LTC4098/LTC4098-1
APPLICATIONS INFORMATION
Solving these equations for RNTC|COLD and RNTC|HOT
results in the following:
RNTC|HOT = 0.536 • RNOM
and
RNTC|COLD = 3.25 • RNOM
By setting RNOM equal to R25, the previous equations
result in rHOT = 0.536 and rCOLD = 3.25. Referencing these
ratios to the Vishay Resistance-Temperature Curve 1 chart
gives a hot trip point of about 40°C and a cold trip point
of about 0°C. The difference between the hot and cold trip
points is approximately 40°C.
By using a bias resistor, RNOM, different in value from
R25, the hot and cold trip points can be moved in either
direction. The temperature span will change somewhat due
to the nonlinear behavior of the thermistor. The following
equations can be used to easily calculate a new value for
the bias resistor:
RNOM
=
rHOT
0.536
• R25
RNOM
=
rCOLD
3.25
•
R25
where rHOT and rCOLD are the resistance ratios at the
desired hot and cold trip points. Note that these equations
are linked. Therefore, only one of the two trip points can
be chosen, the other is determined by the default ratios
designed in the IC. Consider an example where a 60°C
hot trip point is desired.
From the Vishay curve 1 R-T characteristics, rHOT is 0.2488
at 60°C. Using the previous equation, RNOM should be set
to 46.4k. With this value of RNOM, the cold trip point is
about 16°C. Notice that the span is now 44°C rather than
the previous 40°C. This is due to the decrease in tem-
perature gain of the thermistor as absolute temperature
increases.
The upper and lower temperature trip points can be inde-
pendently programmed by using an additional bias resistor
as shown in Figure 9b. The following formulas can be used
to compute the values of RNOM and R1:
RNOM
=
rCOLD – rHOT
2.714
• R25
R1= 0.536 • RNOM – rHOT • R25
For example, to set the trip points to 0°C and 45°C with
a Vishay Curve 1 thermistor choose:
RNOM
=
3.266 – 0.4368
2.714
•
100k
=
104.2k
the nearest 1% value is 105k:
R1 = 0.536 • 105k – 0.4368 • 100k = 12.6k
the nearest 1% value is 12.7k. The final circuit is shown
in Figure 9b and results in an upper trip point of 45°C and
a lower trip point of 0°C.
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