Проверка вар11
.docx***********************************************************************************************************************************************************************
--РАСЧЕТ АСНХРОННОГО ДВИГАТЕЛЯ С КОРОТКОЗАМКНУТЫМ РОТОРОМ--
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
--Исходные данные:--
мощность на валу двигателя
P2 =
18500
Вт
_______________________________________________________________________________________________________________________________________________________________________
U1 =
380
В
_______________________________________________________________________________________________________________________________________________________________________
Частота:
f =
50
Гц
_______________________________________________________________________________________________________________________________________________________________________
Число пар полюсов
p =
3
_______________________________________________________________________________________________________________________________________________________________________
Высота оси вращения
h =
200
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружний диаметр статора
D1H =
349
мм
***********************************************************************************************************************************************************************
kc =
0.9700
biz =
0.4000
biz1 =
0.5000
Pr =
390
Z1 =
72
kB1 =
0.2300
Hz1 =
2070
Hz2 =
2070
Ha =
750
p1050 =
2.5000
alfa1 =
102.4500
alfav =
19.4500
AJ1 =
200920000
kE =
0.9720
sig =
0.7725
Bsig =
0.8245
A =
34.4500
n =
0.8770
cosfi =
0.8670
kD =
0.7100
Ba =
1.6000
Bz1 =
1.9000
Bz2 =
1.9000
Z2 =
58
Kvil =
0.5000
Kl =
1.4000
K =
0.1900
bsh =
3.7000
bsh1 =
1.5000
hsh1 =
0.7000
hhsh1 =
0.3000
beta02 =
0.2855
kp1 =
0.9580
del =
1.5000
diz =
1.5850
Hj =
106.3858
kkck =
1.2505
fiss1 =
0.7680
fiss2 =
0.5180
fiss3 =
0.2198
fiss4 =
0.0847
fiss5 =
0.0599
fisskr =
0.0767
fifiss1 =
0.7764
fifiss2 =
0.8264
fifiss3 =
0.9091
fifiss4 =
0.9651
fifiss5 =
0.9651
fifisskr =
0.9678
ksigss1 =
0.7711
ksigss2 =
0.7936
ksigss3 =
0.8290
ksigss4 =
0.9038
ksigss5 =
0.9393
ksigsskr =
0.9171
lamlamekv =
1.3674
***********************************************************************************************************************************************************************
1 Выбор главных размеров:
=======================================================================================================================================================================
1.1
Высота оси вращения(предварительно):
h =
200
мм
_______________________________________________________________________________________________________________________________________________________________________
Наружный диаметр статора:
D1H =
349
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.2
Отношение внутренних и наружных диаметров сердечника статороа
kD =
0.7100
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр статора:
D1 =
247.7900
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.3
Полюсное деление:
tau =
129.7425
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.4
Отношение ЭДС обмотки статора к номинальному напряжению
kE =
0.9720
_______________________________________________________________________________________________________________________________________________________________________
КПД
n =
0.8770
_______________________________________________________________________________________________________________________________________________________________________
Косинус фи
cosfi =
0.8670
_______________________________________________________________________________________________________________________________________________________________________
Расчетная мощность:
Pp =
2.3648e+004
ВА
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.5 Электромагнитные нагрузки(предварительно):
A =
34.4500
А/м
_______________________________________________________________________________________________________________________________________________________________________
Bsig =
0.8245
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.6
Обмоточный коэффициент(предварительно)
kob1 =
0.9100
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.7
Коэффициент формы поля
kB =
1.1100
_______________________________________________________________________________________________________________________________________________________________________
Синхронная угловая скорость вала двигателя
LJ =
104.7198
рад/с
_______________________________________________________________________________________________________________________________________________________________________
Расчетная длина магнитопровода:
lsig =
130
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.8
Коэффициент длины:
lam =
1.0020
_______________________________________________________________________________________________________________________________________________________________________
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
2 Определение Z1*v1 и площади поперечного сечения провода обмотки статора:
=======================================================================================================================================================================
2.1
Число пазов статора:
Z1 =
72
_______________________________________________________________________________________________________________________________________________________________________
тогда
q1 =
4
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.2
Зубцовое деление статора:
tZ1 =
10.8119
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.3
Номинальный ток обмотки статора
I1nom =
21.3426
А
_______________________________________________________________________________________________________________________________________________________________________
Число эффективных проводников в пазу(предварительно):
up =
17.4519
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.4
Число четных проводников для двухслойной обмотки:
up1 =
17
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.5
Окончательные значения число витков в фазе:
v1 =
204
_______________________________________________________________________________________________________________________________________________________________________
линейная нагрузка:
A1 =
33.5580
А/м
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент распределения:
kp1 =
0.9580
_______________________________________________________________________________________________________________________________________________________________________
Расчетный шаг катушки:
yras =
10
_______________________________________________________________________________________________________________________________________________________________________
Полюснуе деление:
tau1 =
12
_______________________________________________________________________________________________________________________________________________________________________
Укорочение шага обмотки:
beta =
0.8333
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент укорочения:
ky =
0.9659
_______________________________________________________________________________________________________________________________________________________________________
Обмоточный коэффициент:
kob11 =
0.9254
_______________________________________________________________________________________________________________________________________________________________________
магнитный поток:
F =
0.0088
Вб
_______________________________________________________________________________________________________________________________________________________________________
индукция в воздушном зазоре:
Bsig1 =
0.8208
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.6
Произведение линейной нагрузки на плотность тока:
AJ1 =
200920000
А^2/м^3
_______________________________________________________________________________________________________________________________________________________________________
Плотность тока в обмотке статора(предварительно) :
J1 =
5.9872e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.7
Площадь поперечного сечения эффективного проводника(предварительно):
qef =
3.5647
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.8
Число элементарных проводников:
nel =
2
_______________________________________________________________________________________________________________________________________________________________________
Сечение эффективного проводника(окончательно):
qel =
1.7823
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Принимаем обмоточный провод марки ПЭТВ
тогда
del =
1.5000
мм
_______________________________________________________________________________________________________________________________________________________________________
qesr =
3.5647
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.9
Плотность тока в обмотке статора (окончательно):
J11 =
5.9872
А/мм^2
_______________________________________________________________________________________________________________________________________________________________________
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
3 Расчет размеров зубцовой зоны статора и воздушного зазора:
=======================================================================================================================================================================
3.1 Принимаем предварительно по таблице:
допустимая индукция в зубцах статора
Bz1 =
1.9000
Тл
_______________________________________________________________________________________________________________________________________________________________________
допустимая индукция в ярме статора
Ba =
1.6000
Тл
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент заполнения стали магнитопроводов
kc =
0.9700
_______________________________________________________________________________________________________________________________________________________________________
Ширина зубца статора:
bz1 =
4.8151
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма статора:
ha =
21.8411
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
3.2
Ширина шлица:
bsh =
3.7000
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота шлица:
hsh =
1
мм
_______________________________________________________________________________________________________________________________________________________________________
Угол наклона грани клиновой части:
beta1 =
45
_______________________________________________________________________________________________________________________________________________________________________
Размеры паза в штампе:
hp =
28.7639
мм
_______________________________________________________________________________________________________________________________________________________________________
b1 =
6.1928
мм
_______________________________________________________________________________________________________________________________________________________________________
b2 =
8.5069
мм
_______________________________________________________________________________________________________________________________________________________________________
hpk =
26.5175
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
3.3
Размеры паза в свету с учетом припуска на сборку:
bb1 =
5.9928
мм
_______________________________________________________________________________________________________________________________________________________________________
bb2 =
8.3069
мм
_______________________________________________________________________________________________________________________________________________________________________
hhpk =
26.3175
мм
_______________________________________________________________________________________________________________________________________________________________________
Односторонняя толщина изоляции в пазу:
biz =
0.4000
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения корпусной изоляции в пазу:
Siz =
28.8910
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения прокладок:
Spr =
8.9762
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения паза для размещения проводников обмотки:
Ssp =
150.2981
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
3.4
Среднее значение диаметра изолированного провода
мм
diz =
1.5850
Коэффициент заполнения паза:
Kz =
0.5683
_______________________________________________________________________________________________________________________________________________________________________
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
4 Расчет ротора:
=======================================================================================================================================================================
4.1 Воздушный зазор:
sig =
0.7725
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.2 Число пазов ротора:
Z2 =
58
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.3 Внешний диаметр ротора:
D2 =
246.2450
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.4 Длина магнитопровода ротора:
l2 =
130
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.5 Зубцовое деление ротора:
tZ2 =
13.3380
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.6
Коэффициент:
kB1 =
0.2300
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр ротора равен диаметру вала, т.к. сердечник ротора непосредственно насаживается на вал:
Dj =
80
мм
_______________________________________________________________________________________________________________________________________________________________________
Диаметр вала:
DB =
80
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.7
Коэффициент учитывающий влияние тока намагничивания на отношение I1/I2:
kj =
0.8936
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент приведения токов:
vi =
19.2041
_______________________________________________________________________________________________________________________________________________________________________
Ток в обмотке ротора:
I2 =
366.2572
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.8
Плотность тока в стержне литой клетки:
J2 =
2500000
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения стержня (предварительно):
qp =
146.5029
мм^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
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 =
1.9000
Тл
_______________________________________________________________________________________________________________________________________________________________________
Допустимая ширина зубца:
bz2 =
5.9670
мм
_______________________________________________________________________________________________________________________________________________________________________
Размеры паза:
b11 =
6.8895
мм
_______________________________________________________________________________________________________________________________________________________________________
b22 =
4.2676
мм
_______________________________________________________________________________________________________________________________________________________________________
h11 =
24.2027
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.10 Уточняем ширину зубцов ротора:
Полная высота паза:
hp1 =
30.7812
мм
_______________________________________________________________________________________________________________________________________________________________________
bbz2 =
6.0320
мм
_______________________________________________________________________________________________________________________________________________________________________
bbbz2 =
6.0320
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.11
Площадь поперечного сечения стержня:
qc =
160.8067
мм^2
_______________________________________________________________________________________________________________________________________________________________________
плотность тока в стержне:
J22 =
2.2776e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.12 Короткозамыкающие кольца.
Плотность тока в замыкающих кольцах:
Jkl =
1.9360e+006
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
del =
0.3236
_______________________________________________________________________________________________________________________________________________________________________
Ток в короткозамыкающих кольцах:
Ikl =
1.1319e+003
А
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения кольца:
qkl =
584.6892
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Размеры короткозамыкающих колец:
Высота колец:
hkl =
38.4765
мм
_______________________________________________________________________________________________________________________________________________________________________
Ширина колец:
bkl =
15.1960
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения колец:
qkl1 =
584.6892
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Средний диаметр колец:
Dklsr =
207.7685
мм
_______________________________________________________________________________________________________________________________________________________________________
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
5 Расчет магнитной цепи
=======================================================================================================================================================================
5.1
gama1 =
2.3434
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент:
ksig =
1.2011
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение воздушного зазора:
Fsig =
1.2240e+003
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.2
Hz1 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz1 =
28.7639
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны статора:
Fz1 =
119.0825
_______________________________________________________________________________________________________________________________________________________________________
расчетная индукция в зубцах:
Bbz1 =
1.9086
Тл
_______________________________________________________________________________________________________________________________________________________________________
Так как Bbz1 больше 1,8 Тл необходимо учесть ответвление потока в паз и найти действительную индукцию в зубце Bz11:
bpx =
7.3498
мм
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент определяющий отношене площадей поперечных сечений паза и зубца
kpx =
1.5736
_______________________________________________________________________________________________________________________________________________________________________
Принимаем,Bz11=1.9 проверяем соотношение Bz11 и Bbz1
Bz11 =
1.9045
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.3
Hz2 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz2 =
30.3545
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны ротора:
Fz2 =
125.6675
А
_______________________________________________________________________________________________________________________________________________________________________
индукция в зубце:
Bz22 =
1.9000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.4 Коэффициент насыщения зубцовой зоны:
kz =
1.2000
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.5
Ha =
750
А/м
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме статора:
La =
171.3000
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма статора:
Fa =
128.4750
А
_______________________________________________________________________________________________________________________________________________________________________
при отсутствии радиальных вентиляционных каналов в статоре:
hha =
21.8411
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме статора:
Baa =
1.6000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.6
Hj =
106.3858
А/м
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма ротора:
hj =
52.3413
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме ротора:
Lj =
69.2937
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма ротора:
Fj =
7.3719
А
_______________________________________________________________________________________________________________________________________________________________________
где для четырехполюсных машин при 0.75*(0.5*D2-hp1)<Dj:
Расчетная высота ярма ротора:
hhj =
48.0944
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме ротора:
Bj =
0.7266
x =
0.7266
Bj =
0.7266
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.7 Магнитное напряжение на пазу полюсов:
Fts =
1.6046e+003
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.8 Коэффициент насыщения магнитной цепи:
kmu =
1.3109
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.9 Намагничивающий ток:
Imu =
9.4447
А
_______________________________________________________________________________________________________________________________________________________________________
Относительное значение:
Iimu =
0.4425
_______________________________________________________________________________________________________________________________________________________________________
%0,2 < Iimu < 0,3
***********************************************************************************************************************************************************************
***********************************************************************************************************************************************************************
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 =
120.6694
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина лобовой части катушки всыпной обмотки статора:
ll1 =
188.9372
мм
_______________________________________________________________________________________________________________________________________________________________________
Длинна пазовой части:
lp1 =
130
мм
_______________________________________________________________________________________________________________________________________________________________________