ÇUKUROVA UNIVERSITY INSTITUTE OF NATURAL AND APPLIED ...

4. MODELING OF PROPOSED DVR Mustafa İNCİ
• The synchronized fundamental component,
• The amplitude, A (t)
, of y (t)
• The phase angle θ (t)
, of y (t)
.
• The frequency deviation, ∆ ω (t)
;
• Time-derivatives of the amplitude, phase and frequency.
The error signal e(t)=u(t)-y(t) is the total distortion signal of the input and it
can be expressed as a continuous time (Teke et al., 2011).
∫
e ( t ) = u ( t ) − sinθ
( t ) e ( t ).sinθ
( t ). K . A
dt
(4.24)
Here, and , located at the right hand side of (1), are 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 (4.24) is given as
∫
e ( t ) = u ( t ) − sinθ
( t − 1) e ( t − 1).sinθ
( t − 1). K . A
dt
(4.25)
Considering that e(t-1) and sin(t-1) are constant, then
∫
e ( t)
= u ( t)
− e ( t −1)
sin
2 θ ( t −1).
K dt
(4.26)
A
If the constants are assumed as
sin θ ( t −1)
= µ
(4.27)
1
2
( µ
1
) . K
A 2
e (4.28)
2
( t −1)
sin
θ ( t −1).
K
A
= e ( t −1)
= µ
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