Проверка вар1
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--РАСЧЕТ АСНХРОННОГО ДВИГАТЕЛЯ С КОРОТКОЗАМКНУТЫМ РОТОРОМ--
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--Исходные данные:--
мощность на валу двигателя
P2 =
1500
Вт
_______________________________________________________________________________________________________________________________________________________________________
U1 =
380
В
_______________________________________________________________________________________________________________________________________________________________________
Частота:
f =
50
Гц
_______________________________________________________________________________________________________________________________________________________________________
Число пар полюсов
p =
3
_______________________________________________________________________________________________________________________________________________________________________
Высота оси вращения
h =
100
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружний диаметр статора
D1H =
168
мм
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kc =
0.9700
biz =
0.2500
biz1 =
0
Pr =
190.0000
Z1 =
36
kB1 =
0.2300
Hz1 =
2070
Hz2 =
2070
Ha =
750
p1050 =
2.5000
alfa1 =
82
alfav =
18.6000
AJ1 =
177000000
kE =
0.9486
sig =
0.3440
Bsig =
0.8593
A =
24.4000
n =
0.7275
cosfi =
0.7250
kD =
0.7100
Ba =
1.6000
Bz1 =
1.9000
Bz2 =
1.9000
Z2 =
26
Kvil =
0.5000
Kl =
1.4000
K =
0.1900
bsh =
3
bsh1 =
1
hsh1 =
0.5000
hhsh1 =
0.3000
beta02 =
0.3808
kp1 =
0.9660
del =
0.4500
diz =
0.4900
Hj =
160.4202
kkck =
1.4649
fiss1 =
0.3423
fiss2 =
0.2311
fiss3 =
0.1192
fiss4 =
0.0681
fiss5 =
0.0482
fisskr =
0.0598
fifiss1 =
0.8692
fifiss2 =
0.9057
fifiss3 =
0.9485
fifiss4 =
0.9706
fifiss5 =
0.9706
fifisskr =
0.9734
ksigss1 =
0.7141
ksigss2 =
0.7385
ksigss3 =
0.7762
ksigss4 =
0.8817
ksigss5 =
0.9258
ksigsskr =
0.9044
lamlamekv =
1.1153
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1 Выбор главных размеров:
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1.1
Высота оси вращения(предварительно):
h =
100
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружный диаметр статора:
D1H =
168
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.2
Отношение внутренних и наружных диаметров сердечника статороа
kD =
0.7100
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр статора:
D1 =
119.2800
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.3
Полюсное деление:
tau =
62.4549
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.4
Отношение ЭДС обмотки статора к номинальному напряжению
kE =
0.9486
_______________________________________________________________________________________________________________________________________________________________________
КПД
n =
0.7275
_______________________________________________________________________________________________________________________________________________________________________
Косинус фи
cosfi =
0.7250
_______________________________________________________________________________________________________________________________________________________________________
Расчетная мощность:
Pp =
2.6978e+003
ВА
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1.5 Электромагнитные нагрузки(предварительно):
A =
24.4000
А/м
_______________________________________________________________________________________________________________________________________________________________________
Bsig =
0.8593
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
_______________________________________________________________________________________________________________________________________________________________________
Синхронная угловая скорость вала двигателя
LJ =
104.7198
рад/с
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Расчетная длина магнитопровода:
lsig =
85
мм
_______________________________________________________________________________________________________________________________________________________________________
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1.8
Коэффициент длины:
lam =
1.3610
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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 =
36
_______________________________________________________________________________________________________________________________________________________________________
тогда
q1 =
2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.2
Зубцовое деление статора:
tZ1 =
10.4091
мм
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2.3
Номинальный ток обмотки статора
I1nom =
2.4947
А
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Число эффективных проводников в пазу(предварительно):
up =
101.8098
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2.4
Число четных проводников для двухслойной обмотки:
up1 =
102
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2.5
Окончательные значения число витков в фазе:
v1 =
612
_______________________________________________________________________________________________________________________________________________________________________
линейная нагрузка:
A1 =
24.4456
А/м
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Коэффициент распределения:
kp1 =
0.9660
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Расчетный шаг катушки:
yras =
6
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Полюснуе деление:
tau1 =
6
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Укорочение шага обмотки:
beta =
1
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент укорочения:
ky =
1
_______________________________________________________________________________________________________________________________________________________________________
Обмоточный коэффициент:
kob11 =
0.9660
_______________________________________________________________________________________________________________________________________________________________________
магнитный поток:
F =
0.0027
Вб
_______________________________________________________________________________________________________________________________________________________________________
индукция в воздушном зазоре:
Bsig1 =
0.8127
Тл
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=======================================================================================================================================================================
2.6
Произведение линейной нагрузки на плотность тока:
AJ1 =
177000000
А^2/м^3
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Плотность тока в обмотке статора(предварительно) :
J1 =
7.2406e+006
А/м^2
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=======================================================================================================================================================================
2.7
Площадь поперечного сечения эффективного проводника(предварительно):
qef =
0.3445
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.8
Число элементарных проводников:
nel =
2
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Сечение эффективного проводника(окончательно):
qel =
0.1723
мм^2
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Принимаем обмоточный провод марки ПЭТВ
тогда
del =
0.4500
мм
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qesr =
0.3445
мм^2
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2.9
Плотность тока в обмотке статора (окончательно):
J11 =
7.2406
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
_______________________________________________________________________________________________________________________________________________________________________
Ширина зубца статора:
bz1 =
4.5900
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма статора:
ha =
10.4099
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
3.2
Ширина шлица:
bsh =
3
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 =
13.9501
мм
_______________________________________________________________________________________________________________________________________________________________________
b1 =
6.2799
мм
_______________________________________________________________________________________________________________________________________________________________________
b2 =
8.2539
мм
_______________________________________________________________________________________________________________________________________________________________________
hpk =
11.3102
мм
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3.3
Размеры паза в свету с учетом припуска на сборку:
bb1 =
6.0799
мм
_______________________________________________________________________________________________________________________________________________________________________
bb2 =
8.0539
мм
_______________________________________________________________________________________________________________________________________________________________________
hhpk =
11.1102
мм
_______________________________________________________________________________________________________________________________________________________________________
Односторонняя толщина изоляции в пазу:
biz =
0.2500
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения корпусной изоляции в пазу:
Siz =
10.6085
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения прокладок:
Spr =
8.9535
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения паза для размещения проводников обмотки:
Ssp =
58.9529
мм^2
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3.4
Среднее значение диаметра изолированного провода
мм
diz =
0.4900
Коэффициент заполнения паза:
Kz =
0.8308
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4 Расчет ротора:
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4.1 Воздушный зазор:
sig =
0.3440
мм
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4.2 Число пазов ротора:
Z2 =
26
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=======================================================================================================================================================================
4.3 Внешний диаметр ротора:
D2 =
118.5920
мм
_______________________________________________________________________________________________________________________________________________________________________
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4.4 Длина магнитопровода ротора:
l2 =
85
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.5 Зубцовое деление ротора:
tZ2 =
14.3295
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 =
40
мм
_______________________________________________________________________________________________________________________________________________________________________
Диаметр вала:
DB =
40
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.7
Коэффициент учитывающий влияние тока намагничивания на отношение I1/I2:
kj =
0.7800
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент приведения токов:
vi =
128.5200
_______________________________________________________________________________________________________________________________________________________________________
Ток в обмотке ротора:
I2 =
250.0810
А
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=======================================================================================================================================================================
4.8
Плотность тока в стержне литой клетки:
J2 =
2500000
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения стержня (предварительно):
qp =
100.0324
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.9 Паз ротора:
Принимаем
Ширина шлица:
bsh1 =
1
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота шлица:
hsh1 =
0.5000
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота перемычки над пазом:
hhsh1 =
0.3000
мм
_______________________________________________________________________________________________________________________________________________________________________
Допустимая индукция в зубцах ротора:
Bz2 =
1.9000
Тл
_______________________________________________________________________________________________________________________________________________________________________
Допустимая ширина зубца:
bz2 =
6.6814
мм
_______________________________________________________________________________________________________________________________________________________________________
Размеры паза:
b11 =
6.6511
мм
_______________________________________________________________________________________________________________________________________________________________________
b22 =
1.8980
мм
_______________________________________________________________________________________________________________________________________________________________________
h11 =
19.6688
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.10 Уточняем ширину зубцов ротора:
Полная высота паза:
hp1 =
24.7433
мм
_______________________________________________________________________________________________________________________________________________________________________
bbz2 =
6.8264
мм
_______________________________________________________________________________________________________________________________________________________________________
bbbz2 =
6.8264
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.11
Площадь поперечного сечения стержня:
qc =
102.8616
мм^2
_______________________________________________________________________________________________________________________________________________________________________
плотность тока в стержне:
J22 =
2.4312e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.12 Короткозамыкающие кольца.
Плотность тока в замыкающих кольцах:
Jkl =
2.0666e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
del =
0.7092
_______________________________________________________________________________________________________________________________________________________________________
Ток в короткозамыкающих кольцах:
Ikl =
352.6192
А
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения кольца:
qkl =
170.6317
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Размеры короткозамыкающих колец:
Высота колец:
hkl =
30.9291
мм
_______________________________________________________________________________________________________________________________________________________________________
Ширина колец:
bkl =
5.5169
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения колец:
qkl1 =
170.6317
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Средний диаметр колец:
Dklsr =
87.6629
мм
_______________________________________________________________________________________________________________________________________________________________________
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5 Расчет магнитной цепи
=======================================================================================================================================================================
5.1
gama1 =
5.5430
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент:
ksig =
1.2243
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение воздушного зазора:
Fsig =
579.0491
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.2
Hz1 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz1 =
13.9501
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны статора:
Fz1 =
57.7536
_______________________________________________________________________________________________________________________________________________________________________
расчетная индукция в зубцах:
Bbz1 =
2.0091
Тл
_______________________________________________________________________________________________________________________________________________________________________
Так как Bbz1 больше 1,8 Тл необходимо учесть ответвление потока в паз и найти действительную индукцию в зубце Bz11:
bpx =
7.2669
мм
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент определяющий отношене площадей поперечных сечений паза и зубца
kpx =
1.6322
_______________________________________________________________________________________________________________________________________________________________________
Принимаем,Bz11=1.9 проверяем соотношение Bz11 и Bbz1
Bz11 =
2.0048
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.3
Hz2 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz2 =
24.5535
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны ротора:
Fz2 =
101.6515
А
_______________________________________________________________________________________________________________________________________________________________________
индукция в зубце:
Bz22 =
1.9000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.4 Коэффициент насыщения зубцовой зоны:
kz =
1.2753
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.5
Ha =
750
А/м
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме статора:
La =
82.5140
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма статора:
Fa =
61.8855
А
_______________________________________________________________________________________________________________________________________________________________________
при отсутствии радиальных вентиляционных каналов в статоре:
hha =
10.4099
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме статора:
Baa =
1.6000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.6
Hj =
160.4202
А/м
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма ротора:
hj =
14.5527
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме ротора:
Lj =
28.5637
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма ротора:
Fj =
4.5822
А
_______________________________________________________________________________________________________________________________________________________________________
где для четырехполюсных машин при 0.75*(0.5*D2-hp1)<Dj:
Расчетная высота ярма ротора:
hhj =
17.9962
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме ротора:
Bj =
0.9255
x =
0.9255
Bj =
0.9255
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.7 Магнитное напряжение на пазу полюсов:
Fts =
804.9219
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.8 Коэффициент насыщения магнитной цепи:
kmu =
1.3901
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.9 Намагничивающий ток:
Imu =
1.5128
А
_______________________________________________________________________________________________________________________________________________________________________
Относительное значение:
Iimu =
0.6064
_______________________________________________________________________________________________________________________________________________________________________
%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 =
1.4000
_______________________________________________________________________________________________________________________________________________________________________
Средняя ширина катушки:
bkt =
69.7591
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина лобовой части катушки всыпной обмотки статора:
ll1 =
117.6628
мм
_______________________________________________________________________________________________________________________________________________________________________
Длинна пазовой части:
lp1 =
85
мм
_______________________________________________________________________________________________________________________________________________________________________