Course code:
Course name:
F1502
Modeling of dynamic systems
Exercise 10: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in linearizing dynamic models.
1
Problem
The following models should be linearized. In every case, refer t

Exercise 10
Problem 1.1
dh 1
(Vv Vc Vo );
dt A
dc A
1
1
Vc c A0
(Vc Vv ) c A k c A ;
dt
A h
A h
pc p0
Vc K vc uc
;
Vo K vo u L g h ;
uc
K c (c Ar
c A );
uL
K L (h hr );
Let x (h, c A ), u (Vv , c A0 , pc , hr , c Ar )
dx
dt
1
(Vv
A
f ( x, u )
K vc K c (c

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 7: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in solving dynamic models using
Matlab.
Problem
One or two of the followin

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 8: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in solving dynamic models using
Matlab, (2) analyze nonlinear model throug

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 9: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in analyzing linear dynamic models.
Problem
The following models should be

Exercise 10
Problem 1.1
dh 1 & & &
(Vv Vc Vo );
dt A
dc A
1
1
&
& A0
Vc c
(& Vv ) c k c A
Vc
;
A
dt
A h
A
h
p p0
&
& K
Vc K vc uc c
;
Vo vo uL h ;
g
uc K c (c Ar c A );
u L K L h r );
( h
&
Let x (h, c A ), u (Vv , c A0 , pc , hr , c Ar )
p p0
1 &
(

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 6: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in using the mass balance, and (2)
give experience in the use of the energ

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 5: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in using the mass balance, and (2)
give experience in the use of the energ

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 3: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in using mass and mole balances,
(2) give understanding of the state space

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 1: Problems
Aim of exercise: The aim of the exercise is to drill the student in important mathematical techniques
that are used throughout the course Mod

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 4: Problems
Aim of exercise: The aim of the exercise is to (1) give experience in using the mass balance, and (2)
give experience in the use of the momen

Course code:
Course name:
Topic:
FM1006
Modelling and Simulation of Dynamic Systems
Modeling
Exercise 2: Problems
Aim of exercise: The aim of the exercise is to (1) get aquainted with the energy balance, (2) give an
understanding of what is meant by state