INDUSTRIAL INSTRUMENTATION.

INDUSTRIAL INSTRUMENTATION
Author
Department
Institution
City, Country
Address
Part 1
The simplified milk pasteurizer using Visual
Paradigm online service is shown below.
Part 2 (a): First order Process Equation
A first order process has the transfer
function of the form:
P ( S ) = Y ( S )
U (S) = K
τs+1

Where K represents the DC gain and τ is the
time constant of the first order process.
From the given data, the ambient
temperature (initial temperature) is 19 °C
while the maximum (steady state)
temperature is 80 °C. Therefore, the DC gain
is approximately equal to:
K=80−19=61 °C
From the definition of time constant, we
know that it is the time required for the
temperature to rise to 63.2% of the final
value.
63.2 % of the final value=0.632 ( 61 °C ) +19 °C=57.552°C ≅
57.6 °C correspond to 1 second as shown in
the plot of the given data in figure 2. The
MATLAB script for plotting the temperature
against time in figure 1 is shown below.
%MATLAB plot of the experimental
data
time=[0:1:10];% Time array
temp=[19 57 69 73 75 77 78 79 79.6
79.8 80];%temperature array
plot(time,temp)% function for
plotting
grid('on')
xlabel('time (sec)')
ylabel('temperature (degrees C)')
title('Temperature Step Response')
legend('experiment','Location','Sout
hEast')
Figure 1: MATLAB plot of the data