Problem 1 - Simple UI Core Analyiss
Dimensions, etc
2
3
cm := 1 10
mm := 1.0 10
w := 1 cm
d s := 2 cm
g := 1.5 mm
ws := 5 cm
d := 5 cm
N := 100
B sat := 1.5
Point where saturation occurs
7
u 0 := 4 10
Now let's compute some reluctances. For flux densities
Fall 2010
ECE 321 Homework Set 3
Due Wed. Sept. 29
Work on separate sheets of paper. Must be turned in at beginning of class. First page blank with only your name and should be stapled. Homework will be collected promptly at 2:30. If not submitted in time
Lecture Set 0
ECE321/ECE595
Electromechanical Motion Devices/
Electromechanics
S.D. Sudhoff
Spring 2013
Courses Meeting Together
Courses
ECE321 Live cfw_321L
ECE321 Video cfw_321V
ECE595 On Campus (Live and Video) cfw_595C
ECE595 Off Campus Pro Ed cfw_59
Homework 1, Problem 1
Let the elements of the vector correspond to the x, y, and z components
1
H := 0
0
Now
1
Point1 := 1
1
2
Point2 := 5
1
Since the H-field is constant
Point2
H dl = H ( Point2 Point1)
Point1
Thus the MMF drop is given by
T
H (
EE321 Spring 10
Homework 1
Problem 1 Review of line-integral and application to MMF drop.
Consider a Cartesian co-ordinate system (x,y,z). Suppose a uniform H-field of 1 A/m
exists in the direction of the x-axis. Calculate the MMF drop from the point (1,1
EE321, Spring 2013
Homework 4
Problem 1
1
2
Wc = 5 + 2 sin 4 rm i
2
(
(
(
)
Te = 4 cos 4 rm i
)
2
Problem 2
We may express the system as
1
2
7
5
2
5 + x i1
=
7
i
2 2
2
5+x
which is of the form
i
1
= L 1
2
i2
where L is independent of both c
EE321 Spring 2008 / Homework 9
Problem 37 Discrete winding function
The number of conductors in each slot of the a-phase of the stator of the machine
are as follows:
N as = [10 20 20 10 10 20 20 10 10 20 20 10 10 20 20 10]T
Compute and graph the winding f
EE321 Spring 08 HW8
Problem 33
Buck Converter Operation
Consider a machine with the following parameters:
ra := 0.1
k v := 0.2
The machine is fed using a buck converter with the following parameters
v fsw := 2.4
v fd := 2.0
v dc := 150
d := 0.7
The machin
Homework 1, Problem 1
Let the elements of the vector correspond to the x, y, and z components
1
H := 0
0
Now
1
Point1 := 1
1
5
Point2 := 2
1
Since the H-field is constant
Point2
H dl = H ( Point2 Point1)
Point1
Thus the MMF drop is given by
T
H (
EE321 Spring 2013
Homework 4
Problem 1 Calculation of Torque
The flux-linkage of a certain rotational electromechanical device may be
expressed
= (5 + 2sin 4 rm )i
where rm is the rotor position and i is the current. What is the electromagnetic torque ?
ECE321/ECE595 Spring 2013 HW#9
Problem 1
(
)
(
)
was = 100 cos 4 s
wbs = 250 sin 4 s
ias = 10 cos e t +
B = 1.2 cos e t +
8
8
4 s
7
0 := 4 10
Expanding B we have
B = 1.2 cos e t +
Also
B=
F=
F
g
0
g
0
B
cos( 4 s) + 1.2 sin e t + 8 sin( 4 s)
8
Finally
F
EE321 Spring 2012
Homework 1
Problem 1 Review of line-integral and application to MMF drop.
Consider a Cartesian co-ordinate system (x,y,z). Suppose a uniform H-field of 1 A/m
exists in the direction of the x-axis. Calculate the MMF drop from the point (1
EE321 Spring 2010
Homework 4
Problem 1 Calculation of Torque
The flux-linkage of a certain rotational electromechanical device may be
expressed
= (5 + 2 sin 4 rm )i
where rm is the rotor position and i is the current. What is the electromagnetic torque ?
ECE321/ECE595 Spring 2012
Homework 6
Problem 1 Permanent Magnet DC Machine
A permanent magnet dc machine has ra = 8 and kv = 0.01 Vs/rad. The shaft load torque is
approximated as TL = Kr, where K = 510-6 Nms. The applied voltage is 6 V and Bm = 0.
Calcula
EE321 Spring 2008 / Homework 8
Problem 33 Buck converter operation
Consider the example on page 11 of the lecture notes. Suppose the dc voltage is
changed to 150 V and the speed to 450 rad/s. Find the average armature current, the
average switch current,
EE321 Spring 2010
Homework 3
Problem 1 UI Inductor Analysis
Consider the UI inductor design we did in class. Recall we had
N = 260 Turns
d = 8.4857 cm
g = 13.069 mm
w = 1.813 cm
aw = 21.5181 mm2
ds = 8.94 cm
ws = 8.94 cm
In our design, we assumed that the
Problem 1 - Simple UI Core Analyiss
Dimensions, etc
2
3
cm := 1 10
mm := 1.0 10
w := 1 cm
d s := 2 cm
g := 1.5 mm
ws := 5 cm
d := 5 cm
N := 100
B sat := 1.3
Point where saturation occurs
7
u 0 := 4 10
Now let's compute some reluctances. For flux densities
EE321. ABET Exam
Spring 2004
Name:
Student ID:
Instructions:
Work ALL Problems. When you have completed exam, turn in to Professor Sudhoff,
Brandon Cassimere, or Brant Cassimere, any of whom will check it on the spot, and let
you know which ones are wrong
Lecture Set 0
ECE321/ECE595
S.D. Sudhoff
Electromechanical Motion Devices
Spring 2012
Courses Meeting Together
Courses
ECE321 Live (57) cfw_321L
ECE321 Video (9) cfw_321V
ECE595 On Campus (3) cfw_595C
ECE595 Off Campus Pro Ed (11) cfw_595P
Differences
321
EE321 Spring 2013
Homework #11
Problem 1
Machine Parameters
rs := 3
m := 0.17
3
Lss := 10 10
N := 3
P := 4
Load
2
r P
TL( r) := 2
250
2.3
Source
vs := 100
v := 0
vq :=
()
2 vs cos v
()
vd := 2 vs sin v
Ok - lets solve the problem
(
)
rs vq r m r Ls
EE321 Spring 2013
Homework 11
Problem 1 Brushless DC Operation from a Voltage Source
A three phase brushless DC machine has the following parameters: rs = 3 , Lss = 10 mH,
m = 0.17 Vs, P = 4 . It is operating from an inverter and the control is such that
EE321 Spring 2013
Homework 10
Problem 1 Phase Inductance
Suppose the winding function of a-phase of the stator is given by
was =
2
P
N s cos sm
P
2
and the winding function of the b-phase of the rotor is given by
wbr =
2
P
N r sin rm
P
2
Express the mut
EE321 Spring 2013
HW#10
Problem 1
Lasar =
r L 0
2
2
Ns Nr
P
g
2
P
P
P
cos sm sin sm rm dsm
2
2
2
0
Lasar =
r L 0
2
Ns Nr
P
2
g
2
1
2
(
0
Lasar = 4 r L
0
2
g P
Lasar = 4 r L
()
1
Ns Nr sin r 2
2
0
2
g P
()
Ns Nr sin r
Problem 2
(
)
n as = 200 sin
EE321 Spring 2013
Homework 7
Problem 1 Buck converter operation
Consider the example on page 68 of the lecture notes. Suppose the dc voltage is
changed to 150 V and the speed to 400 rad/s. Find the average armature current, the
average switch current, the
EE321 Spring 2013 HW7
Problem 1
Buck Converter Operation
Consider a machine with the following parameters:
ra := 0.1
kv := 0.2
The machine is fed using a buck converter with the following parameters
vfsw := 2.4
vfd := 2.0
vdc := 150
d := 0.7
The machine i
EE321 Spring 2013, HW #6
Problem 1
ra := 6
kv := 0.01
6
K := 5 10
va := 6
kv ( va kv r)
ra
= K r
Set Te = Tl
va
r := kv
2
kv + K ra
r = 461.538
rad/s
Problem 2
ra := 10
Rf := 50
LAF := 0.5
Va := 30
Vf := 30
Part 1 - Stall Torque
i f :=
i a :=
Vf
Rf
Va
ra
EE321 Spring 2013
Homework 5
Problem 1 Torque Versus Position Trajectory
Consider the torque versus position characteristics of a VR stepper shown below.
Initialize the c-phase is energized and the position is as indicated (point 1). Then the
position is
EE321, Homework 3
Problem 1
From minimum cost solution in class
N := 260
2
d := 8.4857 10
2
d s := 8.94 10
ws := 8.94 10
3
i := 40
3
g := 13.069 10
Ldes := 5 10
2
2
w := 1.813 10
7
0 := 4 10
r := 2000
Recomputing the reluctance
R :=
2 ( ws + 2w) + 2d s
2