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Journals >
Journal of Semiconductors >
Volume 42 >
Issue 5 >
Page 052401 > Article
Journal of Semiconductors
Vol. 42, Issue 5, 052401 (2021)
A complete small-signal HBT model including AC current crowding effect
Jinjing Huang and Jun Liu
Author Affiliations
Key Laboratory of RF Circuits and Systems, Ministry of Education, Hangzhou Dianzi University, Hangzhou 310018, China
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DOI:
10.1088/1674-4926/42/5/052401
Cite this Article
Jinjing Huang, Jun Liu. A complete small-signal HBT model including AC current crowding effect[J]. Journal of Semiconductors, 2021, 42(5): 052401
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Fig. 1.
Complete small-signal equivalent circuit of HBT device including
.
.
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Fig. 2.
Small-signal equivalent circuit after de-embedding the extrinsic parameters.
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Fig. 3.
Final circuit after T-π transformation.
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Fig. 4.
Frequency of
F
0
versus
ω
2
.
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Fig. 5.
S
-parameters comparisons in the frequency range from 100 MHz to 20 GHz under the biasing condition: (a) Bias1 (
V
ce
= 1 V,
I
b
= 15
μ
A), (b) Bias2 (
V
ce
= 1 V,
I
b
= 30
μ
A), (c) Bias3 (
V
ce
= 3 V,
I
b
= 17.5
μ
A).
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Fig. 6.
(a) Plot of
C
bi
versus
I
b
. (b) Plot of
C
bi
versus
V
ce
.
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Parameter
Extracted
Optimized
Error (%)
R
bx
(Ω)
Bias1
6.897
7.723
11.98
Bias3
6.897
8.65
25.42
R
cx
(Ω)
Bias1
1.281
1.591
24.20
Bias3
1.281
1.271
0.781
R
ci
(Ω)
Bias1
1.281
0.970
24.28
Bias3
1.281
0.961
24.98
R
e
(Ω)
Bias1
6.526
5.289
18.95
Bias3
6.526
8.417
28.98
R
bcx
(kΩ)
Bias1
239.9
246.1
2.584
Bias3
571.6
569.3
0.402
C
bcx
(fF)
Bias1
34.92
34.82
0.286
Bias3
30.32
28.58
5.739
R
bex
(kΩ)
Bias1
2.093
5.500
162.8
Bias3
1.590
2.621
64.84
C
bex
(fF)
Bias1
208.5
127.6
38.80
Bias3
639.5
208.6
67.38
R
bi
(Ω)
Bias1
306.7
309.0
0.750
Bias3
627.9
541.4
13.78
C
bi
(pF)
Bias1
2.058
2.033
1.215
Bias3
1.271
1.203
5.350
R
bci
(kΩ)
Bias1
140.4
139.1
0.926
Bias3
271.5
296.8
9.319
C
bci
(fF)
Bias1
1.764
1.773
0.510
Bias3
1.069
1.088
1.777
R
bei
(Ω)
Bias1
2.093
1.490
28.81
Bias3
1.590
0.553
65.22
C
bei
(fF)
Bias1
208.5
289.9
39.04
Bias3
639.5
1,049
64.03
R
o
(kΩ)
Bias1
12.54
12.84
2.390
Bias3
6.666
5.244
21.33
C
o
(fF)
Bias1
23.48
20.43
12.99
Bias3
17.61
17.63
0.114
g
m0
(mS)
Bias1
79.77
80.03
0.326
Bias3
227.5
227.9
0.176
τ
(ps)
Bias1
2.317
2.821
21.75
Bias3
2.834
3.179
12.17
Table 1.
The initial extraction and optimization results of the HBT under Bias1 (
V
ce
= 1 V,
I
b
= 15
μ
A) and Bias3 (
V
ce
= 3 V,
I
b
= 17.5
μ
A). Error = |Extracted – Optimized| / Extracted × 100%.
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Bias
S
-parameter
Without
C
bi
(%)
With
C
bi
(%)
Bias1
S11
85.13
89.31
S12
91.78
94.65
S21
88.37
92.63
S22
97.06
98.39
Bias2
S11
91.62
91.68
S12
95.06
95.86
S21
92.35
93.44
S22
97.70
98.21
Bias3
S11
91.16
92.51
S12
93.49
96.71
S21
93.17
93.82
S22
96.38
99.12
Table 2.
The accuracy of
S
-parameters versus frequency.
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Equations (33)
References (21)
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Jinjing Huang, Jun Liu. A complete small-signal HBT model including AC current crowding effect[J]. Journal of Semiconductors, 2021, 42(5): 052401
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Paper Information
Category: Articles
Received: Aug. 27, 2020
Accepted: --
Published Online: May. 1, 2021
The Author Email:
DOI:
10.1088/1674-4926/42/5/052401
Recommended Topics
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