Hung, P. C. and Irwin, G. and Kee, R. and McLoone, S.
Difference equation approach to two-thermocouple sensor characterization
in constant velocity flow environments.
Review of Scientific Instruments, 76.
Thermocouples are one of the most popular devices for temperature measurement due to their
robustness, ease of manufacture and installation, and low cost. However, when used in certain harsh
environments, for example, in combustion systems and engine exhausts, large wire diameters are
required, and consequently the measurement bandwidth is reduced. This article discusses a software
compensation technique to address the loss of high frequency fluctuations based on measurements
from two thermocouples. In particular, a difference equation sDEd approach is proposed and
compared with existing methods both in simulation and on experimental test rig data with constant
flow velocity. It is found that the DE algorithm, combined with the use of generalized total least
squares for parameter identification, provides better performance in terms of time constant
estimation without any a priori assumption on the time constant ratios of the thermocouples.
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