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МІНІСТЕРСТВО ОСВІТИ І НАУКИ УКРАЇНИ.doc
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Results of calculation

In figure 9.5 graphical functional dependences of calculated values of induction in the magnetic circuit (fig. 9.1) accord to each step of iteration are represented.

The task for fulfillment

· To study item 9.1.

· To repeat the program represented in item. 9.1 and to obtain dependences B(k)

into each limb of magnetic system (fig. 9.5);

· To display the finish numerical values of magnetic induction;

· To verify program;

· Laboratory work results (the program, listing of calculation, graphics) are saved in a personal file.

Figure 9.5 – Calculated curves of magnetic induction in limbs of the core according to iteration step

10 LAboratory work # 10

TOPIC : Modeling of electromagnetic processes in magnetic circuits of a direct magnetic flux in MATLAB environment. Part 2.

PURPOSE OF THE WORK: Problem statement, development of the program of calculation of a nonlinear magnetic circuit by the Newton method using discrete models of nonlinear resistance and their spline-interpolation.

The task for fulfillment

For the given variant of the magnetic circuit:

 Develop mathematical model for calculation of magnetic fluxes through the core;

 Make the program realizing developed model;

 Organize graphical output of the calculated values of magnetic inductions in the magnetic circuit (fig. 10.1) accord to the number of each step of iteration;

 Debug the program;

 Verify program;

 Save the results of the work (the program, listing of calculation, graphics) at your personal file;

 Draw up the report on laboratory work. The report would contain the mathematical model of the studied circuit, texts of programs, results of calculation, conclusion.

Individual tasks

The design of a magnetic system is represented in figure 10.1.

Figure 10.1 – The modeled magnetic circuit

Parameters of a magnetic system according to the given variant are placed in table 10.1, where L11 is thickness of the core limbs.

A curve of magnetization B(H) is adduced in methodical direction to laboratory work #9.

Table 10.1.

Var

#

L1, mm

L2, mm

L3, mm

L4, mm

L5, mm

L6, mm

L7, mm

L8, mm

L9, mm

L10, mm

L11, mm

I1,

A

I2,

A

N1

N2

1

20

80

25

80

20

25

80

0.02

0.02

25

25

10

10

60

60

2

25

80

20

80

20

20

80

0.01

0.02

20

20

20

10

30

60

3

20

100

20

100

20

20

100

0.03

0.02

20

20

40

10

10

60

4

30

80

30

80

30

30

80

0.04

0.01

30

30

40

30

14

20

5

20

90

20

90

20

20

90

0.02

0.03

20

20

50

5

40

50

6

15

80

15

80

15

15

80

0.05

0.03

15

15

15

10

15

10

7

20

70

20

70

20

20

70

0.06

0.04

20

20

35

30

50

20

8

40

180

40

180

40

40

180

0.02

0.02

40

40

50

7

10

80

9

50

200

50

200

50

50

200

0.07

0.07

50

50

70

20

20

60

10

20

90

20

90

20

20

90

0.01

0.1

20

20

30

10

40

40

11

30

100

30

100

30

30

100

0.05

0.02

30

40

55

15

5

15

12

50

100

50

100

50

50

300

0.08

0.07

50

50

70

40

20

10

13

40

150

40

150

40

40

140

0.05

0.05

60

40

50

60

10

80

14

40

100

40

100

30

30

100

0.05

0.02

30

40

55

15

50

45

15

10

60

10

60

10

10

60

0.03

0.05

10

20

5

15

50

10

16

80

200

80

200

80

80

200

0.1

0.2

80

80

70

60

10

60

17

50

200

50

200

50

50

200

0.1

0.2

50

50

50

60

20

60

18

50

300

50

300

50

50

300

0.4

0.5

50

50

60

60

30

60

19

30

250

30

250

30

30

250

0.05

0.02

30

40

55

15

30

45

20

40

150

40

150

40

40

150

0.05

0.04

40

40

50

30

50

80

21

60

280

60

280

60

60

280

0.02

0.02

60

60

60

50

10

60

22

20

70

20

80

20

10

80

0.03

0.02

10

20

10

10

60

30

23

20

190

20

190

20

20

190

0.2

0.08

20

20

60

30

40

80

24

25

80

25

80

25

25

80

0.02

0.02

25

20

10

10

65

20

25

30

150

30

150

30

30

150

0.04

0.03

30

30

40

35

18

19