• Journal of Semiconductors
  • Vol. 42, Issue 5, 052401 (2021)
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 Copy Citation Text show less
    Complete small-signal equivalent circuit of HBT device including . .
    Fig. 1. Complete small-signal equivalent circuit of HBT device including . .
    Small-signal equivalent circuit after de-embedding the extrinsic parameters.
    Fig. 2. Small-signal equivalent circuit after de-embedding the extrinsic parameters.
    Final circuit after T-π transformation.
    Fig. 3. Final circuit after T-π transformation.
    Frequency of F0 versus ω2.
    Fig. 4. Frequency of F0 versus ω2.
    S-parameters comparisons in the frequency range from 100 MHz to 20 GHz under the biasing condition: (a) Bias1 (Vce = 1 V, Ib = 15 μA), (b) Bias2 (Vce = 1 V, Ib = 30 μA), (c) Bias3 (Vce = 3 V, Ib = 17.5 μA).
    Fig. 5. S-parameters comparisons in the frequency range from 100 MHz to 20 GHz under the biasing condition: (a) Bias1 (Vce = 1 V, Ib = 15 μA), (b) Bias2 (Vce = 1 V, Ib = 30 μA), (c) Bias3 (Vce = 3 V, Ib = 17.5 μA).
    (a) Plot of Cbi versus Ib. (b) Plot of Cbi versus Vce.
    Fig. 6. (a) Plot of Cbi versus Ib. (b) Plot of Cbi versus Vce.
    ParameterExtractedOptimizedError (%)
    Rbx (Ω) Bias16.8977.72311.98
    Bias36.8978.6525.42
    Rcx (Ω) Bias11.2811.59124.20
    Bias31.2811.2710.781
    Rci (Ω) Bias11.2810.97024.28
    Bias31.2810.96124.98
    Re (Ω) Bias16.5265.28918.95
    Bias36.5268.41728.98
    Rbcx (kΩ) Bias1239.9246.12.584
    Bias3571.6569.30.402
    Cbcx (fF) Bias134.9234.820.286
    Bias330.3228.585.739
    Rbex (kΩ) Bias12.0935.500162.8
    Bias31.5902.62164.84
    Cbex (fF) Bias1208.5127.638.80
    Bias3639.5208.667.38
    Rbi (Ω) Bias1306.7309.00.750
    Bias3627.9541.413.78
    Cbi (pF) Bias12.0582.0331.215
    Bias31.2711.2035.350
    Rbci (kΩ) Bias1140.4139.10.926
    Bias3271.5296.89.319
    Cbci (fF) Bias11.7641.7730.510
    Bias31.0691.0881.777
    Rbei (Ω) Bias12.0931.49028.81
    Bias31.5900.55365.22
    Cbei (fF) Bias1208.5289.939.04
    Bias3639.51,04964.03
    Ro (kΩ) Bias112.5412.842.390
    Bias36.6665.24421.33
    Co (fF) Bias123.4820.4312.99
    Bias317.6117.630.114
    gm0 (mS) Bias179.7780.030.326
    Bias3227.5227.90.176
    τ (ps) Bias12.3172.82121.75
    Bias32.8343.17912.17
    Table 1. The initial extraction and optimization results of the HBT under Bias1 (Vce = 1 V, Ib = 15 μA) and Bias3 (Vce = 3 V, Ib = 17.5 μA). Error = |Extracted – Optimized| / Extracted × 100%.
    BiasS-parameter Without Cbi (%) With Cbi (%)
    Bias1S1185.1389.31
    S1291.7894.65
    S2188.3792.63
    S2297.0698.39
    Bias2S1191.6291.68
    S1295.0695.86
    S2192.3593.44
    S2297.7098.21
    Bias3S1191.1692.51
    S1293.4996.71
    S2193.1793.82
    S2296.3899.12
    Table 2. The accuracy of S-parameters versus frequency.
    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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