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Средняя длинна витка обмотки:

lsr1 =

777.5522

мм

_______________________________________________________________________________________________________________________________________________________________________

Длина проводников фазы обмотки:

L1 =

102.6369

мм

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление обмотки статора:

r1 =

0.3373

Ом

_______________________________________________________________________________________________________________________________________________________________________

Kvil =

0.5000

_______________________________________________________________________________________________________________________________________________________________________

Длина вылета лобовой части катушки:

lvil =

77.4200

мм

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rr1 =

0.0362

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

6.2

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

Сопротивление участка замыкающего кольца,заключонного между двумя соседними стержнями:

rkl =

8.4237e-007

Ом

_______________________________________________________________________________________________________________________________________________________________________

Сопротивление стержня:

rc =

4.4001e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление фазы алюминиевой обмотки ротора:

r2 =

7.0807e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим r2 к числу витков обмотки статора:

rr2 =

0.2186

Ом

здесь ksk=1

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rrr2 =

0.0235

_______________________________________________________________________________________________________________________________________________________________________

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

6.3

kkbeta =

0.8750

_______________________________________________________________________________________________________________________________________________________________________

kbeta =

0.9063

_______________________________________________________________________________________________________________________________________________________________________

hk =

1.6133

мм

_______________________________________________________________________________________________________________________________________________________________________

h222 =

28.5174

мм

_______________________________________________________________________________________________________________________________________________________________________

betack =

0

kkck =

1.2503

_______________________________________________________________________________________________________________________________________________________________________

eps =

0.9632

_______________________________________________________________________________________________________________________________________________________________________

lamd1 =

0.9528

_______________________________________________________________________________________________________________________________________________________________________

laml1 =

0.9932

_______________________________________________________________________________________________________________________________________________________________________

lamp1 =

1.7758

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки статора:

x1 =

0.7685

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xx1 =

0.0825

_______________________________________________________________________________________________________________________________________________________________________

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

6.4

h0 =

29.8337

_______________________________________________________________________________________________________________________________________________________________________

eps1 =

1.0053

_______________________________________________________________________________________________________________________________________________________________________

lamd2 =

1.2267

_______________________________________________________________________________________________________________________________________________________________________

laml2 =

0.5599

_______________________________________________________________________________________________________________________________________________________________________

lamp2 =

2.7973

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки ротора:

x2 =

3.2591e-004

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим x2 к числу витков статора:

xx2 =

1.0060

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xxx2 =

0.1080

_______________________________________________________________________________________________________________________________________________________________________

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

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

7 Расчет потерь

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

7.1

Удельные потери в стали:

p1050 =

2.5000

Вт/кг

_______________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________

Масса стали зубцов статора:

mz1 =

16.9613

кг

_______________________________________________________________________________________________________________________________________________________________________

Масса стали ярма статора:

ma =

38.1949

кг

_______________________________________________________________________________________________________________________________________________________________________

Потери в стали основные:

Pstosn =

682.8490

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.2

beta02 =

0.2603

_______________________________________________________________________________________________________________________________________________________________________

B02 =

0.2558

Тл

_______________________________________________________________________________________________________________________________________________________________________

удельные поверхностные потери в роторе:

ppov2 =

254.3421

Вт/м^2

_______________________________________________________________________________________________________________________________________________________________________

Поверхностные потери в роторе:

Ppov2 =

35.5910

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.3

Масса стали зубцов ротора:

mz2 =

18.6807

кг

_______________________________________________________________________________________________________________________________________________________________________

Амплитуда пульсаций индукции в среднем сечении зубцов:

Bpul2 =

0.1081

Тл

_______________________________________________________________________________________________________________________________________________________________________

Пульсационные потери в зубцах ротора:

Ppul2 =

279.9108

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.4 Сумма добавочных потерь в стали:

Pstdob =

315.5018

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.5 Полные потери в стали:

Pst =

998.3508

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.6

для двигателей с 2p=4 коэффициент:

Kt =

0.7930

_______________________________________________________________________________________________________________________________________________________________________

Механические потери:

Pmex =

412.7757

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.7

Электрические потери в статоре:

Pe1xx =

272.6093

Вт

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока холостого хода:

Ixxa =

1.4770

А

_______________________________________________________________________________________________________________________________________________________________________

Холостой ход двигателя:

Ixx =

16.4789

А

_______________________________________________________________________________________________________________________________________________________________________

Коэффициент мощьности при холостом ходу:

cosfixx =

0.0896

_______________________________________________________________________________________________________________________________________________________________________

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

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

8 Расчет рабочих характеристик

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

8.1 Параметры:

r12 =

0.8450

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12 =

22.3845

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0343

_______________________________________________________________________________________________________________________________________________________________________

используем приближенную формулу:

gama =

0.0133

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока синхронного холостого хода:

I0a =

0.8381

А

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0698

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.3489

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

1.8711

Ом

_______________________________________________________________________________________________________________________________________________________________________

Потери, не изменяющиеся при изменении скольжения:

Pnez =

1.4111

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 =

0.0235

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

Номинальные данные спроектированного двигателя:

P2 =

37000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

40.7971

А

_______________________________________________________________________________________________________________________________________________________________________

cosfi =

0.8813

_______________________________________________________________________________________________________________________________________________________________________

n =

0.9027

_______________________________________________________________________________________________________________________________________________________________________

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

Рабочие характеристики асинхронного двигателя:

P2 =

37000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I0a =

0.8381

А

_______________________________________________________________________________________________________________________________________________________________________

I0p =

16.4126

А

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.3373

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.2186

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0343

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0698

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.3489

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

1.8711

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

1

ans =

46.7672

ans =

23.3836

ans =

15.5891

ans =

11.6918

ans =

9.3534

ans =

7.7945

ans =

9.9649

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

2

Rs1 =

47.1161

Rs2 =

23.7325

Rs3 =

15.9380

Rs4 =

12.0407

Rs5 =

9.7024

Rs6 =

8.1434

Rsnom =

10.3138

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

3

Xs1 =

1.8711

Xs2 =

1.8711

Xs3 =

1.8711

Xs4 =

1.8711

Xs5 =

1.8711

Xs6 =

1.8711

Xsnom =

1.8711

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

4

Zs1 =

47.1532

Zs2 =

23.8062

Zs3 =

16.0474

Zs4 =

12.1852

Zs5 =

9.8811

Zs6 =

8.3557

Zsnom =

10.4822

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

5

III2s1 =

8.0588

III2s2 =

15.9623

III2s3 =

23.6798

III2s4 =

31.1853

III2s5 =

38.4571

III2s6 =

45.4782

III2snom =

36.2520

А

_______________________________________________________________________________________________________________________________________________________________________

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

6

cosfifi2s1 =

0.9992

cosfifi2s2 =

0.9969

cosfifi2s3 =

0.9932

cosfifi2s4 =

0.9881

cosfifi2s5 =

0.9819

cosfifi2s6 =

0.9746

cosfifi2snom =

0.9839

_______________________________________________________________________________________________________________________________________________________________________

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

7

sinfifi2s1 =

0.0397

sinfifi2s2 =

0.0786

sinfifi2s3 =

0.1166

sinfifi2s4 =

0.1536

sinfifi2s5 =

0.1894

sinfifi2s6 =

0.2239

sinfifi2snom =

0.1785

_______________________________________________________________________________________________________________________________________________________________________

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

8

I1as1 =

8.8906

I1as2 =

16.7510

I1as3 =

24.3564

I1as4 =

31.6535

I1as5 =

38.5994

I1as6 =

45.1613

I1asnom =

36.5079

А

_______________________________________________________________________________________________________________________________________________________________________

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

9

I1ps1 =

16.7324

I1ps2 =

17.6672

I1ps3 =

19.1737

I1ps4 =

21.2014

I1ps5 =

23.6951

I1ps6 =

26.5969

I1psnom =

22.8839

А

_______________________________________________________________________________________________________________________________________________________________________

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

10

I1s1 =

18.9477

I1s2 =

24.3460

I1s3 =

30.9978

I1s4 =

38.0978

I1s5 =

45.2921

I1s6 =

52.4113

I1snom =

43.0871

А

_______________________________________________________________________________________________________________________________________________________________________

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

11

II2s1 =

8.3355

II2s2 =

16.5102

II2s3 =

24.4927

II2s4 =

32.2559

II2s5 =

39.7773

II2s6 =

47.0395

II2snom =

37.4966

А

_______________________________________________________________________________________________________________________________________________________________________

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

12

P1s1 =

10.1353

P1s2 =

19.0961

P1s3 =

27.7663

P1s4 =

36.0850

P1s5 =

44.0033

P1s6 =

51.4839

P1snom =

41.6190

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

13

Pe1s1 =

0.3633

Pe1s2 =

0.5998

Pe1s3 =

0.9724

Pe1s4 =

1.4689

Pe1s5 =

2.0760

Pe1s6 =

2.7799

Pe1snom =

1.8788

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

14

Pe2s1 =

0.0456

Pe2s2 =

0.1787

Pe2s3 =

0.3934

Pe2s4 =

0.6822

Pe2s5 =

1.0375

Pe2s6 =

1.4509

Pe2snom =

0.9219

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

15

Pdobs1 =

0.0507

Pdobs2 =

0.0955

Pdobs3 =

0.1388

Pdobs4 =

0.1804

Pdobs5 =

0.2200

Pdobs6 =

0.2574

Pdobsnom =

0.2081

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

16

sumPs1 =

1.8707

sumPs2 =

2.2852

sumPs3 =

2.9157

sumPs4 =

3.7427

sumPs5 =

4.7446

sumPs6 =

5.8994

sumPsnom =

4.4199

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

17

P2s1 =

8.2646

P2s2 =

16.8109

P2s3 =

24.8506

P2s4 =

32.3424

P2s5 =

39.2587

P2s6 =

45.5845

P2snom =

37.1990

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

18

nus1 =

0.8154

nus2 =

0.8803

nus3 =

0.8950

nus4 =

0.8963

nus5 =

0.8922

nus6 =

0.8854

nusnom =

0.8938

_______________________________________________________________________________________________________________________________________________________________________

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

19

cosfis1 =

0.4692

cosfis2 =

0.6880

cosfis3 =

0.7857

cosfis4 =

0.8308

cosfis5 =

0.8522

cosfis6 =

0.8617

cosfisnom =

0.8473

_______________________________________________________________________________________________________________________________________________________________________

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

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

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 =

37000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

40.7971

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

37.4966

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

0.7685

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.0060

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.3373

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.2186

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0235

_______________________________________________________________________________________________________________________________________________________________________

Скольжения:

ss1 =

1

ss2 =

0.8000

ss3 =

0.5000

ss4 =

0.2000

ss5 =

0.1000

_______________________________________________________________________________________________________________________________________________________________________

Пусковые параметры:

x12p =

29.3496

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1p =

1.0262

_______________________________________________________________________________________________________________________________________________________________________

Критическое скольжение:

sskr =

0.1245

_______________________________________________________________________________________________________________________________________________________________________

hc =

34.0618

мм

_______________________________________________________________________________________________________________________________________________________________________

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

1

epsss1 =

2.1667

epsss1 =

2.1667

epsss2 =

1.9379

epsss2 =

1.9379

epsss3 =

1.5321

epsss3 =

1.5321

epsss4 =

0.9690

epsss4 =

0.9690

epsss5 =

0.6852

epsss5 =

0.6852

epssskr =

0.7647

epssskr =

0.7647

_______________________________________________________________________________________________________________________________________________________________________

2

fiss1 =

1.0875

fiss2 =

0.8224

fiss3 =

0.3491

fiss4 =

0.0969

fiss5 =

0.0685

fisskr =

0.0765

_______________________________________________________________________________________________________________________________________________________________________

3

hrss1 =

16.3170

hrss2 =

18.6905

hrss3 =

25.2487

hrss4 =

31.0529

hrss5 =

31.8777

hrsskr =

31.6423

мм

_______________________________________________________________________________________________________________________________________________________________________

4

brss1 =

6.1945

brss2 =

5.9373

brss3 =

5.2269

brss4 =

4.5981

brss5 =

4.5088

brsskr =

4.5343

мм

_______________________________________________________________________________________________________________________________________________________________________

qrss1 =

108.6025

qrss2 =

123.0000

qrss3 =

159.6087

qrss4 =

188.1218

qrss5 =

191.8774

qrsskr =

190.8130

мм^2

_______________________________________________________________________________________________________________________________________________________________________

krss1 =

1.8375

krss2 =

1.6224

krss3 =

1.2503

krss4 =

1.0608

krss5 =

1.0400

krsskr =

1.0458

_______________________________________________________________________________________________________________________________________________________________________

5

KRss1 =

1.5204

KRss2 =

1.3868

KRss3 =

1.1555

KRss4 =

1.0378

KRss5 =

1.0249

KRsskr =

1.0285

_______________________________________________________________________________________________________________________________________________________________________

6

rr2epsss1 =

0.3323

rr2epsss2 =

0.3031

rr2epsss3 =

0.2526

rr2epsss4 =

0.2268

rr2epsss5 =

0.2240

rr2epssskr =

0.2248

Ом

_______________________________________________________________________________________________________________________________________________________________________

7

fifiss1 =

0.7000

fifiss2 =

0.7655

fifiss3 =

0.8670

fifiss4 =

0.9610

fifiss5 =

0.9610

fifisskr =

0.9678

_______________________________________________________________________________________________________________________________________________________________________

kdss1 =

0.7000

kdss2 =

0.7655

kdss3 =

0.8670

kdss4 =

0.9610

kdss5 =

0.9610

kdsskr =

0.9678

_______________________________________________________________________________________________________________________________________________________________________

8

dellamp2epsss1 =

0.4795

dellamp2epsss2 =

0.3748

dellamp2epsss3 =

0.2126

dellamp2epsss4 =

0.0623

dellamp2epsss5 =

0.0623

dellamp2epssskr =

0.0514

_______________________________________________________________________________________________________________________________________________________________________

lamp2epsss1 =

2.3178

lamp2epsss2 =

2.4225

lamp2epsss3 =

2.5847

lamp2epsss4 =

2.7350

lamp2epsss5 =

2.7350

lamp2epssskr =

2.7459

_______________________________________________________________________________________________________________________________________________________________________

9

Kxss1 =

0.8954

Kxss2 =

0.9182

Kxss3 =

0.9536

Kxss4 =

0.9864

Kxss5 =

0.9864

Kxsskr =

0.9888

_______________________________________________________________________________________________________________________________________________________________________

10

xx2epsss1 =

0.9008

xx2epsss2 =

0.9238

xx2epsss3 =

0.9594

xx2epsss4 =

0.9924

xx2epsss5 =

0.9924

xx2epssskr =

0.9948

Ом

_______________________________________________________________________________________________________________________________________________________________________

11

Rpss1 =

0.6784

Rpss2 =

0.7261

Rpss3 =

0.8557

Rpss4 =

1.5012

Rpss5 =

2.6360

Rpsskr =

2.1894

Ом

_______________________________________________________________________________________________________________________________________________________________________

12

Xpss1 =

1.6929

Xpss2 =

1.7164

Xpss3 =

1.7530

Xpss4 =

1.7868

Xpss5 =

1.7868

Xpsskr =

1.7893

Ом

_______________________________________________________________________________________________________________________________________________________________________

13

II2pss1 =

208.3664

II2pss2 =

203.8936

II2pss3 =

194.8055

II2pss4 =

162.8309

II2pss5 =

119.3257

II2psskr =

134.3908

А

_______________________________________________________________________________________________________________________________________________________________________

14

I1pss1 =

214.8129

I1pss2 =

210.3687

I1pss3 =

201.2494

I1pss4 =

168.5321

I1pss5 =

123.8016

I1psskr =

139.2888

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 =

37000

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

40.7971

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

37.4966

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

0.7685

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.0060

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12p =

29.3496

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.3373

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.2186

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0235

_______________________________________________________________________________________________________________________________________________________________________

CN =

1.0902

_______________________________________________________________________________________________________________________________________________________________________