The formulas used to calculate boiler drum level transmitter are:

At Hmin, The Transmitter output will be 4ma

∆Pmin or 4ma = [H(Ds-Do)+Hmin(Dw-Ds)] Do

At Hmax, The Transmitter output will be 20ma

∆Pmax or 20ma = [H(Ds-Do)+Hmax(Dw-Ds)] Do

Where,

P0 = Static pressure in the steam drum at the top tap

Ds= Density of saturated steam at operating conditions

Dw = Density of saturated water at operating conditions

Do = Density of water in the “wet” or reference leg

H = Distance between the high and low drum taps

Hmax = Maximum water level allowed (measured from the bottom tap)

Hmin = Minimum water level allowed (measured from the bottom tap)

To perform the calibration, use a table of thermodynamic properties of steam and the following steps:

1. Determine hmin and hmax. These are the minimum and maximum water levels allowed for safe operation of the boiler. They are measured from the bottom tap of the steam drum.

2. Using the saturated steam tables, find the values of and at the drum operating pressure. Use the value for compressed water in the reference (wet) leg at the expected ambient temperature and the drum operating pressure. If the compressed water table is not available, use the reciprocal of the specific volume of saturated water at the ambient temperature. Since water is nearly incompressible, this provides reasonable accuracy for the drum measurement.

3. For this example assume:

The inside diameter of the steam drum is 60 in.

H = 33 in. (83.82 cm)

Po = 2,425 psig (design operating pressure)

Tambient = 105 °F (41 °C)

Hmin = 1.5 in. (3.81 cm)

Hmax = 31.5 in. (80.01 cm)

The desired level readout is –15 to 15 in. (a standard indicator faceplate range)

4. Solve the equation:

a. The specific volume of the saturated water at 2,425 psig is 0.02817 ft3/lb

Then Density of water is Dw = 1/specific volume of saturated water = 35.49 ft/lb3

b. The specific volume of the saturated steam at 2,425 psig is 0.1364 ft3/lb

Then Density of water is Dw = 1/specific volume of saturated water = 7.33 ft/lb3

c. The specific volume of the saturated water at 105 F temperature is 0.01615 ft3/lb

Then Density of water is Dw = 1/specific volume of saturated water = 61.93 ft/lb3

5. Now substitute all the values in the above formulas and calculate transmitter 4 ma and 20 ma equivalent DP ranges.

Finally, check the zero elevation and span against the transmitter specifications to ensure the selected transmitter can be calibrated to the required values