19.5. DIFFERENTIAL PRESSURE TRANSMITTERS |
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“high” port connects to the process vessel and the “low” port is always vented to atmosphere by virtue of a special flange on the instrument) as a vacuum instrument. If a gauge pressure transmitter is given a negative calibration span, any decreasing pressure seen at the “high” port will yield an increasing output signal.
19.5.3Inferential measurement applications
A very common technique in industrial instrumentation is to calculate the value of a process variable from the values of related variables which are easier to measure17. As it so happens, there are a host of variables which one may infer from readings of di erential pressure. This makes DP transmitters very versatile devices, not just limited to measuring process variables of pressure and vacuum. This portion of the book will explore some of the more common inferred measurements possible with DP instruments.
17Truth be told, most process variables are inferred rather than directly measured. Even pressure, which is being used here to infer measurements such as liquid level and fluid flow, is itself inferred from some other variable inside the DP instrument (e.g. capacitance, strain gauge resistance, resonant frequency)!
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CHAPTER 19. CONTINUOUS PRESSURE MEASUREMENT |
Inferring liquid level
Liquids generate pressure proportional to height (depth) due to their weight. The pressure generated by a vertical column of liquid is proportional to the column height (h), and liquid’s mass density (ρ), and the acceleration of gravity (g):
P = ρgh
Knowing this, we may use a DP transmitter as a liquid level-sensing device if we know the density of the liquid remains fairly constant18:
(vent)
Liquid storage vessel
Isolation |
Level signal |
valve |
|
H |
L |
(vent)
As liquid level in the vessel increases, the amount of hydrostatic pressure applied to the transmitter’s “high” port increases in direct proportion. The width of the vessel is irrelevant to the amount of pressure produced – only the liquid height (h), density (ρ), and Earth’s gravity (g) are significant. Thus, the transmitter’s increasing signal represents the height of liquid inside the vessel, no matter the size or shape of the vessel:
h = ρgP
18We simply assume Earth’s gravitational acceleration (g) to be constant as well.
19.5. DIFFERENTIAL PRESSURE TRANSMITTERS |
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This simple technique works even if the vessel is under pressure from a gas or a vapor (rather than being vented as was the case in the previous example). All we need to do to compensate for this other pressure is to connect the DP transmitter’s “low” port to the top of the vessel so it senses nothing but the gas pressure:
Isolation
valve
Liquid storage vessel (pressurized)
Isolation |
Level signal |
valve |
|
H |
L |
Since the transmitter responds only to di erences of pressure between its two sensing ports, and the only cause for a di erence of pressure in this application will be pressure generated by the height of a liquid column, the transmitter’s signal becomes an exclusive representation of liquid level in the vessel, rejecting potential measurement errors caused by changes in gas pressure within the vessel. Any gas pressure within the vessel will be sensed equally by both ports on the transmitter as a “common-mode” pressure, thus canceling each other and having no e ect on the di erential pressure measurement. Only changes in liquid level within the vessel will cause the “high” port pressure to change independently of the “low” port pressure, changing the transmitter’s output signal.