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High accuracy computational methods for behavioral modeling of thick-film resistors at cryogenic temperatures Cover

High accuracy computational methods for behavioral modeling of thick-film resistors at cryogenic temperatures

Materials Science-Poland
Volume 34 (2016): Issue 1 (March 2016)
By:
Open Access
|Apr 2016

Figures & Tables

Fig. 1

Typical shape of R(T) characteristics of thick-film resistor (left) and a simple DC electrical equivalent circuit for the surface and buried resistor (right).
Typical shape of R(T) characteristics of thick-film resistor (left) and a simple DC electrical equivalent circuit for the surface and buried resistor (right).

Fig. 2

Principle of operation of continuous gas-flow type cryostat.
Principle of operation of continuous gas-flow type cryostat.

Fig. 3

Thick-film resistors test matrix and signal pins.
Thick-film resistors test matrix and signal pins.

Fig. 4

Resistance and its standard deviation vs. temperature (R323): a dotted blue line – mean-value resistance measured R, b red and green lines – +/-standard deviation of resistance.
Resistance and its standard deviation vs. temperature (R323): a dotted blue line – mean-value resistance measured R, b red and green lines – +/-standard deviation of resistance.

Fig. 5

Mean-value differential TCR characteristics vs. temperature, R323 – green line, R324 – light blue dotted line, R325 – yellow line, DP1931 – blue line, DP1939 – red line.
Mean-value differential TCR characteristics vs. temperature, R323 – green line, R324 – light blue dotted line, R325 – yellow line, DP1931 – blue line, DP1939 – red line.

Fig. 6

Thermal characteristics of relative (normalized) resistance Rr, R323 – green line, R324 – light blue dotted line, R325 – yellow line, DP1931 – blue line, DP1939 – red line.
Thermal characteristics of relative (normalized) resistance Rr, R323 – green line, R324 – light blue dotted line, R325 – yellow line, DP1931 – blue line, DP1939 – red line.

Fig. 7

Relative resistance Rr vs. temperature and its standard deviation (DP1931), blue circles – mean values of measured relative resistance, red and blue lines – Rr +/-standard deviation of relative resistance, green continuous line – relative resistance characteristics approximated by polynomial.
Relative resistance Rr vs. temperature and its standard deviation (DP1931), blue circles – mean values of measured relative resistance, red and blue lines – Rr +/-standard deviation of relative resistance, green continuous line – relative resistance characteristics approximated by polynomial.

Fig. 8

Two-dimensional plot of relative errors at 0 °C.
Two-dimensional plot of relative errors at 0 °C.

Fig. 9

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Fig. 10

Two-dimensional plot of relative errors at 0 °C.
Two-dimensional plot of relative errors at 0 °C.

Fig. 11

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Fig. 12

Two-dimensional plot of relative errors at –120 °C.
Two-dimensional plot of relative errors at –120 °C.

Fig. 13

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Fig. 14

Two-dimensional plot of relative errors at –180 °C.
Two-dimensional plot of relative errors at –180 °C.

Fig. 15

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Fig. 16

Two-dimensional plot of relative errors at –180 °C.
Two-dimensional plot of relative errors at –180 °C.

Fig. 17

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Fig. 18

Two-dimensional plot of relative errors at –80 °C.
Two-dimensional plot of relative errors at –80 °C.

Fig. 19

Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.
Plot of temperature dependence of relative errors, average error – blue line, maximal error – red line, minimal error – green line.

Matrix of resistances for every test coupon at each temperature_

[mm]w = 5.91w = 5.19w = 3.96w = 2.51w = 1.31w = 0.59
l = 5.91R1(T)R2(T)R3(T)R4(T)R5(T)R6(T)
l = 5.19R7(T)R8(T)R9(T)R10(T)R11(T)R12(T)
l = 3.96R13(T)R14(T)R15(T)R16(T)R17(T)R18(T)
l = 2.51R19(T)R20(T)R21(T)R22(T)R23(T)R24(T)
l = 1.31R25(T)R26(T)R27(T)R28(T)R29(T)R30(T)
l = 0.59R31(T)R32(T)R33(T)R34(T)R35(T)R36(T)

Maximal mean errors for examined type of resistors at 0 °C, –80 °C and –180 °C_

S [%] = max{|S|, |Smin|, |Smax|}
DP1931DP1939R323R324R325
ABABABABAB
0 °C8.3· 10−47.860.0180.2800.0191.080.0166.360.0071.54
–80 °C0.217.920.4310.6200.6481.140.7356.550.5671.69
–180 °C0.497.973.1903.2001.4701.441.7026.141.0291.93
DOI: https://doi.org/10.1515/msp-2016-0031 | Journal eISSN: 2083-134X | Journal ISSN: 2083-1331
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Language: English
Page range: 212 - 225
Submitted on: Mar 9, 2015
Accepted on: Jan 21, 2016
Published on: Apr 27, 2016
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year
Keywords:
thick-film resistors,
cryogenic temperature,
behavioral modeling
Related subjects:
Materials sciences,
Materials sciences, other,
Nanomaterials,
Functional and smart materials,
Materials characterization and properties

© 2016 Franciszek Balik, Andrzej Dziedzic, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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