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D C34 ' ( C $ C $ F $ D $ E ! ' ( L $ D $ E $ C $ F Tensión [p.u]
1
Referencia
Portadora
0.5
0
−0.5
−1
Componente fundamental
Señal de salida
Tensión [p.u]
1
0.5
0
−0.5
−1
0
0.01
Tiempo [s]
0.02
D E &
*
O LH O
CJ
DI
1
0.9
0.8
Tensión [p.u]
0.7
0.6
0.5
0.4
0.3
0.2
0.1
50
650
750
850
1350 1450 1550 1650
Frecuencia [Hz]
D J ,
' *
O LH O CJ
, (# * 34 O
% &' O C
% &' O L
3D F4
, D E ' *
# O LH *
O JL " ' ' # O C *
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O *
O
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3D E4
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1 $% 9 ( *
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2ft - fRef
ft+ 2fRef
ft-2fRef
2ft- 3fRef
fRef
ft- 4fRef
ft
ft +4fRef
2ft - 5fRef
2ft + fRef
2ft+ 3fRef
2ft+ 5fRef
Frecuencia [Hz]
D K ,
#
' *
O LH O CJ
) D C , ( *
' )
D C ' ( T L , D G ( ' (
T L ( L (
' *
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D H ( '
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3D D4
O C D J G 3D J4
EC
Tensión [p.u]
ut
uRef
1
0.5
0
−0.5
−uRef
−1
Componente fundamental
Tensión [p.u]
1
Señal sintetizada
0.5
0
−0.5
−1
0
0.01
Tiempo [s]
0.02
D G &
*
O LH O
CJ
2ft-fRef
2ft - 3fRef
fRef
2ft-5fRef
2ft +fRef
2ft + 3fRef
2ft+5fRef
Frecuencia [Hz]
D H ,
#
' *
O LH O CJ
2 ) % 2 ( D C3
4 ' *
*
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D I34 ' ' EF
Referencia a
Referencia b
Portadora
Referencia c
1
(a)
0
−1
(b)
0.5
0
−0.5
(c)
0.5
0
−0.5
(d)
0.5
0
−0.5
(e)
1
0
−1
1
(f)
0
−1
1
(g)
0
−1
0
0.01
0.02
Tiempo [s]
D I , !M& *
34 ' *
5 34 5 4 5 4 5 4 5 *4 5 4 * # ( ' *
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D I3434 * # ( L # *
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ft + 2fRef
ft-2fRef
2ft + fRef
2ft+3fRef
2ft - 3fRef
fRef
ft+4fRef
ft- 4fRef
Frecuencia [Hz]
D CL ,
#
' *
O LH O CJ
&!! ) 1
(
: 0
A CIHH QKER
! * *
, ( QJLR
(
*
( F
34 O D Q T T R O 34 T ( 34
1
SA
a
0
Udc
2
1
N
SB
b
0
1
Udc
2
SC
c
0
D CC +( *
3D K4
EE
) D F ) (
, 2
C
C
L
L
L
C
L
C
20
L
C
C
C
L
L
L
C
2
L
L
L
C
C
C
L
C
L
KL
CFL
CHL
CFL
KL
L
L
C CFL D CC
( *
D CC H
) D F
) D F D CF34 (
KL ( 3 4 2 D CF34 ! ( # ( (
C
& O
C
½
! & T C
½ ¾
½
!! & T C
½ ¾
" !! " !!! & 3D G4
9 3D G4 O ! T !! T " !! " !!! O
3D H4
( EJ
III
II
Región 2
II
Región 1
Región 3
*
VII
IV
I
VIII
II
Región 4
Región 6
I
VII
I
V
VI
Región 5
" 6
+
D CF ) &
(
O ) D F D CF34 3D H4 F C F 3KL 4 3)4 O T
D L
D 3KL4
3)4
) (
+ O F 3)4
3D I4
3D CL4
O F 3KL )4
3D CC4
* - ' *
) D D
EK
) D D 2
(
2
ÎÁÁ
Á
ÁÁ
ÎÁÁÁ
ÁÁ
Á
ÎÁÁ
¼
¼
¼
) (
(
, . (
. ( E , CK
(
( *
QFKR QKJR ( . ( *
( ( , *
*
.. ( L - ( QJL JD KC KE KK KG KH KIR
++ " ' !$ ' !'! " ' #/
),$ !!'
' *
2 . (# EG
yRef
e
+
u
Regulador
inversor
+
Sistema eléctrico
y
-
D CD ,
. . (
( D CD ' % *
' *
* ' * ( ' , 3!+4 3)- 4 3
4 QCG JFR
( , ( . && 2
, ' ' *
(
' 2 # * (
. QCGR
O
3* *4 3* *4 + 3D CF4
D CE
, ( *
EH
yRef
u
error
+
-
-h
h
y
D CE i
5
+h
Ref
4
Corriente [A]
iRef−h
3
2
u/K
1
0
−1
0
0.001
0.002
0.003
0.004
0.005 0.006
Tiempo [s]
0.007
0.008
0.009
0.01
D CJ , O LJ (# , D CJ *
, *
'
( *
, ' *
*#
,. *
&
3&
!
4 6-.6- ( D CK ( O L QJD JF GLR 2 % , L % + L EI
fsw
yRef
+
u
error
y
Muestreador
bloqueador de
orden cero
D CK &
&&! .%' -.0
, ' ( *
- ( . !M& QJD EHR
34 O %34 T %34&
3D CD4
QGC GFR ( , *
, #
*
(
D CG !+ ' ' ' ( , #
2 ' *
D CH34 D CH34 >
*
(
! ( JL
Kp
yRef
+
u
error
Ki
y
D CG ,
!+
e(t)
u(t)
1
3Kp
Acción PI
2Kp
Sólo Proporcional
Kp
t
/
Ti
2T i
t
7
D CH !+ &&& % + '
% ) - 0
, ' 2 ( # # TC QGDR D CI 2 QC T - T - T - R*34 O Q!
T ! - T !- T T !$ -$ R34 3D CE4
- 2 *
. '
JC
yRef
error
+
-
u
y
D CI ,
*
. O Q*34 * 34R
3D CJ4
! . # /. O L
/34
' *
3D CK4 (
3D CK4
% &
%&
/. O FQ*34 * 34R /*34 O L
/34
/34
O L
3D CG4
2 ( *
# ' ' *
( D FL
9 3D CE4
*34 O *3 C4 *3 4 T !
34 T T !$ 3 4
3D CH4
*
*34 O * 34 . ' C
34 O Q* T *3 C4T T *3 4 ! 3 C4 !$ 3 4R 3D CI4
!
> 3D CI4 !
!$ 5 ( ' *
( ' QCGR
JF
y
y Ref
Error( k-1)
Error( k-2)
y
k-2
k-1
k
D FL ,(
OF
, ( *
QJF GE GJR ( *
+. !$ ' $ !'! ' , -$! '
2 #!$ $
! * ( ' *
2 D CD ( .
D FC ( ( * *
( #
# # F ( *
# , ( ( *
JD
U dc
2
iRef
error
+
-
L
Control
lineal
PCC
o
iF(t)
No lineal
us(t)
iF
-Udc
2
D FC ,( *
( . , ! . 3!4 ! 34 ( ' 34 ( D FF
( 34
& 34 O ' 34 34
&
3D FL4
.
( . &, ) -0
, &
3&4 O L *
, ( ( , .
& 34 O 34
&
3D FC4
JE
+
Udc
2
-
L
PCC
N
Udc
2
+
uinv (t)
iF(t)
us(t)
-
D FF *
( ( !
# (
T 34 O
O T U T 3 4
3 T 4 34 O U 3D FF4
3D FD4
U > 3D FF4 #
(
(
( ( D FD ! ( ! ( (
( #
*
: (
(
*
' ( ' JJ
iF
iF
t1
t 1+tsw
t
t1
+
t 1+tsw
t
+
D FD ,(
( &
* ! ( ' &,! .
, ( ( *
( # ' .
*
*
! D FE ( *
!+ *
( ' 3D FE4
' O 3 4 T 3 4&
3D FE4
, !+ '
( ( JK
Señal PWM
iRef
error
+
-
Udc
2
PI
uinv
+
-Udc
2
iF
Comparador
Señal
portadora
D FE !+ (
&,& , ' ' ( #
3D FL4 . 34 O 3' 34 3
34
3D FJ4
3D FJ4 *
QGKR O
( ½
( ½
' 3 T C4 O
F Q 3 T C4 34R 34 T 3 T C4 T 34
'
3D FK4
3D CG4 3 T C4 O 3 T C4
3D FG4
(
' 3 T C4 O
F Q 3 T C4 34R 34 T 3 T C4 T 34
'
3D FH4
2 ! T C
3 T C4 34
, ( 3!M&4 D FJ ( V' 34
JG
Tensión (V)
tup
uinv (k)
tk
tk+1
t
Tsw
D FJ ( ( T C ' 34 O V' 34 O ' 3 T C4
3D FH4 V' 34 O Q 34 34R T 34
3D FI4
9 . ( *
*
, * (
# ' ,
& 0 6
&00
, ( ( D FJ ( V' 34 O
3
4 O 3F 4
F
3D DL4
3D FI4 3D DL4 ( O
Q R T T F
3D DC4
JH
iF
iF
iRef
k
tup
iRef
Error
k+1
T sw
6
.
k
k+1
T sw
62.2
D FK 2 *
, D FK * *
D FK34 D FK34 , (
&00 , *
# +0 ",'" %#!"
, *
)* ( ( D FF , )*
, 2 *
*
JL " # ( FDL : JI
* FDL
34 O F 3CLL04 :
D
3D DF4
, ( * ! QFCR D
D
3D DD4
EHG I :
3D DE4
F ( 2 O JLL :
, + & , . # . ( &
U O C T F
F
9 3D DJ4 ( 3D DJ4
U O EDGH
3D DK4
3D DK4 * *
D FG
2 ( *
( 3 4 ( *
( , ( FL "
KL
fsw=5 kHz
f =10 kHz
7
sw
f =15 kHz
sw
6
f =20 kHz
5
F
sw
F
i (t+T )−i (t) [A]
sw
4
3
2
1
0
0
0.005
0.01
0.015
0.02
L [H]
0.025
0.03
0.035
0.04
D FG ,*
( ( * *
&3 4 %
2 * *
4 *% * IL , * ( ( *
*
34 O EJ 3CLL0 IL4 3D DG4
4 *% $ * J
G
*
* 34 O J3CLL04 G3CLL04 3D DH4
KC
$
! ( *
. 3D DI4 . *
U34 O 34 34
3D DI4
, ( ' *
3D EL4
C
U O Q 34 34R &
3D EL4
&3! ) *% +
' *
' 3D DG4 *
CL A"
( D FH &
> . # ( # D FH
! . U$) O FFH ( U O LIK - ( ( *
FL A" D FI ! ( . U$) O CCEH ( U O LEHD ( . JL W *
CL A"
KF
Tensión [V]
200
uinv
usa
iF
iRef
0
−200
Corriente [A]
5
0
−5
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D FH % &
*
O CL A"
Tensión [V]
200
uinv
usa
iF
iRef
0
−200
Corriente [A]
5
0
−5
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D FI % &
*
O FL A"
*% $ ! *
3D DH4 *
FL A"
KD
Tensión [V]
200
uinv
usa
iF
iRef
0
−200
Corriente [A]
4
2
0
−2
−4
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D DL % &
*
O FL A"
*
' *
( D DL , . U$) O CCF (
U O LEE &3& ) ) .
*
QEHR C . ' ( ! (
O LLLLK !+ ( ' ' *
CL A"
KE
Tensión [V]
200
uinv
usa
iF
iRef
0
−200
Corriente [A]
5
0
−5
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D DC % !+ *
O C O LLLLK O CL A"
*% , ( ' *
&
*
FL A" ( D DC , . ( U$) O LH ( U O LFDFG , D DF ( ( > &
!
*
*% $ , ( *
D DD !+ ' *
( *
> KJ
6
6
iRef
iF
4
4
2
2
Corriente [A]
Corriente [A]
iF
0
0
−2
−2
−4
−4
−6
0
0.002
0.004
0.006
0.008
0.01 0.012
Tiempo [s]
0.014
0.016
8 ( 8 !
0.018
0.02
iRef
−6
0
0.002
0.004
0.006
0.008
0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
8 ( 8 !
D DF % !+ ( uinv
Tensión [V]
200
usa
0
Corriente [A]
−200
iF
2
iRef
0
−2
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D DD % !+ *
O C O LLLLK O CL A"
*
&
FL A" ! . U$) O LHJIJ ( U O LFKLC KK
&3, -0
) +$0) 3D DC4 *
CL A"
*% D DE *
*
*
CL A"
&
FL A" !+ CL A" ( ) D E ! . U$) O LDJ ( U O LCKH , . *
( ! *
( u
Tensión [V]
u
inv
200
sa
0
−200
Corriente [A]
5
i
F
i
Ref
0
−5
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D DE % *
O CL A"
KG
) D E ( *
*
!$) "#$
%
%
&
! "#$
%
'
(%
Tensión [V]
200
uinv
usa
iF
iRef
0
Corriente [A]
−200
2
0
−2
0
0.002
0.004
0.006
0.008 0.01 0.012
Tiempo [s]
0.014
0.016
0.018
0.02
D DJ % *
O CL A"
*% $ *
' *
* ( D DJ ) ) D J &
!+
D DK ( ' *
, O DL CJ (
' O KL *
*
KH
) D J ( *
*
!$) "#$
%&)&
('
! "#$
(
)%
8
iF
i
6
Ref
Corriente [A]
4
2
0
−2
−4
−6
−8
0
0.01
0.02
0.03
0.04
Tiempo [s]
0.05
0.06
0.07
0.08
D DK % *
O CL A"
- ( *
'
*
, . * &
, G O KL .
LK *
( 3D DK4 ( FL " ( ;
( KI
(
+3 1 ""
, # * # ( ( . 2 * ( , #
( . *
, ( !+ *
( *
( ! *
, ( ! (
*
. ( 2 ( &
2 *
, !+ &
" + $ $
/
, ' $ /
, , , $ ,
$ /
, , , - ) $
$ $ - $ - GD
. !$'' "
, *#
' # *
' ( # # #
2 * 5 *
QGG GH GI HL
HC HFR *
# FL QGGR # #
*#
, ) E C # ' ) E C ! *
+
#,
-
.
-
-
)'
.
/
"%$
.0
)
*
-
/
"%$
11
)&
*
-
/
"%&$
. )(
*
-
/
"%&$
)%2 )%% .
/ 0 */
"%($
#3
)%
*
-
*/
"&$
4
-
))
*
-
/
"%'$
56
0 ))& 0 ))( *
-
*/
"%%2 %)$
( ( 0 CIFG ( 3 4 ( 3 4 314 ( (
9&2,,&.4
GE
Red
eléctrica
pp
pp +pq
Carga
perturbadora
pq
Compensador
E C 0
! ( ( ( ,
( # #
*
( 34 O 34 T 34
3E C4
( (
(
( 34 O 34
3E F4
E C - *
, *# (
( ( " : GJ
* # *
*
# *
.& %# " )"' $" !1" ' !(4 5
,66$4 ( # )!7
, # ( * ( , ( ,! "45
, # * *
QHER ( V34
34 O 34
3E D4
( ( ( > 3E D4 ( 9 ( 2 ( 34 O
3E E4
( , 2 O
34 O 34 O 34 34
3E J4
(
GK
,!! $ "45 %'
' )**5
, * . *
0
QHJ ILR
CIJL 0
( ( ( '
3E K4 ( 3E G4 3E H4 , ( ( F # 34 O 34 O
& 34
5 34 O 34 O
& 34
&
&
C
&
O
34& O
&
C
&
O
34& O
¼
¼
¼
3E K4
3E G4
¼
&
3E H4
#
3 * PLS *
(
! ( 34 O
&
&
34& 34 O 34 34
3E I4
( ( ( (
C
O
¼ ¼
34&
3E CL4
- ( ( ( ( ( . # ( ( * '
, ( * *& 34 O
34 O 2 34
&
&
3E CC4
GG
* * (
.
34 O 34 O 2 34
34 O 34 34 O 34 34
3E CF4
3E CD4
* 34 ( ( ( ( QHJR ( O 2
3E CE4
,!& % "45')**5'
%6 -"0
A QHJ IL ICR 0
CIKF ,
3E CF4 ( 2 4 ( 34 O 3344 34 O 434 34
3E CJ4
0 * * & O *& T '*& T
'
'+
*& O *& T *&
' + '
+ 3E CK4
( ( ( # * (
< *& ( *& (
'*& GH
( ,
3E I4 34 O &
&
34 34 O &
&
&
&
&
34*& 34
34*& 34 O L
3E CG4
3E CH4
, ( ' 0
A
( *
( (
( :
34 O 34 34 O ' 34 T 34
3E CI4
(
(
,!, ) $ - 2 E F34 ( 34 O F 34 :
34 O F 3 CFL4 :
34 O F 3 T CFL4 :
O F0 O JL "
3E FL4
GI
2
2
ub(t)
u (t)
a
u (t)
c
1.5
1.5
1
1
i (t)
i (t)
Corriente [A]
Tensión [V]
0.5
0
−0.5
0.5
0
−0.5
−1
−1
−1.5
−1.5
−2
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
iLc(t)
Lb
La
−2
0.02
0.022
0.024
0.026
Tiempo [s]
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
+
E F ) (
( JL " * (
O C FJ DL X . 3E FL4 3E FC4 E F34
34 O L H F 3 DL4 34 O L H F 3 CJL4 34 O L H F 3 T IL4 3E FC4
2 ( ( *
) *
( ( # *
( E D > E D34 ( *
* * ' , *
( *
, , E D34 *
HL
1.5
a
iLa(t)
2.5
Potencia instantánea [W]
1
Magnitud [V,A]
3
u (t)
i (t)
0.5
sa
0
−0.5
−1
ps(t)=pL(t)
2
1.5
1
0.5
p (t)
C
0
−0.5
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
−1
0.02
0.022
0.024
Tiempo [s]
+
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
%
E D % ( 2 ( * *
CFL # $ - 5 !
*
* . 3E FL4 E E 3E FF4
D
34 O 34 O
F
34 O L F 3 DL4 3E FF4
2 ( * E J34 ! E J34
HC
1.5
1
iLa(t)
iLc(t)
Corriente [A]
0.5
0
i (t)
Lb
−0.5
−1
−1.5
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
E E *
1.5
5
i (t)
isc(t)
sa
Potencia instantánea [W]
1
Corriente [A]
isba(t)
0.5
0
−0.5
−1
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
4
3
ps(t)=pL(t)
2
1
pC(t)
0
−1
0.02
0.022
0.024
Tiempo [s]
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo (s)
%
E J % ! (
E K 0 # *
* > *
, (
HF
0.8
5
i (t)
Corriente [A]
i (t)
i (t)
sa
0.4
Potencia instantánea [W]
0.6
sc
sb
0.2
0
−0.2
−0.4
pL(t)
3
p (t)
s
2
1
0
p (t)
C
−1
−0.6
−0.8
0.02
4
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
−2
0.02
0.04
0.022
0.024
0.026
Tiempo [s]
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
%
E K % (
$ - 5 ,
' * *
FJL " E G
. #
3E FD4
i (t)
i (t)
La
iLc(t)
Lb
1
Corriente [A]
0.5
0
−0.5
−1
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
E G *
34 O FQL H 3 DL4 T L LH 3J T DL4R 34 O FQL H 3 CJL4 T L LH 3J T CJL4R 34 O FQL H 3 T IL4 T L LH 3J IL4R 3E FD4
HD
1.5
2.5
1
Potencia instantánea [W]
ua(t)
i (t)
Magnitud [V, A]
La
0.5
i (t)
sa
0
−0.5
−1
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
2
1
0.5
p (t)
C
0
−0.5
0.02
0.04
ps(t)=pL(t)
1.5
0.022
0.024
0.026
Tiempo [s]
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
E H % 1.5
3
Magnitud [V,A]
1
iLa(t)
i (t)
sa
0.5
pL(t)
2.5
Potencia instantánea [W]
ua(t)
0
−0.5
−1
ps(t)
2
1.5
1
pC(t)
0.5
0
−0.5
−1.5
0.02
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34 O FQ3 T CFL4 T LEJ 3 CLL4 T LF 3J T KL4R
O F0 O JL "
3J JL4 *
* ( *
* ( J
2.5
ua
ub
uc
2
1.5
Tensión [p.u]
1
0.5
0
−0.5
−1
−1.5
−2
−2.5
0.08
0.1
0.12
0.14
0.16
0.18
0.2
Tiempo [s]
J CK 2' *
E
CFG
ua
1.5
ub
uc
1
Tensión [p.u]
0.5
0
−0.5
−1
−1.5
0.08
0.1
0.12
0.14
0.16
0.18
0.2
Tiempo [s]
J CG 2' E 3 4
' 3J JL4 LC (
J CK ( ' J CG *
*
0. " % ' "% ' $ # 8
!! #% ' ! : ! - ( '
*
* (
( J CH
! *
# ( QGIR
, # (
0 * (
( 34 34 O 34 34 O 2 34
3J JC4
34 34 (
* F ( 34 2 ( CFH
u(t)
1.
Sistema Adaptativo .
Filtrado de la tensión .
+
uf (t)
2.
Sistema de
estimación
de potencia .
3.
Estimación
de la corriente
de referencia .
i L(t)
+
iRef (t)
-
+
ipf (t)
iL(t)
J CH , ! (
*
' ( *
C
O
Q 34 34 T 3434 T 3434R &
3J JF4
> 3J JC4 34 2 * (
* # # , 3J JC4 * ( 34 ( ' *
*
34 O 34 34 O 2 34
3J JD4
34 (
*
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3J JE4
* 34 * 34 * 34 ' F
( ( ( ( # *
*
CFI
Filtro de Kalman resonante
+
u+af
_
x'=Ax+ Bu
y =Cx+Du
FR
+
FK
_
2
+
x
u+bf
uf
u+af u+bf
x
u+cf
u+cf
Ge
x
x
x
x
x
x
PL
p
x
x
_+
i La
iLb
iLc
_+
_
+
ua
ub
uc
iLa
iLb
iLc
i Ref- a iRef-b i Ref- c
J CI , *
(
*
*
(
34 O 34 34 34
3J JJ4
&
3J JJ4 (
( ( , C
O Q3* 4 T 3* 4 T 3* 4 R Q3* 4 T3* 4 T3* 4R O L 3J JK4
( 3J JK4 ( ( ( - *
(
J CI
CDL
( *
( 3, 7 % ) '
% * %
, ' 3J JG4 J FL ' "
7 7 7 % & 7 % $ 9
"
7 7 & 7 % & ( $ 9
"
7 7 ) 7 % & 7 ( $ 9
" % 7 % 7 & 7 ) 7 & ' $ #
" % & 7 % 7 7 & 7 ) 7 & ' $ #
" % 7 ) 7 % 7 & ) 7 & ' 7 $ #
&8&'
1.5
1.5
1
1
u (t)
ub(t)
uc(t)
Corriente [A]
Tensión [V]
a
0.5
0
−0.5
iLa(t)
0.5
iLc(t)
iLb(t)
0
−0.5
−1
−1
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
+
J FL ) CDC
% & - $
J FC *
*
( 1.5
0.8
isa(t)
isb(t)
isc(t)
1
iRef−a(t)
iRef−c(t)
0.6
iRef−b(t)
Corriente [A]
Corriente [A]
0.4
0.5
0
−0.5
0.2
0
−0.2
−0.4
−1
−0.6
−1.5
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
−0.8
0.02
0.04
0.022
0.024
0.026
Time [s]
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
# J FC % *
(
3
u
(t)
af+
Magnitud [V,A]
2
1
i (t)
sa
0
−1
−2
−3
0.02
0.022
0.024
0.026
0.028
0.03
0.032
Tiempo [s]
0.034
0.036
0.038
0.04
J FF % ' *
*
CDF
4
3.5
p (t)
L
Potencia instantánea [W]
3
p (t)
s
2.5
2
1.5
1
0.5
p (t)
F
0
−0.5
−1
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
J FD !
*
34 34
( 34 2 ( J FC34 * ! J FF * *
JL " ' ( * , J FD *
( *
, ( *
( 3,! 7 % ) '
% * %
, ( # E *
QIJR 2 < , CDD
200
usa(t)
u (t)
sb
150
u (t)
isa(t)
sc
150
i (t)
i (t)
sc
sb
100
u (t)
Corriente [A]
Tensión [V]
100
0
50
0
−50
50
isn(t)
0
−50
−100
−100
−150
−200
0.02
0.025
0.03
0.035
0.04
0.045
0.05
0.055
0.06
−150
0.02
0.025
0.03
0.035
Tiempo [s]
0.04
0.045
0.05
0.055
0.06
Tiempo [s]
+
J FE ) 3J JH4
34 O CCJ F 34 :
3J JH4
34 O CCJ F 3 CFL4 :
34 O IF F 3 T CFL4 :
< ( 3J JI4
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O DDK " O O EFL "
3J JI4
' J FE >
J FE34 J FE34 . % & - $
, * , ( CDE
100
i
80
Ref−a
80
60
i (t)
i (t)
sb
sa
Corriente [A]
Corriente [A]
40
i (t)
sc
20
0
−20
i (t)
sn
i
Ref−b
60
iRef−c
40
20
i
Ref−n
0
−20
−40
−40
−60
−60
−80
−80
0.02
0.022
0.024
0.026
0.028
0.03
0.032
0.034
0.036
0.038
−100
0.02
0.04
0.022
0.024
0.026
Tiempo [s]
0.028
0.03
0.032
0.034
0.036
0.038
0.04
Tiempo [s]
# J FJ % *
(
200
150
uaf+(t)
100
Magnitud [V,A]
isa(t)
50
0
−50
−100
−150
−200
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
J FK % ' *
*
(
( J FJ
J FK * *
JL " ' CDJ
20000
pL(t)
ps(t)
Potencia instantánea [W]
15000
10000
5000
p (t)
F
0
−5000
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
J FG !
*
34 34
( 34 * ! *
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( @
(
00 1 ""
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alimentación
Filtro activo
de potencia
Carga no lineal
K C *# ( . 3& "!# ' $ #!#
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*
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K F ) 2CCLE
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E CK . ( F < E CF ( HLL'
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=
>
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CED
Rab =150
ua
L AC
PCC
Rectificador trifásico
950 W
ub
uc
230-V, 50Hz
LF
+
250-V
-
LF =30mH (0.17 p.u)
LAC =40mH (0.23 p.u)
(230-V, 50Hz ,1-kVA base)
K K * * * EJ A: (
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*
*
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, * ( ( ( ( K K , *
# D ( JLL :
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( 3* 4
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! ' *
"
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, * *
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!2 ,&)! )* !
CEK
!
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Control de
tensión
Control de corriente
en el inversor
Corriente de
referencia
K CL , )*
CEG
K CC : *
! 2!, 2 .
( 2CCLE , K I 2 2CCLE 3%)+
; 3 1
CCLE4 K CL )* ( ?1 - 2!, CCLE * )* * )* ; 3 8* (
2!, ! * ( ( )* K CC
$ - $ ! * * "! KHDE &
++. +-- +,
++ CEH
!
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$!+0
, *
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*
*
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F F E F
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CEI
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2!, *
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*
*
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*
*
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*
JL " # FDL :
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. 3!4 * *
K CD 2 * * * CFL * ( CJL
!
Tensi ó n de la fase -a
Corriente de
la fase -a
K CD ) * 4
3.5
0.5
Magnitud [A]
Magnitud [A]
3
2.5
2
1.5
0.4
0.3
0.2
1
0.1
0.5
0
0 50
250
350
550
650
850
Frecuencia [Hz]
950
1150 1250
" 0
0 50
250
350
550
650
850
Frecuencia [Hz]
950
1150 1250
. K CE ,
*
3 K CE4 ( . K C ( ( #
K CJ ! *
( 2 ( *
FAP (OFF)
CJC
FAP (ON)
K CJ ! ' '
* , ( +$0)
- *
! K CK , K CG 3
' 4 > ' * * *
! * 3)" 3
% 4
*
) K C ( ! CJ CF W J C W ! *
CJF
!
K CK *
! Tensi ón de la fase -a
Corriente de
la fase -a
K CG ) 3* 4
, K CH ( *
( ( CJD
) K C ) *
3
4
@ A
34 3
4 34
@ A
B@C("
B@'''
' +$0) ( *
) ( 3
Corriente de
referencia
2
Corriente inyectada
por el filtro
Señal de disparo
1
0
−1
−2
−3
0.124
0.126
0.128
0.13
0.132 0.134
Tiempo [s]
0.136
0.138
0.14
0.142
K CH 2 *
;&! <)
! (
( CJL X * *
# * *
, *
JL " ( *
* CJE
!
Tensi ón de la fase -a
K CI Tensi ón de la fase -a
K FL CJJ
, ( ( K CI ' * ( *
. * ' K FL ! ( *
* ( , ( *
*
FE W LHG W * 3. " ' $% !:" '"!/
" ( ;,$)!'
*
* "!
KHDE 2 +, KCLLLFE QCDER
. F H W ) K F * * *
*
* K FC * *
) K F "
& 3 W4 BB ( "@C A
34
B CB B
[
CJK
!
200
u (t)
a
150
h=1
100
Tensión [V]
h=5 h=7
50
0
−50
−100
−150
−200
0.02
0.022
0.024
0.026
0.028
0.03 0.032
Tiempo [s]
0.034
0.036
0.038
0.04
K FC ' 3* 4
;, <)
) K F K FF
Tensi ón de la fase -a
Corriente de
la fase -a
K FF ) * CJG
Tensi ón de la fase -a
Corriente de
la fase -a
K FD ) * ! ( ( K FD > * ( * K FD * * * * ' (
CJ LE W J F W ( *
( (
;,! <)
! ( ! CJL X * K FE
K FJ CJH
!
Tensi ó n de la fase -a
K FE ) 3* 4 *
Tensi ó n de la fase -a
K FJ ) 3* 4 *
CJI
* * *
30 " ' $% !:" '"!/
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R=8
Fuente
HP-6834A
PCC
Carga
no
lineal
desequilibrada
R=8
R=8
Filtro
activo
K FK , * "! KHDE #
!
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, K FG ' ! #
*
* # > *
. ,
CKL
!
150
100
uPCCa(t)
uPCCb(t)
u
(t)
PCCc
Tensión [V]
50
0
−50
−100
−150
0
0.01
Tiempo [s]
0.02
K FG ) ! 2' 3# 4
*
* 3# 4
Tensió
ón de la fase - a
Tensi
corriente de la fase -a
K FH . FEH W * 5 ( *
* DH W , K FH CKC
Tensió
ón de la fase - a
Tensi
corriente de la fase -a
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