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Lecture Electric circuit theory: Two-port networks - Nguyễn Công Phương

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Lecture Electric circuit theory - Two-port networks presents the following content: Parameters, relationships between parameters, two-port network analysis, interconnection of networks, equivalent two-port networks of magnetically coupled circuits,...

Trang 1

Electric Circuit Theory

Two-port Networks

Nguy ễ n Công Ph ươ ng

Trang 2

I Basic Elements Of Electrical Circuits

II Basic Laws

III Electrical Circuit Analysis

IV Circuit Theorems

V Active Circuits

VI Capacitor And Inductor

VII First Order Circuits

VIII.Second Order Circuits

IX Sinusoidal Steady State Analysis

X AC Power Analysis

XI Three-phase Circuits

XII Magnetically Coupled Circuits

XIII.Frequency Response

XIV.The Laplace Transform

XV Two-port Networks

Trang 3

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 5

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 7

2 21

I

V z

Trang 8

2 22

I

V z

Trang 10

1 =0

=

I

V z

Trang 11

1 =0

=

I

V z

Trang 12

2 =0

=

I

V z

Trang 13

2 =0

=

I

V z

Trang 17

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 19

2 21

V

I y

V

Linear Network V 2 = 0

Trang 20

2 22

V

I y

Trang 22

1 =0

=

V

I y

V

1 2 (1// 2) 0.67

1

1.5S 0.67

y = I =

I

Trang 23

1 =0

=

V

I y

I

Trang 24

2 =0

=

V

I y

V

2 = 3Ω = 2Ω = − 2 1

112

1

0.5S 2

I y

I

Trang 25

2 =0

=

V

I y

V

2 3 (2 // 3) 1.2

Trang 27

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 29

Inverse Hybrid Parameters

Trang 31

Inverse Transmission Parameters

Trang 33

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 34

Relationships between Parameters (1)

Trang 35

Relationships between Parameters (2)

Trang 36

Relationships between Parameters (3)

Trang 37

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 38

Two-port Network Analysis (1)

14.09 4.94 A 2.47 3.96 A

j j

Trang 39

Two-port Network Analysis (2)

Trang 40

Two-port Network Analysis (3)

Trang 41

Two-port Network Analysis (4)

Trang 42

Two-port Network Analysis (5)

Trang 43

Two-port Network Analysis (6)

Trang 44

Two-port Network Analysis (7)

Trang 45

Two-port Network Analysis (8)

A

Z

M

Z

Trang 46

Two-port Network Analysis (9)

Trang 47

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 59

Ex 1

Trang 62

123

Trang 63

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 65

a c b

Trang 66

T & П Networks (3)

Ex 2

1.5 0.5

; 0.5 0.83

Trang 67

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 68

Equivalent Two-port Networks of Magnetically Coupled Circuits (1)

Trang 69

1 2

2

1 2 1

Trang 70

Ex. Equivalent Two-port Networks of Magnetically Coupled Circuits (3)

1

E

Trang 71

Equivalent Two-port Networks of Magnetically Coupled Circuits (4)

1

E

1 2

1

E

Trang 72

Ex. Equivalent Two-port Networks of Magnetically Coupled Circuits (5)

1

E

12

a b c

Trang 73

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 78

2 = eq

oc eq

ZZ2 = 43.31 − j 3.77 Ω

Trang 79

Z Zb

c

Z Z

10 20 30

a c b

= Ω

= Ω

= Ω

Z Z Z

Trang 81

Input Impedance (7)

2 = 0

Z

2 1

Trang 82

B AZ

A C

Z B D

Trang 83

Z 1sc = Z ab = { [(Z 7 //Z 6 //Z 5 )+Z 3 ]//Z 4 //Z 2 } +Z 1

Z 1sc = ?

Trang 86

B AZ

A C

Z B D

Trang 87

Two-port Network

1 Introduction

2 Parameters

3 Relationships between Parameters

4 Two-port Network Analysis

Trang 88

Transfer Function (1)

• Voltage transfer function:

• Current transfer function:

• Voltage – current transfer function:

2 1

v = V

K

V

2 1

i = I

K

I

2 1

vi = V

K

I

Trang 89

11 22 12 21 11

21 2

Trang 90

Transfer Function (3)

2 = − L 2

21 2

11 22 12 21 11

21 2

Trang 91

Transfer Function (4)

2 1

i = I

K

I

22 1

11 22 12 21 11

21 2

Ex 1

Trang 92

Transfer Function (5)

2 1

vi = V

K

I

22 1

11 22 12 21 11

21 2

11 22 12 21 11

L

L L

6.60 5.15

L vi

Ex 1

Trang 93

j j

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