Lecture Electric circuit theory: Electrical circuit analysis - Nguyễn Công Phương

Lecture Electric circuit theory: Electrical circuit analysis include all of the following: Branch current method, node voltage method, mesh current method. Inviting ypu refer lecture for more details.

Electric Circuit Theory

Electrical Circuit Analysis

Nguy ễ n Công Ph ươ ng

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

Electrical Circuit Analysis

1 Branch current method

2 Node voltage method

3 Mesh current method

Branch current method (1)

Branch current method (2)

Branch current method (3)

Branch current method (4)

Branch current method (5)

Branch current method (6)

–

+ –

Branch current method (7)

–

+ –

Branch current method (8)

–

+ –

300

0.46 A 650

2350

3.62 A 650

i i i

Electrical Circuit Analysis

1 Branch current method

2 Node voltage method

3 Mesh current method

Node voltage method (1)

Node voltage method (2)

Node voltage method (3)

3

v i

Node voltage method (4)

Ex 1

4 4

b c

v v

v i

Node voltage method (5)

R

−

=

1 1

1

a

E v i

R

−

=

2 2

2

a

E v i

Node voltage method (6)

i i i i

Node voltage method (7)

1 the reference node

2 the sum of the reciprocals

of all resistances connected

to each node

3 the negative sum of the

reciprocals of the

resistances of all branches

joining each pair of nodes

4 current source(s) for each

Node voltage method (8)

Node voltage method (9)

Node voltage method (10)

+ –

Node voltage method (11)

+ –

Node voltage method (12)

Node voltage method (13)

Node voltage method (14)

+ –

Node voltage method (15)

–

+ –

9.23

0.46 A 20

45 9.23

3.62 A 15

Electrical Circuit Analysis

1 Branch current method

2 Node voltage method

3 Mesh current method

Mesh current method (1)

Mesh current method (2)

5A 2A

Mesh current method (3)

A B

i i





Ex 1

Mesh current method (4)

Mesh current method (5)

i i

Mesh current method (6)

i i

Mesh current method (7)

i i

Mesh current method (8)

i C

J A: R 1 (i A )

B: R 3 (i B + J )

C: R 2 (i C – i A )

+ R 5 (i A – i B ) + R 2 (i A – i C ) = E 1 + R 4 (i B – i C ) + R 5 (i B – i A ) = 0

Mesh current method (9)

i C

J

+ –

Mesh current method (10)

i i i

Mesh current method (11)

Mesh current method (12)

Mesh current method (13)

–

+ –

A B

i i

2.08 A

2 0.46 A 3.62 A

Mesh current method (14)

–

+ –

A B

i i

2.08 A

2 0.46 A 3.62 A

A B

i i

2.08 A

2 0.46 A 3.62 A

Electrical Circuit Analysis

1 Branch current method

2 Node voltage method

3 Mesh current method