Контрольная работа Надежность ЭС-42
.pdfКонтрольная работа по дисциплине НАДЕЖНОСТЬ ЭЛЕКТРОСНАБЖЕНИЯ
Задание 1. Выбор закона распределения наработок
С помощью критерия согласия 2-Пирсона сделать вывод о принадлежности статистической информации о наработках элементов нормальному закону распределения.
Исходная информация представлена в таблице
Ва- |
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Исходные данные |
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ри- |
Интер- |
Довери |
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Статистический ряд ti 103, ч |
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ант |
вал на- |
тель- |
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блюде- |
ная |
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ния |
вероят |
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Т 103, ч |
ность |
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21 |
[0..20] |
0,9 |
13,42; 12,27; 12,91; 14,08; 14,91; 11,89; 11,01; 14,13; 14,48; 14,10; |
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12,15; 9,02; 13,48; 16,59; 19,43; 15,55; 15,00; 15,38; 14,32; 11,56 |
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22 |
[0..20] |
0,95 |
12,17; 10,55; 13,56; 14,55; 16,52; 12,77; 11,12; 14,98; 9,69; 10,87; |
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9,18; 14,17; 14,98; 10,97; 13,29; 15,94; 14,69; 13,16; 14,18; 13,48 |
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23 |
[0..20] |
0,99 |
10,15; 15,52; 16,32; 14,75; 15,05; 15,18; 15,02; 12,63; 15,20; 15,48; |
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18,13; 8,92; 9,40; 15,96; 17,39; 14,94; 10,40; 12,28; 17,04; 17,69 |
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24 |
[0..20] |
0,999 |
16,12; 9,58; 15,35; 8,17; 14,67; 13,63; 16,27; 13,61; 10,89; 13,09; |
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13,63; 9,50; 14,92; 11,35; 17,34; 15,45; 12,50; 10,65; 8,95; 16,68 |
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25 |
[0..25] |
0,9 |
17,95; 14,80; 12,23; 15,42; 14,16; 14,82; 19,17; 13,39; 14,35; 10,47; |
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11,83; 17,08; 12,35; 8,46; 15,68; 15,72; 15,55; 16,48; 11,99; 15,07 |
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26 |
[0..25] |
0,95 |
13,24; 15,31; 11,37; 14,80; 13,37; 19,82; 13,64; 15,26; 15,37; 12,49; |
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17,55; 15,22; 17,08; 11,96; 11,57; 15,62; 16,05; 15,85; 16,94; 14,21 |
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27 |
[0..20] |
0,99 |
13,67; 10,85; 14,27; 15,69; 17,76; 11,81; 15,44; 16,23; 17,29; 13,60; |
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10,75; 12,74; 11,62; 13,94; 9,07; 12,02; 12,22; 16,30; 16,93; 15,57 |
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28 |
[0..20] |
0,999 |
12,02; 12,25; 8,86; 17,97; 8,46; 16,48; 10,56; 14,15; 13,30; 16,36; |
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18,19; 13,23; 17,98; 9,70; 9,95; 15,95; 15,63; 14,45; 9,06; 16,31 |
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29 |
[0..20] |
0,9 |
17,66; 14,45; 13,48; 10,87; 13,36; 17,10; 14,26; 13,96; 15,69; 11,69; |
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12,83; 10,26; 9,22; 12,93; 16,62; 12,75; 16,66; 11,47; 13,67; 11,77 |
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30 |
[0..25] |
0,95 |
15,35; 15,70; 12,37; 11,42; 5,32; 9,57; 16,60; 20,04; 15,23; 14,11; |
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15,60; 9,02; 17,17; 14,54; 11,48; 14,01; 14,19; 14,30; 16,86; 14,37 |
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31 |
[0..20] |
0,99 |
14,35; |
18,33; |
7,18; |
15,18; |
9,69; |
14,67; |
18,69; |
8,90; |
14,33; |
11,67; |
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|
16,49; 14,94; 10,38; 15,83; 16,40; 11,15; 12,24; 18,20; 12,95; 16,67 |
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32 |
[0..25] |
0,999 |
18,49; 16,81; 18,21; 12,65; 16,67; 18,55; 17,47; 19,44; 8,89; 16,40; |
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14,56; 14,71; 17,49; 14,03; 15,86; 11,35; 14,53; 15,72; 14,12; 12,64 |
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33 |
[0..20] |
0,9 |
16,98; 18,75; 15,40; 10,44; 14,08; 13,69; 6,39; 13,14; 15,89; 16,11; |
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7,94; 13,18; 16,45; 12,10; 16,05; 10,89; 16,84; 18,22; 16,44; 13,46 |
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34 |
[0..25] |
0,95 |
13,86; 12,08; 12,68; 15,86; 14,24; 14,45; 16,59; 15,74; 14,68; 16,95; |
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14,19; 10,13; 13,72; 19,62; 13,31; 10,47; 14,57; 12,66; 16,53; 17,60 |
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35 |
[0..20] |
0,99 |
13,73; 16,96; 12,98; 12,48; 9,65; 12,63; 18,24; 14,84; 12,04; 12,18; |
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12,57; 16,61; 14,04; 14,56; 14,49; 13,66; 9,07; 18,09; 9,24; 6,10 |
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36 |
[0..25] |
0,999 |
12,65; 16,17; 13,90; 13,21; 13,53; 15,16; 15,19; 16,34; 11,73; 11,15; |
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16,47; 13,06; 11,89; 10,55; 10,89; 12,85; 15,70; 10,70; 18,57; 18,46 |
1
37 |
[0..20] |
0,9 |
17,73; 14,31; 12,72; 17,15; 14,06; 14,84; 17,19; 8,67; 17,47; 12,46; |
|
|
|
8,83; 13,19; 11,23; 11,37; 11,12; 15,84; 11,76; 12,28; 14,43; 9,88 |
38 |
[0..25] |
0,95 |
16,66; 6,06; 12,83; 12,19; 16,13; 15,22; 15,78; 12,48; 19,56; 12,57; |
|
|
|
14,01; 11,91; 17,82; 11,13; 9,70; 13,06; 20,17; 13,19; 11,74; 14,03 |
39 |
[0..25] |
0,99 |
12,11; 15,05; 15,23; 14,90; 10,79; 13,71; 11,82; 17,60; 18,17; 16,65; |
|
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|
13,59; 15,92; 11,34; 18,20; 16,31; 12,84; 15,89; 13,78; 15,81; 11,91 |
40 |
[0..20] |
0,999 |
14,73; 11,95; 9,98; 11,94; 12,54; 16,27; 10,78; 15,87; 11,24; 17,16; |
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14,25; 13,56; 10,39; 10,57; 13,33; 17,81; 14,17; 10,96; 16,67; 13,68 |
Задание 2. Расчет показателей безотказности невосстанавливаемых элементов ЭУ
Определить количественные показатели безотказности выключателя типа ВМП-10. Наблюдения проводились на 4-х районных подстанциях в течение интервала времени Т. Выборка составила N выключателей. Результаты наблюдений сведены в таблицу.
Вари- |
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Исходные данные |
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ант |
Время наблю- |
Районная |
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Номер выключа- |
Наработка до отказа, ч |
|
дения Т, ч |
подстанция |
|
теля |
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1 |
380 |
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1 |
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2 |
520 |
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3 |
300 |
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4 |
340 |
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5 |
3360 |
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1 |
1900 |
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2 |
1640 |
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2 |
|
3 |
1550 |
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4 |
2570 |
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||
21, |
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5 |
2200 |
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6 |
1920 |
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22, |
4000 |
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1 |
2570 |
23, |
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2 |
2540 |
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24 |
|
3 |
|
3 |
1660 |
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4 |
720 |
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||
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5 |
2700 |
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6 |
3180 |
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1 |
1250 |
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|
|
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2 |
1130 |
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|
4 |
|
3 |
830 |
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|
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4 |
660 |
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|
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5 |
2400 |
|
|
|
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6 |
2020 |
|
|
|
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7 |
2220 |
2
Вари- |
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|
Исходные данные |
|
ант |
Т, ч |
РП |
Номер выключателя |
Наработка до отказа, ч |
|
|
|
1 |
160 |
|
|
1 |
2 |
440 |
|
|
3 |
200 |
|
|
|
|
4 |
280 |
|
|
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5 |
6120 |
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|
|
1 |
3200 |
|
|
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2 |
2680 |
|
|
2 |
3 |
1300 |
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|
4 |
4540 |
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||
25, |
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|
5 |
3800 |
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6 |
3280 |
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26, |
7000 |
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1 |
4540 |
27, |
|
2 |
4480 |
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28 |
|
3 |
3 |
2720 |
|
|
4 |
840 |
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|
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||
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5 |
4800 |
|
|
|
6 |
5760 |
|
|
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1 |
1900 |
|
|
|
2 |
1660 |
|
|
4 |
3 |
1060 |
|
|
4 |
720 |
|
|
|
|
5 |
4200 |
|
|
|
6 |
3440 |
|
|
|
7 |
3840 |
|
|
|
1 |
180 |
|
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1 |
2 |
320 |
|
|
3 |
200 |
|
|
|
|
4 |
240 |
|
|
|
5 |
3160 |
|
|
|
1 |
1700 |
|
|
|
2 |
1440 |
|
|
2 |
3 |
1350 |
|
|
4 |
2370 |
|
|
|
|
||
29, |
|
|
5 |
2000 |
|
|
6 |
1720 |
|
30, |
4000 |
|
1 |
2370 |
31, |
|
2 |
2340 |
|
|
|
|||
32 |
|
3 |
3 |
1460 |
|
|
4 |
520 |
|
|
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||
|
|
|
5 |
2500 |
|
|
|
6 |
2980 |
|
|
|
1 |
1050 |
|
|
|
2 |
930 |
|
|
4 |
3 |
630 |
|
|
4 |
460 |
|
|
|
|
5 |
2200 |
|
|
|
6 |
1820 |
|
|
|
7 |
2020 |
3
Вари- |
|
|
Исходные данные |
|
ант |
Т, ч |
РП |
Номер выключателя |
Наработка до отказа, ч |
|
|
|
1 |
40 |
|
|
1 |
2 |
110 |
|
|
3 |
50 |
|
|
|
|
4 |
70 |
|
|
|
5 |
1530 |
|
|
|
1 |
800 |
|
|
|
2 |
670 |
|
|
2 |
3 |
625 |
|
|
4 |
1135 |
|
|
|
|
||
33, |
|
|
5 |
950 |
|
|
6 |
810 |
|
34, |
1800 |
|
1 |
1135 |
35, |
|
2 |
1120 |
|
|
|
|||
36 |
|
3 |
3 |
680 |
|
|
4 |
210 |
|
|
|
|
||
|
|
|
5 |
1200 |
|
|
|
6 |
1440 |
|
|
|
1 |
475 |
|
|
|
2 |
415 |
|
|
4 |
3 |
265 |
|
|
4 |
180 |
|
|
|
|
5 |
1050 |
|
|
|
6 |
860 |
|
|
|
7 |
960 |
|
|
|
1 |
80 |
|
|
1 |
2 |
220 |
|
|
3 |
100 |
|
|
|
|
4 |
140 |
|
|
|
5 |
3060 |
|
|
|
1 |
1600 |
|
|
|
2 |
1340 |
|
|
2 |
3 |
1250 |
|
|
4 |
2270 |
|
|
|
|
||
37, |
|
|
5 |
1900 |
|
|
6 |
1620 |
|
38, |
3500 |
|
1 |
2270 |
39, |
|
2 |
2240 |
|
|
|
|||
40 |
|
3 |
3 |
1360 |
|
|
4 |
420 |
|
|
|
|
||
|
|
|
5 |
2400 |
|
|
|
6 |
2880 |
|
|
|
1 |
950 |
|
|
|
2 |
830 |
|
|
4 |
3 |
530 |
|
|
4 |
360 |
|
|
|
|
5 |
2100 |
|
|
|
6 |
1720 |
|
|
|
7 |
1920 |
4
Задание 3. Расчет показателей надежности восстанавливаемых элементов ЭУ
Определить показатели надежности шинного секционного выключателя (ШСВ), применяемого на четырех районных подстанциях. Время наблюдения – Т. Данные об отказах и время восстановления работоспособности ШСВ сведены с таблицу.
Вариант |
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|
|
Исходные данные |
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|
Т, ч |
РП |
Номер |
Время работы ШСВ |
Время восста- |
|
|
|
элемента |
до отказа ti, ч |
новления рабо- |
|
|
|
|
|
тоспособности |
|
|
|
|
|
ШСВ после от- |
|
|
|
|
|
каза tВi, ч |
|
|
|
1 |
780,1200,1900,2000 |
5,5,5,5 |
|
|
1 |
2 |
210,1250,1300,2850 |
15,15,15,15 |
|
|
3 |
640,1620,1750 |
10,10,10 |
|
|
|
|
|||
|
|
|
4 |
1110,2030 |
20,20 |
|
|
|
1 |
670,1450,2930,5500,6700,8250 |
10,10,10,10,10,10 |
21, |
|
2 |
2 |
2400,4750,6200,7250,10120 |
20,20,20,20,20 |
|
3 |
850,3000,6200,7550,9450 |
20,20,20,20,20 |
||
|
|
||||
26, |
11500 |
|
4 |
840,1435,3925,5555,7900 |
10,10,10,10,10 |
31, |
|
1 |
70,1400,4200,5300,8000,11000 |
15,15,15,15,15,15 |
|
|
|
||||
36 |
|
3 |
2 |
110,3500,6000,6500,8900,9600 |
20,20,20,20,20,20 |
|
|
3 |
40,1530,4700,940,8520 |
25,25,25,25,25 |
|
|
|
|
|||
|
|
|
4 |
450,1500,3820,6600,9300 |
5,5,5,5,5 |
|
|
|
1 |
415 |
10 |
|
|
4 |
2 |
475,970 |
15,15 |
|
|
3 |
275,1050 |
25,25 |
|
|
|
|
|||
|
|
|
4 |
170,850 |
20,20 |
|
|
|
1 |
140,2800,8380,10790,16000,22000 |
30,30,30,30,30,30 |
|
|
1 |
2 |
220,6990,11960,13000,17900,19400 |
40,40,40,40,40,40 |
|
|
3 |
80,3060,9400,10880,17300 |
50,50,50,50,50 |
|
|
|
|
|||
|
|
|
4 |
900,3000,7380,13200,18600 |
10,10,10,10,10 |
|
|
|
1 |
830 |
20 |
22, |
|
2 |
2 |
950,1920 |
30,30 |
|
3 |
530,2100 |
50,50 |
||
27, |
|
|
|||
|
|
4 |
360,1720 |
40,40 |
|
32, |
22500 |
|
|||
|
1 |
1350,2400,3600,4000 |
10,10,10,10 |
||
37 |
|
|
|||
|
3 |
2 |
420,2350,2600,5700 |
30,30,30,30 |
|
|
|
||||
|
|
3 |
1780,3240,3500 |
20,20,20 |
|
|
|
|
|||
|
|
|
4 |
2220,4060 |
40,40 |
|
|
|
1 |
1340,2900,5760,11000,12720,16500 |
20,20,20,20,20,20 |
|
|
4 |
2 |
4800,9700,12400,15750,20240 |
40,40,40,40,40 |
|
|
3 |
1700,5680,12400,15750,18900 |
40,40,40,40,40 |
|
|
|
|
|||
|
|
|
4 |
1620,2870,7560,11100,15900 |
20,20,20,20,20 |
5
Вариант |
|
|
|
Исходные данные |
|
Т, ч |
РП |
Элемент |
ti, ч |
tВi, ч |
|
|
|
|
1 |
41 |
1 |
|
|
1 |
2 |
47,97 |
1,1 |
|
|
3 |
27,105 |
2,2 |
|
|
|
|
|||
|
|
|
4 |
17,85 |
1,1 |
|
|
|
1 |
67,145,293,550,670,825 |
1,1,1,1,1,1 |
23, |
|
2 |
2 |
240,475,620,725,1012 |
2,2,2,2,2 |
|
3 |
85,300,620,755,945 |
2,2,2,2,2 |
||
|
|
||||
28, |
1200 |
|
4 |
84,143,392,555,790 |
1,1,1,1,1 |
33, |
|
1 |
78,120,190,200 |
1,1,1,1 |
|
|
|
||||
38 |
|
3 |
2 |
21,125,130,285 |
3,3,3,3 |
|
|
3 |
64,162,175 |
4,4,4 |
|
|
|
|
|||
|
|
|
4 |
111,203 |
5,5 |
|
|
|
1 |
7,140,420,530,800,1100 |
2,2,2,2,2,2 |
|
|
4 |
2 |
11,350,600,650,890,960 |
3,3,3,3,3,3 |
|
|
3 |
4,153,470,94,852 |
1,1,1,1,1 |
|
|
|
|
|||
|
|
|
4 |
45,150,382,660,930 |
2,2,2,2,2 |
|
|
|
1 |
1170,1950,3430,6000,7200,8750 |
10,10,10,10,10,10 |
|
|
1 |
2 |
2900,5250,6700,7750,10620 |
15,15,15,15,15 |
|
|
3 |
900,3500,6700,8050,9950 |
20,20,20,20,20 |
|
|
|
|
|||
|
|
|
4 |
1340,1935,4425,6055,8400 |
25,25,25,25,25 |
|
|
|
1 |
570,1900,4700,5800,8500,16000 |
10,10,10,10,10,10 |
24, |
|
2 |
2 |
610,4000,6500,7000,9400,11000 |
11,11,11,11,11,11 |
|
3 |
540,2030,5200,6440,9020 |
12,12,12,12,12 |
||
|
|
||||
29, |
18000 |
|
4 |
950,2000,4320,7100,9800 |
13,13,13,13,13 |
34, |
|
1 |
1280,1700,2400,2500 |
5,5,5,5 |
|
|
|
||||
39 |
|
3 |
2 |
710,1750,1800,3350 |
6,6,6,6 |
|
|
3 |
1140,1720,2350 |
7,7,7 |
|
|
|
|
|||
|
|
|
4 |
1510,2530 |
8,8 |
|
|
|
1 |
915 |
1 |
|
|
4 |
2 |
975,1470 |
3,3 |
|
|
3 |
775,1550 |
5,5 |
|
|
|
|
|||
|
|
|
4 |
670,1350 |
7,7 |
|
|
|
1 |
170,1500,4300,5400,8100,11100 |
13,13,13,13,13,13 |
|
|
1 |
2 |
210,3600,6100,6600,9000,9700 |
17,17,17,17,17,17 |
|
|
3 |
140,1630,4800,5040,8620 |
21,21,21,21,21 |
|
|
|
|
|||
|
|
|
4 |
550,1600,3920,6700,9400 |
3,3,3,3,3 |
|
|
|
1 |
880,1300,2000,2100 |
3,3,3,3 |
25, |
|
2 |
2 |
310,1350,1400,2950 |
12,12,12,12 |
|
3 |
740,1720,1850 |
7,7,7 |
||
|
|
||||
30, |
11500 |
|
4 |
1110,2030 |
16,16 |
35, |
|
1 |
770,1550,3030,5600,6800,8350 |
7,7,7,7,7,7 |
|
|
|
||||
40 |
|
3 |
2 |
2500,4850,6300,7350,10220 |
17,17,17,17,17,17 |
|
|
3 |
950,3100,6300,7650,9550 |
17,17,17,17,17,17 |
|
|
|
|
|||
|
|
|
4 |
940,1535,4025,5655,8000 |
8,8,8,8,8 |
|
|
|
1 |
515 |
5 |
|
|
4 |
2 |
575,1070 |
10,10 |
|
|
3 |
375,1150 |
20,20 |
|
|
|
|
|||
|
|
|
4 |
270,950 |
16,16 |
6