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Средняя длинна витка обмотки:

lsr1 =

723.2399

мм

_______________________________________________________________________________________________________________________________________________________________________

Длина проводников фазы обмотки:

L1 =

115.7184

мм

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление обмотки статора:

r1 =

0.6236

Ом

_______________________________________________________________________________________________________________________________________________________________________

Kvil =

0.4000

_______________________________________________________________________________________________________________________________________________________________________

Длина вылета лобовой части катушки:

lvil =

72.0369

мм

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rr1 =

0.0394

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

6.2

где для литой алюминиевой обмотки ротора p2115=(1e-006)/(20.5):

Сопротивление участка замыкающего кольца,заключонного между двумя соседними стержнями:

rkl =

8.6632e-007

Ом

_______________________________________________________________________________________________________________________________________________________________________

Сопротивление стержня:

rc =

3.1370e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление фазы алюминиевой обмотки ротора:

r2 =

5.0157e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим r2 к числу витков обмотки статора:

rr2 =

0.3472

Ом

здесь ksk=1

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rrr2 =

0.0219

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

6.3

kkbeta =

0.8750

_______________________________________________________________________________________________________________________________________________________________________

kbeta =

0.9063

_______________________________________________________________________________________________________________________________________________________________________

hk =

2.4818

мм

_______________________________________________________________________________________________________________________________________________________________________

h222 =

19.6417

мм

_______________________________________________________________________________________________________________________________________________________________________

betack =

0

kkck =

1.2776

_______________________________________________________________________________________________________________________________________________________________________

eps =

0.9740

_______________________________________________________________________________________________________________________________________________________________________

lamd1 =

1.0416

_______________________________________________________________________________________________________________________________________________________________________

laml1 =

1.2868

_______________________________________________________________________________________________________________________________________________________________________

lamp1 =

1.3269

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки статора:

x1 =

1.2937

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xx1 =

0.0818

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

6.4

h0 =

29.1935

_______________________________________________________________________________________________________________________________________________________________________

eps1 =

1.0055

_______________________________________________________________________________________________________________________________________________________________________

lamd2 =

1.3460

_______________________________________________________________________________________________________________________________________________________________________

laml2 =

0.6639

_______________________________________________________________________________________________________________________________________________________________________

lamp2 =

2.5179

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки ротора:

x2 =

2.5039e-004

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим x2 к числу витков статора:

xx2 =

1.7333

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xxx2 =

0.1096

_______________________________________________________________________________________________________________________________________________________________________

***********************************************************************************************************************************************************************

***********************************************************************************************************************************************************************

7 Расчет потерь

=======================================================================================================================================================================

7.1

Удельные потери в стали:

p1050 =

2.5000

Вт/кг

_______________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________

Масса стали зубцов статора:

mz1 =

7.0187

кг

_______________________________________________________________________________________________________________________________________________________________________

Масса стали ярма статора:

ma =

24.7935

кг

_______________________________________________________________________________________________________________________________________________________________________

Потери в стали основные:

Pstosn =

372.8255

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.2

beta02 =

0.2391

_______________________________________________________________________________________________________________________________________________________________________

B02 =

0.2090

Тл

_______________________________________________________________________________________________________________________________________________________________________

удельные поверхностные потери в роторе:

ppov2 =

122.8474

Вт/м^2

_______________________________________________________________________________________________________________________________________________________________________

Поверхностные потери в роторе:

Ppov2 =

10.4159

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.3

Масса стали зубцов ротора:

mz2 =

10.7562

кг

_______________________________________________________________________________________________________________________________________________________________________

Амплитуда пульсаций индукции в среднем сечении зубцов:

Bpul2 =

0.0831

Тл

_______________________________________________________________________________________________________________________________________________________________________

Пульсационные потери в зубцах ротора:

Ppul2 =

42.3841

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.4 Сумма добавочных потерь в стали:

Pstdob =

52.8001

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.5 Полные потери в стали:

Pst =

425.6255

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.6

для двигателей с 2p=4 коэффициент:

Kt =

0.8931

_______________________________________________________________________________________________________________________________________________________________________

Механические потери:

Pmex =

192.8679

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7.7

Электрические потери в статоре:

Pe1xx =

140.3013

Вт

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока холостого хода:

Ixxa =

0.6656

А

_______________________________________________________________________________________________________________________________________________________________________

Холостой ход двигателя:

Ixx =

8.6854

А

_______________________________________________________________________________________________________________________________________________________________________

Коэффициент мощьности при холостом ходу:

cosfixx =

0.0766

_______________________________________________________________________________________________________________________________________________________________________

***********************************************************************************************************************************************************************

***********************************************************************************************************************************************************************

8 Расчет рабочих характеристик

=======================================================================================================================================================================

8.1 Параметры:

r12 =

1.6572

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12 =

42.5869

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0304

_______________________________________________________________________________________________________________________________________________________________________

используем приближенную формулу:

gama =

0.0130

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока синхронного холостого хода:

I0a =

0.4501

А

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0617

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.6426

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

3.1732

Ом

_______________________________________________________________________________________________________________________________________________________________________

Потери, не изменяющиеся при изменении скольжения:

Pnez =

0.6185

кВт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

8.2 Рассчитываем рабочие характеристики для скольжений:

s1 =

0.0050

s2 =

0.0100

s3 =

0.0150

s4 =

0.0200

s5 =

0.0250

s6 =

0.0300

snom =

0.0219

=======================================================================================================================================================================

Номинальные данные спроектированного двигателя:

P2 =

22000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

24.0209

А

_______________________________________________________________________________________________________________________________________________________________________

cosfi =

0.9007

_______________________________________________________________________________________________________________________________________________________________________

n =

0.8920

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

Рабочие характеристики асинхронного двигателя:

P2 =

22000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

2

_______________________________________________________________________________________________________________________________________________________________________

I0a =

0.4501

А

_______________________________________________________________________________________________________________________________________________________________________

I0p =

8.6599

А

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.6236

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.3472

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0304

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0617

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.6426

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

3.1732

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

1

ans =

73.7247

ans =

36.8624

ans =

24.5749

ans =

18.4312

ans =

14.7449

ans =

12.2875

ans =

16.7953

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

2

Rs1 =

74.3673

Rs2 =

37.5049

Rs3 =

25.2175

Rs4 =

19.0737

Rs5 =

15.3875

Rs6 =

12.9300

Rsnom =

17.4379

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

3

Xs1 =

3.1732

Xs2 =

3.1732

Xs3 =

3.1732

Xs4 =

3.1732

Xs5 =

3.1732

Xs6 =

3.1732

Xsnom =

3.1732

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

4

Zs1 =

74.4350

Zs2 =

37.6389

Zs3 =

25.4163

Zs4 =

19.3359

Zs5 =

15.7113

Zs6 =

13.3137

Zsnom =

17.7242

Ом

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

5

III2s1 =

5.1051

III2s2 =

10.0959

III2s3 =

14.9510

III2s4 =

19.6526

III2s5 =

24.1864

III2s6 =

28.5420

III2snom =

21.4396

А

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

6

cosfifi2s1 =

0.9991

cosfifi2s2 =

0.9964

cosfifi2s3 =

0.9922

cosfifi2s4 =

0.9864

cosfifi2s5 =

0.9794

cosfifi2s6 =

0.9712

cosfifi2snom =

0.9838

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

7

sinfifi2s1 =

0.0426

sinfifi2s2 =

0.0843

sinfifi2s3 =

0.1248

sinfifi2s4 =

0.1641

sinfifi2s5 =

0.2020

sinfifi2s6 =

0.2383

sinfifi2snom =

0.1790

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

8

I1as1 =

5.5506

I1as2 =

10.5101

I1as3 =

15.2841

I1as4 =

19.8362

I1as5 =

24.1381

I1as6 =

28.1696

I1asnom =

21.5433

А

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

9

I1ps1 =

8.8775

I1ps2 =

9.5110

I1ps3 =

10.5265

I1ps4 =

11.8850

I1ps5 =

13.5448

I1ps6 =

15.4626

I1psnom =

12.4982

А

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

10

I1s1 =

10.4699

I1s2 =

14.1747

I1s3 =

18.5583

I1s4 =

23.1242

I1s5 =

27.6787

I1s6 =

32.1344

I1snom =

24.9062

А

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

11

II2s1 =

5.2602

II2s2 =

10.4026

II2s3 =

15.4052

II2s4 =

20.2496

II2s5 =

24.9212

II2s6 =

29.4091

II2snom =

22.0909

А

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

12

P1s1 =

6.3277

P1s2 =

11.9815

P1s3 =

17.4239

P1s4 =

22.6133

P1s5 =

27.5174

P1s6 =

32.1133

P1snom =

24.5594

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

13

Pe1s1 =

0.2051

Pe1s2 =

0.3759

Pe1s3 =

0.6443

Pe1s4 =

1.0004

Pe1s5 =

1.4333

Pe1s6 =

1.9319

Pe1snom =

1.1605

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

14

Pe2s1 =

0.0288

Pe2s2 =

0.1127

Pe2s3 =

0.2472

Pe2s4 =

0.4271

Pe2s5 =

0.6469

Pe2s6 =

0.9009

Pe2snom =

0.5083

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

15

Pdobs1 =

0.0316

Pdobs2 =

0.0599

Pdobs3 =

0.0871

Pdobs4 =

0.1131

Pdobs5 =

0.1376

Pdobs6 =

0.1606

Pdobsnom =

0.1228

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

16

sumPs1 =

0.8840

sumPs2 =

1.1670

sumPs3 =

1.5972

sumPs4 =

2.1591

sumPs5 =

2.8363

sumPs6 =

3.6118

sumPsnom =

2.4101

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

17

P2s1 =

5.4436

P2s2 =

10.8145

P2s3 =

15.8268

P2s4 =

20.4542

P2s5 =

24.6812

P2s6 =

28.5015

P2snom =

22.1492

Вт

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

18

nus1 =

0.8603

nus2 =

0.9026

nus3 =

0.9083

nus4 =

0.9045

nus5 =

0.8969

nus6 =

0.8875

nusnom =

0.9019

_______________________________________________________________________________________________________________________________________________________________________

=======================================================================================================================================================================

19

cosfis1 =

0.5301

cosfis2 =

0.7415

cosfis3 =

0.8236

cosfis4 =

0.8578

cosfis5 =

0.8721

cosfis6 =

0.8766

cosfisnom =

0.8650

_______________________________________________________________________________________________________________________________________________________________________

***********************************************************************************************************************************************************************

***********************************************************************************************************************************************************************

9 Расчет пусковых характеристик

=======================================================================================================================================================================

Расчет токов с учетом изменения параметров под влиянием эффекта вытеснения тока (без учета влияния насыщения от полей рассеяния).

Расчет проводится в целях определения токов в пусковых режимах для дальнейшего учета влияния насыщения на пусковые характеристики двигателя.

P2 =

22000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

2

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

24.0209

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

22.0909

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

1.2937

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.7333

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.6236

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.3472

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0219

_______________________________________________________________________________________________________________________________________________________________________

Скольжения:

ss1 =

1

ss2 =

0.8000

ss3 =

0.5000

ss4 =

0.2000

ss5 =

0.1000

_______________________________________________________________________________________________________________________________________________________________________

Пусковые параметры:

x12p =

54.8882

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1p =

1.0236

_______________________________________________________________________________________________________________________________________________________________________

Критическое скольжение:

sskr =

0.1158

_______________________________________________________________________________________________________________________________________________________________________

hc =

34.0313

мм

_______________________________________________________________________________________________________________________________________________________________________

Расчет токов в пусковом режиме асинхронного двигателя с короткозамкнутым ротором с учетом влияния эффекта вытеснения тока:

1

epsss1 =

2.1647

epsss1 =

2.1647

epsss2 =

1.9362

epsss2 =

1.9362

epsss3 =

1.5307

epsss3 =

1.5307

epsss4 =

0.9681

epsss4 =

0.9681

epsss5 =

0.6845

epsss5 =

0.6845

epssskr =

0.7368

epssskr =

0.7368

_______________________________________________________________________________________________________________________________________________________________________

2

fiss1 =

1.0853

fiss2 =

0.8202

fiss3 =

0.3480

fiss4 =

0.0968

fiss5 =

0.0685

fisskr =

0.0737

_______________________________________________________________________________________________________________________________________________________________________

3

hrss1 =

16.3194

hrss2 =

18.6960

hrss3 =

25.2454

hrss4 =

31.0275

hrss5 =

31.8509

hrsskr =

31.6960

мм

_______________________________________________________________________________________________________________________________________________________________________

4

brss1 =

6.8512

brss2 =

6.4583

brss3 =

5.3754

brss4 =

4.4193

brss5 =

4.2832

brsskr =

4.3088

мм

_______________________________________________________________________________________________________________________________________________________________________

qrss1 =

123.8705

qrss2 =

139.6861

qrss3 =

178.4373

qrss4 =

206.7545

qrss5 =

210.3374

qrsskr =

209.6717

мм^2

_______________________________________________________________________________________________________________________________________________________________________

krss1 =

1.7575

krss2 =

1.5585

krss3 =

1.2200

krss4 =

1.0529

krss5 =

1.0350

krsskr =

1.0383

_______________________________________________________________________________________________________________________________________________________________________

5

KRss1 =

1.4738

KRss2 =

1.3493

KRss3 =

1.1376

KRss4 =

1.0331

KRss5 =

1.0219

KRsskr =

1.0239

_______________________________________________________________________________________________________________________________________________________________________

6

rr2epsss1 =

0.5117

rr2epsss2 =

0.4685

rr2epsss3 =

0.3950

rr2epsss4 =

0.3587

rr2epsss5 =

0.3548

rr2epssskr =

0.3555

Ом

_______________________________________________________________________________________________________________________________________________________________________

7

fifiss1 =

0.7006

fifiss2 =

0.7660

fifiss3 =

0.8673

fifiss4 =

0.9611

fifiss5 =

0.9611

fifisskr =

0.9688

_______________________________________________________________________________________________________________________________________________________________________

kdss1 =

0.7006

kdss2 =

0.7660

kdss3 =

0.8673

kdss4 =

0.9611

kdss5 =

0.9611

kdsskr =

0.9688

_______________________________________________________________________________________________________________________________________________________________________

8

dellamp2epsss1 =

0.4163

dellamp2epsss2 =

0.3254

dellamp2epsss3 =

0.1845

dellamp2epsss4 =

0.0541

dellamp2epsss5 =

0.0541

dellamp2epssskr =

0.0434

_______________________________________________________________________________________________________________________________________________________________________

lamp2epsss1 =

2.1017

lamp2epsss2 =

2.1925

lamp2epsss3 =

2.3335

lamp2epsss4 =

2.4638

lamp2epsss5 =

2.4638

lamp2epssskr =

2.4745

_______________________________________________________________________________________________________________________________________________________________________

9

Kxss1 =

0.9081

Kxss2 =

0.9281

Kxss3 =

0.9593

Kxss4 =

0.9880

Kxss5 =

0.9880

Kxsskr =

0.9904

_______________________________________________________________________________________________________________________________________________________________________

10

xx2epsss1 =

1.5739

xx2epsss2 =

1.6087

xx2epsss3 =

1.6627

xx2epsss4 =

1.7126

xx2epsss5 =

1.7126

xx2epssskr =

1.7167

Ом

_______________________________________________________________________________________________________________________________________________________________________

11

Rpss1 =

1.1474

Rpss2 =

1.2230

Rpss3 =

1.4322

Rpss4 =

2.4594

Rpss5 =

4.2553

Rpsskr =

3.7649

Ом

_______________________________________________________________________________________________________________________________________________________________________

12

Xpss1 =

2.9047

Xpss2 =

2.9404

Xpss3 =

2.9956

Xpss4 =

3.0466

Xpss5 =

3.0466

Xpsskr =

3.0508

Ом

_______________________________________________________________________________________________________________________________________________________________________

13

II2pss1 =

121.6723

II2pss2 =

119.3253

II2pss3 =

114.4456

II2pss4 =

97.0515

II2pss5 =

72.6087

II2psskr =

78.4174

А

_______________________________________________________________________________________________________________________________________________________________________

14

I1pss1 =

125.1860

I1pss2 =

122.8501

I1pss3 =

117.9485

I1pss4 =

100.1697

I1pss5 =

75.0758

I1psskr =

81.0405

А

_______________________________________________________________________________________________________________________________________________________________________

***********************************************************************************************************************************************************************

***********************************************************************************************************************************************************************

10 Расчет пусковых характеристик с учетом влияния вытеснения тока и насыщения от полей рассеяния

Расчет пусковых характеристик асинхронного двигателя с короткозамкнутым ротором с учетом эффекта вытеснения тока и насыщения от полей рассеяния

P2 =

22000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

2

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

24.0209

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

22.0909

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

1.2937

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.7333

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12p =

54.8882

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.6236

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.3472

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0219

_______________________________________________________________________________________________________________________________________________________________________

CN =

1.0774

_______________________________________________________________________________________________________________________________________________________________________