Appendix A-Reference Equations
First Order Systems
where parameter K is the gain of the system and is the time constant.
Second-order System
where K is the gain of the system, is the time constant, and is the damping factor.
First-order with Time Delay
wh
Abstract
The objective of this experiment is to determine the model parameters of a system
consisting of two series-connected first-order units. In this experiment, two water
tanks are connected in series and the level on each tank can be measured using t
Introduction
The hydraulic analogy was used in representing dynamic processes of first-order linear
differential equation. These are called single-capacity systems. The more complex processes
could then be treated as a combination of these single-capacity
Results & Discussion
Evaluation of the Time Constants
Using the experimental data from the step input in Part B, several methods of estimating the time
constant () were utilized and compared. First, the fractional change in the height of tank 1 was
plotte
Conclusions & Recommendations
When analyzing most dynamic engineering processes, these are treated as combinations of ideal
first order units in series. Throughout the course of this experiment, the practicality and
repeatability of this heuristic was tes
CBE 470 PROCESS DYNAMICS AND CONTROL
Basic Experiments in Process Dynamics and Simulation
Experiment 1D: Matlab Workshop
Coordinator: Matthew Ardagh
Partner: Yue Wu, Yufeng Cai
Date Performed: Mar 18th, 2013
Date Due: Apr 1st, 2013
Instructor: James B. Ra
Figure 4. Close-loop controller response with and without controller to a unit step change
in d. The system response with controller returned to the original steady state, whereas
the system response without controller attained offset.
Figure 5. Response
6
5
Three tank process reaction curve
first order with delay approximation
y (t )
4
3
2
1
0
0
10
20
30
40
50
60
70
80
90
time
Figure 2. Comparison of actual and approximate unit step responses for the three tank
system. The three tank reaction curve reach
CBE 470: PROCESS DYNAMICS AND CONTROL
Basic Exps in Process Dynamics and Simulation (1 ABC)
Experiment 1: Matlab Workshop
Coordinator: Matthew Ardagh
Partner: Yue Wu, Yufeng Cai
Date Performed: Feb 18th, 2013
Date Due: Feb 25th, 2013
Instructor: James B.
CBE 470: PROCESS DYNAMICS AND CONTROL
Experiments in Process Dynamics and Simulation (2)
Experiment 2: Water Tank System Response
Coordinator: Matthew Ardagh
Partner: Yue Wu, Yufeng Cai
Date Performed: Mar 4th, 2013
Date Due: Mar 11th, 2013
Instructor: Ja