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%