Calculo

Deslizamiento : 0.0188
Calculando I’2 :
I'2=V1∡0(r1+r'2S)2+(x1+x'2)2∡tg-1X1+X'2r1+r'2S=2203∡0°0.1208+0.21030.01882+5.79922∡tg-15.79920.1208+0.21030.0188=127∡0°12.707∡27.15°
=9.994∡-27.15 Amperes
=9.994cos⁡(-27.15)-j9.994sen(-27.15)
I'2=8.892-j4.56

Im=Ic+jIØ
Im=0.3397-j19.77
Calculando I1:I1=0.3397-j19.77+8.892-j4.56
I1=9.231-j24.33
I1=9.2312+24.732∡tg-1-24.739.231
I1=26.022∡-69.222° Amperes

Calculando el F.P.:

F.P.=cos-69.222=0.35.47 en retardoCalculando la Pi:

Pi=3V1I1cosθ1=3(127v)(26.022 A)(0.35.47)
Pi=3,516.63 W =3.5166 Kw

Calculando Pcestator:

Pcestator=q1*I12r1=3(26.022A)2(0.1208)Pcestator=245.397 W=0.245kW

Calculando Pg:

Pg=q1*I´22*r'2S=3(9.994)2(0.21030.0188)
Pg=3,351.82W=3.351kW

Calculando T:

T=PgωsNs=120fp=120(60)4=1800rpm

Ns=180060=30rps
ωs=30rps(2π)188.496rad electseg T=3351.82188.495=17.58 N.m

Calculando Pcurotor:Pcurotor=q1*I’2*r’2= SPg = 0.0188(3351.82)
Pcurotor=63.0142 W=0.0630kW

Calculando Pm:

Pm=Pg(1-S)=(3351.82)(1-0.0188)
Pm=3288.805 Watts mecánicos=3.2888kW mecanicosCalculando Tm:

Tm=Pmωm S=Ns-NNs Ns-SNs=N

N=Ns(1-S)=1800(1-0.0188)=1,766.6rpmN=1,766.660=29.43rps
ωm=29.43
(2π)=184.9rad mecseg

Tm=3288.805184.91=17.7859N.m

Calculando Po:

Po=Pm-129.4=3288.805-129.4=3159.405Wmecanicos=3.1594kW

Calculando To:

To=Poωm=3159.405184.91=17.086 N.m

Po=3159.405746=4.235 Hp

%η=PoPi*100=3159.4053516.63*100 %η=89.84%