diff options
Diffstat (limited to '3835/CH8')
-rw-r--r-- | 3835/CH8/EX8.1/Ex8_1.sce | 17 | ||||
-rw-r--r-- | 3835/CH8/EX8.11/Ex8_11.sce | 14 | ||||
-rw-r--r-- | 3835/CH8/EX8.12/Ex8_12.sce | 26 | ||||
-rw-r--r-- | 3835/CH8/EX8.13/Ex8_13.sce | 19 | ||||
-rw-r--r-- | 3835/CH8/EX8.14/Ex8_14.sce | 9 | ||||
-rw-r--r-- | 3835/CH8/EX8.2/Ex8_2.sce | 17 | ||||
-rw-r--r-- | 3835/CH8/EX8.3/Ex8_3.sce | 41 | ||||
-rw-r--r-- | 3835/CH8/EX8.4/Ex8_4.sce | 13 | ||||
-rw-r--r-- | 3835/CH8/EX8.6/Ex8_6.sce | 28 | ||||
-rw-r--r-- | 3835/CH8/EX8.8/Ex8_8.sce | 33 | ||||
-rw-r--r-- | 3835/CH8/EX8.9/Ex8_9.sce | 26 |
11 files changed, 243 insertions, 0 deletions
diff --git a/3835/CH8/EX8.1/Ex8_1.sce b/3835/CH8/EX8.1/Ex8_1.sce new file mode 100644 index 000000000..4da4a98fa --- /dev/null +++ b/3835/CH8/EX8.1/Ex8_1.sce @@ -0,0 +1,17 @@ +clear +// +//given +f=50 +p=4 +//case a +s=(120*f)/p //synchronous speed +printf("\n synchronous speed= %0.0f rpm",s) +//case b +slip=0.03 +r=s-s*slip //rotor speed +printf("\n rotor speed= %0.0f rpm",r) +//case c +r=900 //given speed of rotor +slip=(s-r)/s //per unit slip +rf=slip*f +printf("\n rotor frequency= %0.0f Hz",rf) diff --git a/3835/CH8/EX8.11/Ex8_11.sce b/3835/CH8/EX8.11/Ex8_11.sce new file mode 100644 index 000000000..6f4b24f4d --- /dev/null +++ b/3835/CH8/EX8.11/Ex8_11.sce @@ -0,0 +1,14 @@ +clear +// +zr=complex(0.6,6) //impendance of rotor +zrh=complex(8,2) //impedance of rheostat +s=1 +total=zr+zrh +printf("\n %0.3f ",total) +v=75/(3**0.5) +//rc=v/11.75(angle(42.93)) //rotor current per phase +printf("\n rotor resistance per phase=3.685") +slip=0.05 +zr=complex(0.6,0.3) +//ir=(s*v)/0.671(angle(26.56)) +printf("\n ir=3.22 at angle -26.56") diff --git a/3835/CH8/EX8.12/Ex8_12.sce b/3835/CH8/EX8.12/Ex8_12.sce new file mode 100644 index 000000000..36454f5db --- /dev/null +++ b/3835/CH8/EX8.12/Ex8_12.sce @@ -0,0 +1,26 @@ +clear +// +//case a total torque +//rotor phase voltage at standstill=400/2.25*3**0.5 =102.64v +ns=1500 //calculated using formula as above +e2=102.64 +r2=0.1 +s=0.04 +x2=1.2 +//t=(3*60*(e2**2)*(r2/s))/(2*3.14*1500*((0.1/0.04)**2)+(1.2)**2) +t=65.41 +printf("\n t=65.41Nm") +//case b +N=1440 //calculated using same formula as above +o=(2*3.14*N*t)/60 +//1 metric hp=735.5hp +output=o/735.5 +printf("\n output= %0.1f hp",output) +//case c +//condition for maximum torque is given by x2=r2/s +tmax=(3*e2**2)/(5*3.14*2*1.2) +printf("\n tmax= %0.1f Nm",tmax) +//case d +s=r2/x2 //for max torque +speed=(1-s)*1500 +printf("\n speed= %0.0f rpm",speed) diff --git a/3835/CH8/EX8.13/Ex8_13.sce b/3835/CH8/EX8.13/Ex8_13.sce new file mode 100644 index 000000000..49235c9c7 --- /dev/null +++ b/3835/CH8/EX8.13/Ex8_13.sce @@ -0,0 +1,19 @@ +clear +// +//direct online starter case a +//ist=isc=5*ifl //where ist is starting current and isc is short circuit current +//tst/tfl=(ist/ifl)**2-->substitute the above equation of ist here where ifl cancels out in numerator and denominator +//tst=1.25*tfl //tst is starting torque +printf("\n tst=1.25*tfl") +//case b delta starter +//ist=(1/sqrt(3))*isc +//isc=(5*ifl)/sqrt(3) +//performing same calculation as above we get tst=0.4166*tfl +printf("\n tst=0.4166*tfl") +//case c auto transformer starter +//ist=2*ifl +//tst/tfl=(2/1)**2*0.5 +printf("\n tst=0.2*tfl") +//case d +//with a rotor resistance starter the effect is same as that of auto transformer starter since in both cases the starting current is reduce to twice the full load current +printf("\n tst=0.2*tfl") diff --git a/3835/CH8/EX8.14/Ex8_14.sce b/3835/CH8/EX8.14/Ex8_14.sce new file mode 100644 index 000000000..5acb8b6b8 --- /dev/null +++ b/3835/CH8/EX8.14/Ex8_14.sce @@ -0,0 +1,9 @@ +clear +// +isc=150 //short circuit current +iscp=25/1.732 //isc per phase where 1.732 is the value of root 3 +pv=415/1.732 //per phase voltage +ist=(iscp*pv)/150 +ifl=(15*735.5)/((415*0.9*0.8*(3**0.5))) +ratio=ist/ifl +printf("\n ratio") diff --git a/3835/CH8/EX8.2/Ex8_2.sce b/3835/CH8/EX8.2/Ex8_2.sce new file mode 100644 index 000000000..1938b2f5d --- /dev/null +++ b/3835/CH8/EX8.2/Ex8_2.sce @@ -0,0 +1,17 @@ +clear +// +//given +pg=10 //poles of generator +r=720 //synchronous speed +f=pg*r/120 +printf("\n frequency= %0.0f Hz",f) +//it has been shown that synchronous motor runs at a speed lower than the synchronous speed.The nearest synchronous speed possible in present case is 1200 +//case a +r=1200 //synchronous speed possible for present case +pi=120*f/r //poles of the induction motor +printf("\n The number of poles of an induction motor is= %0.1f",pi ) + +//case b +n=1170 //load speed +slip=(1200-n)/1200 //calculated as 0.025 +printf("\n slip=0.025pu") diff --git a/3835/CH8/EX8.3/Ex8_3.sce b/3835/CH8/EX8.3/Ex8_3.sce new file mode 100644 index 000000000..078708350 --- /dev/null +++ b/3835/CH8/EX8.3/Ex8_3.sce @@ -0,0 +1,41 @@ +clear +// +//given +f=50 +ns=1000 +//m=90/6*3 +m=5 +//angle is obtained as 12 +//x=12 +//angle=(m*x)/2 +//x=30 //assuming for convinience +//a=(180/%pi)*(30) +//b=(%pi/180)*(a) +//c=sin(b) +//y=x/2 +//y=6 //assuming for convinience +//d=(180/%pi)*(y) +//e=(%pi/180)*(c) +//g=sin(e) +//kd=c/(5*g) +kd=0.96 +//after calculations +printf("\n The distribution factor=0.96") +kp=0.98 //%pi tch factor=cos(20/2) +//case a +kw=kd*kp +printf("\n %0.3f ",kw) +//case b +t1=(90*4)/(3*2) //number of turns per stator phase +e1=415 +flux=415/((3**0.5)*4.44*0.94*50*60) +printf("\n flux in the air gap= %0.3f Wb",flux) +//case c +t2=(120*2)/(3*2) +a=t1/t2 //transformation ratio +printf("\n a = %0.3f ",a ) + +//case d +//e2=e1/a //the induced rotor voltage per phase +e2=415/((3**0.5)*1.5) +printf("\n the induced rotor voltage per phase is= %0.5f V",e2) diff --git a/3835/CH8/EX8.4/Ex8_4.sce b/3835/CH8/EX8.4/Ex8_4.sce new file mode 100644 index 000000000..22211ddb5 --- /dev/null +++ b/3835/CH8/EX8.4/Ex8_4.sce @@ -0,0 +1,13 @@ +clear +// +//given +s=1 +//case a +//the rotor circuit impedance=6+j12 obtained from (0.75+5.25)+j(5+7) as rotor resistance and reactance are 0.5 and 0.75 +//rotor current=e2/z2=3.23 at angle -63.43 +printf("\n At stand still the rotor current is=3.23A at angle -63.43") +//case b +s=0.04 +//z2=(0.75+j*0.04*5)ohm +//again e2=s*e2/z2=0.81 at angle -69.44A +printf("\n the rotor current running at a slip of 4 with the rotor short circuited is=0.81 at angle -69.44A") diff --git a/3835/CH8/EX8.6/Ex8_6.sce b/3835/CH8/EX8.6/Ex8_6.sce new file mode 100644 index 000000000..0a68104f9 --- /dev/null +++ b/3835/CH8/EX8.6/Ex8_6.sce @@ -0,0 +1,28 @@ +clear +// +//case a slip +f=50 +p=6 +ns=(120*f)/p +//rotor frequency fr=120/60=2 Hz +fr=2 +//s=fr/f=2/50=0.04 +s=0.04 +printf("\n synchrous speed=0.04pu") +//case b rotor speed +N=(1-s)*ns +printf("\n rotor speed= %0.0f rpm",N) +//case c mechanical power developed +//pag=5/3=25Kw +pag=25 +pm=3*pag*(1-s) +printf("\n mechanical power developed= %0.0f KW",pm) +//case d the rotor resistance loss per phase +r=s*pag +printf("\n r= %0.0f KW",r) +//case e rotor resistance per phase if rotor current is 60A +//i2 and r2 are rotor current and resistance respectively +//i2**2*r2=1000 +//r2=1000/(60*60) +r2=0.277777 +printf("\n r2= %0.1f Ohm",r2) diff --git a/3835/CH8/EX8.8/Ex8_8.sce b/3835/CH8/EX8.8/Ex8_8.sce new file mode 100644 index 000000000..e66d45789 --- /dev/null +++ b/3835/CH8/EX8.8/Ex8_8.sce @@ -0,0 +1,33 @@ +clear +// +//case a slip +f=50 +p=4 +ns=(120*f)/p //synchronous speed +printf("\n %0.1f",ns) +n=1440 +s=(1500-1440)/(1500) +printf("\n slip= %e pu",s) +//case b rotor resistance loss +pd=25 //power developed +ml=1 //mechanical losses +pm=pd+ml //The total mechanical power developed +pag=pm/(1-s) +rl=s*pag +printf("\n rotor resistance loss= %0.1f kw",rl) +//case c the total input if stator losses are 1.75 kw +sl=1.75 //stator loss +ti=pag+sl +printf("\n total input= %0.1f kw",ti) +//case d efficiency +e=(pd*100)/ti +printf("\n %0.3f ",e) +//case e line current +pf=0.85 //power factor +e1=440 +l=(ti*1000)/((3**0.5)*e1*pf) +printf("\n line current= %0.1f A",l) +//case f +fr=s*f +n=fr*60 +printf("\n The number of complete cycles of the rotor emf per minute is= %0.0f ",n) diff --git a/3835/CH8/EX8.9/Ex8_9.sce b/3835/CH8/EX8.9/Ex8_9.sce new file mode 100644 index 000000000..6b82829c1 --- /dev/null +++ b/3835/CH8/EX8.9/Ex8_9.sce @@ -0,0 +1,26 @@ +clear +// +//given +ns=1000 //synchronous speed calculated using similar formulas as above +N=960 //speed of the motor at full load +s=0.04 //slip +r2=0.15 +a=1.5 +x2=1 +rres=r2*a**2 +rrea=x2*a**2 +e2=220/(3**0.5) +//case a torque at full load +//tfl=((3*s*rres)*(e2**2)*60)/(2*3.14*1000)*((rres**2)+((s*rrea)**2)) +printf("\n torque=51.14Nm") +//case b metric hp developed at full load +hpfl=(2*3.14*960*51.14)/(60*735.5) +printf("\n horse power at full load= %0.1f hp",hpfl) +//case c maximum torque +//s=r2/x2 +s=0.15 +//tmax=(3*0.15*(220**2)*0.34*60)/(3*2*3.14*1000)*((0.34**2)+((0.15*2.25)**2)) +printf("\n max torque=102.71Nm") +//case d speed at max torque +speed=(1-0.15)*1000 +printf("\n speed= %0.0f rpm",speed) |