HOMEWORK 07
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HOMEWORK 07 Modeling of Electromechanical Systems Problem 1: Problem 2: Motor DC Problem 3:
description
HOMEWORK 07. Modeling of Electromechanical Systems. Problem 1:. Problem 2:. Problem 3:. z 1. B y. 4. 3. J m , B m. J L. 2. 1. 2. +. V k. K 2. Motor . -. z 2. R a , L a. K i , K b. Problem 1:. Energy equations considered in example 7.1 are given below;. - PowerPoint PPT Presentation
Transcript of HOMEWORK 07
HOMEWORK 07
Modeling of Electromechanical Systems
Problem 1:
Problem 2:
MotorDC
Problem 3:
Problem 1:Energy equations considered in example 7.1 are given below;
Motor +-Vk
Jm , Bm
Ra , La
Ki , Kb
1 2 By
K2z2
z1
JL
3 4
22
mL22 )N(K21E
2aa1 qL
21E 2
mmJ21
2LLJ2
1
mmy2
myaimmambaak )BNB2qKB(q)KqRV(W
LLyB Input : Vk Generalized variables: qa, θm, θL
Establish the mathematical model of the system and organize in matrix form.Click for answer.
mbaakaa KqRVqL
my2
ymaim22
L2mm )BNB2B(qKKNNKJ
Lym2L2LL BNKKJ
Problem 2:
ax1
L)x(L 0
In the system shown above, core of inductor is movable and the change of inductance via x is given below. Establish the mathematical model of the system. x(t) ve q(t) are the generalized variables, Vk(t) is the input.
2021 q
)xa(aL
21xm
21E
2
2 kx21E xxbqqRqVW k
xbkxq)xa(
aL21xm 2
20
qRVq)xa(
aLqx)xa(
aLk
02
0
Click for answer.
L(x)q
Vk+- R
x(t)
mk
b
Problem 3:
In the electromechanical system fk(t) and Vk(t) are the inputs. q(t), x1(t) and x2(t) are the generalized variables. Establish the mathematical model of the system.
21
01
ax1
L)x(L
20
002 xd
dC)x(C
k00
20211122
12
20
21
2
20 Vq
dC)xd(q)RR(qxx
)xa(aL2q
)xa(aL
k2
1221
2
20
221212111 fqx)xa(
aLxkx)kk(xbxbxm
R2
L(x1)
q
Vk+- R1
m2
k2
b
k1
fk
x1
x2
C(x2)m1
0qdC21xkxkxbxbxm 2
0022122122
Click for answer.
