Download 6- emt212 two ports-sv

EMT 212
ANALOG ELECTRONICS
Professor Robert T Kennedy
Prof. R T Kennedy
INPUT
PORT
TWO PORTS
OUTPUT
PORT
NETWORK
or
SYSTEM
PASSIVE CIRCUIT:
FILTER ATTENUATOR TRANSMISSION LINE
PASSIVE ELEMENT: R . L . C
ACTIVE CIRCUIT:
ACTIVE ELEMENT:
AMPLIFIER
(discrete or integrated);
OSCILLATOR
TRANSISTOR
Prof. R T Kennedy
INPUT
PORT
NETWORK
or
SYSTEM
OUTPUT
PORT
SINGLE ENDED TWO PORT
INPUT
PORT
OUTPUT
PORT
NETWORK
or
SYSTEM
DIFFERENTIAL TWO PORT
Prof. R T Kennedy
PORT VARIABLES
electrical responses
INPUT
PORT
I1
V1
I2
NETWORK
or
SYSTEM
OUTPUT
PORT
V2
INPUT VOLTAGE
OUTPUT VOLTAGE
INPUT CURRENT
OUTPUT CURRENT
EACH CURRENT & VOLTAGE HAS 2 POSSIBLE DIRECTIONS
2 4  16 combinations
Prof. R T Kennedy
TWO PORT REPRESENTATION
TWO EQUATIONS BASED ON SELECTING
2 of the 4 TERMINAL I’s or V’s as DEPENDENT VARIABLES
2 of the 4 TERMINAL I’s or V’s as INDEPENDENT VARIABLES
v1

fn (i1 , i2 )
i1

fn (v1 , v 2 )
v1

fn (i1 , v 2 )
v2

fn (i1 , i2 )
i2

fn (v1 , v 2 )
i2

fn (i1 , v 2 )
v1

fn (v 2 , i2 )
i1

fn (v1 , i2 )
v2

fn (v1 , i1 )
i1

fn (v 2 , i2 )
v2

fn (v1 , i2 )
i2

fn (v1 , i1 )
Prof. R T Kennedy
TWO PORT PARAMETERS
v1

fn (i1 , i2 )
V1 
v2

fn (i1 , i2 )
V1  Z 21I 1  Z 22 I 2
Z11I 1

Z12 I 2
6 SETS
4 PARAMETERS
Z11 Z12 
I   z I 

 Z 21 Z 22 
4 ‘ Z’ PARAMETERS
V   
Prof. R T Kennedy
TWO PORT PARAMETERS
v1

fn (i1 , i2 )
i1

fn (v1 , v 2 )
v1

fn (i1 , v 2 )
v2

fn (i1 , i2 )
i2

fn (v1 , v 2 )
i2

fn (i1 , v 2 )
z PARAMETERS
z 
y PARAMETERS
y 
h PARAMETERS
h
v1

fn (v 2 ,z i2 )
i1

fn (v1 , i2 )
v2

fn (v1 , i1 )
i1

fn (v 2 , i2 )
v2

fn (v1 , i2 )
i2

fn (v1 , i1 )
a PARAMETERS
a
g PARAMETERS
g 
b PARAMETERS
b
Prof. R T Kennedy
TWO PORT CONVENTION
INPUT
PORT
V1
I1
OUTPUT
PORT
I2
NETWORK
or
SYSTEM
V2
6 SETS OF PARAMETERS
2 POSSIBLE TERMINAL COMBINATIONS
OUTPUT CURRENT DIRECTION CHANGE
CHANGE PARAMETERS by I2 polarity CHANGE
Prof. R T Kennedy
EQUIVALENT CIRCUIT
I1
Z11 I1
Z22 I2
Z11
V1
I2
Z22
Z12 I2
Z21
I1
V2
DEPENDENT VOLTAGE SOURCES
CCVS : CURRENT CONTROLLED VOLTAGE SOURCES
Prof. R T Kennedy
EQUIVALENT CIRCUIT
I1
Z11 I1
Z22 I2
Z11
V1
I2
Z22
Z12 I2
Z21
I1
V2
Z12I2 REPRESENTS REVERSE TRANSFER
Z21I1 REPRESENTS FORWARD TRANSFER
Prof. R T Kennedy
CIRCUIT APPROXIMATION
Z22 I2
I1
I2
Z22
V1
Z11 I1
Z11
Z21
I1
V2
Z21I1 REPRESENTS FORWARD TRANSFER
assume ZERO REVERSE TRANSFER
Prof. R T Kennedy
OP-AMP EQUIVALENCE
Rout Iout
I1
Iout
Rout
Vin
Rin I1
Rin
AVin
Vout
assume ONLY FORWARD TRANSFER
Prof. R T Kennedy