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Средняя длинна витка обмотки:

lsr1 =

637.8743

мм

_______________________________________________________________________________________________________________________________________________________________________

Длина проводников фазы обмотки:

L1 =

130.1264

мм

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление обмотки статора:

r1 =

0.8903

Ом

_______________________________________________________________________________________________________________________________________________________________________

Kvil =

0.5000

_______________________________________________________________________________________________________________________________________________________________________

Длина вылета лобовой части катушки:

lvil =

70.3347

мм

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rr1 =

0.0500

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

6.2

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

Сопротивление участка замыкающего кольца,заключонного между двумя соседними стержнями:

rkl =

9.3891e-007

Ом

_______________________________________________________________________________________________________________________________________________________________________

Сопротивление стержня:

rc =

3.9435e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Активное сопротивление фазы алюминиевой обмотки ротора:

r2 =

7.0732e-005

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим r2 к числу витков обмотки статора:

rr2 =

0.5215

Ом

здесь ksk=1

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

rrr2 =

0.0293

_______________________________________________________________________________________________________________________________________________________________________

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

6.3

kkbeta =

0.8750

_______________________________________________________________________________________________________________________________________________________________________

kbeta =

0.9063

_______________________________________________________________________________________________________________________________________________________________________

hk =

1.2464

мм

_______________________________________________________________________________________________________________________________________________________________________

h222 =

25.5175

мм

_______________________________________________________________________________________________________________________________________________________________________

betack =

0

kkck =

1.2505

_______________________________________________________________________________________________________________________________________________________________________

eps =

0.9633

_______________________________________________________________________________________________________________________________________________________________________

lamd1 =

0.9354

_______________________________________________________________________________________________________________________________________________________________________

laml1 =

1.2527

_______________________________________________________________________________________________________________________________________________________________________

lamp1 =

1.7219

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки статора:

x1 =

1.3926

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xx1 =

0.0782

_______________________________________________________________________________________________________________________________________________________________________

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

6.4

h0 =

25.9097

_______________________________________________________________________________________________________________________________________________________________________

eps1 =

1.0053

_______________________________________________________________________________________________________________________________________________________________________

lamd2 =

1.2043

_______________________________________________________________________________________________________________________________________________________________________

laml2 =

0.6972

_______________________________________________________________________________________________________________________________________________________________________

lamp2 =

2.9150

_______________________________________________________________________________________________________________________________________________________________________

Индуктивное сопротивление фазы обмотки ротора:

x2 =

2.4732e-004

Ом

_______________________________________________________________________________________________________________________________________________________________________

Приводим x2 к числу витков статора:

xx2 =

1.8235

Ом

_______________________________________________________________________________________________________________________________________________________________________

Относительное значение:

xxx2 =

0.1024

_______________________________________________________________________________________________________________________________________________________________________

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

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

7 Расчет потерь

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

7.1

Удельные потери в стали:

p1050 =

2.5000

Вт/кг

_______________________________________________________________________________________________________________________________________________________________________

_______________________________________________________________________________________________________________________________________________________________________

Масса стали зубцов статора:

mz1 =

9.8084

кг

_______________________________________________________________________________________________________________________________________________________________________

Масса стали ярма статора:

ma =

22.0797

кг

_______________________________________________________________________________________________________________________________________________________________________

Потери в стали основные:

Pstosn =

386.8763

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.2

beta02 =

0.2855

_______________________________________________________________________________________________________________________________________________________________________

B02 =

0.2828

Тл

_______________________________________________________________________________________________________________________________________________________________________

удельные поверхностные потери в роторе:

ppov2 =

248.8033

Вт/м^2

_______________________________________________________________________________________________________________________________________________________________________

Поверхностные потери в роторе:

Ppov2 =

22.2077

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.3

Масса стали зубцов ротора:

mz2 =

10.3327

кг

_______________________________________________________________________________________________________________________________________________________________________

Амплитуда пульсаций индукции в среднем сечении зубцов:

Bpul2 =

0.1289

Тл

_______________________________________________________________________________________________________________________________________________________________________

Пульсационные потери в зубцах ротора:

Ppul2 =

220.3941

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.4 Сумма добавочных потерь в стали:

Pstdob =

242.6018

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.5 Полные потери в стали:

Pst =

629.4781

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.6

для двигателей с 2p=4 коэффициент:

Kt =

0.8463

_______________________________________________________________________________________________________________________________________________________________________

Механические потери:

Pmex =

282.4936

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

7.7

Электрические потери в статоре:

Pe1xx =

238.2656

Вт

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока холостого хода:

Ixxa =

1.0090

А

_______________________________________________________________________________________________________________________________________________________________________

Холостой ход двигателя:

Ixx =

9.4985

А

_______________________________________________________________________________________________________________________________________________________________________

Коэффициент мощьности при холостом ходу:

cosfixx =

0.1062

_______________________________________________________________________________________________________________________________________________________________________

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

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

8 Расчет рабочих характеристик

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

8.1 Параметры:

r12 =

1.4457

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12 =

38.8414

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0359

_______________________________________________________________________________________________________________________________________________________________________

используем приближенную формулу:

gama =

0.0208

_______________________________________________________________________________________________________________________________________________________________________

Активная составляющая тока синхронного холостого хода:

I0a =

0.5484

А

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0730

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.9223

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

3.3991

Ом

_______________________________________________________________________________________________________________________________________________________________________

Потери, не изменяющиеся при изменении скольжения:

Pnez =

0.9120

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 =

0.0293

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

Номинальные данные спроектированного двигателя:

P2 =

18500

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

21.3426

А

_______________________________________________________________________________________________________________________________________________________________________

cosfi =

0.8670

_______________________________________________________________________________________________________________________________________________________________________

n =

0.8770

_______________________________________________________________________________________________________________________________________________________________________

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

Рабочие характеристики асинхронного двигателя:

P2 =

18500

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I0a =

0.5484

А

_______________________________________________________________________________________________________________________________________________________________________

I0p =

9.4447

А

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.8903

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.5215

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1 =

1.0359

_______________________________________________________________________________________________________________________________________________________________________

aa =

1.0730

_______________________________________________________________________________________________________________________________________________________________________

a1 =

0.9223

Ом

_______________________________________________________________________________________________________________________________________________________________________

bb =

0

_______________________________________________________________________________________________________________________________________________________________________

b =

3.3991

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

1

ans =

111.9120

ans =

55.9560

ans =

37.3040

ans =

27.9780

ans =

22.3824

ans =

18.6520

ans =

19.1043

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

2

Rs1 =

112.8342

Rs2 =

56.8783

Rs3 =

38.2263

Rs4 =

28.9003

Rs5 =

23.3047

Rs6 =

19.5743

Rsnom =

20.0266

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

3

Xs1 =

3.3991

Xs2 =

3.3991

Xs3 =

3.3991

Xs4 =

3.3991

Xs5 =

3.3991

Xs6 =

3.3991

Xsnom =

3.3991

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

4

Zs1 =

112.8854

Zs2 =

56.9797

Zs3 =

38.3771

Zs4 =

29.0995

Zs5 =

23.5512

Zs6 =

19.8672

Zsnom =

20.3130

Ом

_______________________________________________________________________________________________________________________________________________________________________

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

5

III2s1 =

3.3662

III2s2 =

6.6690

III2s3 =

9.9017

III2s4 =

13.0587

III2s5 =

16.1350

III2s6 =

19.1270

III2snom =

18.7072

А

_______________________________________________________________________________________________________________________________________________________________________

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

6

cosfifi2s1 =

0.9995

cosfifi2s2 =

0.9982

cosfifi2s3 =

0.9961

cosfifi2s4 =

0.9932

cosfifi2s5 =

0.9895

cosfifi2s6 =

0.9853

cosfifi2snom =

0.9859

_______________________________________________________________________________________________________________________________________________________________________

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

7

sinfifi2s1 =

0.0301

sinfifi2s2 =

0.0597

sinfifi2s3 =

0.0886

sinfifi2s4 =

0.1168

sinfifi2s5 =

0.1443

sinfifi2s6 =

0.1711

sinfifi2snom =

0.1673

_______________________________________________________________________________________________________________________________________________________________________

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

8

I1as1 =

3.9131

I1as2 =

7.2055

I1as3 =

10.4112

I1as4 =

13.5176

I1as5 =

16.5145

I1as6 =

19.3933

I1asnom =

18.9918

А

_______________________________________________________________________________________________________________________________________________________________________

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

9

I1ps1 =

9.5461

I1ps2 =

9.8426

I1ps3 =

10.3217

I1ps4 =

10.9701

I1ps5 =

11.7735

I1ps6 =

12.7172

I1psnom =

12.5751

А

_______________________________________________________________________________________________________________________________________________________________________

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

10

I1s1 =

10.3170

I1s2 =

12.1982

I1s3 =

14.6605

I1s4 =

17.4089

I1s5 =

20.2816

I1s6 =

23.1911

I1snom =

22.7777

А

_______________________________________________________________________________________________________________________________________________________________________

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

11

II2s1 =

3.4869

II2s2 =

6.9081

II2s3 =

10.2568

II2s4 =

13.5269

II2s5 =

16.7135

II2s6 =

19.8128

II2snom =

19.3779

А

_______________________________________________________________________________________________________________________________________________________________________

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

12

P1s1 =

4.4609

P1s2 =

8.2143

P1s3 =

11.8688

P1s4 =

15.4101

P1s5 =

18.8265

P1s6 =

22.1084

P1snom =

21.6506

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

13

Pe1s1 =

0.2843

Pe1s2 =

0.3974

Pe1s3 =

0.5741

Pe1s4 =

0.8095

Pe1s5 =

1.0987

Pe1s6 =

1.4366

Pe1snom =

1.3858

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

14

Pe2s1 =

0.0190

Pe2s2 =

0.0747

Pe2s3 =

0.1646

Pe2s4 =

0.2863

Pe2s5 =

0.4370

Pe2s6 =

0.6141

Pe2snom =

0.5875

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

15

Pdobs1 =

0.0223

Pdobs2 =

0.0411

Pdobs3 =

0.0593

Pdobs4 =

0.0771

Pdobs5 =

0.0941

Pdobs6 =

0.1105

Pdobsnom =

0.1083

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

16

sumPs1 =

1.2376

sumPs2 =

1.4251

sumPs3 =

1.7100

sumPs4 =

2.0848

sumPs5 =

2.5418

sumPs6 =

3.0732

sumPsnom =

2.9935

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

17

P2s1 =

3.2233

P2s2 =

6.7892

P2s3 =

10.1588

P2s4 =

13.3253

P2s5 =

16.2846

P2s6 =

19.0352

P2snom =

18.6572

Вт

_______________________________________________________________________________________________________________________________________________________________________

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

18

nus1 =

0.7226

nus2 =

0.8265

nus3 =

0.8559

nus4 =

0.8647

nus5 =

0.8650

nus6 =

0.8610

nusnom =

0.8617

_______________________________________________________________________________________________________________________________________________________________________

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

19

cosfis1 =

0.3793

cosfis2 =

0.5907

cosfis3 =

0.7102

cosfis4 =

0.7765

cosfis5 =

0.8143

cosfis6 =

0.8362

cosfisnom =

0.8338

_______________________________________________________________________________________________________________________________________________________________________

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

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

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 =

18500

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

21.3426

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

19.3779

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

1.3926

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.8235

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.8903

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.5215

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0293

_______________________________________________________________________________________________________________________________________________________________________

Скольжения:

ss1 =

1

ss2 =

0.8000

ss3 =

0.5000

ss4 =

0.2000

ss5 =

0.1000

_______________________________________________________________________________________________________________________________________________________________________

Пусковые параметры:

x12p =

50.9188

Ом

_______________________________________________________________________________________________________________________________________________________________________

c1p =

1.0273

_______________________________________________________________________________________________________________________________________________________________________

Критическое скольжение:

sskr =

0.1640

_______________________________________________________________________________________________________________________________________________________________________

hc =

29.7812

мм

_______________________________________________________________________________________________________________________________________________________________________

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

1

epsss1 =

1.8944

epsss1 =

1.8944

epsss2 =

1.6944

epsss2 =

1.6944

epsss3 =

1.3395

epsss3 =

1.3395

epsss4 =

0.8472

epsss4 =

0.8472

epsss5 =

0.5991

epsss5 =

0.5991

epssskr =

0.7673

epssskr =

0.7673

_______________________________________________________________________________________________________________________________________________________________________

2

fiss1 =

0.7680

fiss2 =

0.5180

fiss3 =

0.2198

fiss4 =

0.0847

fiss5 =

0.0599

fisskr =

0.0767

_______________________________________________________________________________________________________________________________________________________________________

3

hrss1 =

16.8448

hrss2 =

19.6189

hrss3 =

24.4155

hrss4 =

27.4552

hrss5 =

28.0980

hrsskr =

27.6590

мм

_______________________________________________________________________________________________________________________________________________________________________

4

brss1 =

5.4378

brss2 =

5.1373

brss3 =

4.6177

brss4 =

4.2884

brss5 =

4.2188

brsskr =

4.2663

мм

_______________________________________________________________________________________________________________________________________________________________________

qrss1 =

101.2326

qrss2 =

115.9011

qrss3 =

139.2966

qrss4 =

152.8326

qrss5 =

155.5666

qrsskr =

153.7043

мм^2

_______________________________________________________________________________________________________________________________________________________________________

krss1 =

1.5885

krss2 =

1.3874

krss3 =

1.1544

krss4 =

1.0522

krss5 =

1.0337

krsskr =

1.0462

_______________________________________________________________________________________________________________________________________________________________________

5

KRss1 =

1.3281

KRss2 =

1.2160

KRss3 =

1.0861

KRss4 =

1.0291

KRss5 =

1.0188

KRsskr =

1.0258

_______________________________________________________________________________________________________________________________________________________________________

6

rr2epsss1 =

0.6926

rr2epsss2 =

0.6341

rr2epsss3 =

0.5664

rr2epsss4 =

0.5367

rr2epsss5 =

0.5313

rr2epssskr =

0.5349

Ом

_______________________________________________________________________________________________________________________________________________________________________

7

fifiss1 =

0.7764

fifiss2 =

0.8264

fifiss3 =

0.9091

fifiss4 =

0.9651

fifiss5 =

0.9651

fifisskr =

0.9678

_______________________________________________________________________________________________________________________________________________________________________

kdss1 =

0.7764

kdss2 =

0.8264

kdss3 =

0.9091

kdss4 =

0.9651

kdss5 =

0.9651

kdsskr =

0.9678

_______________________________________________________________________________________________________________________________________________________________________

8

dellamp2epsss1 =

0.3423

dellamp2epsss2 =

0.2658

dellamp2epsss3 =

0.1392

dellamp2epsss4 =

0.0534

dellamp2epsss5 =

0.0534

dellamp2epssskr =

0.0494

_______________________________________________________________________________________________________________________________________________________________________

lamp2epsss1 =

2.5727

lamp2epsss2 =

2.6492

lamp2epsss3 =

2.7758

lamp2epsss4 =

2.8616

lamp2epsss5 =

2.8616

lamp2epssskr =

2.8657

_______________________________________________________________________________________________________________________________________________________________________

9

Kxss1 =

0.9289

Kxss2 =

0.9448

Kxss3 =

0.9711

Kxss4 =

0.9889

Kxss5 =

0.9889

Kxsskr =

0.9898

_______________________________________________________________________________________________________________________________________________________________________

10

xx2epsss1 =

1.6939

xx2epsss2 =

1.7229

xx2epsss3 =

1.7708

xx2epsss4 =

1.8032

xx2epsss5 =

1.8032

xx2epssskr =

1.8048

Ом

_______________________________________________________________________________________________________________________________________________________________________

11

Rpss1 =

1.6019

Rpss2 =

1.7047

Rpss3 =

2.0541

Rpss4 =

3.6471

Rpss5 =

6.3485

Rpsskr =

4.2404

Ом

_______________________________________________________________________________________________________________________________________________________________________

12

Xpss1 =

3.1328

Xpss2 =

3.1626

Xpss3 =

3.2118

Xpss4 =

3.2452

Xpss5 =

3.2452

Xpsskr =

3.2467

Ом

_______________________________________________________________________________________________________________________________________________________________________

13

II2pss1 =

107.9976

II2pss2 =

105.7682

II2pss3 =

99.6725

II2pss4 =

77.8399

II2pss5 =

53.2969

II2psskr =

71.1522

А

_______________________________________________________________________________________________________________________________________________________________________

14

I1pss1 =

111.6393

I1pss2 =

109.4012

I1pss3 =

103.2129

I1pss4 =

80.7790

I1pss5 =

55.5622

I1psskr =

73.8996

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 =

18500

Вт

_______________________________________________________________________________________________________________________________________________________________________

U1 =

380

В

_______________________________________________________________________________________________________________________________________________________________________

p =

3

_______________________________________________________________________________________________________________________________________________________________________

I1nom =

21.3426

А

_______________________________________________________________________________________________________________________________________________________________________

II2snom =

19.3779

А

_______________________________________________________________________________________________________________________________________________________________________

x1 =

1.3926

Ом

_______________________________________________________________________________________________________________________________________________________________________

xx2 =

1.8235

Ом

_______________________________________________________________________________________________________________________________________________________________________

x12p =

50.9188

Ом

_______________________________________________________________________________________________________________________________________________________________________

r1 =

0.8903

Ом

_______________________________________________________________________________________________________________________________________________________________________

rr2 =

0.5215

Ом

_______________________________________________________________________________________________________________________________________________________________________

snom =

0.0293

_______________________________________________________________________________________________________________________________________________________________________

CN =

1.0871

_______________________________________________________________________________________________________________________________________________________________________