Endress and Hauser GmbH and Co FMR6XET ユーザーズマニュアル

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Micropilot FMR62
8
V. 4, Rev. 2, 19-03-2018
Endress+Hauser
Function and system design
Measuring principle
The Micropilot is a "downward-looking" measuring system, operating based on the frequency
modulated continuous wave method (FMCW). The antenna emits an electromagnetic wave at a
continuously varying frequency. This wave is reflected by the product and received again by the
antenna.
D
R
  A0032017
 1
FMCW principle: transmission and reflection of the continuous wave
R
Reference point of measurement
D
Distance between reference point and product surface
The frequency of this wave is modulated in the form of a sawtooth signal between two limit
frequencies f
1
 and f
2
:
f
t
1
2
f
2
f
1
∆t
∆f
  A0023771
 2
FMCW principle: result of frequency modulation
1
Transmitted signal
2
Received signal
This results in the following difference frequency at any time between the transmitted signal and the
received signal:
Δf = k Δt
where Δt is the run time and k is the specified increase in frequency modulation.
Δt is given by the distance D between the reference point R and the product surface:
D = (c Δt) / 2
where c is the speed of propagation of the wave.
In summary, D can be calculated from the measured difference frequency ΔfD is then used to
determine the content of the tank or silo.