ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...

4. MODELING OF PROPOSED DVR Mustafa İNCİ
Then, the last statement of e(t) can be written as
e t)
= u ( t)
− µ t
(4.29)
(
2
A (t) can be expressed as
∫
A ( t ) = e ( t ) . s inθ
( t ). K . A
dt
(4.30)
In (5.30),
is assumed as a constant due to the value at the instant t
that is equal to that of the instance (t-1). Hence, the final statement of (4.32) is given
in the following equations:
A ( t ) = ∫ e ( t ) .sin θ ( t −1).
K . A
dt
(4.31)
Considering that sin θ ( t −1)
= µ
1
and substituting e (t)
into A (t)
, A (t)
can be
rewritten as
A ( t)
= µ
1.
K
A ∫[ u ( t)
− µ
2t]dt
.
(4.32)
the input signal u ( t)
= u.sin ( wt + α)
and A (t)
is organized as follows:
A ( t)
= µ
1.
K
A ∫[ u sin(wt
+ α)
− µ
2t]dt
.
(4.33)
µ
1.
K
A
. u cos( wt + α)
µ
1µ
2K
A 2
= −
−
(4.34)
A ( t)
t
w
2
The speed of the response is determined by parameters K and
. Rate of
convergence is increased by increasing K and
. Thus, these two parameters
63