Проверка вар19
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--РАСЧЕТ АСНХРОННОГО ДВИГАТЕЛЯ С КОРОТКОЗАМКНУТЫМ РОТОРОМ--
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--Исходные данные:--
мощность на валу двигателя
P2 =
4000
Вт
_______________________________________________________________________________________________________________________________________________________________________
U1 =
380
В
_______________________________________________________________________________________________________________________________________________________________________
Частота:
f =
50
Гц
_______________________________________________________________________________________________________________________________________________________________________
Число пар полюсов
p =
2
_______________________________________________________________________________________________________________________________________________________________________
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 =
1520
Ha =
750
p1050 =
2.5000
alfa1 =
96
alfav =
21.4000
AJ1 =
177000000
kE =
0.9636
sig =
0.4340
Bsig =
0.8593
A =
24.4000
n =
0.8300
cosfi =
0.8350
kD =
0.6800
Ba =
1.6000
Bz1 =
1.9000
Bz2 =
1.8000
Z2 =
26
Kvil =
0.4000
Kl =
1.3000
K =
0.2000
bsh =
3.5000
bsh1 =
1
hsh1 =
0.5000
hhsh1 =
0.3000
beta02 =
0.3710
kp1 =
0.9600
del =
0.6300
diz =
0.6900
Hj =
282.4239
kkck =
1.4611
fiss1 =
0.6253
fiss2 =
0.3942
fiss3 =
0.1794
fiss4 =
0.0796
fiss5 =
0.0563
fisskr =
0.0901
fifiss1 =
0.8049
fifiss2 =
0.8519
fifiss3 =
0.9212
fifiss4 =
0.9668
fifiss5 =
0.9668
fifisskr =
0.9633
ksigss1 =
0.6563
ksigss2 =
0.6899
ksigss3 =
0.7495
ksigss4 =
0.8946
ksigss5 =
0.9388
ksigsskr =
0.8910
lamlamekv =
1.0674
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1 Выбор главных размеров:
=======================================================================================================================================================================
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 =
0.6800
_______________________________________________________________________________________________________________________________________________________________________
Внутренний диаметр статора:
D1 =
114.2400
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.3
Полюсное деление:
tau =
89.7239
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.4
Отношение ЭДС обмотки статора к номинальному напряжению
kE =
0.9636
_______________________________________________________________________________________________________________________________________________________________________
КПД
n =
0.8300
_______________________________________________________________________________________________________________________________________________________________________
Косинус фи
cosfi =
0.8350
_______________________________________________________________________________________________________________________________________________________________________
Расчетная мощность:
Pp =
5.5615e+003
ВА
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
1.5 Электромагнитные нагрузки(предварительно):
A =
24.4000
А/м
_______________________________________________________________________________________________________________________________________________________________________
Bsig =
0.8593
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
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 =
157.0796
рад/с
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Расчетная длина магнитопровода:
lsig =
130
мм
_______________________________________________________________________________________________________________________________________________________________________
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1.8
Коэффициент длины:
lam =
1.4489
_______________________________________________________________________________________________________________________________________________________________________
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2 Определение Z1*v1 и площади поперечного сечения провода обмотки статора:
=======================================================================================================================================================================
2.1
Число пазов статора:
Z1 =
36
_______________________________________________________________________________________________________________________________________________________________________
тогда
q1 =
3
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
2.2
Зубцовое деление статора:
tZ1 =
9.9693
мм
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2.3
Номинальный ток обмотки статора
I1nom =
5.0628
А
_______________________________________________________________________________________________________________________________________________________________________
Число эффективных проводников в пазу(предварительно):
up =
48.0468
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=======================================================================================================================================================================
2.4
Число четных проводников для двухслойной обмотки:
up1 =
48
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2.5
Окончательные значения число витков в фазе:
v1 =
288
_______________________________________________________________________________________________________________________________________________________________________
линейная нагрузка:
A1 =
24.3762
А/м
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Коэффициент распределения:
kp1 =
0.9600
_______________________________________________________________________________________________________________________________________________________________________
Расчетный шаг катушки:
yras =
8
_______________________________________________________________________________________________________________________________________________________________________
Полюснуе деление:
tau1 =
9
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Укорочение шага обмотки:
beta =
0.8889
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Коэффициент укорочения:
ky =
0.9848
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Обмоточный коэффициент:
kob11 =
0.9454
_______________________________________________________________________________________________________________________________________________________________________
магнитный поток:
F =
0.0061
Вб
_______________________________________________________________________________________________________________________________________________________________________
индукция в воздушном зазоре:
Bsig1 =
0.8158
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 =
7.2612e+006
А/м^2
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=======================================================================================================================================================================
2.7
Площадь поперечного сечения эффективного проводника(предварительно):
qef =
0.6972
мм^2
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=======================================================================================================================================================================
2.8
Число элементарных проводников:
nel =
2
_______________________________________________________________________________________________________________________________________________________________________
Сечение эффективного проводника(окончательно):
qel =
0.3486
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Принимаем обмоточный провод марки ПЭТВ
тогда
del =
0.6300
мм
_______________________________________________________________________________________________________________________________________________________________________
qesr =
0.6972
мм^2
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2.9
Плотность тока в обмотке статора (окончательно):
J11 =
7.2612
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 =
4.4129
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма статора:
ha =
15.0123
мм
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=======================================================================================================================================================================
3.2
Ширина шлица:
bsh =
3.5000
мм
_______________________________________________________________________________________________________________________________________________________________________
Высота шлица:
hsh =
1
мм
_______________________________________________________________________________________________________________________________________________________________________
Угол наклона грани клиновой части:
beta1 =
45
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Размеры паза в штампе:
hp =
11.8677
мм
_______________________________________________________________________________________________________________________________________________________________________
b1 =
5.9443
мм
_______________________________________________________________________________________________________________________________________________________________________
b2 =
7.6278
мм
_______________________________________________________________________________________________________________________________________________________________________
hpk =
9.6456
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
3.3
Размеры паза в свету с учетом припуска на сборку:
bb1 =
5.7443
мм
_______________________________________________________________________________________________________________________________________________________________________
bb2 =
7.4278
мм
_______________________________________________________________________________________________________________________________________________________________________
hhpk =
9.4456
мм
_______________________________________________________________________________________________________________________________________________________________________
Односторонняя толщина изоляции в пазу:
biz =
0.2500
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения корпусной изоляции в пазу:
Siz =
9.3269
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения прокладок:
Spr =
8.4010
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения паза для размещения проводников обмотки:
Ssp =
44.4808
мм^2
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=======================================================================================================================================================================
3.4
Среднее значение диаметра изолированного провода
мм
diz =
0.6900
Коэффициент заполнения паза:
Kz =
1.0275
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4 Расчет ротора:
=======================================================================================================================================================================
4.1 Воздушный зазор:
sig =
0.4340
мм
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4.2 Число пазов ротора:
Z2 =
26
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=======================================================================================================================================================================
4.3 Внешний диаметр ротора:
D2 =
113.3720
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.4 Длина магнитопровода ротора:
l2 =
130
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.5 Зубцовое деление ротора:
tZ2 =
13.6988
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
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 =
0.8680
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент приведения токов:
vi =
60.4800
_______________________________________________________________________________________________________________________________________________________________________
Ток в обмотке ротора:
I2 =
265.7799
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.8
Плотность тока в стержне литой клетки:
J2 =
2500000
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения стержня (предварительно):
qp =
106.3119
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 =
1.8000
Тл
_______________________________________________________________________________________________________________________________________________________________________
Допустимая ширина зубца:
bz2 =
6.7422
мм
_______________________________________________________________________________________________________________________________________________________________________
Размеры паза:
b11 =
6.0342
мм
_______________________________________________________________________________________________________________________________________________________________________
b22 =
0.0000 + 2.6028i
мм
_______________________________________________________________________________________________________________________________________________________________________
h11 =
24.9696 -10.7707i
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.10 Уточняем ширину зубцов ротора:
Полная высота паза:
hp1 =
28.7867 - 9.4692i
мм
_______________________________________________________________________________________________________________________________________________________________________
bbz2 =
6.8872
мм
_______________________________________________________________________________________________________________________________________________________________________
bbbz2 =
6.8872
мм
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.11
Площадь поперечного сечения стержня:
qc =
1.0099e+002 +3.2581e-016i
мм^2
_______________________________________________________________________________________________________________________________________________________________________
плотность тока в стержне:
J22 =
2.6317e+006 -8.4903e-012i
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
4.12 Короткозамыкающие кольца.
Плотность тока в замыкающих кольцах:
Jkl =
2.2370e+006 -7.2168e-012i
А/м^2
_______________________________________________________________________________________________________________________________________________________________________
del =
0.4786
_______________________________________________________________________________________________________________________________________________________________________
Ток в короткозамыкающих кольцах:
Ikl =
555.2914
А
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения кольца:
qkl =
2.4823e+002 +8.0084e-016i
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Размеры короткозамыкающих колец:
Высота колец:
hkl =
35.9834 -11.8365i
мм
_______________________________________________________________________________________________________________________________________________________________________
Ширина колец:
bkl =
6.2250 + 2.0477i
мм
_______________________________________________________________________________________________________________________________________________________________________
Площадь поперечного сечения колец:
qkl1 =
2.4823e+002 -1.4211e-014i
мм^2
_______________________________________________________________________________________________________________________________________________________________________
Средний диаметр колец:
Dklsr =
77.3886 +11.8365i
мм
_______________________________________________________________________________________________________________________________________________________________________
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5 Расчет магнитной цепи
=======================================================================================================================================================================
5.1
gama1 =
4.9781
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент:
ksig =
1.2767
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение воздушного зазора:
Fsig =
761.8178
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.2
Hz1 =
2070
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz1 =
11.8677
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны статора:
Fz1 =
49.1323
_______________________________________________________________________________________________________________________________________________________________________
расчетная индукция в зубцах:
Bbz1 =
2.0014
Тл
_______________________________________________________________________________________________________________________________________________________________________
Так как Bbz1 больше 1,8 Тл необходимо учесть ответвление потока в паз и найти действительную индукцию в зубце Bz11:
bpx =
6.7860
мм
_______________________________________________________________________________________________________________________________________________________________________
Коэффициент определяющий отношене площадей поперечных сечений паза и зубца
kpx =
1.5853
_______________________________________________________________________________________________________________________________________________________________________
Принимаем,Bz11=1.9 проверяем соотношение Bz11 и Bbz1
Bz11 =
1.9973
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.3
Hz2 =
1520
А/м
_______________________________________________________________________________________________________________________________________________________________________
hz2 =
28.7867 - 9.7295i
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение зубцовой зоны ротора:
Fz2 =
87.5116 -29.5777i
А
_______________________________________________________________________________________________________________________________________________________________________
индукция в зубце:
Bz22 =
1.8000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.4 Коэффициент насыщения зубцовой зоны:
kz =
1.1794 - 0.0388i
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.5
Ha =
750
А/м
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме статора:
La =
120.1563
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма статора:
Fa =
90.1172
А
_______________________________________________________________________________________________________________________________________________________________________
при отсутствии радиальных вентиляционных каналов в статоре:
hha =
15.0123
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме статора:
Baa =
1.6000
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.6
Hj =
282.4239
А/м
_______________________________________________________________________________________________________________________________________________________________________
Высота ярма ротора:
hj =
7.8993 + 9.4692i
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина средней магнитной силовой линии в ярме ротора:
Lj =
37.6200 + 7.4371i
мм
_______________________________________________________________________________________________________________________________________________________________________
Магнитное напряжение ярма ротора:
Fj =
10.6248 + 2.1004i
А
_______________________________________________________________________________________________________________________________________________________________________
где для четырехполюсных машин при 0.75*(0.5*D2-hp1)<Dj:
Расчетная высота ярма ротора:
hhj =
17.4371 + 5.9183i
мм
_______________________________________________________________________________________________________________________________________________________________________
Индукция в ярме ротора:
Bj =
1.2352 - 0.4192i
x =
1.2352
Bj =
1.2352
Тл
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.7 Магнитное напряжение на пазу полюсов:
Fts =
9.9920e+002 -2.7477e+001i
А
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.8 Коэффициент насыщения магнитной цепи:
kmu =
1.3116 - 0.0361i
_______________________________________________________________________________________________________________________________________________________________________
=======================================================================================================================================================================
5.9 Намагничивающий ток:
Imu =
2.7183 - 0.0748i
А
_______________________________________________________________________________________________________________________________________________________________________
Относительное значение:
Iimu =
0.5369 - 0.0148i
_______________________________________________________________________________________________________________________________________________________________________
%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 =
88.0398
мм
_______________________________________________________________________________________________________________________________________________________________________
Длина лобовой части катушки всыпной обмотки статора:
ll1 =
134.4517
мм
_______________________________________________________________________________________________________________________________________________________________________