maximal linearity for temperature sensing with NTC (LTspice)
I got a request recently about the following statement; an NTC curve variation of resistance in function of the temperature is roughly exponential. If you want to build a switching application where you compare the NTC resistance to a linear potentiometer, it will be hard to calibrate a linear switching over an extended temperature range. Then I thought of this good old amplifier type which is called a logarithmic amplifier. After a long search on the web (what can still be new today?), I didn't find many illustrations of such a concept, only one obscure circuit, made with outdated devices (you will find the reference in the simulation sheet self). I decided to undust the circuit in the following application simulation.
Although we want to see the Vout variation in function of the temperature, it seems impossible to obtain this straightforward without performing a transient simulation, because the Capacitance C2 must be first charged at its steady state voltage. We thus perform a 1s transient simulation, and Vout has reached the steady state at the tested temperatures.
schematics
illustration of C2 charging at beginning of the simulation
transient variation of Vout (with TEMP sweep)
measurement of Vout in function of TEMP after 1s
linear regression of Vout in function of TEMP
We have thus produced a linear voltage over a very wide temperature range and this voltage can thus be compared to a voltage produced by a linear potentiometer.
* Library of Vishay NTC Thermistors for LTspice XVII
*
*
* $Revision: 2.0 $
* $Author: Alain Stas $
* $Date: 20 June 2019 $
* $Revision History : addition of NTCS0402E3103_L1T
*---------------------------------------------------------------
*
* Vishay NTC Thermistors included in this file : NTCLE100/NTCLE101/NTCLE201/NTCLE203/NTCS
* DESCRIPTION: through hole and surface mount NTC thermistors
* For power rating and temperature range limitations, see
* NTCLE100 : http://www.vishay.com/thermistors/list/product-29049/
* NTCLE101 : http://www.vishay.com/thermistors/list/product-29046/ and 29152
* NTCLE203 :http://www.vishay.com/thermistors/list/product-29048/ and 29118
* NTCS0402:http://www.vishay.com/thermistors/list/product-29003/
* NTCS0603:http://www.vishay.com/thermistors/list/product-29056/
* NTCS0805:http://www.vishay.com/thermistors/list/product-29044/
* or use the search engine of Vishay for visualizing particular data sheet at http://www.vishay.com/
*
* the model is applicable for transient and steady states conditions under bias including self heating.
* tolerances TolB on Steinhart & Hart coef. are valid only between 25 and 85°C,and are only given for information outside this range
* the tolerances on R25 and B25/85 are simulated by the values of R2 and R3 under the form of a random distribution using the LT spice MC function
*$
.SUBCKT NTC_BASE Rn Rp Params:W=1 X=1 Y=1 Z=1 GTH=1 GTH1=1 CTH=1 A=1 R25=1 B=1 C=1 D=1 T0=273.15
R2 tR 0 {mc(1,tolR/100)}
R3 tB 0 {mc(1,tolB/100)}
I1 tR 0 -1
I2 tB 0 -1
G_G1 AOUT 0 VALUE { if(TEMP>25,V(AOUT,
+ 0)/(R25*V(TR)*exp(((D*v(TB)/(T0+abs(V(H))+TEMP)+C*V(TB))/(T0+abs(V(H))+TEMP)+B*v(TB))/(T0+TEMP+abs(V(H)))+A*v(TB))),0)
+ }
G_G2 AOUT 0 VALUE { IF(TEMP>25,0,V(AOUT,
+ 0)/(R25*v(TR)*exp(((Z*v(TB)/(T0+abs(V(H))+TEMP)+Y*v(TB))/(T0+abs(V(H))+TEMP)+X*v(TB))/(T0+abs(V(H))+TEMP)+W*v(TB))))
+ }
G_G3 H 0 VALUE {
+ if(TEMP>25,-V(RP,RN)*V(RP,RN)/(R25*v(TR)*exp(((D*v(TB)/(T0+abs(V(H))+TEMP)+C*v(TB))/(T0+abs(V(H))+TEMP)+B*v(TB))/
+ (T0+TEMP+abs(V(H)))+A*v(TB))),0)}
G_G4 H 0 VALUE {
+ if(TEMP>25,0,-V(RP,RN)*V(RP,RN)/(R25*v(TR)*exp(((Z*v(TB)/(T0+abs(V(H))+TEMP)+Y*v(TB))/(T0+abs(V(H))+TEMP)+X*v(TB))/
+ (T0+TEMP+abs(V(H)))+W*v(TB))))}
G_G5 RP RN VALUE { V(RP, RN)/V(AOUT) }
G_G6 H 0 VALUE { V(H)*(Gth + Gth1*(TEMP-25)) }
I_I1 0 AOUT DC 1Adc
R_R1 0 AOUT 1T TC=0,0
R_R2 0 H 1T TC=0,0
C_C1 0 H {Cth}
.IC V(H)=0
.ENDS
*$
.SUBCKT NTCS0805E3684_XT RN Rp PARAMS: TR=0 TB=0
X1 Rn Rp NTC_BASE Params:
+ w=-15.960492581963
+ x=5523.15364280883
+ y=-229163.669949468
+ z=363212.812557817
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-15.9604925819634
+ r25=680000
+ b=5523.15364280883
+ c=-229163.669949468
+ d=363212.812557817
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3683_XT RN Rp PARAMS: TR=0 TB=0
X2 Rn Rp NTC_BASE Params:
+ w=-14.864567961533
+ x=4791.5065960973
+ y=-93249.887887675
+ z=-4166790.45148179
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-14.8645679615339
+ r25=68000
+ b=4791.5065960973
+ c=-93249.887887675
+ d=-4166790.45148179
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3474_XT RN Rp PARAMS: TR=0 TB=0
X3 Rn Rp NTC_BASE Params:
+ w=-14.794712363821
+ x=4839.842
+ y=-115334
+ z=-3730535
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-14.7947123638219
+ r25=470000
+ b=4839.842
+ c=-115334
+ d=-3730535
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3473_HT RN Rp PARAMS: TR=0 TB=0
X4 Rn Rp NTC_BASE Params:
+ w=-15.032300388762
+ x=5179.93432510098
+ y=-233607.120677708
+ z=7597557.06340118
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-15.0323003887629
+ r25=47000
+ b=5179.93432510098
+ c=-233607.120677708
+ d=7597557.06340118
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3472_MT RN Rp PARAMS: TR=0 TB=0
X5 Rn Rp NTC_BASE Params:
+ w=-12.407107004141
+ x=3778.38608505299
+ y=33708.0168743401
+ z=-17091038.2603767
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-12.4071070041412
+ r25=4700
+ b=3778.38608505299
+ c=33708.0168743401
+ d=-17091038.2603767
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3334_HT RN Rp PARAMS: TR=0 TB=0
X6 Rn Rp NTC_BASE Params:
+ w=-14.476080802527
+ x=4744.842
+ y=-115334
+ z=-3730535
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-14.4760808025273
+ r25=330000
+ b=4744.842
+ c=-115334
+ d=-3730535
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3333_HT RN Rp PARAMS: TR=0 TB=0
X7 Rn Rp NTC_BASE Params:
+ w=-14.610948767717
+ x=4997.48896697033
+ y=-231003.837768469
+ z=11872256.7334812
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-14.6109487677176
+ r25=33000
+ b=4997.48896697033
+ c=-231003.837768469
+ d=11872256.7334812
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3223_HT RN Rp PARAMS: TR=0 TB=0
X8 Rn Rp NTC_BASE Params:
+ w=-13.810061704584
+ x=4464.33989162779
+ y=-91067.4624952509
+ z=-3682697.02233691
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-13.8100617045846
+ r25=22000
+ b=4464.33989162779
+ c=-91067.4624952509
+ d=-3682697.02233691
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3222_MT RN Rp PARAMS: TR=0 TB=0
X9 Rn Rp NTC_BASE Params:
+ w=-12.022147939918
+ x=3397.22810533551
+ y=116133.116092231
+ z=-17986435.276086
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-12.0221479399188
+ r25=2200
+ b=3397.22810533551
+ c=116133.116092231
+ d=-17986435.276086
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3153_MT RN Rp PARAMS: TR=0 TB=0
X10 Rn Rp NTC_BASE Params:
+ w=-13.283039163800
+ x=4167.09302924605
+ y=-23689.4127954143
+ z=-11316152.4821544
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-13.2830391638009
+ r25=15000
+ b=4167.09302924605
+ c=-23689.4127954143
+ d=-11316152.4821544
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3104_XT RN Rp PARAMS: TR=0 TB=0
X11 Rn Rp NTC_BASE Params:
+ w=-15.258198494082
+ x=5147.89965225205
+ y=-199635.115218401
+ z=6303582.47627097
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-15.2581984940823
+ r25=100000
+ b=5147.89965225205
+ c=-199635.115218401
+ d=6303582.47627097
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3104_MT RN Rp PARAMS: TR=0 TB=0
X12 Rn Rp NTC_BASE Params:
+ w=-13.633890559134
+ x=4624.07407976041
+ y=-162624.034923012
+ z=-1216588.60209115
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-13.6338905591344
+ r25=100000
+ b=4624.07407976041
+ c=-162624.034923012
+ d=-1216588.60209115
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3103_MT RN Rp PARAMS: TR=0 TB=0
X13 Rn Rp NTC_BASE Params:
+ w=-13.40885683108
+ x=4547.96149408261
+ y=-176965.917057285
+ z=3861153.74690121
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.08216
+ a=-13.408856831082
+ r25=10000
+ b=4547.96149408261
+ c=-176965.917057285
+ d=3861153.74690121
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3103_LT RN Rp PARAMS: TR=0 TB=0
X14 Rn Rp NTC_BASE Params:
+ w=-15.407851685736
+ x=6432.86844226693
+ y=-706230.001955726
+ z=47085918.8340211
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-15.4078516857364
+ r25=10000
+ b=6432.86844226693
+ c=-706230.001955726
+ d=47085918.8340211
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0805E3103_HT RN Rp PARAMS: TR=0 TB=0
X15 Rn Rp NTC_BASE Params:
+ w=-12.760931023421
+ x=3271.30574915945
+ y=291826.403510391
+ z=-39595327.6468017
+ gth=0.0048 gth1 = 0.0000267
+ cth=0.03216
+ a=-12.7609310234213
+ r25=10000
+ b=3271.30574915945
+ c=291826.403510391
+ d=-39595327.6468017
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3683_HT RN Rp PARAMS: TR=0 TB=0
X16 Rn Rp NTC_BASE Params:
+ w=-15.631687995314
+ x=5696.9706158521
+ y=-389523.672461065
+ z=24008865.2720328
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-15.6316879953145
+ r25=68000
+ b=5696.9706158521
+ c=-389523.672461065
+ d=24008865.2720328
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3473_HT RN Rp PARAMS: TR=0 TB=0
X17 Rn Rp NTC_BASE Params:
+ w=-14.853753305122
+ x=5126.73027409285
+ y=-256529.141866533
+ z=14429112.0366482
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-14.8537533051224
+ r25=47000
+ b=5126.73027409285
+ c=-256529.141866533
+ d=14429112.0366482
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3472_HT RN Rp PARAMS: TR=0 TB=0
X18 Rn Rp NTC_BASE Params:
+ w=-12.466755245940
+ x=3337.52734699875
+ y=200392.420077018
+ z=-26017659.4249521
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-12.4667552459405
+ r25=4700
+ b=3337.52734699875
+ c=200392.420077018
+ d=-26017659.4249521
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3333_HT RN Rp PARAMS: TR=0 TB=0
X19 Rn Rp NTC_BASE Params:
+ w=-14.518924355323
+ x=5042.19238100273
+ y=-266491.400082211
+ z=16040058.1503681
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-14.5189243553236
+ r25=33000
+ b=5042.19238100273
+ c=-266491.400082211
+ d=16040058.1503681
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3272_MT RN Rp PARAMS: TR=0 TB=0
X20 Rn Rp NTC_BASE Params:
+ w=-12.022147939918
+ x=3397.22810533551
+ y=116133.116092231
+ z=-17986435.276086
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-12.0221479399188
+ r25=2700
+ b=3397.22810533551
+ c=116133.116092231
+ d=-17986435.276086
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3223_MT RN Rp PARAMS: TR=0 TB=0
X21 Rn Rp NTC_BASE Params:
+ w=-13.436446712828
+ x=4278.16605968043
+ y=-59797.420122998
+ z=-6358363.60489759
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-13.4364467128288
+ r25=22000
+ b=4278.16605968043
+ c=-59797.420122998
+ d=-6358363.60489759
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3222_MT RN Rp PARAMS: TR=0 TB=0
X22 Rn Rp NTC_BASE Params:
+ w=-11.753826625144
+ x=3317.22810533551
+ y=116133.116092231
+ z=-17986435.276086
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-11.7538266251443
+ r25=2200
+ b=3317.22810533551
+ c=116133.116092231
+ d=-17986435.276086
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3202_LT RN Rp PARAMS: TR=0 TB=0
X23 Rn Rp NTC_BASE Params:
+ w=-11.418451094150
+ x=3217.25238428639
+ y=116125.772409905
+ z=-17985711.922342
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-11.4184510941507
+ r25=2000
+ b=3217.25238428639
+ c=116125.772409905
+ d=-17985711.922342
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3153_MT RN Rp PARAMS: TR=0 TB=0
X24 Rn Rp NTC_BASE Params:
+ w=-13.692171596331
+ x=4756.05357621921
+ y=-234664.440293618
+ z=10074804.8964881
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-13.6921715963311
+ r25=15000
+ b=4756.05357621921
+ c=-234664.440293618
+ d=10074804.8964881
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3124_MT RN Rp PARAMS: TR=0 TB=0
X25 Rn Rp NTC_BASE Params:
+ w=-13.633890559134
+ x=4624.07407976041
+ y=-162624.034923012
+ z=-1216588.60209115
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-13.6338905591344
+ r25=122000
+ b=4624.07407976041
+ c=-162624.034923012
+ d=-1216588.60209115
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3104_XT RN Rp PARAMS: TR=0 TB=0
X26 Rn Rp NTC_BASE Params:
+ w=-15.431309395743
+ x=5337.10027599483
+ y=-267728.681013195
+ z=14375045.7126114
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-15.4313093957435
+ r25=100000
+ b=5337.10027599483
+ c=-267728.681013195
+ d=14375045.7126114
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3103_MT RN Rp PARAMS: TR=0 TB=0
X27 Rn Rp NTC_BASE Params:
+ w=-13.409568891799
+ x=4481.79886463418
+ y=-150521.691593129
+ z=1877102.65189547
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-13.4095688917995
+ r25=10000
+ b=4481.79886463418
+ c=-150521.691593129
+ d=1877102.65189547
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3103_LT RN Rp PARAMS: TR=0 TB=0
X28 Rn Rp NTC_BASE Params:
+ w=-10.510144466257
+ x=2816.74879403825
+ y=172444.245970535
+ z=-23248305.132252
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-10.4528701153889
+ r25=10000
+ b=1363.9319167994
+ c=1013209.19138484
+ d=-146294479.644505
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0603E3103_HT RN Rp PARAMS: TR=0 TB=0
X29 Rn Rp NTC_BASE Params:
+ w=-12.34230403172
+ x=2881.2571585212
+ y=403597.734300555
+ z=-49342307.1774576
+ gth=0.0031 gth1 = 0.00002
+ cth=0.0081
+ a=-12.342304031723
+ r25=10000
+ b=2881.2571585212
+ c=403597.734300555
+ d=-49342307.1774576
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3683_HT RN Rp PARAMS: TR=0 TB=0
X30 Rn Rp NTC_BASE Params:
+ w=-15.267183107948
+ x=5530.5904679316
+ y=-366141.909196042
+ z=22167011.1133658
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-15.2671831079486
+ r25=68000
+ b=5530.5904679316
+ c=-366141.909196042
+ d=22167011.1133658
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3474_HT RN Rp PARAMS: TR=0 TB=0
X31 Rn Rp NTC_BASE Params:
+ w=-14.122042041123
+ x=4624.725
+ y=-98275
+ z=-7522357
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-14.1220420411236
+ r25=470000
+ b=4624.725
+ c=-98275
+ d=-7522357
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3473_XT RN Rp PARAMS: TR=0 TB=0
X32 Rn Rp NTC_BASE Params:
+ w=-12.34830154520
+ x=2375.04150212332
+ y=688294.134893528
+ z=-89066341.2521688
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-12.348301545201
+ r25=47000
+ b=2375.04150212332
+ c=688294.134893528
+ d=-89066341.2521688
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3472_MT RN Rp PARAMS: TR=0 TB=0
X33 Rn Rp NTC_BASE Params:
+ w=-11.68386745134
+ x=3044.58586381301
+ y=240138.301577552
+ z=-32576647.4955603
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.015
+ a=-11.683867451346
+ r25=4700
+ b=3044.58586381301
+ c=240138.301577552
+ d=-32576647.4955603
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3333_MT RN Rp PARAMS: TR=0 TB=0
X34 Rn Rp NTC_BASE Params:
+ w=-14.324933144520
+ x=5143.94984985209
+ y=-314375.102305495
+ z=16129553.9022413
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-14.3249331445202
+ r25=33000
+ b=5143.94984985209
+ c=-314375.102305495
+ d=16129553.9022413
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3223_MT RN Rp PARAMS: TR=0 TB=0
X35 Rn Rp NTC_BASE Params:
+ w=-13.142378763615
+ x=4210.13465565959
+ y=-50179.4939878696
+ z=-10972255.5701807
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-13.1423787636159
+ r25=22000
+ b=4210.13465565959
+ c=-50179.4939878696
+ d=-10972255.5701807
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3214_MT RN Rp PARAMS: TR=0 TB=0
X36 Rn Rp NTC_BASE Params:
+ w=-13.633890559134
+ x=4624.07407976041
+ y=-162624.034923012
+ z=-1216588.60209115
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-13.6338905591344
+ r25=210000
+ b=4624.07407976041
+ c=-162624.034923012
+ d=-1216588.60209115
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3153_HT RN Rp PARAMS: TR=0 TB=0
X37 Rn Rp NTC_BASE Params:
+ w=-11.92142256195
+ x=2506.80663963102
+ y=510855.08547963
+ z=-59189761.3953198
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-11.921422561955
+ r25=15000
+ b=2506.80663963102
+ c=510855.08547963
+ d=-59189761.3953198
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3104_HT RN Rp PARAMS: TR=0 TB=0
X38 Rn Rp NTC_BASE Params:
+ w=-14.543162756715
+ x=4764.8434748393
+ y=-115334.436689962
+ z=-3730492.72657145
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-14.5431627567158
+ r25=100000
+ b=4764.8434748393
+ c=-115334.436689962
+ d=-3730492.72657145
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3103_LT RN Rp PARAMS: TR=0 TB=0
X39 Rn Rp NTC_BASE Params:
+ w=-12.071363419787
+ x=3503.9022352597
+ y=109390.795353269
+ z=-24154454.7403073
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-12.0713634197875
+ r25=10000
+ b=3503.9022352597
+ c=109390.795353269
+ d=-24154454.7403073
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3103_L1T RN Rp PARAMS: TR=0 TB=0
X114 Rn Rp NTC_BASE Params:
+ w=-11.1423334705573
+ x=2844.16925014123
+ y=241416.837060782
+ z=-29494710.26406
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-11.1423334705573
+ r25=10000
+ b=2844.16925014123
+ c=241416.837060782
+ d=-29494710.26406
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCS0402E3103_HT RN Rp PARAMS: TR=0 TB=0
X40 Rn Rp NTC_BASE Params:
+ w=-11.816831376457
+ x=2488.92228440514
+ y=495163.925955402
+ z=-55693680.8539762
+ gth=0.0023 gth1 = 0.0000133
+ cth=0.0042
+ a=-11.8168313764576
+ r25=10000
+ b=2488.92228440514
+ c=495163.925955402
+ d=-55693680.8539762
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3303_HB0 RN Rp PARAMS: TR=0 TB=0
X41 Rn Rp NTC_BASE Params:
+ w=-14.5513561
+ x=4752.725
+ y=-98275
+ z=-7522357
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-14.55135614
+ r25=30000
+ b=4752.725
+ c=-98275
+ d=-7522357
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3212_MB0 RN Rp PARAMS: TR=0 TB=0
X42 Rn Rp NTC_BASE Params:
+ w=-12.002581720610
+ x=3670.667
+ y=-7617.13
+ z=-5914730
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-21.0133817206104
+ r25=2100
+ b=11886.95
+ c=-2504699
+ d=247033800
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3123_MB0 RN Rp PARAMS: TR=0 TB=0
X43 Rn Rp NTC_BASE Params:
+ w=-13.8973229
+ x=4557.725
+ y=-98275
+ z=-7522357
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-13.89732294
+ r25=12000
+ b=4557.725
+ c=-98275
+ d=-7522357
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3104_XB0 RN Rp PARAMS: TR=0 TB=0
X44 Rn Rp NTC_BASE Params:
+ w=-16.0349060
+ x=5459.339
+ y=-191141
+ z=-3328322
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-16.03490603
+ r25=100000
+ b=5459.339
+ c=-191141
+ d=-3328322
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3103_LB0 RN Rp PARAMS: TR=0 TB=0
X45 Rn Rp NTC_BASE Params:
+ w=-12.8922832
+ x=4245.148
+ y=-87493
+ z=-9588114
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-12.89228328
+ r25=10000
+ b=4245.148
+ c=-87493
+ d=-9588114
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE213E3103_HB0 RN Rp PARAMS: TR=0 TB=0
X46 Rn Rp NTC_BASE Params:
+ w=-14.6571976
+ x=4798.842
+ y=-115334
+ z=-3730535
+ gth=0.0022 gth1 = 0.0000033
+ cth=0.018
+ a=-14.65719769
+ r25=10000
+ b=4798.842
+ c=-115334
+ d=-3730535
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3683_B0 RN Rp PARAMS: TR=0 TB=0
X47 Rn Rp NTC_BASE Params:
+ w=-16.0349060
+ x=5459.339
+ y=-191141
+ z=-3328322
+ gth=0.0025 gth1 = 0.0000033
+ cth=0.028
+ a=-16.03490603
+ r25=68000
+ b=5459.339
+ c=-191141
+ d=-3328322
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3502SB0 RN Rp PARAMS: TR=0 TB=0
X48 Rn Rp NTC_BASE Params:
+ w=-14.6571976
+ x=4798.842
+ y=-115334
+ z=-3730535
+ gth=0.0032 gth1 = 0.0000167
+ cth=0.032
+ a=-14.65719769
+ r25=5000
+ b=4798.842
+ c=-115334
+ d=-3730535
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3502_B0 RN Rp PARAMS: TR=0 TB=0
X49 Rn Rp NTC_BASE Params:
+ w=-14.633719574957
+ x=4791.842
+ y=-115334
+ z=-3730535
+ gth=0.0025 gth1 = 0.0000167
+ cth=0.028
+ a=-14.6337195749572
+ r25=5000
+ b=4791.842
+ c=-115334
+ d=-3730535
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3474_B0 RN Rp PARAMS: TR=0 TB=0
X50 Rn Rp NTC_BASE Params:
+ w=-17.643882
+ x=6022.726
+ y=-203157
+ z=-7183526
+ gth=0.0025 gth1 = 0.0000167
+ cth=0.028
+ a=-17.6438824
+ r25=470000
+ b=6022.726
+ c=-203157
+ d=-7183526
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3473_B0 RN Rp PARAMS: TR=0 TB=0
X51 Rn Rp NTC_BASE Params:
+ w=-15.5321559
+ x=5229.973
+ y=-160451
+ z=-5414091
+ gth=0.0025 gth1 = 0.0000167
+ cth=0.028
+ a=-15.53215593
+ r25=47000
+ b=5229.973
+ c=-160451
+ d=-5414091
+ T0=273.15
+ TOLR=TR
+ TOLB=TB
.ENDS
*$
.SUBCKT NTCLE203E3472_B0 RN Rp PARAMS: TR=0 TB=0
X52 Rn Rp NTC_BASE Params:
+ w=-14.633719574957
+ x=4791.842
+ y=-115334
+ z=-3730535
+ gth=0.0025 gth1 = 0.0000167
+ cth=0.028
+ a=-14.6337195749572
+ r25=4700
+ b=4791.842
+ c=-115334
+ d=-3730535
+ T0=273.15
...
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