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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /2252/CH18
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Diffstat (limited to '2252/CH18')
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diff --git a/2252/CH18/EX18.1/Ex18_1.jpeg b/2252/CH18/EX18.1/Ex18_1.jpeg
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diff --git a/2252/CH18/EX18.1/Ex18_1.sce b/2252/CH18/EX18.1/Ex18_1.sce
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+
+i=linspace(0,1.6,9)
+V=[0 40 66 86 101 112 121 128 133]
+plot(i,V,rect=[0 0 1.6 133])
+xtitle("Magnetization curve for example 18.1","Field Current","Generated emf")
+
+//refer Fig. 18.4 in the textbook
+Rsh=94//resistance of shunt field winding
+//OA is the field resistance line for this resistance
+Voc=126//voltage corresponding to point A
+mprintf("Open circuit voltage when the field circuit resistance is 94 ohm=%d V\n",Voc)
+//D is point on OCC corresponding to 110 V. OD represents the field resistance line to generate this voltage
+R=70/.6//total resistance of shunt field circuit
+mprintf("Additional resistance in the shunt field circuit is %f ohm\n", R-Rsh)
+//line OE represents the critical resistance of shunt field
+Rc=40/.2
+mprintf("Critical resistance=%d ohm",Rc)
diff --git a/2252/CH18/EX18.2/Ex18_2.jpeg b/2252/CH18/EX18.2/Ex18_2.jpeg
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diff --git a/2252/CH18/EX18.2/Ex18_2.sce b/2252/CH18/EX18.2/Ex18_2.sce
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+
+i=linspace(0,3.5,8)
+V=[0 60 120 138 145 149 151 152]
+plot2d(i,V)
+xtitle("Magnetization curve for example 18.2","Field Current","Generated emf")
+
+//refer Fig. 18.5 in the textbook
+Rsh=60//shunt field resistance
+//line OA is field resistance line
+Voc=149//voltage corresponding to point A
+mprintf("Open circuit voltage=%d V\n",Voc)
+//resistance represented by OE is critical resistance
+Rc=120
+mprintf("Critical resistance of shunt field=%d ohm\n",Rc)
+//when the load has a resistance of 4 ohm
+R=4
+//load current I=V/4
+//Ish=V/60
+//Ia=I+Ish
+Eg=Voc
+Ra=.1//armature resistance
+//V=Eg-Ia*Ra
+V=Eg/(1+(1/R+1/Rsh)*Ra)
+mprintf("Terminal voltage, V=%f V\n",V)
+//when the terminal voltage is 100 V
+V=100//terminal voltage
+Ia=(Eg-V)/Ra
+Ish=V/Rsh
+I=Ia-Ish
+mprintf("Load current=%f A",I)
diff --git a/2252/CH18/EX18.3/Ex18_3.jpeg b/2252/CH18/EX18.3/Ex18_3.jpeg
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diff --git a/2252/CH18/EX18.3/Ex18_3.sce b/2252/CH18/EX18.3/Ex18_3.sce
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+
+i=linspace(0,2.5,6)
+V=[0 50 84 105 120 131]
+plot(i,V)
+xtitle("Magnetization curve for example 18.3","Field Current","Generated emf")
+
+//refer Fig.18.6 in the textbook
+//OE is the field resistance line of critical resistance
+Rc=100
+//solving (iii)
+Rsh=70//field resistance
+N=750//speed in rpm
+Nc=Rsh/Rc*N
+mprintf("When the field resistance is 70 ohm, critical speed=%d rpm\n",round(Nc))
+//solving (iv)
+Eg=100//open-circuit voltage
+Rsh=55//shunt field resistance
+//now, the operating point is M instead of A
+//LM/LN=N1/N
+//from the graph, LM/LN=100/115
+N1=100/115*N//desired speed
+mprintf("With shunt field resistance of 55 ohm, reduction in speed to make the open circuit voltage equal to 100 V=%d rpm",round(N-N1))
diff --git a/2252/CH18/EX18.4/Ex18_4.jpeg b/2252/CH18/EX18.4/Ex18_4.jpeg
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diff --git a/2252/CH18/EX18.4/Ex18_4.sce b/2252/CH18/EX18.4/Ex18_4.sce
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+
+//generated emf is directly proportional to speed
+//readings for OCC at 1000 rpm are
+Eg2=[10*(1000/800) 112*(1000/800) 198*(1000/800) 232*(1000/800) 252*(1000/800) 266*(1000/800)]
+i=linspace(0,5,6)
+plot2d(i,Eg2)
+xtitle("Magnetization curve for example 18.4","Field current","Generated emf")
+
+//refer Fig.18.7 in the textbook
+Rsh=70//resistance of field circuit
+//line OA is field resistance line
+V=330//voltage corresponding to point A
+mprintf("No load terminal voltage is %d V\n",V)
+//now, no load terminal voltage is 270 V
+V=270
+//the operating point is D
+//line OD is corresponding field resistance line
+R=V/2.4//resistance represented by line OD
+mprintf("Additional resistance required in the field circuit to reduce the voltage to 270 V=%f ohm\n",R-Rsh)
diff --git a/2252/CH18/EX18.5/Ex18_5.sce b/2252/CH18/EX18.5/Ex18_5.sce
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+
+//for generator A
+V1=240//initial terminal voltage
+V2=225//final terminal voltage
+Ia=120//armature current
+Ra=(V1-V2)/Ia//armature resistance
+//for generator B
+V1=230//initial terminal voltage
+V2=215//final terminal voltage
+Ib=100//armature current
+Rb=(V1-V2)/Ib//armature resistance
+I=200//total load current
+//I1+I2=I, V=240-I1*Ra, V=230-I2*Rb
+//solving for V, I1 and I2
+a=[1 1 0;Ra 0 1;0 Rb 1]
+b=[200;240;230]
+x=inv(a)*b
+I1=x(1,1)
+I2=x(2,1)
+V=x(3,1)
+mprintf("Bus-bar voltage=%f V,\nGenerator A supplies %f A,\nGenerator B supplies %f A", V,I1,I2)
diff --git a/2252/CH18/EX18.6/Ex18_6.sce b/2252/CH18/EX18.6/Ex18_6.sce
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+
+Ra=.03//armature resistance of each generator
+Rsh=60//field resistance of each generator
+I=4500//total load current
+//I1+I2=4500, Ish=V/60
+//Ia1=I1+V/60
+//Ia2=I2+V/60
+Ea1=500//induced emf in generator 1
+//500=V+Ia1*.03
+Ea2=510//induced emf in generator 2
+//510=V+Ia2*.03
+//solving for V,I1 and I2
+a=[1 1 0;.03 0 1+.03/60;0 .03 1+.03/60]
+b=[4500;500;510]
+x=inv(a)*b
+I1=x(1,1)
+I2=x(2,1)
+V=x(3,1)
+mprintf("Bus-bar voltage=%f V,\nLoad shared by generator 1=%f A,\nLoad shared by generator 2=%f A", V,I1,I2)
diff --git a/2252/CH18/EX18.7/Ex18_7.sce b/2252/CH18/EX18.7/Ex18_7.sce
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+
+//Let V be bus-bar voltage and I1, I2 be the currents supplied by generators 1 and 2 respectively
+Il=3000//total load current
+//I1+I2=Il
+//for generator 1
+Rsh1=30//field resistance
+Ra1=.05//armature resistance
+Eg1=400//induced emf
+//for generator 2
+Rsh2=25//field resistance
+Ra2=.03//armature resistance
+Eg2=380//induced emf
+//Ish1=V/Rsh1
+//Ish2=V/Rsh2
+//Ia1=I1+Ish1
+//Ia2=I2+Ish2
+//Eg1=V+Ia1*Ra1;Eg2=V+Ia2*Ra2
+//solving for I1,I2 and V
+a=[1 1 0;Ra1 0 1+Ra1/Rsh1;0 Ra2 1+Ra2/Rsh2]
+b=[Il;Eg1;Eg2]
+x=inv(a)*b
+I1=x(1,1)
+I2=x(2,1)
+V=x(3,1)
+P1=V*I1
+P2=V*I2
+mprintf("Output of generator 1=%f kW\nOutput of generator 2=%f kW", P1/1000,P2/1000)
+//answers vary from the textbook due to round off error