diff options
Diffstat (limited to 'ELECTRIC_MACHINERY/chapter8.ipynb')
-rwxr-xr-x | ELECTRIC_MACHINERY/chapter8.ipynb | 81 |
1 files changed, 23 insertions, 58 deletions
diff --git a/ELECTRIC_MACHINERY/chapter8.ipynb b/ELECTRIC_MACHINERY/chapter8.ipynb index 785bba7e..d938905f 100755 --- a/ELECTRIC_MACHINERY/chapter8.ipynb +++ b/ELECTRIC_MACHINERY/chapter8.ipynb @@ -1,6 +1,7 @@ { "metadata": { - "name": "" + "name": "", + "signature": "sha256:c0cec23fbe397fb7ebb6d2fd4aa3f54866d7506eaba8e21d17c10d01c93413cd" }, "nbformat": 3, "nbformat_minor": 0, @@ -31,6 +32,8 @@ "%matplotlib inline\n", "from numpy import *\n", "from math import *\n", + "from matplotlib import *\n", + "from pylab import *\n", "\n", "#Variable declaration:\n", "R=0.038 #m\n", @@ -128,15 +131,7 @@ "output_type": "stream", "stream": "stdout", "text": [ - "Populating the interactive namespace from numpy and matplotlib\n", - "Lm =" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " 0.127968099059 H\n", + "Lm = 0.127968099059 H\n", "(c)The peak torque = 1.53 N.m\n", "\t(i) The net torque, (at thetam=0) = 0 N.m\n", "\t(ii) The net torque, (at thetam=45 deg.) = 0 N.m\n", @@ -146,13 +141,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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HDh3Qs2dPkxlKm700dPkq+DoKkTA9e8YMYbq2JSzJOXKkcOX5kSNAixa25ywNKc6ntZSQ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\n5ORkNG7cWPKMhXPK9VwCKNB9snnzZqjV6mIzS6V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O121sbG5GRUXNJIRg3bp1EevWrYtQnPPVV19F29jY3HRzc7uUmprqpdifkZHh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\nfdjo4+BtxUEIEYWGhsa2bt364YoVK76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jJ9/KU3mbPXv2HEtLy3xFGcbHxwfV5czVlpCQ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\nEEIoIlg4EEIIRQQLB0IIoYj8DRLhonoh4yhPAAAAAElFTkSuQmCC\n", "text": [ - "<matplotlib.figure.Figure at 0x1d13bd0>" + "<matplotlib.figure.Figure at 0x2cad490>" ] } ], - "prompt_number": 2 + "prompt_number": 4 }, { "cell_type": "heading", @@ -170,6 +165,7 @@ "%matplotlib inline\n", "from sympy import *\n", "from math import *\n", + "from matplotlib.pyplot import *\n", "\n", "#Variable declaration:\n", "n1=4000 #r/min\n", @@ -215,9 +211,6 @@ "\n", "#Calculations & Results:\n", "#for part (c):\n", - "from __future__ import division\n", - "from pylab import *\n", - "\n", "Lleak=0.005\n", "Posintegral=0\n", "integral=0\n", @@ -267,15 +260,7 @@ "output_type": "stream", "stream": "stdout", "text": [ - "Populating the interactive namespace from numpy and matplotlib\n", - "i1 =" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " 100*t/(51.1872396234976*t + 0.005) \t, (where round(16.2934044186179*pi,2) = 51.1 )\n", + "i1 = 100*t/(51.1872396234976*t + 0.005) \t, (where round(16.2934044186179*pi,2) = 51.1 )\n", "\n", "i2 = (-200*t + 0.75)/(-51.1*t + 0.2605) \n", "\n", @@ -287,31 +272,23 @@ ] }, { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['fmod', 'cosh', 'sinh', 'trunc', 'tan', 'gamma', 'degrees', 'radians', 'sin', 'expm1', 'ldexp', 'isnan', 'frexp', 'ceil', 'copysign', 'cos', 'tanh', 'fabs', 'sqrt', 'hypot', 'log', 'log10', 'pi', 'log1p', 'floor', 'modf', 'exp', 'isinf', 'e']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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cS9cJbpGRkZw9e7bCO3e3nBxITISuXY05vlWubbZCTitkBMnpapXN+Yc/QEGB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\ntWoxZMgQNmzYUGy7ioQ2e1e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dUQoZAcrJtcaSc9kytmn45k3V5KmOVMqzIWrskuVzcjy+5ecDV6/SaCRCGgsT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\nxVKeCoaGhrnDhg07evXqVbfKvxdLeSp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RDV3XvFYqlaipamsaarXa6qeffnorLS3N+5NPPvksPT29RW5ubrOAgIAkUw+6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\nT29t2rQpUiaTJXfq1OmP2NjYMEOOrW/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"text": [ - "<matplotlib.figure.Figure at 0x3a36f90>" + "<matplotlib.figure.Figure at 0x3a66fd0>" ] } ], - "prompt_number": 3 + "prompt_number": 15 }, { "cell_type": "heading", @@ -327,6 +304,10 @@ "input": [ "from __future__ import division\n", "%matplotlib inline\n", +<<<<<<< HEAD + "from matplotlib.pyplot import *\n", +======= +>>>>>>> 0ee873700378b995b441b1be6652178f741aea5b "\n", "#Variavle declaration:\n", "rpm=2500 #rpm of motor\n", @@ -387,38 +368,22 @@ "output_type": "stream", "stream": "stdout", "text": [ - "Populating the interactive namespace from numpy and matplotlib\n", - "part (b): Ratio =" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - " 1.55\n", + "part (b): Ratio = 1.55\n", "part (c): AreaWnet = 9.91 Joules\n", "Pphase = 825.0 W \tPtot = 1651.0 W\n", "\n" ] }, { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['power', 'random', 'fft', 'linalg', 'info']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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arSaffvqpYN+uu+46sn//fkIIIc888wxJSkrq8ZzywQ6pTZvmmRCaN8M2LkJh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\naNR1qM4+wHTq0MnJCb6+vgCA6dOnw9/fH7dv3zaJOtRkG2A69afY9PD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g0KFDZmhda5gW2iQW17SFgZvmRpwqhqikKIjZGwPVT6u1cZecshz47dZvcK7k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\nJ5VKISkpCQBA+7xkKybLajt06NDUkydPvrZz585FAADJycm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