TRABAJO ARMONICOS

ARMONICOS DE UN INVERSOR DC /AC
DATOS DEL
INVERSOR
Vin =
Vout = V
In = Amp
fn =
Hz
Lm = h
Rn = Ω
ω = πx2
α=
COS(30º)
Vcc =
n=
Vin/Vuot
CALCULO DE CORRIENTE DE ARMONICOS
50
220
5
3500
0.025
10
6.28
n
1
3
5
7
9
11
fn(Hz)
60
180
300
420
540
660
Vn(v)
2749.35
0.00
-606.32
-433.08
0.00
275.60
Zn(ohm)
13.74
29.98
48.15
66.69
85.37
104.10
In(A)
200.13
0.00
-12.59
-6.49
0.00
2.65
0.87
2493.46
13
15
780
900
-0.12
0.00
122.87
141.65
0.00
0.00
0.23
4 ∗ 𝑉𝑐𝑐
𝑉𝑛 = (
) ∗ 𝐶𝑂𝑆(𝑛 ∗ 30°)
𝑛∗𝜋
𝑍𝑛 = √𝑅 2 + ((2𝜋 ∗ 𝑓)(𝐿𝑚))2
𝐼𝑛 =
𝑉𝑛
𝑍𝑛
𝑉𝑐𝑐 =
𝑉𝑛1 ∗ 𝜋
4 ∗ 𝐶𝑜𝑠(∝)
RENDIMIENTO
Ps = In
CICLO DE TRABAJO
5
Pa = n*Ps
1.14
µ%=
4.40
D = 1-(Vin*n)/Vout
1 %
Comp.
Arm.
Fundament
30°
18°
12.858°
30°
8.18°
6.925°
30°
LABORATORIO DE ARMONICOS
MAGNITU
D
FUNDAMENTA
L
3ra A
5.00
0.00
DIA%
DESFASE
60
180
I RMS
I Armonica
300
THDi
180
540
180
780
900
I pico
FC
Increment
oI
Pérdidas
5 ta A
-12.59
7 ta A
9 na A
-6.49
0.00
98%
0.0%
251.8%
129.9%
0.0%
11 ava A
13 ava A
15 ava A
2.65
0.00
0.00
52.9%
0.0%
0.0%
15.26
14.41
288.27%
33.924
2.22
205.1%
831.0%
Condiciones Normales
Onda Distorsionada
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
Distorsiones Armóncias
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
FUNDAMENTAL
3ra A
5 ta A
7 ta A
9 na A
11 ava A
13 ava A
15 ava A
4.40
Espectro de Fourier
90%
80%
80%
70%
60%
50,0%
50%
40%
30%
20%
10%
0,0%
2,2%
0,0%
0%
0,0%
-10%
-20%
-10,1%
-5,3%
ARMONICOS DE UN MOTOR TRIFASICO
DATOS DEL MOTOR
Vin =
Vout = V
In = Amp
fn =
Hz
Lm = h
Rn = Ω
ω = πx2
α = COS(30º)
Vcc =
n= Vin/Vuot
CALCULO DE CORRIENTE DE ARMONICOS
220
220
105
60
0.15
12
6.28
0.87
1308.56
1.00
n
1
3
5
7
9
11
13
15
fn(Hz)
60
120
180
240
300
360
420
480
Vn(v)
1442.85
0.00
-318.19
-227.28
0.00
144.63
-0.06
0.00
Zn(ohm)
57.40
169.85
282.78
395.77
508.78
621.80
734.83
847.86
In(A)
25.14
0.00
-1.13
-0.57
0.00
0.23
0.00
0.00
4 ∗ 𝑉𝑐𝑐
𝑉𝑛 = (
) ∗ 𝐶𝑂𝑆(𝑛 ∗ 30°)
𝑛∗𝜋
𝑍𝑛 = √𝑅 2 + ((2𝜋 ∗ 𝑓)(𝐿𝑚))2
𝐼𝑛 =
𝑉𝑛
𝑍𝑛
𝑉𝑐𝑐 =
𝑉𝑛1 ∗ 𝜋
4 ∗ 𝐶𝑜𝑠(∝)
RENDIMIENTO
Ps = In
Pa = n*Ps
µ%=
CICLO DE TRABAJO
105
105.00
1.00
LABORATORIO DE ARMONICOS
D = 1-(Vin*n)/Vout
1 %
Comp.
Arm.
Fundament
30°
18°
12.858°
30°
8.18°
6.925°
30°
FUNDAMENTAL
3ra A
5 ta A
7 ta A
9 na A
11 ava A
13 ava A
15 ava A
MAGNITUD DIA%
105.00
100%
0.00
0.0%
-1.13
1.1%
-0.57
0.5%
0.00
0.0%
0.23
0.00
0.00
0.2%
0.0%
0.0%
DESFASE
60
120
I RMS
I Armonica
105.01
1.28
180
THDi
1.22%
240
300
I pico
FC
Incremento
I
Pérdidas
360
420
480
148.378
1.41
0.0%
0.0%
Condiciones Normales
Onda Distorsionada
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
RENDIMIENTO
Ps = In
Pa = n*Ps
µ%=
CICLO DE TRABAJO
2
36.67
0.05
D = 1-(Vin*n)/Vout
1 %
1.00
Distorsiones Armóncias
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
FUNDAMENTAL
3ra A
5 ta A
7 ta A
9 na A
11 ava A
13 ava A
15 ava A
LABORATORIO DE ARMONICOS
MAGNITU
D
FUNDAMENTAL
2.00
3ra A
0.00
5 ta A
7 ta A
9 na A
-0.20
-0.11
0.00
DIA%
98%
0.0%
10.1
%
-5.3%
0.0%
11 ava A
13 ava A
15 ava A
0.04
0.00
0.00
2.2%
0.0%
0.0%
DESFASE
60
120
540
660
780
180
300
420
I RMS
I Armonica
2.01
0.23
THDi
I pico
FC
Increment
oI
Pérdidas
11.62%
2.979
1.48
0.7%
1.4%
Condiciones Normales
0.05
Onda Distorsionada
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
Distorsiones Armóncias
4,000
3,000
2,000
1,000
0,000
-1,000
-2,000
-3,000
-4,000
FUNDAMENTAL
3ra A
5 ta A
7 ta A
9 na A
11 ava A
13 ava A
15 ava A
Espectro de Fourier
90%
80%
80%
70%
60%
50,0%
50%
40%
30%
20%
10%
0,0%
2,2%
0,0%
0%
0,0%
-10%
-20%
-10,1%
-5,3%