principles measurement systems 4ed A liquid level sensor has

A liquid level sensor has an input range of 0 to 15 cm. Use the calibration results given in the table to estimate the maximum hysteresis as a percentage of f.s.d. The following results were obtained when a pressure transducer was tested in a laboratory under the following conditions: I Ambient temperature 20 degree C, supply voltage 10 V (standard) II Ambient temperature 20 degree C, supply voltage 12 V III Ambient temperature 25 degree C, supply voltage 10 V (a) Determine the values of K_M, K_i, a and K associated with the generalised model equation O = (K + K_M I_M) I + a + K_1 I_1. (b) Predict an output value when the input is 5 barg, V_s = 12 V and ambient temperature is 25 degree C.

Solution

From the above table Maximumu deviation=1.35

Maximum voltage output=10.2

The maximum hysteresis as a percentage of f.s.d.=(Maximumu deviation/Maximum voltage output)*100

=(1.35/10.2)*100=13.23%

Level h cm	0	1.5	3	4.5	6	7.5	9	10.5	12	13.5	15
Output volts h increasing	0	0.35	1.42	2.4	3.43	4.35	5.61	6.5	7.77	8.85	10.2
Output volts h decreasing	0.14	1.25	2.32	3.55	4.43	5.7	6.78	7.8	8.87	9.65	10.2
Deviation(Output volts h decreasing-Output volts h increasing)	0.14	0.9	0.9	1.15	1	1.35	1.17	1.3	1.1	0.8	0