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Electrical Engineering
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Dec 6, 2023
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Quiz_07
Review
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Quiz_07
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Jayraj
Manishkumar
Pandya
Course
Adv.
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Quiz_07
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https://blackboard.uwindsor.ca/webapps/assessment/review/review.jsp?attempt_id=_
10210142
_1&course
_id=_
165126
1&content_id=
2142089
1&o...
1/5
12/16/22,
9:15
AM
Review
Test
Submission:
Quiz_07
—
ELEC8900-30-R-2022F
...
Refer
to
the
ECM,
Figure
(4)
of
a
battery.
Given
that
a
constant
current
i(k)
=
1A
is
applied
to
the
battery
and
the
resulting
terminal
voltage
v(k)
is
measured
2
consecutive
times,
the
measured
voltages
v(1),v(2)
are
given
by
3.909V,
3.993V
respectively.
Then,
the
current
is
changed
to
i(k)
=
2A
and
the
resulting
terminal
voltage
v(k)
is
measured
2
consecutive
times.
The
measured
voltages
v(3),v(4)
are
given
by
4.099V,
4.202V
respectively.
Use
the
least
squares
estimation
approach
to
estimate
the
internal
voltage
E(k)
and
internal
resistance
I,
of
the
battery.
Assume
that
E
and
R,
remain
constant
through
this
process.
AW
—
EMFf
v(k)
Figure
4:
Equivalent
Circuit
Model
of
a
battery
Selected
Answer:
¢
E
=
3.8705V,Ro
=
0.165Q
Answers:
&
E
=
3.7515V,Ro
=
0.1995Q
E
=
3.8905V,Ro
=
0.145Q
E
=
3.8705V,Ro
=
0.165Q
E
=
3.6505V,Ro
=
0.130Q
Question
2
4
out
of
4
points
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Submission:
Quiz_07
—
ELEC8900-30-R-2022F
...
Ro
—i(k)
—
A
+
V;(s)+—__—'
v(k)
0
Figure
1:
Equivalent
circuit
model
of
a
battery.
The
open
circuit
voltage
of
the
battery
has
the
following
model:
Va(s)
=ko
+
kys™"
+
kos
™2
+
kas
>
+
kys™
+
kss
+
ke
In(s)
+
k7In(1
—
s)
(1)
where
k0
=
—9.0818,
k1
=
103.0870,
k2
=
—18.1846,
k3
=
2.0625,
k4
=
—0.1018,
k5
=
—76.6037,
k6
=
141.1994,
and
k7
=
—1.1168,
These
parameters
were
computed
for
SOC
values
s
€
[0,
1]
after
they
were
linearly
scaled
to
s’
€
[.175,.825].
The
internal
resistance
of
the
battery
is
Ry
=
0.2Q.
The
SOC
of
the
battery
is
50%,
i.e.,
s
=
0.5.
Compute
v(k)
when
the
current
through
the
battery
is
i(k)
=
0
A.
Selected
Answer:
@,
3.825V
Answers:;
4.016V
&
3.825V
3.752V
3.672V
Question
3
4
out
of
4
points
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