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-rw-r--r--[-rwxr-xr-x]basic_electrical_engineering_by_nagsarkar_and_sukhija/chapter9.ipynb186
1 files changed, 2 insertions, 184 deletions
diff --git a/basic_electrical_engineering_by_nagsarkar_and_sukhija/chapter9.ipynb b/basic_electrical_engineering_by_nagsarkar_and_sukhija/chapter9.ipynb
index 09344739..9c13416d 100755..100644
--- a/basic_electrical_engineering_by_nagsarkar_and_sukhija/chapter9.ipynb
+++ b/basic_electrical_engineering_by_nagsarkar_and_sukhija/chapter9.ipynb
@@ -38,54 +38,37 @@
],
"source": [
"import math\n",
- "\n",
"#case a\n",
- "\n",
"e=600\n",
"p=6\n",
"n=1500\n",
"z=200\n",
"a=2\n",
- "\n",
"#since e=(phy*n*p*z)/(60*a)\n",
- "\n",
"phy=(e*60*a)/(n*p*z)\n",
- "\n",
"print \"phy=0.04\"\n",
- "\n",
"#case b\n",
- "\n",
"phy=0.05\n",
"p=8\n",
"n=500\n",
"z=800\n",
"a=8\n",
"p=8\n",
- "\n",
"e=(phy*p*n*z)/(60*a)\n",
- "\n",
"print \"e=\",format(e,'.3f'),\"V\"\n",
- "\n",
"#case c\n",
- "\n",
"e=400\n",
"a=2\n",
- "\n",
"n=(e*60*a)/(phy*p*z)\n",
- "\n",
"print \"n=\",format(n,'.1f'),\"rpm\"\n",
- "\n",
"#case d\n",
- "\n",
"phy=0.05\n",
"p=4\n",
"n=800\n",
"z=600\n",
"a=4\n",
"p=4\n",
- "\n",
"e=(phy*n*p*z)/(60*a)\n",
- "\n",
"print \"e=\",format(e,'.2f'),\"V\""
]
},
@@ -114,7 +97,6 @@
],
"source": [
"import math\n",
- "\n",
"d=0.2\n",
"l=0.25\n",
"p=6\n",
@@ -123,23 +105,14 @@
"n=800\n",
"a=2\n",
"ld=50\n",
- "\n",
"phy=0.045 #flux per pole=0.9*0.2*0.25\n",
- "\n",
"e=(phy*p*n*z)/(60*a)\n",
- "\n",
"ia=e/ld\n",
- "\n",
"#case a\n",
- "\n",
"t=(60*e*ia)/(2*3.14*n)\n",
- "\n",
"print \"torque=\",format(t,'.2f'),\"Nm\"\n",
- "\n",
"#case b\n",
- "\n",
"po=e*ia\n",
- "\n",
"print \"power output=\",format(po,'.2f'),\"W\""
]
},
@@ -171,42 +144,26 @@
],
"source": [
"import math\n",
- "\n",
"#case a\n",
- "\n",
"ia=125 #armature current\n",
"ra=0.15\n",
"v=200\n",
- "\n",
"e=v+ia*ra\n",
- "\n",
"print \"e=\",format(e,'.2f'),\"V\"\n",
- "\n",
"#case b\n",
- "\n",
"n=500\n",
"t=(60*e*ia)/(2*3.14*n)\n",
- "\n",
"print \"the developer generated torque=\",format(t,'.2f'),\"Nm\"\n",
- "\n",
"#case c\n",
- "\n",
"pi=(e*ia)+((ia**2)*ra)\n",
- "\n",
"print \"power input=\",format(pi,'.2f'),\"W\"\n",
- "\n",
"#case d\n",
- "\n",
"e=183.75 #voltage generated at 420 rpm \n",
"ia=108.33 #since generated voltage is less than bus voltage the generator draws current from bus and functions as motor\n",
"#therefore,ia is the current when generator is functioning as motor\n",
- "\n",
"powip=v*ia\n",
- "\n",
"print \"power input=\",format(powip,'.2f'),\"W\"\n",
- "\n",
"powop=(e*ia)-((ia**2)*ra)\n",
- "\n",
"print \"power output=\",format(powop,'.2f'),\"W\""
]
},
@@ -235,28 +192,18 @@
],
"source": [
"import math\n",
- "\n",
"#given\n",
- "\n",
"i=250\n",
"v=125\n",
- "\n",
"rl=v/i #load resistance\n",
- "\n",
"gemf=125+200*0.05+1.5\n",
- "\n",
"print \"generated emf=\",format(gemf,'.2f'),\"V\"\n",
- "\n",
"e=(136.5*1200)/1500 #generated emf at 1200rpm\n",
- "\n",
"#let v be the terminal voltage at 1200rpm\n",
"#then armature current ia=v/rl\n",
"#substituting all values in v=e-ia*ra-(voltage drop across the brushes)=97.91\n",
- "\n",
"v=97.91\n",
- "\n",
"i=v*2 #where rl=0.5 in the denominator is written as 2 \n",
- "\n",
"print \"current=\",format(i,'.2f'),\"A\""
]
},
@@ -285,22 +232,15 @@
],
"source": [
"import math\n",
- "\n",
"#given\n",
"#the external characteristic of the generator,the combined armature and series field resistance is given by ra+rs\n",
- "\n",
"r=0.375 #ra+rs\n",
- "\n",
"#case a\n",
"i=150\n",
- "\n",
"#-0.375+0.4=0.025 the voltage drop\n",
"vab=0.025*150\n",
- "\n",
"print \"when i=150 the voltage drop between points a and b is=\",format(vab,'.2f'),\"V\"\n",
- "\n",
"vab=0.025*45\n",
- "\n",
"print \"when i=45 the voltage drop between points a and b is=\",format(vab,'.2f'),\"V\""
]
},
@@ -329,26 +269,18 @@
],
"source": [
"import math\n",
- "\n",
"#given\n",
- "\n",
"v=250\n",
"e=230\n",
"ia=250\n",
"If=2.5\n",
"il=247.5\n",
- "\n",
"#case a\n",
- "\n",
"po=v*il\n",
- "\n",
"print \"power input=\",format(po,'.2f'),\"W\"\n",
- "\n",
"#case b\n",
- "\n",
"n=800\n",
"t=(60*e*il)/(2*3.14*n)\n",
- "\n",
"print \"The input torque=\",format(t,'.2f'),\"Nm\""
]
},
@@ -377,26 +309,18 @@
],
"source": [
"import math\n",
- "\n",
"#shunt field current\n",
- "\n",
"ish=400/220 #from circuit diagram\n",
- "\n",
"#armature current\n",
- "\n",
"i=50\n",
"ia=i+ish\n",
- "\n",
"print \"armature current=\",format(ia,'.2f'),\"A\"\n",
- "\n",
"#armature voltage\n",
- "\n",
"voldrop=3\n",
"ra=0.04\n",
"rs=0.02\n",
"v=400\n",
"e=v+ia*(ra+rs)+voldrop\n",
- "\n",
"print \"armature voltage=\",format(e,'.2f'),\"V\""
]
},
@@ -425,43 +349,29 @@
],
"source": [
"import math\n",
- "\n",
"#given\n",
- "\n",
"i=35\n",
"v=220\n",
"ra=0.15\n",
"n1=1600\n",
- "\n",
"#when motor is running at 1200rpm the back emf eb1 is given by eb1=v-(35*0.15)\n",
"eb1=214.75\n",
- "\n",
"#flux phy1 is proportional to armature current ia.Thus, at ia1=35 and ia2=15 n is proportional to eb/phy\n",
- "\n",
"#2=(eb2*phy1)/(phy2*eb1)\n",
"#therefore\n",
"eb2=184.07\n",
- "\n",
"#case a\n",
- "\n",
"#resistance to be connected in series is rse ohm\n",
"ia2=15\n",
"rse=((v-eb2)/ia2)-ra\n",
- "\n",
"print \"rse=\",format(rse,'.2f'),\"ohm\"\n",
- "\n",
"#case b\n",
- "\n",
"eb2=0.5*1.15*214.75\n",
- "\n",
"ia2=50\n",
"rse=((v-eb2)/ia2)-ra\n",
- "\n",
"phy1=35\n",
"eb2=220-50*0.15\n",
- "\n",
"n2=(n1*eb2*phy1)/(1.15*phy1*eb1)\n",
- "\n",
"print \"n2=\",format(n2,'.1f'),\"rpm\""
]
},
@@ -490,31 +400,19 @@
],
"source": [
"import math\n",
- "\n",
"#case a\n",
- "\n",
"i=60\n",
"eb1=450\n",
"ia=15.18 #derived from problem\n",
- "\n",
"#using formula n2/n1=(eb2*phy1)/(eb1*phy2)\n",
- "\n",
"eb2=45.54\n",
- "\n",
"rse=(eb1-eb2)/ia\n",
- "\n",
"print \"rse=\",format(rse,'.2f'),\"ohm\"\n",
- "\n",
"#case b\n",
- "\n",
"ia=38.97 #derived\n",
- "\n",
"#using the above used formula\n",
- "\n",
"eb2=219.21\n",
- "\n",
"rse=(eb1-eb2)/ia\n",
- "\n",
"print \"rse=\",format(rse,'.2f'),\"ohm\""
]
},
@@ -542,28 +440,19 @@
],
"source": [
"import math\n",
- "\n",
"#given and derived from the circuit in the figure\n",
- "\n",
"ish=2\n",
"ia=77 #75+2\n",
"ra=0.15\n",
"v=200\n",
- "\n",
"e=v+ia*ra\n",
- "\n",
"#when dc machine runs as a motor \n",
"ia=73 #75-2\n",
- "\n",
"eb=v-(ia*ra)\n",
- "\n",
"#n1 and n2 are the speeds at which the motor is operating as a generator and motor\n",
- "\n",
"n1=211.55\n",
"n2=189.05\n",
- "\n",
"p=n1/n2\n",
- "\n",
"print p"
]
},
@@ -591,28 +480,21 @@
],
"source": [
"import math\n",
- "\n",
"#given\n",
"n=500\n",
"v=250\n",
"rsh=80\n",
"ra=0.02\n",
"drop=1.5\n",
- "\n",
"#derived\n",
- "\n",
"ish=3.125 #ish=v/rsh\n",
"il=480 #il=w*1000/v\n",
"ia=483.125 #ia=il+ish\n",
"e=v+ra*ia+2*drop\n",
- "\n",
"il=80\n",
"ia=il-ish\n",
- "\n",
"eb=v-ra*ia-2*drop\n",
- "\n",
"n=(500*eb)/e #e is proportional to n\n",
- "\n",
"print \"n=\",format(n,'.2f'),\"rpm\"\n",
"\n"
]
@@ -641,35 +523,21 @@
],
"source": [
"import math\n",
- "\n",
"#given and derived\n",
- "\n",
"ish=1\n",
"il=26\n",
"ia=25\n",
"ra=0.4\n",
- "\n",
- "\n",
"#phy1*i1=phy2*i2 and ish2*i2=ish1*i1\n",
- "\n",
"#subtituting values in the above equation we get i2=25/ish2\n",
- "\n",
"eb1=200-ia*ra\n",
- "\n",
"#eb2=200-0.4*i2\n",
- "\n",
"#eb1/eb2=(n1*ish1)/(n2*ish2)\n",
- "\n",
"#190/(200-0.4*25/ish2)=500/(700*ish2)\n",
- "\n",
"#on finding the square root we get the value of ish2 as 0.698A\n",
- "\n",
"ish2=0.698\n",
- "\n",
"totres=200/0.698\n",
- "\n",
"r=totres-200\n",
- "\n",
"print \"resistance to be inserted in the field circuit is=\",format(r,'.2f'),\"ohm\"\n",
"\n"
]
@@ -698,9 +566,7 @@
],
"source": [
"import math\n",
- "\n",
"#given and derived\n",
- "\n",
"phy=0.015\n",
"p=8\n",
"z=1000\n",
@@ -712,22 +578,14 @@
"ia=25-2\n",
"eb=400-25*0.4\n",
"il=25\n",
- "\n",
"n=(eb*60*a)/(phy*p*z)\n",
- "\n",
"t=(phy*p*z*ia)/(2*3.14*2)\n",
- "\n",
"powdev=eb*ia\n",
"netshaft=powdev-1000 #aggregate losses\n",
- "\n",
"torque=(netshaft*60)/(2*3.14*n)\n",
- "\n",
"hp=netshaft/746\n",
- "\n",
"powinput=v*il\n",
- "\n",
"n=netshaft/powinput\n",
- "\n",
"print n\n",
"\n"
]
@@ -760,58 +618,34 @@
],
"source": [
"import math\n",
- "\n",
"#given and derived\n",
- "\n",
"v=450\n",
"r=0.25\n",
"i1=160\n",
"i2=125\n",
"r1=450/float(160)\n",
- "\n",
"eb1=v-i2*r1\n",
- "\n",
"#flux decreases by 12% hence eb2=1.12*eb1\n",
- "\n",
"eb2=110.60\n",
- "\n",
"r2=(v-eb2)/i1\n",
- "\n",
"eb3=v-i2*r2\n",
- "\n",
"eb4=1.12*eb3\n",
"r3=(v-eb4)/i1\n",
- "\n",
- "eb5=v-i2*r3\n",
- "eb6=1.12*eb5\n",
- "\n",
+ "eb5=v-i2*r3eb6=1.12*eb5\n",
"r4=(450-eb6)/i1\n",
- "\n",
"eb7=v-i2*r4\n",
"eb8=1.12*eb7\n",
- "\n",
"r5=(v-eb8)/i1\n",
- "\n",
"#resistance of each section of the starter is determined as follows\n",
- "\n",
"R1=r1-r2\n",
- "\n",
"print \"R1=\",format(R1,'.2f'),\"ohm\"\n",
- "\n",
"R2=r2-r3\n",
- "\n",
"print \"R2=\",format(R2,'.2f'),\"ohm\"\n",
- "\n",
"R3=r3-r4\n",
- "\n",
"print \"R3=\",format(R3,'.2f'),\"ohm\"\n",
- "\n",
"R4=r4-r5\n",
- "\n",
"print \"R4=\",format(R4,'.2f'),\"ohm\"\n",
- "\n",
"R5=r5-r\n",
- "\n",
"print \"R5=\",format(R5,'.2f'),\"ohm\"\n",
"\n",
"\n",
@@ -845,9 +679,7 @@
],
"source": [
"import math\n",
- "\n",
"#given and derived\n",
- "\n",
"If=1.6\n",
"ia=300\n",
"loss=640 #400*1.6\n",
@@ -855,34 +687,20 @@
"ra=0.08\n",
"ia=301.6\n",
"arloss=7277 #armature loss at full load\n",
- "\n",
"#case a\n",
- "\n",
"po=120*1000\n",
- "\n",
"n=(po/float(po+arloss+pconst))*100\n",
- "\n",
"print n\n",
- "\n",
"arlosshalfload=150+1.6 #il/2+if\n",
"arlossfullload=1838.6 #ia**2*ra\n",
- "\n",
"#case b\n",
- "\n",
"n=((60*1000)/((60*1000)+1838.6+4140))*100\n",
- "\n",
"print n\n",
- "\n",
"#for maximum n ia=il\n",
- "\n",
"ia=(pconst/ra)**0.5\n",
- "\n",
"nmax=((120*1000)/float((120*1000)+2*4140))*100\n",
- "\n",
"print nmax\n",
- "\n",
"maxn=(ia*100)/300\n",
- "\n",
"print maxn\n",
"\n"
]
@@ -913,7 +731,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
- "version": "2.7.9"
+ "version": "2.7.5"
}
},
"nbformat": 4,
generated by cgit (git 2.34.1) at 2024-12-20 21:59:06 +0000