H Parameters Conversion
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HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
Conversion of h-parameters and Parameters of Hybrid-π Model for a BJT Circuit Models in CE Configuration
2-port network
Suffixes for h-parameters i = input f = forward
h-parameter for CE
r = reverse o = output
Suffixes for Transistor c - collector b - base
e - emitter
Typical Values for an NPN transistor
hie = 1200Ω
hre = 2 × 10 − 4
h fe = 100
hoe = 20 × 10− 6 S
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 1
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
(1) CE Amplifier Schematic
(2) Equivalent Circuit – h-parameter
(3) Equivalent Circuit – Hybrid-π EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 2
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
There are 4 h-parameters for the CE configurations, viz., Short-circuit input resistance h 11
h11 =
v1 i1 v
=0
2
h-parameter / CE
hie =
vbe ib V
CE
= constant
Hybrid-π Here if v2 = 0 , i.e. vce = 0 or VCE = constant, we have
hie = rπ =
vbe ib
Short-circuit forward current ratio h 21
h21 =
i2 i1 v
2
=0
h-parameter / CE
h fe =
ic ib V
CE
= constant
Hybrid-π Straight forward,
h fe =
ic =β ib
Open-circuit reverse voltage ratio h 12
h12 =
v1 v2 i = 0 1
h-parameter / CE
Hybrid-π
v hre = be vce
vce ir = − c o = − g m ro ; and vbe vbe v 1 1 hre = be = =− vce I = constant Av g m ro Av =
I B = constant
B
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 3
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
Open-circuit output admittance h 22
h22 =
i2 v2 i = 0 1
h-parameter / CE
hoe =
ice vce
I B = constant
Hybrid-π By inspection of circuit,
1 V hoe = = A ro I C
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
−1
Page 4
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 5
Conversion of h-parameters and Parameters of Hybrid-π Model for a BJT Circuit Models in CE Configuration
2-port network
Suffixes for h-parameters i = input f = forward
h-parameter for CE
r = reverse o = output
Suffixes for Transistor c - collector b - base
e - emitter
Typical Values for an NPN transistor
hie = 1200Ω
hre = 2 × 10 − 4
h fe = 100
hoe = 20 × 10− 6 S
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 1
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
(1) CE Amplifier Schematic
(2) Equivalent Circuit – h-parameter
(3) Equivalent Circuit – Hybrid-π EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 2
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
There are 4 h-parameters for the CE configurations, viz., Short-circuit input resistance h 11
h11 =
v1 i1 v
=0
2
h-parameter / CE
hie =
vbe ib V
CE
= constant
Hybrid-π Here if v2 = 0 , i.e. vce = 0 or VCE = constant, we have
hie = rπ =
vbe ib
Short-circuit forward current ratio h 21
h21 =
i2 i1 v
2
=0
h-parameter / CE
h fe =
ic ib V
CE
= constant
Hybrid-π Straight forward,
h fe =
ic =β ib
Open-circuit reverse voltage ratio h 12
h12 =
v1 v2 i = 0 1
h-parameter / CE
Hybrid-π
v hre = be vce
vce ir = − c o = − g m ro ; and vbe vbe v 1 1 hre = be = =− vce I = constant Av g m ro Av =
I B = constant
B
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 3
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
Open-circuit output admittance h 22
h22 =
i2 v2 i = 0 1
h-parameter / CE
hoe =
ice vce
I B = constant
Hybrid-π By inspection of circuit,
1 V hoe = = A ro I C
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
−1
Page 4
HONG KONG INSTITUTE OF VOCATIONAL EDUCATION (SHA TIN) DEPARTMENT OF ELECTRONIC AND INFORMATION ENGINEERING
EI2550 Topic 1 – h-parameters Conversion QCK Leung – October 2001
Page 5
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