diff options
Diffstat (limited to '3784/CH6')
| -rw-r--r-- | 3784/CH6/EX6.1/Ex6_1.sce | 48 | ||||
| -rw-r--r-- | 3784/CH6/EX6.2/Ex6_2.sce | 25 | ||||
| -rw-r--r-- | 3784/CH6/EX6.3/Ex6_3.sce | 31 | ||||
| -rw-r--r-- | 3784/CH6/EX6.4/Ex6_4.sce | 27 | ||||
| -rw-r--r-- | 3784/CH6/EX6.5/Ex6_5.sce | 34 | ||||
| -rw-r--r-- | 3784/CH6/EX6.6/Ex6_6.sce | 20 |
6 files changed, 185 insertions, 0 deletions
diff --git a/3784/CH6/EX6.1/Ex6_1.sce b/3784/CH6/EX6.1/Ex6_1.sce new file mode 100644 index 000000000..8335db30f --- /dev/null +++ b/3784/CH6/EX6.1/Ex6_1.sce @@ -0,0 +1,48 @@ +clc
+//variable initialization
+Vm=415 //input of motor in volt
+F1=50 //supply frequency in hrtz
+F2=35 //supply frequency in hrtz
+F3=10 //supply frequency in hrtz
+N=1460 //speed of motor in rpm
+P=4 //number of poles
+R1=0.65 //resistance of stator in ohm
+R2=0.35 //resistance of rotor in ohm
+X1=0.95 //reactance of Motor in ohm
+X2=1.43 //reactance of Motor in ohm
+Xm=28 //reactance of Motor in ohm
+
+
+
+//Solution
+V1ph=Vm/sqrt(3)
+Ns1=(120*F1)/P
+Wsm1=(2*%pi/60)*Ns1
+Sm1=R2/sqrt((R1^2)+(X1+X2)^2)//Slip for maximum torque
+Nr1=Ns1*(1-Sm1)
+Tm1=3*((V1ph)^2)/(2*Wsm1*(R1+sqrt((R1)^2+(X1+X2)^2)))
+
+V2ph=Vm/sqrt(3)
+X3=X1*(F2/F1)
+X4=X2*(F2/F1)
+Sm2=R2/sqrt((R1^2)+(X3+X4)^2)//Slip for maximum torque
+Ns2=(120*F2)/P
+Wsm2=(2*%pi/60)*Ns2
+Nr2=Ns2*(1-Sm2)
+Tm2=3*((V2ph*F2/F1)^2)/(2*Wsm2*(R1+sqrt((R1)^2+(X3+X4)^2)))
+
+V3ph=Vm/sqrt(3)
+X5=X1*(F3/F1)
+X6=X2*(F3/F1)
+Sm3=R2/(sqrt((R1^2)+((X5+X6)^2)))//Slip for maximum torque
+Ns3=(120*F3)/P
+Wsm3=(2*%pi/60)*Ns3
+Nr3=Ns3*(1-Sm3)
+Tm3=3*((V3ph*F3/F1)^2)/(2*Wsm3*(R1+sqrt((R1)^2+(X5+X6)^2)))
+printf('\n\n speed at which maximum torque occurs for 50 Hz=%0.1f rpm\n\n',Nr1)
+printf('\n\n maximum torque for 50 Hz=%0.1f N-m\n\n',Tm1)
+printf('\n\n speed at which maximum torque occurs for 35 Hz=%0.1f rpm\n\n',Nr2)
+printf('\n\n maximum torque for 35 Hz=%0.1f N-m\n\n',Tm2)
+printf('\n\n speed at which maximum torque occurs for 10 Hz=%0.1f rpm\n\n',Nr3)
+printf('\n\n maximum torque for 10 Hz=%0.1f N-m\n\n',Tm3)
+
diff --git a/3784/CH6/EX6.2/Ex6_2.sce b/3784/CH6/EX6.2/Ex6_2.sce new file mode 100644 index 000000000..fd1098844 --- /dev/null +++ b/3784/CH6/EX6.2/Ex6_2.sce @@ -0,0 +1,25 @@ +clc
+//variable initialization
+Pout=50 //output of induction motor in kilowatt
+Vm=400 //input of motor in volt
+F0=50 //supply frequency in hrtz
+N1=1470 //speed of motor in rpm
+P=4 //number of pole
+Rs=0.42 //resistance of stator in ohm
+Rr=0.23 //resistance of rotor in ohm
+Xs=0.95 //reactance of stator in ohm
+Xr=0.85 //reactance of rotor in ohm
+Xm=28 //reactance of motor in ohm
+Sm=0.12 //slip of motor
+//Solution
+Vs=Vm/sqrt(3)
+W0=2*%pi*F0
+K=Rr/(Sm*(Xs+Xr))
+F=K*F0//Supply Frequency
+Tdm=3*P*Vs^2/(2*(K^2)*W0(Xs+Xr))
+Ws=(K*W0*2)/(P)
+Wm=Ws*(1-Sm)
+N2=Wm*60/(2*%pi)
+printf('\n\n Supply Frequency=%0.1f Hz\n\n',F)
+printf('\n\n The Breakdown Torque=%0.1f N-m\n\n',Tdm)
+printf('\n\n The Speed at maximum torque=%0.1f rpm\n\n',N2)
diff --git a/3784/CH6/EX6.3/Ex6_3.sce b/3784/CH6/EX6.3/Ex6_3.sce new file mode 100644 index 000000000..0dc3292fe --- /dev/null +++ b/3784/CH6/EX6.3/Ex6_3.sce @@ -0,0 +1,31 @@ +clc
+//variable initialization
+Pout=50 //output of induction motor in kilowatt
+Vm=400 //input of motor in volt
+F0=50 //supply frequency in hrtz
+N1=1475 //speed of motor in rpm
+P=4 //number of poles
+Rs=0.42 //resistance of stator in ohm
+Rr=0.23 //resistance of rotor in ohm
+Xs=0.95 //reactance of stator in ohm
+Xr=0.85 //reactance of rotor in ohm
+Xm=30 //reactance of motor in ohm
+Tdm=225 //Breakdown Torque In N-m
+K=poly(0,'K')
+
+
+
+
+//Solution
+W0=2*%pi*F0
+Vp=Vm/sqrt(3)
+K=sqrt((3*2*(Vp^2))/(2*Tdm*W0*(Xs+Xr)))
+W1=K*W0
+F1=W1/(2*%pi)
+Sm=Rr/(K*(Xs+Xr))
+Ws=2*K*W0/(P)
+Wm=Ws*(1-Sm)
+N=Wm*60/(2*%pi)
+printf('\n\n The Supply Frequency=%0.1f Hz\n\n',F1)
+printf('\n\n The slip at maximum torque=%0.1f\n\n',Sm)
+printf('\n\n The speed at maximum torque=%0.1f rpm\n\n',N)
diff --git a/3784/CH6/EX6.4/Ex6_4.sce b/3784/CH6/EX6.4/Ex6_4.sce new file mode 100644 index 000000000..4e01f940b --- /dev/null +++ b/3784/CH6/EX6.4/Ex6_4.sce @@ -0,0 +1,27 @@ +clc
+//variable initialization
+Pout=50 //output of induction motor in kilowatt
+Vm=420 //input of motor in volt
+F0=50 //supply frequency in hrtz
+F1=58 // frequency in hrtz
+N1=1475 //speed of motor in rpm
+P=4 //number of poles
+Rs=0.4 //resistance of stator in ohm
+Rr=0.21 //resistance of rotor in ohm
+Xs=0.95 //reactance of stator in ohm
+Xr=0.85 //reactance of rotor in ohm
+Xm=32 //reactance of motor in ohm
+
+//Solution
+Vp=Vm/sqrt(3)
+K=F1/F0
+W0=2*%pi*F0
+W=W0*K
+Sm=Rr/(K*(Xs+Xr))
+Ws=2*K*W0/P
+Wm=Ws*(1-Sm)
+N=Wm*60/(2*%pi)
+Tdm1=(3*2*(Vp^2))/(2*(K^2)*W0*(Xs+Xr))
+printf('\n\n The Slip at maximum torque=%0.1f\n\n',Sm)
+printf('\n\n The Speed at maximum torque=%0.1f rpm\n\n',N)//The answers vary due to round off error
+printf('\n\n The Breakdown torque=%0.1f N-m\n\n',Tdm1)
diff --git a/3784/CH6/EX6.5/Ex6_5.sce b/3784/CH6/EX6.5/Ex6_5.sce new file mode 100644 index 000000000..39180d16e --- /dev/null +++ b/3784/CH6/EX6.5/Ex6_5.sce @@ -0,0 +1,34 @@ +clc
+//variable initialization
+Pout=30 //output of induction motor in kilowatt
+Vm=400 //input of motor in volt
+F0=50 //supply frequency in hrtz
+F1=40 // frequency in hrtz
+P=4 //number of poles
+Rs=0.33 //resistance of stator in ohm
+Rr=0.22 //resistance of rotor in ohm
+Xs=0.9 //reactance of stator in ohm
+Xr=0.9 //reactance of rotor in ohm
+
+//Solution
+Vs=Vm/sqrt(3)
+Sm=Rr/(sqrt((Rs^2)+((Xs+Xr)^2)))
+Ir=Vs/sqrt(((Rs+(Rr/Sm))^2)+((Xs+Xr)^2))
+cos_P=cosd(atand((Xs+Xr)/(Rs+(Rr/Sm))))
+Pi=sqrt(3)*Vm*Ir*cos_P
+P0=3*(Ir^2)*Rr*((1/Sm)-1)
+n=(P0/Pi)*100
+
+K=F1/F0//for frequency of 40 Hz
+Xs2=K*Xs
+Xr2=K*Xr
+Sm2=Rr/(sqrt((Rs^2)+((Xs2+Xr2)^2)))
+Vs2=K*Vs
+Ir2=Vs2/sqrt(((Rs+(Rr/Sm2))^2)+((Xs2+Xr2)^2))
+cos_p2=cosd(atand((Xs2+Xr2)/(Rs+(Rr/Sm2))))
+Pi2=3*Vs2*Ir2*cos_p2
+P02=3*(Ir2^2)*Rr*((1/Sm2)-1)
+n2=(P02/Pi2)*100
+printf('\n\n The Efficiency at breakdown torque with 50Hz=%0.1f\n\n',n)
+printf('\n\n The Efficiency at breakdown torque with 40Hz=%0.1f\n\n',n2)
+//The answers vary due to round off error
diff --git a/3784/CH6/EX6.6/Ex6_6.sce b/3784/CH6/EX6.6/Ex6_6.sce new file mode 100644 index 000000000..2906dbf36 --- /dev/null +++ b/3784/CH6/EX6.6/Ex6_6.sce @@ -0,0 +1,20 @@ +clc
+//variable initialization
+Vm=400 //input of motor in volt
+F=50 //supply frequency in hrtz
+N=1500 //speed of motor in rpm
+P=6 //number of poles
+R1=2 //resistance of stator in ohm
+R2=3 //resistance of rotor in ohm
+X1=4 //reactance of Motor in ohm
+X2=4 //reactance of Motor in ohm
+S=1 //Slip Of Motor
+
+//Solution
+Ns=(120*F)/P
+Ws=(2*%pi/60)*Ns
+Vph=Vm/sqrt(3)
+Tst=(3/Ws)*((Vph^2)/((R1+(R2/S))^2+(X1+X2)^2))*R2
+Ist=Vph/sqrt((R1+R2)^2+(X1+X2)^2)
+printf('\n\n The Starting Torque=%0.1f N-m\n\n',Tst)
+printf('\n\n The starting Current=%0.1f Amp\n\n',Ist)
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