From 64d949698432e05f2a372d9edc859c5b9df1f438 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../Chapter_2_Electric.ipynb | 296 +++++++++++++++++++++ 1 file changed, 296 insertions(+) create mode 100755 sample_notebooks/Vedantam Lakshmi Manasa/Chapter_2_Electric.ipynb (limited to 'sample_notebooks/Vedantam Lakshmi Manasa/Chapter_2_Electric.ipynb') diff --git a/sample_notebooks/Vedantam Lakshmi Manasa/Chapter_2_Electric.ipynb b/sample_notebooks/Vedantam Lakshmi Manasa/Chapter_2_Electric.ipynb new file mode 100755 index 00000000..cdc8b25e --- /dev/null +++ b/sample_notebooks/Vedantam Lakshmi Manasa/Chapter_2_Electric.ipynb @@ -0,0 +1,296 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 2 Electric Fields" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2_5 pgno:65" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Maximum field = V/m per volt 42064315640.1\n" + ] + } + ], + "source": [ + "#Chapter 2, Example 5, page 65\n", + "#Calculate the maximum field at the sphere surface\n", + "#Calulating Field at surface E based on figure 2.31 and table 2.3\n", + "from math import pi\n", + "Q1 = 0.25\n", + "e0 = 8.85418*10**-12 #Epselon nought\n", + "RV1= ((1/0.25**2)+(0.067/(0.25-0.067)**2)+(0.0048/(0.25-0.067)**2))\n", + "RV2= ((0.25+0.01795+0.00128)/(0.75-0.067)**2)\n", + "RV= RV1+RV2\n", + "E = (Q1*RV)/(4*pi*e0)\n", + "print\"Maximum field = V/m per volt\",E\n", + "\n", + "#Answers vary due to round off error\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2_6 pgno:66" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "#Chapter 2, Exmaple 6, page 66\n", + "#calculation based on figure 2.32\n", + "\n", + "#(a)Charge on each bundle\n", + "print\"Part a\\t\"\n", + "req = (0.0175*0.45)**0.5\n", + "print\"Equivalent radius = m \", req\n", + "from math import log\n", + "from math import pi\n", + "V = 400*10**3 #Voltage\n", + "H = 12. #bundle height in m\n", + "d = 9. #pole to pole spacing in m\n", + "e0 = 8.85418*10**-12 #Epselon nought\n", + "Hd = ((2*H)**2+d**2)**0.5#2*H**2 + d**2\n", + "Q = V*2*pi*e0/(log((2*H/req))-log((Hd/d)))\n", + "q = Q/2\n", + "print\"Charge per bundle = uC/m \",Q #micro C/m\n", + "print\"Charge per sunconducter = uC/m \",q #micro C/m\n", + "\n", + "#(b part i)Maximim & average surface feild\n", + "print\"\\tPart b\"\n", + "print\"\\tSub part 1\\t\"\n", + "r = 0.0175 #subconductor radius\n", + "R = 0.45 #conductor to subconductor spacing\n", + "MF = (q/(2*pi*e0))*((1/r)+(1/R)) # maximum feild\n", + "print\"Maximum feild = kV/m \\t\",MF\n", + "MSF = (q/(2*pi*e0))*((1/r)-(1/R)) # maximum surface feild\n", + "print\"Maximum feild = kV/m \\t\",MSF\n", + "ASF = (q/(2*pi*e0))*(1/r) # Average surface feild\n", + "print\"Maximum feild = kV/m \\t\",ASF\n", + "\n", + "#(b part ii) Considering the two sunconductors on the left\n", + "print\"\\tSub part 2\\t\"\n", + "#field at the outer point of subconductor #1 \n", + "drO1 = 1/(d+r)\n", + "dRrO1 = 1/(d+R+r)\n", + "EO1 = MF -((q/(2*pi*e0))*(drO1+dRrO1))\n", + "print\"EO1 = kV/m \\t\",EO1\n", + "#field at the outer point of subconductor #2 \n", + "drO2 = 1/(d-r)\n", + "dRrO2 = 1/(d-R-r)\n", + "EO2 = MF -((q/(2*pi*e0))*(dRrO2+drO2))\n", + "print\"EO2 = kV/m \\t\",EO2\n", + "\n", + "#field at the inner point of subconductor #1 \n", + "drI1 = 1/(d-r)\n", + "dRrI1 = 1/(d+R-r)\n", + "EI1 = MSF -((q/(2*pi*e0))*(drI1+dRrI1))\n", + "print\"EI1 = kV/m \\t\",EI1\n", + "#field at the inner point of subconductor #2 \n", + "drI2 = 1/(d+r)\n", + "dRrI2 = 1/(d-R+r)\n", + "EI2 = MSF -((q/(2*pi*e0))*(dRrI2+drI2)) \n", + "print\"EI2 = kV/m \\t\",EI2\n", + "\n", + "#(part c)Average of the maximim gradient\n", + "print\"\\tPart c\\t\"\n", + "Eavg = (EO1+EO2)/2\n", + "print\"The average of the maximum gradient = kV/m \\t\",Eavg\n", + "\n", + "\n", + "#Answers might vary due to round off error\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2_7 pgno:69" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Electric Feild = V/m \t30015596280.4\n" + ] + } + ], + "source": [ + "#Chapter 2, Exmaple 7, page 69\n", + "#Electric feild induced at x\n", + "from math import pi\n", + "e0 = 8.85418*10**-12 #Epselon nought\n", + "q = 1 # C/m\n", + "C = (q/(2*pi*e0))\n", + "#Based on figure 2.33\n", + "E = C-(C*(1./3.+1./7.))+(C*(1+1./5.+1./9.))+(C*(1./5.+1./9.))-(C*(1./3.+1./7.))\n", + "print\"Electric Feild = V/m \\t\",E\n", + "\n", + "#Answers might vary due to round off error\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2_8 pgno:70" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Thickness of graded design= cm 4.24264068712\n", + "Curve = cm**2 62.4264068712\n", + "V1 = cm**3 47402.906725\n", + "Thickness of regular design = cm 14.684289433\n", + "V2 = cm**3 861.944682812\n" + ] + } + ], + "source": [ + "#Chapter 2, Exmaple 8, page 70\n", + "#Calculate the volume of the insulator\n", + "#Thinkness of graded design\n", + "from math import e\n", + "from math import pi\n", + "V = 150*(2)**0.5\n", + "Ebd = 50\n", + "T = V/Ebd\n", + "print\"\\nThickness of graded design= cm \",T\n", + "#Based on figure 2.24\n", + "r = 2 # radius of the conductor\n", + "l = 10 #length of graded cylinder; The textbook uses 10 instead of 20\n", + "zr = l*(T+r)\n", + "print\"Curve = cm**2 \",zr\n", + "#Volume of graded design V1\n", + "V1 = 4*pi*zr*(zr-r)\n", + "print\"V1 = cm**3 \",V1 #Unit is wrong in the textbook\n", + "#Thickness of regular design as obtained form Eq.2.77\n", + "pow = V/(2*Ebd)\n", + "t = 2*(e**pow-1)\n", + "print\"Thickness of regular design = cm \",t\n", + "#Volume of regular design V2\n", + "V2 = pi*((2+t)**2-4)\n", + "print\"V2 = cm**3 \",V2#unit not mentioned in textbook\n", + " \n", + "#Answers may vary due to round off error\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2_11 pgno:75" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The values of Phi2 and Phi4 are: [[ -3.6568 326.5 ]\n", + " [ 261.92857143 -4.37537287]]\n" + ] + } + ], + "source": [ + "#Chapter 2, Exmaple 11, page 75\n", + "#Calculate the potential within the mesh\n", + "#Based on figure 2.38(b)\n", + "#equations are obtained using Eq.2.46\n", + "import numpy\n", + "from numpy import linalg\n", + "A1 = 1/2*(0.54+0.16)\n", + "A2 = 1/2*(0.91+0.14)\n", + "S = numpy.matrix([[0.5571, -0.4571, -0.1],[-0.4751, 0.828, 0.3667],[-0.1, 0.667, 0.4667]])\n", + "#By obtaining the elements of the global stiffness matrix(Sadiku,1994)\n", + "#and by emplying the Eq.2.49(a)\n", + "S1 = numpy.matrix([[1.25, -0.014],[-0.014, 0.8381]])\n", + "S2 = numpy.matrix([[-0.7786, -0.4571],[-0.4571, -0.3667]])\n", + "Phi13 = numpy.matrix([[0], [10]])\n", + "val1 = S2*Phi13\n", + "Phi24 = val1/S1\n", + "print\"The values of Phi2 and Phi4 are:\",Phi24\n", + "\n", + "#Answers may vary due to round of error \n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} -- cgit