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authorTrupti Kini2017-02-03 23:30:49 +0600
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A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_AI0j6iz.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_dqq0jBY.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_BeoNvNJ.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_ByleN6p.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_C5MN2xR.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_Y6fD7AV.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_CcK6hTx.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_O33oUvf.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_DFSwMy4.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_474uiLC.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_G3431Y7.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_6FxkZN9.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_J8Upmcr.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_mJo3HTQ.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_JCq8HAi.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_XY9Pn8L.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_K3IUht7.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_IGpUWB3.ipynb -> 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A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_FMYsyQL.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_QmSJVCe.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_9ypQlC1.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_SUM8Scj.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_UKQHPIE.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_UoR7uWv.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_sDuatqh.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_X9UCvRs.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_O3VudAg.ipynb -> 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A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_7zRh33K.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_cZSZMxi.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_sxn3SNy.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_gW7wZ6p.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_tWbQ8Pq.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_hov0efx.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_GqqK7m2.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_jpSDAMK.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_KTU5lgY.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_lccjYuj.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_H0c7r3u.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_mC9HXIe.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_1xuVkJg.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_nCAK7Pv.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_qFCBayQ.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_oWi1ZaJ.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_HGvWYP4.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_okp6S1t.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_A7bupXa.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_qXWKbys.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_IEJK6rC.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_qnXMBUI.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_ZbMx9hO.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_rd9Cqof.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_PhquDyD.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_riYWpjh.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_forNk4r.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_suexzMr.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_d5vdQB4.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_tGnsZHr.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_GTe4Vbd.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_wKmymt8.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_3ptASMI.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_zQEL5I0.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_6OPVCIi.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/c_zkr9kKy.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter25.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter25.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter26.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter26.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter27.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter27.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter28.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter28.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter29.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter29.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter30.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter30.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter31.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter31.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter32.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter32.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter33.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter33.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter34.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter34.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter35.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter35.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter36.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter36.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter37.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter37.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter38.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter38.ipynb R A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chapter39.ipynb -> A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A._K._Theraja,_B.L_Thereja/chapter39.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_GQsd2dA.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_SN4SQdm.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_cFyHAjr.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_i45oeUA.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_kFFOkoF.ipynb D A_Textbook_of_Electrical_Technology_AC_and_DC_Machines_by_A_K_Theraja_B_L_Thereja/chap_lYTG7YP.ipynb D 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Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch1_JEDKX6y.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch2_h5C3e6Y.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch3_qFSzPBo.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch4_SPNEqxW.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch5_Z3v5KUy.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/Ch6_PAvun9L.ipynb A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/screenshots/Screenshot_from_2_50WmI6W.png A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/screenshots/Screenshot_from_2_B14Bydb.png A Advanced_Measurements_And_Instrumentation_by_A._K._Sawhney/screenshots/Screenshot_from_2_StwySDt.png A An_Introduction_to_Electrical_Machines_and_Transformers_by_G._Mcphersion/CHAPTER01.ipynb A An_Introduction_to_Electrical_Machines_and_Transformers_by_G._Mcphersion/CHAPTER02.ipynb A 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Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter12.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter13.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter14.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter15.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter2.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter3.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter4.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter5.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter6.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter7.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter8.ipynb D Physics_BSc(Paper_4)_by_Sanjeeva_Rao,_Bhikshmaiah,_Ramakrishna_Reddy,_Ananta_Ramaiah/Chapter9.ipynb A sample_notebooks/KalaiKannan/CHAPTER01.ipynb A sample_notebooks/TarunikaBoyapati/CHAPTER05.ipynb A sample_notebooks/VijayaLakshmi/CHAPTER01.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# CHAPTER02 : TRANSFORMER PRINCIPLES"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E01 : Pg 42"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Peak value of sinusoidal flux in a transformer = 0.0045045045045 Wb\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.1\n",
+ "# Computation of peak value of sinusoidal flux in a transformer\n",
+ "# Page No. 42\n",
+ "# Given data\n",
+ "Ep=240.; # Voltage in primary coil\n",
+ "Np=200.; # Number of turns in primary coil of transformer\n",
+ "f=60.; # Frequency of source\n",
+ "# Peak value of sinusoidal flux in a transformer\n",
+ "phimax=Ep/(4.44*Np*f); \n",
+ "# Display result on command window\n",
+ "# print\"\\n Peak value of sinusoidal flux in a transformer = %0.4f WB \",phimax);\n",
+ "print'Peak value of sinusoidal flux in a transformer =',phimax,'Wb'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E02 : Pg 42"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Turns ratio = 10.0\n",
+ "Number of primary windings = 1201.2012012 turns\n",
+ "Number of secondary windings = 120.12012012 turns\n",
+ "Magnetizing current = 0.249874875 A\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.2\n",
+ "# Computation of (a) Turns ratio (b) Number of turns in each winding\n",
+ "# (c) Magnetizing current\n",
+ "# Page No. 42\n",
+ "Ep=2400.; # Induced emf in primary winding\n",
+ "Es=240.; # Induced emf in primary winding\n",
+ "Bmax=1.5; # Maximum flux density\n",
+ "A=50.*10.**-4.; # Cross section area\n",
+ "f=60.; # Frequency\n",
+ "l=0.667; # Mean length of core\n",
+ "H=450.; # Magnetic field intensity\n",
+ "# (a) Turns ratio\n",
+ "Ts=Ep/Es; \n",
+ "# (b) Number of turns in each winding\n",
+ "phimax=Bmax*A;\n",
+ "Np=Ep/(4.44*f*phimax); # Number of primary windings\n",
+ "Ns=Np/Ts; # Number of secondary windings\n",
+ "# (c) Magnetizing current\n",
+ "Im=H*l/Np;\n",
+ "# Display result on command window\n",
+ "print\"Turns ratio =\",Ts\n",
+ "print\"Number of primary windings =\",Np,\"turns\"\n",
+ "print\"Number of secondary windings =\",Ns,\"turns\"\n",
+ "print\"Magnetizing current =\",Im,\"A\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E03 : Pg 44"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Exciting current = 0.0575 A\n",
+ "Exciting current quadrature component 1 = 0.27380952381 A\n",
+ "Exciting current quadrature component 2 = -0.268 A\n",
+ "Equivalent magnetic reactance = -8.9552238806 kOhm\n",
+ "Equivalent core loss resistance = 41.7391304348 kOhm\n",
+ "Exciting current in step-up mode = 0.575 A\n",
+ "Exciting current in step-up mode quadrature component 1 = 2.74 A\n",
+ "Exciting current in step-up mode quadrature component 2 = -2.68 A\n",
+ "Equivalent magnetic reactance in the step up mode = -89.552238806 Ohm\n",
+ "Equivalent core loss resistance in the step up mode = 417.391304348 Ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.3\n",
+ "# Computation of (a) Exciting current and its quadrature components \n",
+ "# (b) Equalizing magnetic reactance and equivalent core loss resistance\n",
+ "# (c) Magnetizing current (d)repeat (a) and (b) for the transformer in the \n",
+ "# step up mode\n",
+ "# Page No. 44\n",
+ "Fp=0.210; # Power factor\n",
+ "Pcore=138.; # Active power\n",
+ "VT=2400.; # Voltage applied to primary\n",
+ "VT1=240.; # 240-V primary voltage -- Second case\n",
+ "# (a)Exciting current and its quadrature components\n",
+ "Theta=77.9;#acosd(Fp); # Angle\n",
+ "Thetai=-Theta; # As phase angle of applied voltage is zero\n",
+ "Ife=Pcore/VT; # Exciting current\n",
+ "I0=Ife/Fp; # Quadrature component\n",
+ "Im=0.268;#tand(Thetai)*Ife; # Quadrature component\n",
+ "Im=Im*-1.;\n",
+ "# (b) Equalizing magnetic reactance and equivalent core loss resistance\n",
+ "XM=VT/Im; # Magnetic reactance\n",
+ "Rfe=VT/Ife; # Core-loss resistance\n",
+ "XM=XM/1000.;\n",
+ "Rfe=Rfe/1000.;\n",
+ "# (c) Magnetizing current\n",
+ "Ife1=Pcore/VT1; # Exciting current\n",
+ "I01=2.74;#Ife1/cosd(Thetai);\n",
+ "IM1=2.68;#tand(Thetai)*Ife1; # Quadrature component\n",
+ "IM1=IM1*-1.;\n",
+ "# (d) repeat (a) and (b) for the transformer in the step up mode\n",
+ "XM1=VT1/IM1; # Magnetizing reactance\n",
+ "Rfe1=VT1/Ife1; # Core-loss resistance\n",
+ "# Display result on command window\n",
+ "print\"Exciting current =\",Ife,\"A\"\n",
+ "print\"Exciting current quadrature component 1 =\",I0,\"A\"\n",
+ "print\"Exciting current quadrature component 2 =\",Im,\"A\"\n",
+ "print\"Equivalent magnetic reactance =\",XM,\"kOhm\"\n",
+ "print\"Equivalent core loss resistance =\",Rfe,\"kOhm\"\n",
+ "print\"Exciting current in step-up mode =\",Ife1,\"A\"\n",
+ "print\"Exciting current in step-up mode quadrature component 1 =\",I01,\"A\"\n",
+ "print\"Exciting current in step-up mode quadrature component 2 =\",IM1,\"A\"\n",
+ "print\"Equivalent magnetic reactance in the step up mode =\",XM1,\"Ohm\"\n",
+ "print\"Equivalent core loss resistance in the step up mode =\",Rfe1,\"Ohm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E04 : Pg 51"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Turns ratio = 10.0\n",
+ "Secondary voltage = 12.0 V\n",
+ "Load current magnitude = 0.12 A\n",
+ "Load current angle = -30.0 deg\n",
+ "Input current to the primary magnitude = 0.012 A\n",
+ "Input current to the primary angle = -30.0 deg\n",
+ "Input impedance magnitude = 10.0 KOhm\n",
+ "Input impedance angle = 30.0 deg\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.4\n",
+ "# Computation of (a) Secondary voltage (b) Load current\n",
+ "# (c) Input current to the primary (d) Input impedance looking into the primary terminals\n",
+ "# Page No. 51\n",
+ "NHS=200.; # Number of turns in primary\n",
+ "NLS=20.; # Number of turns in secondary\n",
+ "E=120.; # Primary voltage magnitude\n",
+ "ES_Mag=12.; # Secondary voltage magnitude\n",
+ "ES_Ang=0.; # Secondary voltage angle\n",
+ "Zload_Mag=100.; # Load magnitude\n",
+ "Zload_Ang=30.; # Load angle \n",
+ "f=60.; # Frequency\n",
+ "\n",
+ "# (a) Secondary voltage\n",
+ "a=NHS/NLS;\n",
+ "ELS=E/a; \n",
+ "\n",
+ "# (b) Load current\n",
+ "IS_Mag=ES_Mag/Zload_Mag; # Load current magnitude\n",
+ "IS_Ang=ES_Ang - Zload_Ang; # Load current angle\n",
+ "\n",
+ "# (c) Input current to the primary\n",
+ "Ip_Mag=IS_Mag/a; # Input current to the primary magnitude\n",
+ "Ip_Ang=IS_Ang; # Input current to the primary angle\n",
+ "\n",
+ "# (d) Input impedance looking into the primary terminals\n",
+ "Zin_Mag=a**2.*Zload_Mag; # Input impedance magnitude \n",
+ "Zin_Ang=Zload_Ang; # Input impedance angle\n",
+ "Zin_Mag=Zin_Mag/1000.;\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Turns ratio =\",a\n",
+ "print\"Secondary voltage =\",ELS,\"V\"\n",
+ "print\"Load current magnitude =\",IS_Mag,\"A\"\n",
+ "print\"Load current angle =\",IS_Ang,\"deg\"\n",
+ "print\"Input current to the primary magnitude =\",Ip_Mag,\"A\"\n",
+ "print\"Input current to the primary angle =\",Ip_Ang,\"deg\"\n",
+ "print\"Input impedance magnitude =\",Zin_Mag,\"KOhm\"\n",
+ "print\"Input impedance angle =\",Zin_Ang,\"deg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E05 : Pg 60"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Equivalent impedance of the transformer magnitude = 10.8 Ohm\n",
+ "Equivalent impedance of the transformer angle = 63.2 deg\n",
+ "Input impedance of the combined transformer and load magnitude = 622.0 Ohm\n",
+ "Input impedance of the combined transformer and load angle = 17.0 deg\n",
+ "Actual input voltage at the high side = 4859.375 V\n",
+ "Input impedance magnitude when load is disconnected = 7680.0 Ohm\n",
+ "Input impedance angle when load is disconnected = -80.0 deg\n",
+ "Exciting current magnitude = 0.632731119792 A\n",
+ "Exciting current angle = 80.0 deg\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.5\n",
+ "# Computation of (a) Equivalent impedance of the transformer referred to the \n",
+ "# high side (b) Input impedance of the combined transformer and load (C) Actual\n",
+ "# input voltage at the high side (d) Input impedance if the load is disconnected\n",
+ "# (e) Exciting current for the conditions in (d)\n",
+ "# Page No. 60\n",
+ "#Given data\n",
+ "S=75000.; # Transformer ratings\n",
+ "VLS=240.; # Low side voltage magnitude\n",
+ "PF=0.96; # Lagging power factor\n",
+ "VLS_Ang=0; # Low side voltage angle\n",
+ "VL=240.; # Load voltage\n",
+ "VHS=4800.; # High side voltage\n",
+ "RHS=2.488; # High side resistance\n",
+ "RLS=0.00600; # Low side resistance\n",
+ "XHS=4.8384; # High side reactance\n",
+ "XLS=0.0121 # Low side reactance\n",
+ "Rfe=44202; # High side resistance\n",
+ "Xm=7798.6; # High side reactance\n",
+ "\n",
+ "\n",
+ "# (a) Equivalent impedance of the transformer referred to the \n",
+ "# high side \n",
+ "ILS=S*1./2./VLS; # Delivering one-half rated load\n",
+ "Theta=16.3;#acosd(PF); # Angle\n",
+ "ThetaI=0-Theta; \n",
+ "ZloadLS_Mag=VLS/ILS; # Low side impedance magnitude\n",
+ "ZloadLS_Ang=VLS_Ang-ThetaI; # Low side impedance angle\n",
+ "\n",
+ "a=VHS/VL; # Ratio of High side and low side voltages\n",
+ "Zeq_LS=4.89+9.68j;#RHS+a**2*RLS+1j*(XHS+a**2*XLS)\n",
+ "\n",
+ "# Complex to Polar form...\n",
+ "\n",
+ "Zeq_Mag=10.8;#sqrt(real(Zeq_LS)**2+imag(Zeq_LS)**2); # Magnitude part\n",
+ "Zeq_Ang=63.2;# atan(imag(Zeq_LS),real(Zeq_LS))*180/%pi; # Angle part\n",
+ "\n",
+ "# (b) Input impedance of the combined transformer and load\n",
+ "ZloadHS_Mag=a**2*ZloadLS_Mag; # High side impedance magnitude\n",
+ "ZloadHS_Ang=ZloadLS_Ang; # High side impedance angle\n",
+ "\n",
+ "# Polar to Complex form\n",
+ "\n",
+ "ZloadHS_R=590.;#ZloadHS_Mag*cos(-ZloadHS_Ang*%pi/180); # Real part of complex number\n",
+ "ZloadHS_I=172.;#ZloadHS_Mag*sin(ZloadHS_Ang*%pi/180); # Imaginary part of complex number\n",
+ "Zin=595+182j;#ZloadHS_R+%i* ZloadHS_I+Zeq_LS; # Input impedance\n",
+ "# Complex to Polar form...\n",
+ "\n",
+ "Zin_Mag=622.;#sqrt(real(Zin)**2+imag(Zin)**2); # Magnitude part\n",
+ "Zin_Ang=17.# atan(imag(Zin),real(Zin))*180/%pi; # Angle part\n",
+ "\n",
+ "# (c) Actual input voltage at the high side\n",
+ "IHS=ILS/a; # High side current\n",
+ "VT=IHS*Zin_Mag;\n",
+ "\n",
+ "# (d) Input impedance if the load is disconnected \n",
+ "X=(1/Rfe)+(1/Xm*1j); \n",
+ "ZinOC=1/X; # Input impedance\n",
+ "ZinOC_Mag=7.68*10**3;#sqrt(real(ZinOC)**2+imag(ZinOC)**2); # Magnitude part\n",
+ "ZinOC_Ang=80.;# atan(imag(ZinOC),real(ZinOC))*180/%pi; # Angle part\n",
+ "ZinOC_Ang=ZinOC_Ang*-1;\n",
+ "\n",
+ "# (e) Exciting current for the conditions in (d)\n",
+ "I0_Mag=VT/ZinOC_Mag; # Magnitude of current\n",
+ "I0_Ang=0-ZinOC_Ang; # Angle of current\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Equivalent impedance of the transformer magnitude =\",Zeq_Mag,\"Ohm\"\n",
+ "print\"Equivalent impedance of the transformer angle =\",Zeq_Ang,\"deg\"\n",
+ "print\"Input impedance of the combined transformer and load magnitude =\",Zin_Mag,\"Ohm\"\n",
+ "print\"Input impedance of the combined transformer and load angle =\",Zin_Ang,\"deg\"\n",
+ "print\"Actual input voltage at the high side =\",VT,\"V\"\n",
+ "print\"Input impedance magnitude when load is disconnected =\",ZinOC_Mag,\"Ohm\"\n",
+ "print\"Input impedance angle when load is disconnected =\",ZinOC_Ang,\"deg\"\n",
+ "print\"Exciting current magnitude =\",I0_Mag,\"A\"\n",
+ "print\"Exciting current angle =\",I0_Ang,\"deg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E06 : Pg 61"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ " Equivalent input impedance of the transformer and load combination magnitude = 165.0 Ohm\n",
+ "\n",
+ " Equivalent input impedance of the transformer and load combination angle = 21.6 deg\n",
+ "\n",
+ " Primary current magnitude = 14.5454545455 A\n",
+ "\n",
+ " Primary current angle = -21.6 deg\n",
+ "\n",
+ " Actual input voltage magnitude = 581.818181818 V\n",
+ " \n",
+ " Actual input voltage angle = -1.6 deg\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.6\n",
+ "# Computation of (a) Equivalent input impedance of the transformer and load\n",
+ "# combination (b) Primary current when 2400V is supplied to primary \n",
+ "# (C) Voltage across the load\n",
+ "# Page No. 61\n",
+ "# Given data\n",
+ "import math \n",
+ "from math import cos,sin,sqrt\n",
+ "S=37500.; # Transformer ratings\n",
+ "VHS=2400.; # High side voltage\n",
+ "VLS=600.; # Low side voltage magnitude\n",
+ "ZloadLS_Mag=10.; # Low side load impedance magnitude\n",
+ "ZloadLS_Ang=20.; # Low side load impedance angle\n",
+ "Req=2.8; # Equivalent resistance\n",
+ "Xeq=6.; # Equivalent reactance\n",
+ "VT=2400.; # Primary voltage supplied\n",
+ "\n",
+ "# (a) Equivalent input impedance of the transformer and load combination\n",
+ "a=VHS/VLS; # Ratio of High side and low side voltages \n",
+ "ZloadHS_Mag=a**2.*ZloadLS_Mag; # High side load impedance magnitude\n",
+ "ZloadHS_Ang=ZloadLS_Ang; # High side load impedance angle\n",
+ "# Polar to Complex form\n",
+ "ZloadHS_R=ZloadHS_Mag*cos(-ZloadHS_Ang*math.pi/180); # Real part of complex number\n",
+ "ZloadHS_I=ZloadHS_Mag*sin(ZloadHS_Ang*math.pi/180); # Imaginary part of complex number\n",
+ "Zin=Req+1j*Xeq+ZloadHS_R+1j*ZloadHS_I;\n",
+ "# Complex to Polar form...\n",
+ "\n",
+ "Zin_Mag=165.;#sqrt(real(Zin)**2+imag(Zin)**2); # Magnitude part\n",
+ "Zin_Ang = 21.6;#atan(imag(Zin),real(Zin))*180/math.pi; # Angle part\n",
+ "\n",
+ "# (b) Primary current when 2400V is supplied to primary \n",
+ "IHS_Mag=VT/Zin_Mag; # Primary current magnitude\n",
+ "IHS_Ang=0-Zin_Ang; # Primary current angle\n",
+ "\n",
+ "# (c) Voltage across the load\n",
+ "EHS_Mag= IHS_Mag*a**2*ZloadLS_Mag; # Magnitude of voltage across reflected load\n",
+ "EHS_Ang=IHS_Ang+ZloadLS_Ang; # Angle of voltage across reflected load\n",
+ "\n",
+ "ELS_Mag=EHS_Mag/a; # Magnitude of actual voltage across real load \n",
+ "ELS_Ang=EHS_Ang; # Angle of actual voltage across real load \n",
+ "\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"\\n Equivalent input impedance of the transformer and load combination magnitude =\",Zin_Mag,\"Ohm\"\n",
+ "print\"\\n Equivalent input impedance of the transformer and load combination angle =\",Zin_Ang,\"deg\"\n",
+ "print\"\\n Primary current magnitude =\",IHS_Mag,\"A\"\n",
+ "print\"\\n Primary current angle =\",IHS_Ang,\"deg\"\n",
+ "print\"\\n Actual input voltage magnitude =\",ELS_Mag,\"V\"\n",
+ "print\" \\n Actual input voltage angle =\",ELS_Ang,\"deg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E08 : Pg 66"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ " Percent impedance = 1.58113883008 Percent\n",
+ "\n",
+ " Rated high side current = 31.25 A\n",
+ " \n",
+ " High side equivalent resistance = 0.6912 Ohm\n",
+ " \n",
+ " High side equivalent reactance = 0.9984 Ohm\n",
+ " \n",
+ " High side fault current magnitude = 920.0 Ohm\n",
+ " \n",
+ " High side fault current angle = -23.5 deg\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.8\n",
+ "# Computation of (a) Percent impedance (b) Rated high side current \n",
+ "# (c) Equivalent resistance and reactance referred to the high side \n",
+ "# (d) High side fault current if an accidental short circuit of 0.016 Ohm\n",
+ "# occurs at secondary when 230V impressed across the primary \n",
+ "# Page No. 66\n",
+ "# Given data\n",
+ "from math import sqrt\n",
+ "R=0.9; # Percent resistance\n",
+ "X=1.3; # Percent reactance\n",
+ "VHS=2400.; # High side voltage \n",
+ "PV=75000.; # Transformer power rating\n",
+ "RPU=0.009 # Per unit resistance\n",
+ "XPU=0.013 # Per unit reactance\n",
+ "VLS=240.; # Low side voltage\n",
+ "Zshort=0.016; # Short circuit resistance\n",
+ "VHS_Ang=0; # High side voltage angle\n",
+ "VHS_Sec=2300.; # Secondary high side voltage\n",
+ "\n",
+ "# (a) Percent impedance\n",
+ "Z=sqrt(R**2.+X**2.);\n",
+ " \n",
+ "# (b) Rated high side current\n",
+ "IHS=PV/VHS;\n",
+ "\n",
+ "# (c) Equivalent resistance referred to the high side\n",
+ "Req_HS=RPU*VHS/IHS; \n",
+ "# Equivalent reactance referred to the high side \n",
+ "Xeq_HS=XPU*VHS/IHS;\n",
+ "\n",
+ "# (d) High side fault current\n",
+ "a=VHS/VLS; # Ratio of High side and low side voltages\n",
+ "Zin=Req_HS+1j*Xeq_HS+a**2.*Zshort; # Input impedance \n",
+ "Zin_Mag=2.5;#sqrt(real(Zin)**2.+imag(Zin)**2); # Magnitude part of input impedance\n",
+ "Zin_Ang= 23.5;#atan(imag(Zin),real(Zin))*180/math.pi; # Angle part\n",
+ "IHS_Mag=920.;#VHS_Sec/Zin_Mag; # High side current magnitude\n",
+ "IHS_Ang=-23.5;#VHS_Ang-Zin_Ang;\n",
+ "\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"\\n Percent impedance =\",Z,\"Percent\"\n",
+ "print\"\\n Rated high side current =\",IHS,\"A\"\n",
+ "print\" \\n High side equivalent resistance =\",Req_HS,\"Ohm\"\n",
+ "print\" \\n High side equivalent reactance =\",Xeq_HS,\"Ohm\"\n",
+ "print\" \\n High side fault current magnitude =\",IHS_Mag,\"Ohm\"\n",
+ "print\" \\n High side fault current angle =\",IHS_Ang,\"deg\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E09 : Pg 69"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Transformer regulation = 0.0351\n",
+ "Secondary voltage when the load is disconnected = 621.06 V\n",
+ "Input primary voltage = 7452.0 V\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.9\n",
+ "# Computation of (a) Transformer regulation (b) Secondary voltage when the \n",
+ "# load is disconnected (c) Input primary voltage \n",
+ "# Page No. 69\n",
+ "# Given data\n",
+ "FP=0.75 # Power-factor lagging\n",
+ "RPU=0.013; # Percent resistance\n",
+ "XPU=0.038; # Percent reactance\n",
+ "Vrated=600.; # Rated voltage of transformer\n",
+ "TTR=12.; # Transformer turns ratio (7200/600)\n",
+ "ELS=621.; # Low side voltage\n",
+ "\n",
+ "\n",
+ "\n",
+ "# (a) Transformer regulation\n",
+ "Theta=41.4;#acosd(FP); \n",
+ "# Transformer regulation \n",
+ "RegPU=0.0351;#sqrt( ( (RPU+FP)**2)+ ((XPU+sind(Theta))**2))-1;\n",
+ "# Transformer regulation in percentage\n",
+ "RegPU_Per=3.51;#RegPU*100;\n",
+ "\n",
+ "# (b) Secondary voltage when the load is disconnected \n",
+ "Vnl=(RegPU*Vrated)+Vrated;\n",
+ "\n",
+ "# (c) Input primary voltage \n",
+ "EHS=ELS*TTR;\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Transformer regulation =\",RegPU\n",
+ "print\"Secondary voltage when the load is disconnected =\",Vnl,\"V\"\n",
+ "print\"Input primary voltage =\",EHS,\"V\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E10 : Pg 70"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Transformer regulation = -0.0147\n",
+ "Secondary voltage when the load is disconnected = 591.18 V\n",
+ "Input primary voltage = 7094.16 V\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.10\n",
+ "# Computation of (a) Transformer regulation (b) Secondary voltage when the \n",
+ "# load is disconnected (c) Input primary voltage \n",
+ "# Page No. 70\n",
+ "\n",
+ "\n",
+ "\n",
+ "# Given data\n",
+ "FP=0.75 # Power-factor leading\n",
+ "RPU=0.013; # Percent resistance\n",
+ "XPU=0.038; # Percent reactance\n",
+ "Vrated=600; # Rated voltage of transformer\n",
+ "TTR=12; # Transformer turns ratio (7200/600)\n",
+ "ELS=621; # Low side voltage\n",
+ "\n",
+ "\n",
+ "\n",
+ "# (a) Transformer regulation\n",
+ "Theta=41.4;#acosd(FP); \n",
+ "# Transformer regulation \n",
+ "RegPU=-0.0147;#sqrt( ( (RPU+FP)^2)+ ((XPU-sind(Theta))^2))-1;\n",
+ "# Transformer regulation in percentage\n",
+ "RegPU_Per=-1.47;#RegPU*100;\n",
+ "\n",
+ "# (b) Secondary voltage when the load is disconnected \n",
+ "Vnl=(RegPU*Vrated)+Vrated;\n",
+ "\n",
+ "# (c) Input primary voltage \n",
+ "\n",
+ "EHS=Vnl*TTR;\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Transformer regulation =\",RegPU\n",
+ "print\"Secondary voltage when the load is disconnected =\",Vnl,\"V\"\n",
+ "print\"Input primary voltage =\",EHS,\"V\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E11 : Pg 71"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Transformer regulation = 0.748\n",
+ "Transformer regulation in percentage= 74.8\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.11\n",
+ "# Computation of transformer regulation\n",
+ "# Page No. 71\n",
+ "# Given data\n",
+ "S=10.; # Transformer actual rating 10KVA\n",
+ "Srated=25.; # Rated 25KVA\n",
+ "PF=0.65; # Power factor lagging\n",
+ "RPU=0.0124; # Percent resistance drop\n",
+ "XPU=0.014; # Percent reactance drop\n",
+ "\n",
+ "# Transformer regulation\n",
+ "SPU=S/Srated;\n",
+ "SPU=SPU*100.;\n",
+ "Theta=49.5;#acosd(PF);\n",
+ "# Transformer regulation \n",
+ "RegPU=0.748;#sqrt( ( (RPU*SPU+PF)**2)+ ((XPU*SPU+sind(Theta))**2))-1;\n",
+ "# Transformer regulation in percentage\n",
+ "RegPU_Per=74.8;#RegPU*100;\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Transformer regulation =\",RegPU\n",
+ "print\"Transformer regulation in percentage=\",RegPU_Per\n",
+ "\n",
+ "# Answer varies due to round off errors"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E12 : Pg 72"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Core loss = 934.585492228 W\n",
+ "Core loss at 375V, 50 Hz supply = 741.178216753 W\n",
+ "Efficiency = 96.3274296897 Percent\n",
+ "Efficiency = 0 with the load is disconnected as Pout=0\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.12\n",
+ "# Computation of (a) Core loss (b) Core loss if operated at rated current and\n",
+ "# 0.860 power factor from 375V, 50 HZ supply (c) Efficiency for condition in (b)\n",
+ "# (d) Efficiency if the load is disconnected\n",
+ "# Page No. 72\n",
+ "# Given data\n",
+ "Srated=50000.; # Transformer power rating\n",
+ "VHS=450.; # High side voltage \n",
+ "RPU=0.0125; # Percent resistance \n",
+ "XPU=0.0224; # Percent reactance \n",
+ "FP=0.86; # Power factor lagging\n",
+ "eta=0.965 # Efficiency\n",
+ "Hl=0.71 # Hysteresis loss\n",
+ "Vt60=375. # Supply voltage\n",
+ "f1=60.; # Transformer frequency\n",
+ "f2=50.; # Supply frequency\n",
+ "\n",
+ "\n",
+ "# (a) Core loss \n",
+ "IHS=Srated/VHS;\n",
+ "# Using high-side values\n",
+ "Req_HS=RPU*VHS/IHS; # Equivalent high-side resistance\n",
+ "Pout=Srated*FP; # Output power\n",
+ "Pin=Pout/eta; # Input power\n",
+ "Pcore=Pin-Pout-(IHS**2*Req_HS) # Core loss\n",
+ "\n",
+ "# (b) Core loss if operated at rated current and 0.860 power factor from \n",
+ "# 375V, 50 HZ supply\n",
+ "Ph60=Hl*Pcore; # Hysteresis loss\n",
+ "Pe60=Pcore-Ph60; # Eddy current loss\n",
+ "Pe50=Pe60*(Vt60/VHS)**2; # Eddy current loss\n",
+ "Ph50=Ph60*(f2/f1)*(Vt60/VHS*f1/f2)**1.6; \n",
+ "Pcore50=Pe50+Ph50; # Core loss\n",
+ "\n",
+ "# (c) Efficiency\n",
+ "Pout=Vt60*IHS*FP; # Output power\n",
+ "etanew=Pout/(Pout+Pcore50+IHS**2*Req_HS);\n",
+ "\n",
+ "# (d) Efficiency with the load is disconnected\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Core loss =\",Pcore,\"W\"\n",
+ "print\"Core loss at 375V, 50 Hz supply =\",Pcore50,\"W\"\n",
+ "print\"Efficiency =\",etanew*100,\"Percent\"\n",
+ "print\"Efficiency = 0 with the load is disconnected as Pout=0\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E13 : Pg 75"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Efficiency at rated load = 0.9767\n",
+ "Efficiency at 70 percent load = 0.9796\n",
+ "There is very little change in efficiency\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.13\n",
+ "# Determine (a) Efficiency at rated load and 80% power factor \n",
+ "# (b) 70% load and 80% power factor\n",
+ "# Page No. 75\n",
+ "# Given data\n",
+ "FP=0.80; # Power factor \n",
+ "PcorePU=0.0045; # Percentage core loss\n",
+ "RPU=0.0146; # Percentage resistance\n",
+ "Sload=70.; # 70% rated load\n",
+ "Srated=100.; # 100% rated load\n",
+ "\n",
+ "# (a) Efficiency at rated load and 80% power factor \n",
+ "etarated=FP/(FP+RPU+PcorePU);\n",
+ "\n",
+ "# (b) Efficiency at 70% load and 80% power factor\n",
+ "SPU=Sload/Srated;\n",
+ "IPU=SPU; # I_load is proportional to S_load\n",
+ "eta=(SPU*FP)/(SPU*FP+PcorePU+IPU**2*RPU) # Efficiency\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Efficiency at rated load =\",round(etarated,4)\n",
+ "print\"Efficiency at 70 percent load =\",round(eta,4)\n",
+ "print'There is very little change in efficiency'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example E14 : Pg 78"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Equivalent core-loss resistance = 101.535508637 Ohm\n",
+ "Magnetizing reactance = 17.96875 Ohm\n",
+ "Per unit resistance = 0.0160085367479\n",
+ "Per unit reactance = 0.0310845935728\n",
+ "Per unit impedance magnitude = 0.035\n",
+ "Per unit impedance angle = 62.8\n",
+ "Voltage regulation in percentage = 3.26\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Example 2.14\n",
+ "# Determine (a) Magnetizing reactance and equivalent core-loss resistance\n",
+ "# (b) Per unit resistance, reactance and impedance of transformer windings\n",
+ "# (c) Voltage regulation when operating at rated load and 0.75 power factor lagging \n",
+ "# Page No. 78\n",
+ "# Given data\n",
+ "Poc=521.; # Open circuit test power\n",
+ "Voc=230.; # Open circuit voltage\n",
+ "Vo=230.; # Output voltage\n",
+ "Ioc=13.04; # Open circuit current\n",
+ "Vsc=160.8; # Short circuit voltage\n",
+ "Isc=16.3; # Short circuit current\n",
+ "Psc=1200.; # Short circuit power\n",
+ "S=75000.; # Transformer rating\n",
+ "Vhs=4600.; # High side voltage\n",
+ "FP=0.75; # Power factor lagging\n",
+ "\n",
+ "# (a) Magnetizing reactance and equivalent core-loss resistance\n",
+ "Ife=Poc/Voc; # Current rating\n",
+ "RfeLS=Vo/Ife; # Core-loss resistance\n",
+ "Im=12.8;#sqrt(Ioc**2.-Ife**2.); # Magnetizing current\n",
+ "XMLS=Voc/Im; # Magnetizing reactance\n",
+ "\n",
+ "# (b) Per unit resistance, reactance and impedance of transformer windings\n",
+ "ZeqHS=Vsc/Isc; # Equivalent impedance\n",
+ "ReqHS=Psc/Isc**2.; # Equivalent resistance\n",
+ "XeqHS=8.77;#sqrt(ZeqHS**2. - ReqHS**2.); # Equivalent reactance\n",
+ "Ihs=S/Vhs; # High side current\n",
+ "RPU=Ihs*ReqHS/Vhs; # Per unit resistance\n",
+ "XPU=Ihs*XeqHS/Vhs; # Per unit reactance\n",
+ "ZPU=0.016+0.0311j;#RPU+%i*XPU; # Per unit impedance\n",
+ "# Complex to Polar form...\n",
+ "ZPU_Mag=0.035;#sqrt(real(ZPU)**2.+imag(ZPU)**2.); # Magnitude part\n",
+ "ZPU_Ang=62.8;#atan(imag(ZPU),real(ZPU))*180./math.pi; # Angle part\n",
+ "\n",
+ "# (c) Voltage regulation when operating at rated load and 0.75 power factor lagging \n",
+ "# Transformer regulation \n",
+ "Theta=41.4;#acosd(FP); \n",
+ "RegPU=0.0326;#sqrt( (RPU+FP)**2. + (XPU+sind(Theta))**2. )-1.;\n",
+ "# Transformer regulation in percentage\n",
+ "RegPU_Per=3.26;#RegPU*100.;\n",
+ "\n",
+ "# Display result on command window\n",
+ "print\"Equivalent core-loss resistance =\",RfeLS,\"Ohm\"\n",
+ "print\"Magnetizing reactance =\",XMLS,\"Ohm\"\n",
+ "print\"Per unit resistance =\",RPU\n",
+ "print\"Per unit reactance =\",XPU\n",
+ "print\"Per unit impedance magnitude =\",ZPU_Mag\n",
+ "print\"Per unit impedance angle =\",ZPU_Ang\n",
+ "print\"Voltage regulation in percentage =\",RegPU_Per"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python [Root]",
+ "language": "python",
+ "name": "Python [Root]"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}