유도전동기_해석실습1

3상 유도전동기 해석 실습3상 유도전동기 해석 실습

한밭대학교

전기공학과전기공학과

INDEX

1111 Basic of AnalysisBasic of Analysis

2222 Induction Motor Analysis by RMxprtInduction Motor Analysis by RMxprt


3333 Maxwell 2D Design from RMxprt Maxwell 2D Design from RMxprt

4444 Useful Analysis Method for Induction MotorUseful Analysis Method for Induction Motor

5555 Locked Rotor SimulationLocked Rotor Simulation

6666 D i S ith T i t S lD i S ith T i t S l6666 Design Sweep with Transient Solver.Design Sweep with Transient Solver.

2

S 3Specification of 3ph Induction Motor

3

S 3Specification of 3ph Induction Motor

Rotor Dimension

Stator Dimension

4

2RMxprt V.12

1

1. Open Maxwell Ver.12

2 Insert RMxprt Design1

23

2. Insert RMxprt Design

5

Machine Type

1 1. Select Machine type as

Three Phase Induction Motor

2. File > Save as > IM_analysis1.mxwl

6

Machine Type

1

3. Change RMxprt Design Name form “RMxprtDesign1”

to “1_Original”

1

7

Parameter : Machine

* IEEE Standard for stray loss Assumption* IEEE Standard for stray loss Assumption

1) 1~125 Hp : 1.8% of rated output power

2) 126~500 Hp : 1.5%

8

3) 501~2499 Hp : 1.2%

Parameter : Stator

Next page

9

S 8Material setup for S18

1

10


1

2 3

4

Coreloss Calculation by ‘5’

5!

Coreloss Calculation by 5

or Input Factors Directly

5

11


Posco 강판 데이터 (S18) –Corel oss

Posco 강판 데이터 (S18) BH 곡선Posco 강판 데이터 (S18) –BH 곡선

12


1. H-B값 입력

2. 확장자를 tab로 입력…

13


1

25

14

3


1

2

35 35

15

P SlParameter : Slot

Stator Dimension

17

Parameter : Winding

18

Parameter : Winding

Coils Connection

19

Whole-coil winding half-coil winding

Parameter : Winding

Adjustment of Winding Resistance

20

Parameter : Rotor

21

SParameter : Slot & Winding

22

SParameter : Slot & Winding

23

SParameter : Vent & Shaft

24

SParameter : Vent & Shaft

자기회로에서의 shaft 포함여부

25

SAnalysis Setup

26

Run simulation and view results

Analyze all 1

27


28


29


30


31


32


33


34


35

C t V i bl V lt V i bl F D iCreate a Variable-Voltage Variable-Frequency Design

1. Copy the design “1_Original” and paste into the project, change the new design

name to “2_VVVF_Design”.

3

2

1

36

Create a Variable Voltage Variable Frequency DesignCreate a Variable-Voltage Variable-Frequency Design

2. Assign VoltSweep and FreqSweep to Rated Voltage and Frequency respectively.

1

42

37

3

Create a Variable Voltage Variable Frequency DesignCreate a Variable-Voltage Variable-Frequency Design3. Create a Parametric Sweep.

1

2

3

38

Create a Variable Voltage Variable Frequency DesignCreate a Variable-Voltage Variable-Frequency Design4. Run Parametric Sweep

39


5. view results : torque vs. speed.

1

3

2

3

2

40


4. Run Parametric Sweep and view results : torque vs. speed.

4

55

6

7

41

C t V i bl V lt V i bl F D iCreate a Variable-Voltage Variable-Frequency Design5. View results : efficiency vs. speed.

2

1

34

5

42

6

INDEX








43

C 2Create a Maxwell 2D Design from RMxprt1. Create Maxwell Design.

2. Change the new Maxwell 2D design name to

“3_Nominal”

44

C 2Create a Maxwell 2D Design from RMxprt

Motion Setup

Excitations

Boundaries Geometry

Mesh Operations

Solve Setup

Materials

Result Plots

45


Modification 1

Time step = 60/1800 *1/2* 5/360 = 0.000231481Around value

46


Modification 3

Select ALL Bars

To consider eddy effect on rotor bars.To consider eddy effect on rotor bars.

47


Modification 3

48


Modification 4

Select Stator & Rotor core

49

C 2Create a Maxwell 2D Design from RMxprtRun Simulation~

A l ll

1

1. View results : Output Torque vs. Time1. View results : Output Torque vs. Time

Analyze all

Phase Currents vs. TimePhase Currents vs. Time

50


2. Review other Quick Reports2. Review other Quick Reportspp

51


View results : Position vs. TimeView results : Position vs. Time

3

1

Double

click

1

2

52


View results : Position vs. TimeView results : Position vs. Time

4

5Position change of eachPosition change of each

simulation time stepsimulation time step

53


Calculation of EfficiencyCalculation of EfficiencyCalculation of EfficiencyCalculation of Efficiency

1. 1. 효율효율 계산에계산에 필요한필요한 결과결과 그래프를그래프를 생성한다생성한다. .

Results Results –– Torque, Current, Speed, LossTorque, Current, Speed, Loss--Core Loss, Solid Loss, Stranded LossCore Loss, Solid Loss, Stranded Loss

54



2. 2. 전류전류 파형을파형을 통한통한 정상상태의정상상태의 11주기주기 시간시간 계산계산

Ansoft LLC 3_nominalWinding Currents

6

100.00

150.00

200.00

250.00

Ansoft LLC 3_nominalWinding CurrentsCurve Info

Current(PhaseA)Setup1 : Transient

Current(PhaseB)Setup1 : Transient

Current(PhaseC)Setup1 : Transient

30.00

40.00

50.00Curve Info

Current(PhaseA)Setup1 : Transient

Current(PhaseB)Setup1 : Transient

Current(PhaseC)Setup1 : Transient1

2

3Mouse right button click!!

-100.00

-50.00

0.00

50.00

Y1

[A]

10.00

20.00

Y1

[A]

2

0.00 50.00 100.00 150.00 200.00Time [ms]

-200.00

-150.00

-20.00

-10.00

0.00 4 5

180.00 185.00 190.00 195.00Time [ms]

-30.00

55



3. 3. 그그 주기에서의주기에서의 평균값평균값 또는또는 RMSRMS값값 계산계산((전류전류 RMSRMS계산계산))

Mouse right button click!!

1

22

34

5 6

7

Current(RMS)

56



3. 3. 그그 주기에서의주기에서의 평균값평균값 또는또는 RMSRMS값값 계산계산((토크토크, , 속도속도, , 손실은손실은 평균값으로평균값으로 계산계산))

57



4. 4. 수식에수식에 따라따라 계산계산 수행수행

Maxwell calculates air gap power, not the output power

PPPPP

Average airgap power is calculated by taking the average torque in Nm multiplied by the speed in rad/sec

strayfrictioncoreairgapout PPPPP −−−=

copperairgapin PPP +=

out

PPEfficiency =

copperairgapin

inP

58



4. 4. 수식에수식에 따라따라 계산계산 수행수행

rpm TorquerpmPairgap ××=60

2π

i

Loss Solid Loss Stranded

LosscopperPrimary

+=

+= LossPowerPcopper

Here, we need to assume that frictional loss and stray load loss

59


Mesh ResultsMesh Results

1. Plot mesh : CTRL+A to select all objects > right mouse click > Plot Mesh

2. Menu bar : View > Grid Setting > turn off Grid Visible

3 Menu bar : View > Coordinate System > Hide3. Menu bar : View > Coordinate System > Hide

2

33

1

60

1Double click

C 2Create a Maxwell 2D Design from RMxprtFields ResultsFields Results

1. Plot mesh : CTRL+A to select all objects > right mouse click > Fields > A > Flux_Lines

2. Menu bar : View > Render > Wire Frame

11Double click

2

61

C 2Create a Maxwell 2D Design from RMxprtFields ResultsFields Results

1 Pl t h CTRL A t l t ll bj t i ht li k Fi ld B M B1. Plot mesh : CTRL+A to select all objects > right mouse click > Fields > B > Mag_B

1Double click

2

3

62

C 2Create a Maxwell 2D Design from RMxprtAnimation of FieldsAnimation of Fields

1

2

GIF, AVI Format

63

INDEX








64

Useful Analysis Method1. Copy the design “3_Nominal” and paste into the project, change the new design

name to “4_Nominal_Useful”.

Setup Force CalculationSetup Force Calculation

1. Select Object “Bar” > right mouse click > Assign Parameters > Force

( Force can not be calculated in Transient solver with Maxwell v.11)

32

651

Useful Analysis Method

Create Output Variables for Stator Tooth and Stator Yoke Flux DensitiesCreate Output Variables for Stator Tooth and Stator Yoke Flux Densities

1. Draw two lines called “Stator_Tooth” and “Stator_Yoke”

2 Click on menu item Maxwell 2D > Field > Calculator

66

2. Click on menu item Maxwell 2D > Field > Calculator

Useful Analysis MethodCreate Output Variables for Stator Tooth and Stator Yoke Flux DensitiesCreate Output Variables for Stator Tooth and Stator Yoke Flux Densities

3. Quantity > B,

Mag,

Geometry > Line > Stator Tooth,y S _ ,

Integration,

Number > 0.11 (stack length in meters)

* (multiplication) (multiplication)

Add > Name : Stator_Tooth_Flux

4. Quantity > B,

Mag,

Geometry > Line > Stator_Yoke,

Integration,

Number > 0.11 (stack length in meters)

* (multiplication)

Add > Name : Stator Yoke Flux

67

S _ _

Useful Analysis MethodMultiMulti--Frequency Core LossFrequency Core Loss

1 S l t b th R t d St t li k t i l S18 SF 95 b tt i th P t Wi d1. Select both Rotor and Stator, click on material S18_SF0.950 button in the Property Window.

2. Click on Clone Material(s), change material name and Electrical Steel as Core Loss Type.

22

1

68


MultiMulti--Frequency Core LossFrequency Core Loss

3 63

5

6

4

5 7

69

4

Useful Analysis MethodMultiMulti--Frequency Core LossFrequency Core Loss

50Hz 100Hz 200Hz 400Hz

70


MultiMulti--Frequency Core LossFrequency Core LossMultiMulti Frequency Core LossFrequency Core Loss

71


Run SimulationRun Simulation

Analyze all

Flux of Tooth and YokeFlux of Tooth and Yoke

1

72


0.0035

Ansoft LLC 4_nominal_usefulXY Plot 1Curve Info

Stator_Tooth_FluxSetup1 : Transient2 3

0.0025

0.0030

Setup1 : Transient

Stator_Yoke_FluxSetup1 : Transient2 3

4

0.0015

0.0020

Y1

0.0005

0.0010

50.00 100.00 150.00 200.00Time [ms]

0.0000

73


Create Force vs. Position PlotCreate Force vs. Position PlotCreate Force vs. Position PlotCreate Force vs. Position Plot

2

1

3

Time -> Moving1.position

74


Create Force vs. Position PlotCreate Force vs. Position Plot

75


Create Core Loss vs. Time PlotCreate Core Loss vs. Time Plot

2

1

2

3

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INDEX








77

SLocked Rotor Simulation1. Copy the design “4_Nominal_Useful” and paste into the project, change the new design

name to “5 LockedRotor”name to 5_LockedRotor .

MotionSetup1 > Change Initial Position and Angular VelocityMotionSetup1 > Change Initial Position and Angular Velocity

78

SLocked Rotor Simulation

Run Simulation & View the ResultsRun Simulation & View the ResultsRun Simulation & View the ResultsRun Simulation & View the Results

Locked rotor torqueLocked rotor torque corelosscorelossqq corelosscoreloss

79

SLocked Rotor Simulation

Run Simulation & View the ResultsRun Simulation & View the Results

currentscurrents

80

INDEX








81

SDesign Sweep1. Copy the design “4_Nominal_Useful” and paste into the project, change the new design

name to “6 DesignSweep”name to 6_DesignSweep .

2

3

1

82

SDesign Sweep

Model Depth

11

2110mm*LengthFactor

2

83

SDesign Sweep

Resistance of Phase A

R i t f Ph B & Ph CResistance of Phase B & Phase C

: the same

84

SDesign Sweep

Stator Inner Diameter for Sweep variable

3

1

22

85

SDesign Sweep

Voltage Magnitude for Sweep variable

1

3

2Voltage magnitude of Phase B & Phase C : the same

86

Voltage magnitude of Phase B & Phase C : the same

SDesign SweepParametric analysis set up

1

233

4

Volt_mag :

300,315,15

87

Stator_ID : 140,141,1

SDesign Sweep

Parametric Analysis

11

88

SDesign Sweep

View the Results

89

SDesign Sweep

90

SSkew Analysis

91

End Winding Analysis

92

Tip. Parametric Analysis using RMxpt

31

3

2

93


51

3

24

67

94

8 9


12

95

전압원 해석 운동방정식Tip. 전압원 해석 with 운동방정식

223

Input RMxpt FEA result

1Input Load Torque (negative value)

LossFrictionB =2ω= 마찰손 (손실분리를 통해 측정한 마찰손을 이용하여 계산

여기서 속도단위 [rps]

LossFrictionB =ω

96

유도전동기_해석실습1

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