Silicon bandgap temperature sensor

From Wikipedia, the free encyclopedia

Jump to: navigation, search

The silicon bandgap temperature sensor is an extremely common form of temperature sensor (thermometer) used in electronic equipment. Its main advantage is that it can be included in a silicon integrated circuit at very low cost. The principle of the sensor is that the forward voltage of a silicon diode is temperature-dependent, according to the following equation:

V_{BE}=V_{G0}\left(1-{\frac{T}{T_0}}\right)+V_{BE0}\left(\frac{T}{T_0}\right)+
    \left(\frac{nKT}{q}\right)\ln\left(\frac{T_0}{T}\right)+
    \left(\frac{KT}{q}\right)\ln\left(\frac{I_C}{I_{C0}}\right) \,

where

T = temperature in kelvins
T0 = reference temperature
VG0 = bandgap voltage at absolute zero
VBE0 = bandgap voltage at temperature T0 and current IC0
K = Boltzmann's constant
q = charge on an electron
n = a device-dependent constant

By comparing the bandgap voltages at two different currents, IC1 and IC2, many of the variables in the above equation can be eliminated, resulting in the relationship:

\Delta V_{BE}=\frac{KT}{q}\cdot\ln\left(\frac{I_{C1}}{I_{C2}}\right) \,

An electronic circuit, such as the Brokaw bandgap reference, that measures ΔVBE can therefore be used to calculate the temperature of the diode. The result remains valid up to about 200 °C to 250 °C, when leakage currents become large enough to corrupt the measurement. Above these temperatures, materials such as silicon carbide can be used instead of silicon.

[edit] References

  • R. J. Widlar (Jan 1967). "An exact expression for the thermal variation of the emitter base voltage of bi-polar transistors". Proceedings of the IEEE 55 (1): 96-97. 

[edit] External links