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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 33: PROTECTIVE RELAYS"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 33.1: Time_of_operation_of_the_relay.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// A Texbook on POWER SYSTEM ENGINEERING\n",
+"// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar\n",
+"// DHANPAT RAI & Co.\n",
+"// SECOND EDITION \n",
+"\n",
+"// PART III : SWITCHGEAR AND PROTECTION\n",
+"// CHAPTER 7: PROTECTIVE RELAYS\n",
+"\n",
+"// EXAMPLE : 7.1 :\n",
+"// Page number 595-596\n",
+"clear ; clc ; close ; // Clear the work space and console\n",
+"\n",
+"// Given data\n",
+"I_setting = 150.0 // Current setting of IDMT(%)\n",
+"t_mult = 0.5 // Time multiplier setting\n",
+"ratio_CT = 500.0/5 // CT ratio\n",
+"CT_sec = 5.0 // Secondary turn\n",
+"I_f = 6000.0 // Fault current\n",
+"\n",
+"// Calculations\n",
+"I_sec_fault = I_f/ratio_CT // Secondary fault current(A)\n",
+"PSM = I_sec_fault/(CT_sec*I_setting/100) // Plug setting multiplier\n",
+"t = 3.15 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"time_oper = t*t_mult // Operating time(sec)\n",
+"\n",
+"// Results\n",
+"disp('PART III - EXAMPLE : 7.1 : SOLUTION :-')\n",
+"printf('\nTime of operation of the relay = %.3f sec', time_oper)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 33.2: Time_of_operation_of_the_relay.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// A Texbook on POWER SYSTEM ENGINEERING\n",
+"// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar\n",
+"// DHANPAT RAI & Co.\n",
+"// SECOND EDITION \n",
+"\n",
+"// PART III : SWITCHGEAR AND PROTECTION\n",
+"// CHAPTER 7: PROTECTIVE RELAYS\n",
+"\n",
+"// EXAMPLE : 7.2 :\n",
+"// Page number 596\n",
+"clear ; clc ; close ; // Clear the work space and console\n",
+"\n",
+"// Given data\n",
+"ratio = 525.0/1 // CT ratio\n",
+"CT_sec = 1.0 // Secondary turn\n",
+"t_mult = 0.3 // Time multiplier setting\n",
+"I_f = 5250.0 // Fault current(A)\n",
+"\n",
+"// Calculations\n",
+"I_sec_fault = I_f/ratio // Secondary fault current(A)\n",
+"PSM = I_sec_fault/(1.25*CT_sec) // Plug setting multiplier\n",
+"t = 3.15 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"time_oper = t*t_mult // Operating time(sec)\n",
+"\n",
+"// Results\n",
+"disp('PART III - EXAMPLE : 7.2 : SOLUTION :-')\n",
+"printf('\nTime of operation of the relay = %.3f sec', time_oper)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 33.3: EX33_3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// A Texbook on POWER SYSTEM ENGINEERING\n",
+"// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar\n",
+"// DHANPAT RAI & Co.\n",
+"// SECOND EDITION \n",
+"\n",
+"// PART III : SWITCHGEAR AND PROTECTION\n",
+"// CHAPTER 7: PROTECTIVE RELAYS\n",
+"\n",
+"// EXAMPLE : 7.3 :\n",
+"// Page number 596\n",
+"clear ; clc ; close ; // Clear the work space and console\n",
+"\n",
+"// Given data\n",
+"MVA = 20.0 // Transformer MVA\n",
+"overload = 30.0 // Overload of transformer(%)\n",
+"kV = 11.0 // Bus bar rating(kV)\n",
+"CT_trans = 1000.0/5 // Transformer CT\n",
+"CT_cb = 400.0/5 // Circuit breaker CT\n",
+"ps = 125.0 // Plug setting(%)\n",
+"ts = 0.3 // Time setting\n",
+"I_f = 5000.0 // Fault current(A)\n",
+"t_margin = 0.5 // Discriminative time margin(sec)\n",
+"\n",
+"// Calculations\n",
+"I_sec_fault = I_f/CT_cb // Secondary fault current(A)\n",
+"CT_cb_sec = 5.0 // Secondary turn\n",
+"PSM = I_sec_fault/(ps/100*CT_cb_sec) // Plug setting multiplier\n",
+"t = 2.8 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"time_oper = t*ts // Operating time of feeder relay(sec)\n",
+"I_ol = (1+(overload/100))*MVA*1000/(3**0.5*kV) // Overload current(A)\n",
+"I_sec_T = I_ol/CT_trans // Secondary current(A)\n",
+"CT_T_sec = 5.0 // Secondary turn of transformer\n",
+"PSM_T = I_sec_T/CT_T_sec // Minimum plug setting multiplier of transformer\n",
+"I_sec_T1 = I_f/CT_trans // Secondary fault current(A)\n",
+"ps_T1 = 1.5 // Plug setting as per standard value\n",
+"PSM_T1 = I_sec_T1/(CT_T_sec*ps) // Plug setting multiplier of transformer\n",
+"t_T1 = 7.0 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"time_setting = (time_oper+t_margin)/t_T1 // Time setting of transformer\n",
+"\n",
+"// Results\n",
+"disp('PART III - EXAMPLE : 7.3 : SOLUTION :-')\n",
+"printf('\nOperating time of feeder relay = %.2f sec', time_oper)\n",
+"printf('\nMinimum plug setting of transformer relay, P.S > %.2f ', PSM_T)\n",
+"printf('\nTime setting of transformer = %.3f ', time_setting)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 33.4: Time_of_operation_of_the_two_relays.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// A Texbook on POWER SYSTEM ENGINEERING\n",
+"// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar\n",
+"// DHANPAT RAI & Co.\n",
+"// SECOND EDITION \n",
+"\n",
+"// PART III : SWITCHGEAR AND PROTECTION\n",
+"// CHAPTER 7: PROTECTIVE RELAYS\n",
+"\n",
+"// EXAMPLE : 7.4 :\n",
+"// Page number 596-597\n",
+"clear ; clc ; close ; // Clear the work space and console\n",
+"\n",
+"// Given data\n",
+"I_f = 2000.0 // Fault current(A)\n",
+"ratio_CT = 200.0/1 // CT ratio\n",
+"R_1 = 100.0 // Relay 1 set on(%)\n",
+"R_2 = 125.0 // Relay 2 set on(%)\n",
+"t_margin = 0.5 // Discriminative time margin(sec)\n",
+"TSM_1 = 0.2 // Time setting multiplier of relay 1\n",
+"\n",
+"// Calculations\n",
+"CT_sec = 200.0 // CT secondary\n",
+"PSM_1 = I_f*100/(CT_sec*R_1) // PSM of relay 1\n",
+"t_1 = 2.8 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"time_oper_1 = TSM_1*t_1 // Operating time of relay with TSM of 0.2(Sec)\n",
+"PSM_2 = I_f*100/(CT_sec*R_2) // PSM of relay 2\n",
+"t_2 = 3.15 // Time against this PSM(sec). From graph E7.1 in textbook page no 595\n",
+"actual_time_2 = time_oper_1+t_margin // Actual time of operation of relay 2(sec)\n",
+"TSM_2 = actual_time_2/t_2 // Time setting multiplier of relay 2\n",
+"\n",
+"// Results\n",
+"disp('PART III - EXAMPLE : 7.4 : SOLUTION :-')\n",
+"printf('\nTime of operation of relay 1 = %.2f sec', time_oper_1)\n",
+"printf('\nActual time of operation of relay 2 = %.2f sec', actual_time_2)\n",
+"printf('\nT.S.M of relay 2 = %.4f', TSM_2)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 33.6: Will_the_relay_operate_the_trip_of_the_breaker.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// A Texbook on POWER SYSTEM ENGINEERING\n",
+"// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar\n",
+"// DHANPAT RAI & Co.\n",
+"// SECOND EDITION \n",
+"\n",
+"// PART III : SWITCHGEAR AND PROTECTION\n",
+"// CHAPTER 7: PROTECTIVE RELAYS\n",
+"\n",
+"// EXAMPLE : 7.6 :\n",
+"// Page number 611\n",
+"clear ; clc ; close ; // Clear the work space and console\n",
+"\n",
+"// Given data\n",
+"I_min = 0.1 // Relay minimum pick up current(A)\n",
+"slope = 10.0 // Slope characteristic(%)\n",
+"CT_ratio = 400.0/5 // CT ratio\n",
+"I_1 = 320.0 // Current(A)\n",
+"I_2 = 304.0 // Current(A)\n",
+"\n",
+"// Calculations\n",
+"I_op_coil = (I_1-I_2)/CT_ratio // Current in operating coil(A)\n",
+"I_re_coil = 1.0*(I_1+I_2)/(2*CT_ratio) // Current in restraining coil(A)\n",
+"I_re_coil_slope = I_re_coil*slope/100 // Current in restraining coil with slope(A)\n",
+"\n",
+"// Results\n",
+"disp('PART III - EXAMPLE : 7.6 : SOLUTION :-')\n",
+"if(I_op_coil<I_re_coil_slope) then\n",
+" printf('\nRelay will not trip the circuit breaker')\n",
+"else then\n",
+" print('\nRelay will trip the circuit breaker')\n",
+"end"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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