Содержание расчетно-графической работы



1. По данным табл. 1 разложить в тригонометрический ряд Фурье заданную кривую несинусоидального напряжения источника  ЭДС до трех гармонических составляющих.

2. По    полученным   гармоническим   составляющим  построить  кривую

входного несинусоидального напряжения и сравнить её  с  заданной.

3. По данным табл. 2 и 3 рассчитать мгновенные и действующие значения токов в ветвях заданной электрической цепи.

4. Определить мощности P, Q, S и Т, проверить баланс мощностей.

5. По полученным в расчёте гармоническим составляющим построить

кривую входного тока.  

6. Результаты расчетов занести в таблицу ответов в конце задания.

e(t) =

 

i1(t) =

 

i2(t) =

 

i3(t) =

 

i4(t) =

 

i5(t) =

 

i6(t) =

 

i7(t) =

 

i8(t) =

 

i9(t) =

 

Мощ-

ность

Р, Вт Q, вар S, В·А Т, В·А
       

                              

                            Шифр задания состоит из двух чисел:

 

 

первое —    соответствует номеру строки из табл. 1;

второе —         соответствует номеру строки из табл. 2 и 3.

 

                                                                       

                          Таблица 1            

№ п.п. А, В В, В С, В D, В
1 500 –700 550  500
2 500 300 550 – 500
3 500 – 700  50 – 500
4 500 – 700 – 450 – 500
5 – 500 – 700 550   –500
6 500 – 700 550 0
7 500 – 200 550 – 500
8 400 – 400 – 700 500
9 400 – 400 0 500
10 400 – 400 700 500
11 400 – 50 – 700 500
12 400    300 – 700 500
13 400 300    700 500
14 400 650 – 700 500
15 400 650 – 350 500
16 400 650 0  500
17 400 – 400 – 700  150
18 400 – 400 – 700 – 550
19 –300 – 400 – 700 500
20 400 – 400 – 350 500
21 400 – 400  0 500
22 400 – 400    700 500
23 400 – 50   – 350 500
24 400   300 – 700 500
25 400   650  – 700 500


et), В

               А

650         

 

                         

 

 

                                                                   

400                                                             С

                                                                                   

 

ωt, град  
315   
135   
                                                                                                              

 

    0      45                                            225                                   360

                                                                   

                                                                                           

 

 

─ 500          

                                                                                          D

  

 

 

Т   
─750                                     B                                 

 

№ п.п. R1, Ом R2, Ом R3, Ом R4, Ом R5, Ом R6, Ом R7, Ом R8, Ом R9, Ом
1 0 0 0 0 0 10 10 0 0
2 20 20 20 0 0 20 0 0
3 0 0 0 0 0 0 10 0 0
4 0 0 10 10 10 0 0
5 0 0 10 0 0 0 0 0
6 0 0 0 0 0 20 30 30 0
7 0 0 10 20 10 0 20 0 0
8 10 0 5 10 10 0 0
9 0 0 0 0 0 10 0 0 0
10 10 10 0 0 0 10 10
11 10 10 10 10 0 0 0
12 0 0 10 0 10 0 10 10 10
13 10 30 0 0 0 0 0 0 0
14 20 0 0 0 0 0 0 0
15 0 0 0 10 10 0 0 10
16 0 0 10 0 10 10 10 0
17 0 0 10 0 0 10 5 0
18 0 0 0 0 10 0 10
19 10 0 10 10 20 0 5 5
20 10 10 20 0 0 0 0 0
21 0 0 30 0 10 10 0 0
22 30 90 10 0 0 0 0
23 0 10 10 10 0 10 0 0
24 10 10 0 0 0 10 0 0
25 0 10 10 10 0 0 0

                                                                                                          Таблица 2

 

                                                                                             

Таблица 3                                                                                               

№ п.п. Х1, Ом Х2, Ом Х3, Ом Х4, Ом Х5, Ом Х6, Ом Х7, Ом Х8, Ом Х9, Ом
1 0 0 0 0 0 0 10 – 20 10
2 10 – 40 10 0 0 0 – 20 0
3 0 0 0 0 0 – 30 – 30 10 – 30
4 10 – 90 10 – 10 0 5 – 20
5 0 0 0 – 10 – 10 3 – 27 2
6 0 0 0 0 0 20 30 – 30 – 90
7 0 0  0 0 10 0  0 10 – 40
8 0 10 – 5 10 – 90 – 50 0
9 – 30 30 0 0 0  0 0 0 – 10
10 – 40  0 20 – 90 10 10 10
11 10 – 10 10 10 – 30 10 – 40
12 0 0 0 – 30 5 0 – 20 5 0
13 – 30  10 0 0 0 10 10 – 5 0
14 0 0 10 10 – 20 – 20 0 20
15 10 10 – 5 10 – 20 10 0 – 30
16 – 90 10 0 0 – 10 10 10 0
17 0 0 0 – 40 10 20 – 5 – 10
18 10 – 90 – 20 5 0 10 – 10
19 20 – 80 0 0 – 20 0 – 5 5
20 0 0 20 10 – 5 0 10 0
21 – 20 – 60 0 0 10 – 90 – 60 15
22 – 90 30 – 60 – 90 7,5 30 – 60
23 0 10 – 10 10 – 10 0 10 0
24 – 60 15 – 60 – 80 0 0 20 0
25 0 0 10 – 90 20 – 40 10

        

         

Общий вид схемы замещения электрической цепи

Х3
R3
                                   

                                                  

                                                                       

                                      

                                        

                             

    Х1         Х2     R4              R5              R7           R8

                 

                    

                                                                                                                     

     R1           R2                                                                                                                            

                                                                                                X7           X8

                            X4                  X5                                                                                          

                                                                   

                                                             X6

              e (t)                          

                                                             

                                     R6

                                                                                   

                                                                                                      

                                         

                                                                              

                                                                                X9

                                                                 

                                                                  R9                        

                                                                   

                                                                                                

                                                                                                    

                                                                                 

                                                                                                                            

                                                                                     

                                        

 

           

Домашнее задание № 5 по теме:

Расчет переходных процессов в линейных

Электрических  цепях»

Содержание расчетно-графической работы

 

1. Рассчитать все переходные токи цепи и переходные  напряжения   

на конденсаторе и на катушке индуктивности.

2. Операторным    методом   определить   ток   переходного процесса

в ветви с катушкой индуктивности.

3. Построить временные зависимости:

           а) входного тока электрической цепи;

           б) напряжения на конденсаторе.

4. Результаты расчетов занести в таблицу ответов на титульном листе.

Таблица ответов

Функция

                  Вид решения

Значения функции

 при t = 0  при t = 0 при t = ∞
i1 =        
i2 =        
i3 =        
uL =        
uC =        

 

                           Шифр задания состоит из двух чисел:

                        первое —     соответствует варианту схемы;

           второе —     соответствует номеру строки из таблицы.

 

       

 Варианты схем

  

№ 1

 

 


                                                     

 

                        

                                                                                               L

              Е                              R2                    

 

                                 R1   С        R3

 

№ 2

 

 


                                                   С

                        

            Е                                                                        L

                                                   R2

                                 R1                 R3

 

№ 3

 

 


                                                                                     С

    E                      R2

          

                                                                                  R3

L
                    R1

 

L
№ 4

                                                       R3

                                     

                                 

                                                  

                                C   R2             E

                                

                                          R1

 

№ 5

 

 

 

 


                         

                                                         L

               E                                                   C

                                                        R2            R3

                                 R1

 

 

№ 6

 

L


                                                                            

                                                               C

                       E                          R2

                                                                                   R3

                                    R1

 

№ 7

L
                                           

                                

                                                          R2                        C

      E                                

                                                                   R3         R4

                                          R1

№ 8

 

 

L
                                          

                                 

                                         

                                                        

                                                          R2                           C

            E

                                                                   R3         R4

                                       R1

№ 9

 

R2
                           

                                                                           C

                                                             R3            R4

                                                                                 

                        

L
                         R1                             E E

                                                                                                 

 

 

№ 10

                                                                              

                                       R1                                    C

                                                                                  

                                                  

                                                          R2                     R3

                           

                                                                               

L
                        R4                         E            

 

№ 11

 

L


                                                      

                                                                                 

                                                   R2

          E

                                                                                          C                                                                                                                              

R1   
                                   

                                

 

№ 12

 

                                      L


          E                                       

                                                  

                                                    R2                            C

                                                            

                                 R1                                        

                                

 

№ 13

L


                                                                                  C

     
 


               E                                                  R2                 


                                                                                 


                                   R1           

     
 


№ 14

     
 


                                  

                                               L

                                                                                        C


               E

                                                       R1

     
 


                                                                                         R2


№ 15


                                                                  L                     C

               E

                                                              

            

                                                                 R2                   R3

                                                              

R1   
                           

                                                                                        

 

№ 16

 

                   

                                                                                       C

                                                                   L

              E

                                                      R2                  R3

                                    R1           

 

 

№ 17

 

                      

                     

                                                         L                   C

             E

                                                      R2                  R3

                                       R1

 

                           

№ 18

                                                                                 C

                                                                              

                                                            R1

                                                                     

L
              R2                                     E                            

                                                        

                                                                                         

 

 

№ 19

            

                                                   L                    C

       E                                                                R3

                                                        R2

                                       R1

 

№ 20


              

                                                      L                    C

      E

                                           R2  

                            R1

№ 21

                        


L
                                                                                C

      E                                              

                                        R2

                              R1

       

 

                                                                                                                                                                                            

              № 22

                                                  

                                             L

                                                                                                     C

                     E                                      R2

                                                                                        

                                                R1                        R3

               № 23

                         

                                                                                                 C

                     E                                          L

                                                               R2

                                            R1

 

             

         № 24                        

                                         

                                                L                               

                    E                                                                       C

                                                                            R2

                                           R1                                                                 

                                                                                                                       

                                                                                                                    

№ п.п. R1, Ом R2, Ом R3, Ом R4, Ом C, мкФ
1 25 25 25 25 100
2 10 10 10 10 50
3 20 20 20 20 80
4 20 10 10 20 200
5 25 20 20 25 170
6 50 50 50 50 180
7 25 25 50 50 120
8 50 25 50 25 110
9 25 50 25 50 150
10 10 20 10 20 40
11 40 10 40 20 70
12 20 40 10 40 60
13 20 30 10 40 130
14 30 40 20 50 140
15 40 50 30 60 250
16 50 60 40 70 240
17 40 50 50 80 230
18 30 70 30 100 220
19 20 10 40 10 280
20 10 20 60 80 125
21 50 100 100 50 160
22 5 5 5 5 260
23 5 15 5 15 270
24 15 5 15 5 210
25 10 25 5 20 190

           Для  всех  вариантов Е = 100 В; L = 125 мГ 

Домашнее задание № 6 по теме:

«Расчет разветвленной магнитной цепи постоянного тока»

Содержание расчетно-графической работы

 

1. Для заданной магнитной цепи графически  определить:

а) магнитные потоки и индукцию во всех участках;

б) напряженность магнитного поля на всех участках;

в) падение магнитного напряжения на каждом из участков, включая воздушные зазоры.

2. Проверить достоверность расчета при помощи законов Кирхгофа.

3. Проверить баланс энергии магнитного поля.

4. Рассчитать тяговую силу электромагнита.

5. Результаты расчетов занести в таблицу ответов на титульном листе.

Толщина сердечников электромагнита во всех вариантах h = 5 см.  

Шифр задания состоит из трех чисел:

     первое       соответствует варианту магнитной цепи;

     второе   —      соответствует номеру строки из табл. 1;

     третье       соответствует номеру строки из табл. 2.

        Основные кривые намагничивания материалов сердечника

H,А/м 0 40 80 120 160  200  600 1000 1400 1800 2200

6000

8000

1200

2000

Значения магнитной индукции В, Тл

Сталь Э11 0 0,12 0,4 0,63 0,8 0,95 1,29 1,44 1,52 1,58 1,6 1,62

1,7

1,84

1,98

 Сталь Э31 0 0,2 0,52 0,74 0,88 0,98 1,24 1,38 1,46 1,51 1,52 1,6

1,67

1,76

1,9

 Сталь Э42 0 0,31 0,6 0,79 0,93 1,04 1,2 1,32 1,4 1,48 1,5 1,54

1,61

1,72

1,85

 Сталь Э45 0 0,44 0,65 0,83 0,95 1,05 1,26 1,38 1,4 1,42 1,42 1,5

1,58

1,68

1,81

                                   

                                         

 

Таблица ответов

Поток, Вб

Тяговая

сила F, Н

Энергия

Wм, Дж

Погрешность

расчёта, %

Ф1 Ф2 Ф3
           

 

 

                                  

 

 

                        

 

                   Таблица 1                                                                 Таблица 2

№       п.п. а, см в, см с, см δ,  см
  1 65 20  9 0,20
  2 82 30 12 0,15
  3 70 34 10 0,12
  4 50 52  6 0,10
  5 85 42 11 0,15
  6 55 28  8 0,10
  7 68 15  9 0,14
  8 68 40  8 0,20
  9 20 25  3 0,08
 10 35 22  4 0,09
 11 62 16  9 0,18
 12 64 54  8 0,12
 13 38 42  5 0,25
 14 66 18  9 0,20
 15 45 26  6 0,05
 16 35 25  4 0,10
 17 28 35  3 0,12
 18 66 20  9 0,15
 19 88 30 12 0,20
 20 56 50  7 0,30
 21 98 20 14 0,50
 22 70 30  9 0,40
 23 60 45  8 0,35
 24 80 50 10 0,45
 25 60 50  8 0,20

п.п.

Сталь

  F1

  F2

F3

I1, A w1 I2, A w2 I3, A w3
 1  Э11 1 500  1,5 1000 1 1000
 2  Э31 2 500  2,5 1000 2 1000
 3  Э42 3 500  3,5 1000 3 1000
 4  Э45 4 500  4,5 1000 4 1000
 5  Э11 5 500 4 1200 5 1000
 6  Э31 4 500 3 1200 4 1000
 7  Э42 3 500 2 1000 3 1000
 8  Э45 2 500 1 1100 2 1200
 9  Э11 1 500  1,5 1200 1 1100
10  Э31  1,5 500 2 1000 1 1000
11  Э42  2,5 500 3 1150   2 1000
12  Э45  3,5 500 4 1200 3 1150
13  Э11  4,5 500 5 1000 4 1200
14  Э31  5,5 500 4 1100 5 1100
15  Э42  4,5 500 3 1150 5 1000
16  Э45 4 500 2 1200 4 1150
17  Э11  3,5 500 1 1100 3 1200
18  Э31 3 500  1,5 1000 2 1500
19  Э42  2,5 500 2 1100 1 1400
20  Э45 2 500 2 1000 1 1300
21  Э11  1,5 500 2 1500 2 1350
22  Э31 1 500 1 1400 3 1500
23  Э42 2 500 2 1300 4 1000
24  Э45 3 500 3 1000 5 1200
25  Э11 4 500 4 1250 3 1100

 

Варианты магнитных цепей

№ 1                                                            № 2

δ


                   а                                       в                           в

                

         с                                                         с

                                                с                                              с

с                                  с                                 F2

                                     в

                                                                   2с                                          а

        F1                    F2                                       

             

                                                                                 F3

                                                                                          

                                        с                 с                                                

 

                                                                                                                       

                                                                     

 

                                                                                                                             

                   № 3                                                          № 4

 

                а                                                в           d           в

        

              с                                                          с                     

с

                 с             с    в   с                                 F2                                                                                                                                                   F1    F2                                                                                                       с

                                                 а                                                                           а а                                                                     с                                                                                                                                               

                                                                                                             

                                                d                                                    F3

                                                                                                           

                                                с                     с

                                                                       

            

 

 

                   № 5                                                     № 6

 

 


        2с                                       2с                                      

 

                                                                                                                    

                 F1                      2с            F1

 

 

                                   а                                                                                а

     2с                                              2с                                      

 

2с

                F2                                            F2

                              

 

 

       2с                                                    2с                                                                

 

 

       в                   с                        в                                   в               

                            d                                                 d

 

                 № 7                                                         № 8

     F1        

 

                                                                              

  2c                                                                                       2с

                                                                                                           

                                                   2с                                                                                                                                     2c                                                                                F2

                                                                                                            

        c                        а                                                  с

                                                                                                             

              F2                                                                                            F3                                             2с

                                                                    

                                                                                                    

  2c                                                                                             2с

                                                                                 

                                                                    

              в                d с                     в                            в

                                                                                    δ

                             

                    

                     № 9                                                           № 10

             F1                                                                         F1

 

                         с                                                   с             

 

 

                                                                            с       с

 

                                                      а    а

                            F2                                                                              d

 

с              с                                                         в/2

 

  в/2              с                                                       с

                в               d с                                                    F3

                                                                                              в             d  с

 

 


                  № 11                                                          № 12

 

   в/2                  F1                                   в/2                    F1 

 

        с                                                           с

                                                                         

            2с                                          с          2с           

                                                                                                                                                                                                                                                                                                                                         c                                                                                                               δ     а

                              F2        а      F2                                            

 

                                 F3                                                                   F3

                                                                                                                                   

       c                                                             c

                                                                                                           

                в                    d  с                                   в                  d с

  

                                

                        № 13                                                          № 14

              F1                      F2                        

 

                                                                                                                      

                                с                                                                               с                                 

                                                                             в       с                                  с                                    

                                                                             2                       F1

         в/2

                                                                        в                         2с

                                         F3

            d                                         a                

                                                                                                               d      

c                    c                                                                      

                                                                                                                 F3

                                                                        δ

                                                                        c                            а                                                                                                                                               

              с                                                                       

                         в                        d c                        

 

 


                        № 15                                                               № 16

 

 

             в/2                                                        в/2                F1

 

           c                                                         c

    F1               

                       2c                                         c               2с

                                                                                     

                                       F2                                                                                   δ                                                                                                                                                                                                                                                         а                   

    с                                           а                                                   F2

                                   F3

                                                                                                        

              с                                                        с

 

                        в                        d  с                              в                 δ с        

                                                                                                        

                                              

 

 

               

№ 17                                                    № 18

 

 

                 а                                              в      d      в       

    

          с F2                                                                   с

  с                        с F3 в      

                                                                                                                                                      

                                                                                                    2с             а

                                                                                                                            

                  2с                             d                                                  с

                                                  с       F1

                                                                                                    с                    

 

 

                    № 19                                                          № 20

 

 

                                                                        

                       а                                                         а

                                                                          

                с                                                                с

   с             с             с                                                                              

                                                   в в

 

                                                                              F2                    F3

              F1              F3

                                                         δ

                                                   δ          с              с             с

                                                      с

                                                           

в

 

 

                                                                                с

 

              № 21                                                    № 22

                 F1

 


  2с                                                   2с                                         

                                                                                                  

                                                                                                                                                                      

                                                                                                                       в

                                                                                                     

                                  а                                                                                              

                                                            

                 2с                                                                                             δ                                                                                                      

                                                                                                                                                                                                                                                                        

           F2                                             F2                 F3

2с                                                                                                                 в

 

                                                        2с                 с                 2с            

   2с                                                                      

                                                                         2с

            в                 c                                                                            

                              d                                                                                       

          в                   с                                                             а

                № 23                                                         № 24

                                                                             а

                                                                    с                   с

            2c                                                                            

 

 c                                        

                        F1                                           с            с                    в                                                                                                                                        2с

         с                                                                                                                    

                                                                F1                 F2

 с                                       а                                                                  δ

                                                                                                                                                                                                                                                             δ             с                                                                                                              в     

                       F2 

 

       с

                                                                                              

             в              δ    с                                                                 в

                                                                                        

                                                                                                                с                   


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