Environmental Engineering Reference
In-Depth Information
P
pk
(kW)
105
Inverter #IGBT/sw
18
2,100 mm
2
Poles (
P
)
8
IGBT
S
sw
area
1,300 mm
2
PM flux linkage (
y
m
)
0.025 Wb-t
Diode
S
dio
area
Base speed (
n
b
)
4,500 rpm
Link filter cap
2,100
m
F, 750 V
0.7 m
W
at 80
C
dc link volts (
U
d
)
600 V
Link filter ESR
Stator iron mass (
M
s
)
18 kg
Stator phase res. (
R
ph
)
23
W
MG1 copper mass, (
M
Cu
)
6 kg
Stator voltage const. (
k
e
)
0.101 V
rms
/rad/s
Stator
d
-axis (
L
d
)
391
m
H
Stator
q
-axis (
L
q
)
145
m
H
Q1:
Apply (8.2) with coefficients noted,
B
s
= 1 T, and find we at
w
e
, then
determine the core loss power,
P
core
, using
k
core
= 1.5
10
5
W/kg.
1
:
5
¼
17
:
04
10
5
W
1
1
1884
:
9
2513
:
2
p
core
¼ð
1
:
5
10
5
A1:
Þð
18
Þ
Q2:
Calculate the stator copper loss at 160
C for the copper mass of MG1 as
given. Perform the loss calculation in the case of
I
s
= 450 A
dc
.
A2:
R
ph
(160) = (23
10
3
) (1 + 0.007(160-20)) = 45.54
m
W
P
Cu
= 1.5(45.54
10
3
)450
2
= 13.83
kW
Q3:
Given that WEG and ATF are used to cool the MG1 stator, and assuming the
friction and windage loss,
P
fric
= 300 W at
n
wot
= 14,000 rpm, calculate
the corresponding friction power loss at the base speed. Assume the power
law coefficient
a
= 1.7.
1
:
6
n
b
n
wot
A3:
P
fric
b
¼
P
fric
w
ot
¼
48
:
8
W
Q4:
Use (8.12), the peak phase current found in Q2,
I
s
= 450 A and find
E
ON
and
E
OFF
of the MG1 inverter IGBT power switch given that
U
d
= 500 V and
letting
t
r
= 0.5
m
s and
t
f
= 0.9
m
s.
A4:
E
ON
= 18.75
mJ
E
OFF
= 33.75
mJ
References
1. Allen J.W. Armco Inc. Research, personal discussions on specialty flat-
rolled steels, November 1997.
2. Atallah K., Zhu Z.Q., Howe D. 'An improved method for predicting iron
losses in brushless permanent magnet dc drives'.
IEEE Transactions on
Magnetics
, 1992, vol. 28, pp. 2997-99.
3. Armco Non-oriented electrical steel catalog. Available from www.tempel-
steel.com.
