Chapter 3
Section 1

Two Dimensional AC and Transient Analysis

AC Simulation - Basic Concepts
AC simulation is a time varying simulation – assumes that the ex

citation is sinusoidal

Excitation voltage (V) current density (A/m2)

Angle (degrees)
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-2





Can be represented by two field components – Field component in phase with 0 electrical angle – Field component at the -90 electrical angle Consider a conductive bar inside a stranded coil

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-3

Two dimensional axisymmetric finite element model

Conductive Bar

Flux parallel condition

Stranded Coil Current density: 1E6 A/m2 Frequency: 100Hz

Flux Normal Condition
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-4



Two solutions are produced: – Real solution: in phase with the coil excitation – Imaginary solution: -90 degrees out of phase Real Solution Imaginary Solution

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-5



Using the two solutions, the field at any time can be constructed using superposition

To view the animation of the field-execute the animation file:
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

acaz.avi
3.1-6



The time varying current in the coil induces a corresponding current in the bar based on Faradays Law

To view the animation of the currents-execute the animation file
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

acjt.avi
3.1-7



Additional assumptions – Simulation considers only inductive effects Faradays Law – Current induced in a stranded coil – Redistribution of current in a large conductor – RF effects are not considered – Simulation is inherently linear Geometry is invariant Homogeneous conditions remain homogeneous – Saturation can be simulated if BH data is used

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-8



The most noticeable effect of the current in the bar is the non-uniformity of the induced current.

Outer radius of bar

Center of Bar
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

(m)

3.1-9



The skin effect arises from the coupling of Amps Law and Faradays Law For a conductor comprised of a half plane, with out a source, the electric field decays by a factor of 1/e for each thickness of



δ = (π μ σ f) -1/2
where

(m)

μ = permeability = μr μ0 σ = electrical conductivity = 1 /ρ = electrical
resistivity (Ohm-m)

f = frequency of field (Hz)

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-10



Using the following data for the bar: μ = 100 μ0 μ0 = 1.2566E-6 (H/m) ρ= 2E-7 (Ohm-m) f = 100 (Hz) substituting, δ =[(3.1415)(100)(1.2566E-6)(.5E+7)(100)] -1/2 δ =.0023 m δ =2.3 mm Comparing to the graph, at 2.3 mm from the outer radius (at 7.7 mm), the current has decayed more than 1/e (2.71) of the surface value due to the axisymmetric shape

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-11



Three basic physical considerations for simulating AC conditions (1) Method of simulating the power to the coil / bars Current boundary conditions are applied – Current is known Actuators Induction heating Voltage boundary conditions are applied – The currents are simply not known Machines Non-idealized transformers with arbitrary loads

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-12

(2) Physics for the type of conductor Stranded conductor: Are the conductors sufficiently small to eliminate the effect of the eddy currents redistributing the currents in a nonuniform manner ? Typical applications: Transformer windings Machine windings Actuators windings

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-13

Massive conductor: The conductor is sufficiently large to permit eddy currents to be generated in the conductor. This allows the field and the current to be redistributed with the peak values occurring at one or more surfaces

Typical applications: Large conductors in transformers Squirrel cage rotor bars Induction heating

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-14

The effect of the eddy currents can be observed in the example of the cylindrical bar inside the stranded coil

Conducting Bar Current Density Magnitude (A/m2)

BSUM (T)

MX
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-15

MX

(3) The physics of the end conditions shorted condition at the end: Are the conductors physically connected at the end so as to allow current to flow between the conductors ?

Three Dimensional Conductor connected at the ends

Two Dimensional Model

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-16



Shorted condition at the end - only a portion of the conductor is modeled without the use of any symmetry conditions:

Three Dimensional Conductor connected at the ends

Section of the conductor not modeled Two Dimensional Model

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-17

Open circuit condition at the end: Are the conductors physically separated at the end so as to NOT allow current to flow between the conductors ?

Three Dimensional Conductor open circuited at the ends

Two Dimensional Model

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-18



Material property: – The additional material property to simulate the presence of eddy currents is resistivity ( RSVX)

Units: Ohm-meters
– Some element type options require the definition of resistively. Check the Help engine for the element options – RSVX can be temperature dependent

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-19



How to model laminates ? Laminates are intended to permit the use of permeable materials, but without the detriment of the development of eddy currents in the iron. However, the BH data as well as a single value permeability is a function of the frequency, the laminate material, and the laminate thickness. For most applications, the need to account for the the stacking factor is not required if an air gap is present. If required, the effect of the stacking factor can be implemented by factoring the permeability.

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-20



For laminates parallel to the flux: Flux Direction

μeff = S (μr - 1 ) + 1
where Laminate

μr = permeability of laminate S = Wi/(Wi+Wa) Wi = Wa =
thickness of a single laminate thickness of non-permeable material between the laminates

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-21



For laminates perpendicular to the flux:

μeff = μr / [μr - S (μr - 1 ) ]
where

Flux Direction

μr = permeability of laminate S = Wi/(Wi+Wa) Wi = Wa =
thickness of a single laminate

Laminate

thickness of non-permeable material between the laminates

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-22

Application: Embedded Conductor in a slot
Problem Description – Planar – Conductor is current fed – Conductor is considered to be a massive conductor – Conductor and air are embedded in an infinitely permeable slot Analysis objective – Build model – Apply the conditions – Perform simulation – Post process Flux lines Power loss

Air Iron



Conductor

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-23

Properties Conductor: μr = 1 ρ = 17.1 μΩ-mm Air: μr = 1 Air Iron Excitation AC current of 1 Amp (peak) @ 0 degrees Conductor

Slot: Infinitely permeable

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-24



Since the current is applied to the entire conductor section, the VOLT dof is required in the conductor Build two element types – element type 1 for the air – element type 2 for the conductor including the VOLT dof



– Preproc>element type>add/edit/delete For element type 2 - for the conductor

Planar application

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-25



Build the material property for free space (MURX =1) for material 1 Preproc>material props>isotropic (use Apply to select)



Build the material property for the conductor (MURX =1 and RSVX=17.1E-9) for material 2 Preproc>material props>isotropic

Select OK
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-26



Input the parameters for this model – A = 6.45 mm – B = 8.55 mm – C = 8.45 mm Use either – D = 18.85 mm 1) The command line – E = 8.95 mm

2) Utility>parameter>scalar

Enter a parameter and select Accept

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-27

Build the lower section of the conductor Preproc> create>rectangle>by dimensions

Select Apply to use the option again Build the upper section of the conductor

To combine these areas into a single area, use Preproc>operate>add>areas [Pick All]

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-28



Build the air gap

Select OK To connect the two areas, use the glue operation for all the areas Preproc>operate>glue>areas Select Pick All in the picker box

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-29



The attributes for the air region defaults to material 1 and element type 1 Assign attributes to the conductor – Preproc>-Attributes-define>picked areas – (select the conductor)

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-30



Generate the mesh Preproc>mesh>-areas-free mesh Select Pick All

Material numbering is turned on

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-31



The VOLT dof requires coupling to simulate the end condition – select out the nodes of the conductor

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-32

– Generate the couple set Preproc>coupling/ceqn>couple DOFs

Select OK
Master Node

Couple plot symbol

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-33



Apply flux parallel condition at the top of the air gap Preproc>loads>apply>boundary>flux par'l>on lines

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-34



The model is to be scaled by .001 to convert mm to meters Select the entire model Preproc>operate>scale>areas



Select OK
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-35

January 30, 1999



Apply the peak current (amp) to the conductor Preproc>loads>apply>-electric-excitation>on keypoints – Select any keypoint part of the conductor – Apply 1 Amp (peak) to the keypoint



To select the harmonic analysis type Solution>new analysis (select Harmonic)

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-36



To identify the frequency to be use in the simulation Solution>time/frequenc>freq & substeps

Ending frequency: Allows multiple frequencies to be simulated

Determines the number of intermediate frequencies to be simulated

If multiple frequencies are used: Ensure that the same excitation is used for all frequencies

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-37



To perform the simulation Utility>select>everything Solution>current LS



Select OK
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-38

January 30, 1999



Two solutions are present for post processing To examine the field in phase with the impressed current (real solution) Postproc>by load step>

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-39

For the real solution
Flux line plot Postproc>plot results> – 2D flux lines Current distribution Select the conductor Postproc>elec&mag calc>current

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-40



Contours for the current uses the element data JT (real solution) Postproc>plot results>elem table

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-41



To examine the field in 90 degrees out of phase with the impressed current (Imaginary Solution) Postproc>by load step>

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-42

Imaginary Solution
Flux line plot Postproc>plot results> 2D flux lines Current distribution Select the conductor Postproc>elec&mag calc>current

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-43



Postproc>plot results>elem table (Imaginary Solution)

Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-44



To compute the power loss in the conductor Postproc>elec&mag calc>power loss

Results are stored as a parameter which can be viewed by Utility>>parameter>scalar

Power is based on a per unit length of the conductor

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-45



To plot the power loss Postproc>plot results>elem table (PLOSSD)

Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-46

Application: AC Actuator with ring
Problem Description – Axisymmetric – Coil is voltage fed – Coil is a stranded conductor – Shaded pole is a continuous ring Analysis objective – Complete the model – Apply the conditions – Perform simulation – Post process Time average force Power loss in shaded pole Coil impedance Z = V / I = Re + jRi
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-47



January 30, 1999

Properties: Coil: copper DC resistance: 12 Ω 400 turns, 32 gauge ρ = 17.1 μΩ-mm Copper ring: μr = 1 ρ = 17.1 μΩ-mm Air: μr = 1 Units: m

Stator & Armature: ferrite μr = 1000 ρ > 1 Ω-m Excitation: 24 V RMS AC Model: Axisymmetric

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-48



Descriptions of the physics regions – Shaded pole The ring is continuous. The net current over the cross section is not zero. – Coil The coil is comprised of wire smaller than 32 gauge wire. The strands are sufficiently small to neglect skin effect in the wire. – Iron regions (armature & stator) Permeable Resistivity is too large for eddy currents.

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-49



Build the model using the macro

acsolen.mac
Air elements are not shown Coil attributes – Element type: Set 2 (Plane53) Requires coil voltage fed option – Real set Set 4 Requires information for coil to correspond to 12 Ω DC resistance 400 turns
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-50



Shading ring attributes continuous ring: shorted condition – Element type: Set 1 (Plane53) – Material Set 4 Requires RSVX Shading ring



Stator (non conductive) – Element type: set 1 (Plane 53) – Material Set 2



Armature (nonconductive) – Element type: set 1 (Plane 53) – Material Set 3
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-51



To determine the required DOF, consult the Help Engine Utility>Help>T of C>analysis guide>Electromagnetic>Harmonic

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-52



Element type options for the coil elements Preproc>element type>add/edit/dele>

Select Options

Select OK
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-53

Verify material properties Air Stator

Armature Coil

Shading ring

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-54





Build the real constant data for the axisymmetric coil to simulate 12Ω, 400 turns Real constant data requires: – Cross sectional area of the modeled coil region (Ac) Units: m2 – Number of turns (400) – Coil fill factor (CF) CF = Aw / Ac Aw = total cross section area of copper wire (does not include insulation) Units: m2

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-55



Getting the cross sectional area of the coil Select the coil area Calculate the area of the coil area (cross sectional area of coil) Preproc>operate>calc geom items>of areas>OK

Place the area number into a parameter ACOND Utility>parameters>get scalar

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-56

Insert parameter name

Select OK Verify parameter by Utility>parameters>scalar

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-57



The coil fill factor (Cf ) - must be consistent with the turns, RSVX and coil area to generate a DC resistance of 12 Ω (Rcoil ) The expression for Cf for an axisymmetric rectangular coil area is 2πρXcN2

Cf =
where

Ac Rcoil

ρ = .17241E-7 N = 400 Ac = ACOND Parameter Xc = radial centroid of the modeled cross sectional area The Xc can be placed into a parameter XCOND.
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-58



Utility>parameters>get scalar

Select OK Insert parameter name

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-59

The Coil fill factor CF can be computed by Utility>parameters

Select Accept

Many actuator designs accommodate multiple coils in the same window. A simulation involving one of the coils would require that only one of the coils be actually modeled. This would result in a coil factor that would appear to be extremely low
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

January 30, 1999

3.1-60



Suppose, the wire gauge and number of turns has been selected (and the coil resistance is not known) – Look up the cross section area (Aw) for the wire gauge – For 32 gauge wire, Aw = .0324 mm2 Cf = total copper cross sectional area / modeled area Cf = 400 (.0324) (1E-6) / 6.6E-5 = .196

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-61



To build the real constant set (4) for the coil region Preproc>real constants

Select Add

Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-62



Insert the values for the coil region

Select OK The values can be listed by Utility>list>properties>all real constants

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-63



The coil region requires that all nodal DOFs for the CURR be the same (since by the conservation of current the current flowing into the coil must equal the current flowing out of the coil) To couple the nodes in the coil region Select the nodes in the coil region Preproc>coupling>couple DOF Pick All



Select OK

Must be a new set reference number
ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-64

January 30, 1999



The APDL can be used to obtain the current maximum CP set number Utility>parameters>get scalar data

Select OK
Insert parameter name

CP_MX+1 would be inserted for the CP set number

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-65



To apply the Voltage excitation Preproc>loads>apply>-voltage drop- on areas Select the coil region (area) Select OK

Peak voltage

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-66



Apply flux parallel condition along the edge of the model Preproc>apply>boundary>-flux par'l- on lines Select all lines at the edge of the model



Apply force flag to armature component Preproc>apply>flag>comp. force

Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-67



Perform simulation-select analysis type Solu>new analysis Select Harmonic Set the excitation frequency (of 60 Hz) Solu> time/frequenc>freq & substps

Select OK Initiate solution Solu>solve current ls Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-68





The result set for an AC simulation actually contains two sets of data – the results (nodal and element) the results (nodal and element) for the field in phase with the excitation (Real solution) – the results (nodal and element) for the field 90° out of phase with the excitation (Imaginary solution) To read the Imaginary set Postproc>by load step...

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-69



Obtain flux line plot for the imaginary field (imaginary field is the default condition) Postproc>plot results>2D flux lines

BSUM in the vicinity of the gap and copper ring

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-70



Obtain the flux lines for the real solution Load the real solution results. Postproc>by load step

Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-71

Results for the field in phase with the voltage excitation

BSUM in the vicinity of the gap and copper ring

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-72



Retrieve the time averaged force for the armature Postproc>elec&mag calc>comp. force

Select OK
Frequency (Hz)

By Virtual Work

By Maxwell's Stress Tensor

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-73



Determine the power loss in the copper ring Select the copper ring elements (material set 5) Postproc>elec&mag calcs>power loss

The power loss density in the ring can be plotted Postproc>plot results>elem table

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-74

The DC resistance stored for the coil region should be reviewed by adding an element table item ERES which is stored as sequence number 8 (see HELP for PLANE53) Select the coil region (element component COIL) Add an element table item ERES Postproc>element table>define table [ADD]

Select OK
January 30, 1999 ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172) 3.1-75

To determine the sum of the ERES for all the elements in the coil region, generate a sum Postproc>element table>define table>sum of each item

The difference between input 12 Ω via the real constant set and the element data is considered to be small

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-76



The coil terminal impedance is computed by V / I where V and I can have both real and imaginary components, and I corresponds to the CURR DOF for the COIL nodes. Units: Amp (peak) Select the nodes of the COIL component To correctly identify the component of the CURR DOF, reload the imaginary component Postproc>-read results-by load step [IMAGINARY]



Select OK

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-77



List the CURR DOF of the Imaginary solution for the active nodes, which are the nodes of the COIL region Postproc>list results>nodal solution

Select OK
The identification of the solution

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-78



Load the Real solution. Postproc>-read results>by load step

Select OK List the CURR DOF results for the real solution Postproc>list results>nodal solution (use CURR as before)

The identification defaults to the Real solution

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-79



The impedance is computed by

– – – – – –

Z = Zreal+ j Zimag Vreal = 24*sqrt(2) Vimag = 0 (voltage excitation had only a real component) Zimag = Vreal* Iimag /Imag Zreal = Vreal* Ireal /Imag Imag = (Ireal2 + Iimag2)
2πf L, so L = 32.4 mH

– From the solution, Ireal = 1.22 Iimag = 2.04 , Imag = 5.66

– Zimag = 12.23 Ω = – Zreal = 7.31 Ω

January 30, 1999

ELECTROMAGNETIC ANALYSIS with ANSYS/Emag Release 5.5 (001172)

3.1-80

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