Проверка вар8
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--РАСЧЕТ АСНХРОННОГО ДВИГАТЕЛЯ С КОРОТКОЗАМКНУТЫМ РОТОРОМ--
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--Исходные данные:--
мощность на валу двигателя
P2 =
22000
Вт
_______________________________________________________________________________________________________________________________________________________________________
U1 =
380
В
_______________________________________________________________________________________________________________________________________________________________________
Частота:
f =
50
Гц
_______________________________________________________________________________________________________________________________________________________________________
Число пар полюсов
p =
2
_______________________________________________________________________________________________________________________________________________________________________
Высота оси вращения
h =
180
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружний диаметр статора
D1H =
313
мм
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kc =
0.9700
biz =
0.4000
biz1 =
0.5000
Pr =
355
Z1 =
48
kB1 =
0.2300
Hz1 =
2070
Hz2 =
1520
Ha =
750
p1050 =
2.5000
alfa1 =
111.6250
alfav =
21.6500
AJ1 =
183040000
kE =
0.9757
sig =
0.9600
Bsig =
0.7732
A =
34.6500
n =
0.8920
cosfi =
0.9007
kD =
0.6800
Ba =
1.6000
Bz1 =
1.9000
Bz2 =
1.8000
Z2 =
38
Kvil =
0.4000
Kl =
1.3000
K =
0.2000
bsh =
3.7000
bsh1 =
1.5000
hsh1 =
0.7000
hhsh1 =
0.3000
beta02 =
0.2391
kp1 =
0.9580
del =
1.6000
diz =
1.6850
Hj =
166.3506
kkck =
1.2776
fiss1 =
1.0853
fiss2 =
0.8202
fiss3 =
0.3480
fiss4 =
0.0968
fiss5 =
0.0685
fisskr =
0.0737
fifiss1 =
0.7006
fifiss2 =
0.7660
fifiss3 =
0.8673
fifiss4 =
0.9611
fifiss5 =
0.9611
fifisskr =
0.9688
ksigss1 =
0.7471
ksigss2 =
0.7704
ksigss3 =
0.8013
ksigss4 =
0.8831
ksigss5 =
0.9226
ksigsskr =
0.9142
lamlamekv =
1.3960
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1 Выбор главных размеров:
=======================================================================================================================================================================
1.1
Высота оси вращения(предварительно):
h =
180
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружный диаметр статора:
D1H =
313
мм
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1.2
Отношение внутренних и наружных диаметров сердечника статороа
kD =
0.6800
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр статора:
D1 =
212.8400
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.3
Полюсное деление:
tau =
167.1641
мм
_______________________________________________________________________________________________________________________________________________________________________
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1.4
Отношение ЭДС обмотки статора к номинальному напряжению
kE =
0.9757
_______________________________________________________________________________________________________________________________________________________________________
КПД
n =
0.8920
_______________________________________________________________________________________________________________________________________________________________________
Косинус фи
cosfi =
0.9007
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Расчетная мощность:
Pp =
2.6717e+004
ВА
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1.5 Электромагнитные нагрузки(предварительно):
A =
34.6500
А/м
_______________________________________________________________________________________________________________________________________________________________________
Bsig =
0.7732
Тл
_______________________________________________________________________________________________________________________________________________________________________
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1.6
Обмоточный коэффициент(предварительно)
kob1 =
0.9100
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1.7
Коэффициент формы поля
kB =
1.1100
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Синхронная угловая скорость вала двигателя
LJ =
157.0796
рад/с
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Расчетная длина магнитопровода:
lsig =
140
мм
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1.8
Коэффициент длины:
lam =
0.8375
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2 Определение Z1*v1 и площади поперечного сечения провода обмотки статора:
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2.1
Число пазов статора:
Z1 =
48
_______________________________________________________________________________________________________________________________________________________________________
тогда
q1 =
4
_______________________________________________________________________________________________________________________________________________________________________
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2.2
Зубцовое деление статора:
tZ1 =
13.9303
мм
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2.3
Номинальный ток обмотки статора
I1nom =
24.0209
А
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Число эффективных проводников в пазу(предварительно):
up =
20.0945
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2.4
Число четных проводников для двухслойной обмотки:
up1 =
20
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2.5
Окончательные значения число витков в фазе:
v1 =
160
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линейная нагрузка:
A1 =
34.4871
А/м
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Коэффициент распределения:
kp1 =
0.9580
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Расчетный шаг катушки:
yras =
10
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Полюснуе деление:
tau1 =
12
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Укорочение шага обмотки:
beta =
0.8333
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Коэффициент укорочения:
ky =
0.9659
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Обмоточный коэффициент:
kob11 =
0.9254
_______________________________________________________________________________________________________________________________________________________________________
магнитный поток:
F =
0.0113
Вб
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индукция в воздушном зазоре:
Bsig1 =
0.7571
Тл
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=======================================================================================================================================================================
2.6
Произведение линейной нагрузки на плотность тока:
AJ1 =
183040000
А^2/м^3
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Плотность тока в обмотке статора(предварительно) :
J1 =
5.3075e+006
А/м^2
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=======================================================================================================================================================================
2.7
Площадь поперечного сечения эффективного проводника(предварительно):
qef =
4.5258
мм^2
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=======================================================================================================================================================================
2.8
Число элементарных проводников:
nel =
2
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Сечение эффективного проводника(окончательно):
qel =
2.2629
мм^2
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Принимаем обмоточный провод марки ПЭТВ
тогда
del =
1.6000
мм
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qesr =
4.5258
мм^2
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2.9
Плотность тока в обмотке статора (окончательно):
J11 =
5.3075
А/мм^2
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3 Расчет размеров зубцовой зоны статора и воздушного зазора:
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3.1 Принимаем предварительно по таблице:
допустимая индукция в зубцах статора
Bz1 =
1.9000
Тл
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допустимая индукция в ярме статора
Ba =
1.6000
Тл
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Коэффициент заполнения стали магнитопроводов
kc =
0.9700
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Ширина зубца статора:
bz1 =
5.7224
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма статора:
ha =
25.9565
мм
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3.2
Ширина шлица:
bsh =
3.7000
мм
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Высота шлица:
hsh =
1
мм
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Угол наклона грани клиновой части:
beta1 =
45
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Размеры паза в штампе:
hp =
24.1235
мм
_______________________________________________________________________________________________________________________________________________________________________
b1 =
8.6637
мм
_______________________________________________________________________________________________________________________________________________________________________
b2 =
11.3657
мм
_______________________________________________________________________________________________________________________________________________________________________
hpk =
20.6417
мм
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3.3
Размеры паза в свету с учетом припуска на сборку:
bb1 =
8.4637
мм
_______________________________________________________________________________________________________________________________________________________________________
bb2 =
11.1657
мм
_______________________________________________________________________________________________________________________________________________________________________
hhpk =
20.4417
мм
_______________________________________________________________________________________________________________________________________________________________________
Односторонняя толщина изоляции в пазу:
biz =
0.4000
мм
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Площадь поперечного сечения корпусной изоляции в пазу:
Siz =
27.3106
мм^2
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Площадь поперечного сечения прокладок:
Spr =
12.3436
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения паза для размещения проводников обмотки:
Ssp =
160.9745
мм^2
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3.4
Среднее значение диаметра изолированного провода
мм
diz =
1.6850
Коэффициент заполнения паза:
Kz =
0.7055
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4 Расчет ротора:
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4.1 Воздушный зазор:
sig =
0.9600
мм
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4.2 Число пазов ротора:
Z2 =
38
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4.3 Внешний диаметр ротора:
D2 =
210.9200
мм
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4.4 Длина магнитопровода ротора:
l2 =
140
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.5 Зубцовое деление ротора:
tZ2 =
17.4375
мм
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4.6
Коэффициент:
kB1 =
0.2300
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр ротора равен диаметру вала, т.к. сердечник ротора непосредственно насаживается на вал:
Dj =
70
мм
_______________________________________________________________________________________________________________________________________________________________________
Диаметр вала:
DB =
70
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.7
Коэффициент учитывающий влияние тока намагничивания на отношение I1/I2:
kj =
0.9205
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Коэффициент приведения токов:
vi =
22.9895
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Ток в обмотке ротора:
I2 =
508.3437
А
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=======================================================================================================================================================================
4.8
Плотность тока в стержне литой клетки:
J2 =
2500000
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения стержня (предварительно):
qp =
203.3375
мм^2
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=======================================================================================================================================================================
4.9 Паз ротора:
Принимаем
Ширина шлица:
bsh1 =
1.5000
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота шлица:
hsh1 =
0.7000
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота перемычки над пазом:
hhsh1 =
0.3000
мм
_______________________________________________________________________________________________________________________________________________________________________
Допустимая индукция в зубцах ротора:
Bz2 =
1.8000
Тл
_______________________________________________________________________________________________________________________________________________________________________
Допустимая ширина зубца:
bz2 =
7.7225
мм
_______________________________________________________________________________________________________________________________________________________________________
Размеры паза:
b11 =
8.8204
мм
_______________________________________________________________________________________________________________________________________________________________________
b22 =
4.2762
мм
_______________________________________________________________________________________________________________________________________________________________________
h11 =
27.4830
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.10 Уточняем ширину зубцов ротора:
Полная высота паза:
hp1 =
35.0313
мм
_______________________________________________________________________________________________________________________________________________________________________
bbz2 =
7.8217
мм
_______________________________________________________________________________________________________________________________________________________________________
bbbz2 =
7.8217
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.11
Площадь поперечного сечения стержня:
qc =
217.6990
мм^2
_______________________________________________________________________________________________________________________________________________________________________
плотность тока в стержне:
J22 =
2.3351e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.12 Короткозамыкающие кольца.
Плотность тока в замыкающих кольцах:
Jkl =
1.9848e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
del =
0.3292
_______________________________________________________________________________________________________________________________________________________________________
Ток в короткозамыкающих кольцах:
Ikl =
1.5442e+003
А
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения кольца:
qkl =
778.0221
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Размеры короткозамыкающих колец:
Высота колец:
hkl =
43.7891
мм
_______________________________________________________________________________________________________________________________________________________________________
Ширина колец:
bkl =
17.7675
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения колец:
qkl1 =
778.0221
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Средний диаметр колец:
Dklsr =
167.1309
мм
_______________________________________________________________________________________________________________________________________________________________________
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5 Расчет магнитной цепи
=======================================================================================================================================================================
5.1
gama1 =
1.6777
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент:
ksig =
1.1307
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение воздушного зазора:
Fsig =
1.3430e+003
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.2
Hz1 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz1 =
24.1235
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны статора:
Fz1 =
99.8714
_______________________________________________________________________________________________________________________________________________________________________
расчетная индукция в зубцах:
Bbz1 =
1.9406
Тл
_______________________________________________________________________________________________________________________________________________________________________
Так как Bbz1 больше 1,8 Тл необходимо учесть ответвление потока в паз и найти действительную индукцию в зубце Bz11:
bpx =
10.0147
мм
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент определяющий отношене площадей поперечных сечений паза и зубца
kpx =
1.8042
_______________________________________________________________________________________________________________________________________________________________________
Принимаем,Bz11=1.9 проверяем соотношение Bz11 и Bbz1
Bz11 =
1.9359
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.3
Hz2 =
1520
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz2 =
34.6037
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны ротора:
Fz2 =
105.1951
А
_______________________________________________________________________________________________________________________________________________________________________
индукция в зубце:
Bz22 =
1.8000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.4 Коэффициент насыщения зубцовой зоны:
kz =
1.1527
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.5
Ha =
750
А/м
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме статора:
La =
225.4435
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма статора:
Fa =
169.0826
А
_______________________________________________________________________________________________________________________________________________________________________
при отсутствии радиальных вентиляционных каналов в статоре:
hha =
25.9565
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме статора:
Baa =
1.6000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.6
Hj =
166.3506
А/м
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма ротора:
hj =
35.4287
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме ротора:
Lj =
82.8035
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма ротора:
Fj =
13.7744
А
_______________________________________________________________________________________________________________________________________________________________________
где для четырехполюсных машин при 0.75*(0.5*D2-hp1)<Dj:
Расчетная высота ярма ротора:
hhj =
44.0180
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме ротора:
Bj =
0.9435
x =
0.9435
Bj =
0.9435
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.7 Магнитное напряжение на пазу полюсов:
Fts =
1.7309e+003
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.8 Коэффициент насыщения магнитной цепи:
kmu =
1.2889
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.9 Намагничивающий ток:
Imu =
8.6599
А
_______________________________________________________________________________________________________________________________________________________________________
Относительное значение:
Iimu =
0.3605
_______________________________________________________________________________________________________________________________________________________________________
%0,2 < Iimu < 0,3
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6 Параметры рабочего режима
=======================================================================================================================================================================
6.1
(для класса нагревостойкости изоляции F расчетная температура vрасч=115 гр С; для медных проводников p115=10^-6/41 Ом*м):
где B=10мм; по таблице 9.23 Kl=1.3:
Kl =
1.3000
_______________________________________________________________________________________________________________________________________________________________________
Средняя ширина катушки:
bkt =
155.0923
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина лобовой части катушки всыпной обмотки статора:
ll1 =
221.6199
мм
_______________________________________________________________________________________________________________________________________________________________________
Длинна пазовой части:
lp1 =
140
мм
_______________________________________________________________________________________________________________________________________________________________________