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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | df60071cf1d1c18822d34f943ab8f412a8946b69 (patch) | |
| tree | ab059cf19bad4a1233a464ccf5d72cf8b3fb323c /Non_Conventional_Energy_Resources/Chapter7.ipynb | |
| parent | fba055ce5aa0955e22bac2413c33493b10ae6532 (diff) | |
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diff --git a/Non_Conventional_Energy_Resources/Chapter7.ipynb b/Non_Conventional_Energy_Resources/Chapter7.ipynb new file mode 100755 index 00000000..abfadf7d --- /dev/null +++ b/Non_Conventional_Energy_Resources/Chapter7.ipynb @@ -0,0 +1,185 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:4b902b7e06643df09d54725c85a046b0d243304126721453ed87eafe8f5d46d6"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter7: Wind Energy"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7.1:Pg-216"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# given data\n",
+ "import math\n",
+ "rho=1.226 # air density in kG/m^3\n",
+ "alpha =0.14\n",
+ "H=10.0 # height at which wind speed is given in m\n",
+ "uH=12.0 # speed in m/s\n",
+ "z=100.0 # tower height in m\n",
+ "D=80.0 # diameter in m\n",
+ "effigen=0.85 # efficiency og generator\n",
+ "\n",
+ "A=math.pi*(D**2)/4 # area in m^3\n",
+ "u0=uH*(z/H)**alpha # velocity at 100 m in m/s\n",
+ "u1=0.8*u0 # exit velocity in m/s \n",
+ "Po=(A*rho*u0**3)/2 # Total Power in Wind\n",
+ "# Part 1 \n",
+ "print \"Total Power in Wind is \",round(Po/1000000,2),\"MW\"\n",
+ "\n",
+ "# Part 2\n",
+ "a=(u0-u1)/u0 # interference factor\n",
+ "Cp=4*a*(1-a)**2 # Power Coefficient\n",
+ "PT=Cp*Po/1000000 # power to turbine in MW\n",
+ "\n",
+ "print \"The power extracted by turbine is \",round(PT,2),\"MW\"\n",
+ "\n",
+ "# Part 3\n",
+ "Pelec=effigen*PT # electrical power generated in MW\n",
+ "\n",
+ "print \"The Electrical power generated is \",round(Pelec,2),\"MW\"\n",
+ "\n",
+ "# Part 4\n",
+ "FA=4*a*(1-a)*(A*rho*u0**2)/2 # axial thrust in N\n",
+ "\n",
+ "print \"The axial thrust is \",round(FA,2),\"N\"\n",
+ "\n",
+ "# Part 5\n",
+ "\n",
+ "Fmax=(A*rho*u0**2)/2 # maximum thrust in N\n",
+ "print \"Maximum axial thrust is \",round(Fmax,2),\"N\"\n",
+ "\n",
+ "\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Total Power in Wind is 14.0 MW\n",
+ "The power extracted by turbine is 7.17 MW\n",
+ "The Electrical power generated is 6.09 MW\n",
+ "The axial thrust is 541094.1 N\n",
+ "Maximum axial thrust is 845459.53 N\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7.2:Pg-216"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# given data\n",
+ "import math\n",
+ "u0=20.0 # wind speed in m/s\n",
+ "T=273+27.0 # temp in kelvin\n",
+ "P=1.01325e5 # pressure in Pa\n",
+ "R=287.0 # gas constant\n",
+ "r=80/2.0 # radius of rotor in m\n",
+ "w=2*math.pi*40/60.0 # rotor speed in rad/s\n",
+ "A=math.pi*r**2 # area of rotor in m^2\n",
+ "\n",
+ "# soln:\n",
+ "rho=P/(R*T) # density in Kg/m^3\n",
+ "a=1/3.0 # condition for maximum output\n",
+ "Cpmax=4*a*(1-a)**2 # Power Coefficient\n",
+ "Lambda=r*w/u0 #tip speed ratio\n",
+ "\n",
+ "Po=(A*rho*u0**3)/2000000 # Total Power in Wind in W\n",
+ "\n",
+ "Tm=Po*r/u0 # Torque in N\n",
+ "\n",
+ "Ctmax=Cpmax/Lambda # torque coefficient \n",
+ "\n",
+ "Tshmax=Tm*Ctmax # torque at shaft\n",
+ "\n",
+ "print \"The torque at shaft for maximum output is \",round(Tshmax,2),\"N\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The torque at shaft for maximum output is 3.35 N\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7.3:Pg-217"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given Data\n",
+ "# given data\n",
+ "import math\n",
+ "u0=15.0 # wind speed in m/s\n",
+ "R=80/2.0 # radius of rotor in m\n",
+ "n=3 # number of blades\n",
+ "\n",
+ "Lambda=4*math.pi/n # condition of tip ratio for maximum output\n",
+ "\n",
+ "w=Lambda*u0/R # using Eq 7.21 rotor speed in rad/s\n",
+ "\n",
+ "N=w*60/(2*math.pi) # rotor speed in RPM\n",
+ "\n",
+ "print \"For optimum energy the rotor speed should be\",N,\"rpm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "For optimum energy the rotor speed should be 15.0 rpm\n"
+ ]
+ }
+ ],
+ "prompt_number": 31
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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