ct_sat_calculator - ieee version plus2000.xls

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Page 1: CT_SAT_Calculator - IEEE Version PLUS2000.xls

8/13/2019 CT_SAT_Calculator - IEEE Version PLUS2000.xls

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Page 2: CT_SAT_Calculator - IEEE Version PLUS2000.xls

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Calculation of Mag. Of Fund'l Calculation of Mag. Of Fund'lis = IDEAL ACTUAL

step time pri cur/N fl-linkages exc curr sec cur d/dt(is)number t i1(t)/N l (t) ie(t) Dl (t) i2(t) I1(t)*sin I1(t)*cos I1MAG I2(t)*sin I2(t)*cos I2MAG

seconds amps Wb-turns amps Wb-turns amps amps/s

TIME IDEAL ACTUAL

-200 -0.0167 0.000 0.39026 0.183 -0.00002 -0.183 -3957 0 0 -199 -0.0166 0.000 0.39026 0.183 -0.00002 -0.183 -2808 0 0 -198 -0.0165 0.000 0.39026 0.183 -0.00002 -0.183 -1659 0 0 -197 -0.0164 0.000 0.39026 0.183 -0.00002 -0.183 -513 0 0

-196 -0.0163 0.000 0.39026 0.183 -0.00002 -0.183 630 0 0 -195 -0.0163 0.000 0.39026 0.183 -0.00001 -0.183 1768 0 0 -194 -0.0162 0.000 0.39026 0.183 -0.00001 -0.183 2901 0 0 -193 -0.0161 0.000 0.39026 0.183 -0.00001 -0.183 4026 0 0 -192 -0.0160 0.000 0.39026 0.183 -0.00001 -0.183 5144 0 0 -191 -0.0159 0.000 0.39026 0.183 -0.00001 -0.183 6254 0 0 -190 -0.0158 0.000 0.39026 0.183 -0.00001 -0.183 7353 0 0 -189 -0.0158 0.000 0.39026 0.183 -0.00001 -0.183 8441 0 0 -188 -0.0157 0.000 0.39026 0.183 -0.00001 -0.183 9516 0 0 -187 -0.0156 0.000 0.39026 0.183 -0.00001 -0.183 10579 0 0

-186 -0.0155 0.000 0.39026 0.183 -0.00001 -0.183 11627 0 0 -185 -0.0154 0.000 0.39026 0.183 -0.00001 -0.183 12661 0 0 -184 -0.0153 0.000 0.39026 0.183 -0.00001 -0.183 13677 0 0 -183 -0.0153 0.000 0.39026 0.183 -0.00001 -0.183 14677 0 0 -182 -0.0152 0.000 0.39026 0.183 -0.00001 -0.183 15658 0 0 -181 -0.0151 0.000 0.39026 0.183 -0.00001 -0.183 16620 0 0 -180 -0.0150 0.000 0.39026 0.183 -0.00001 -0.183 17562 0 0 -179 -0.0149 0.000 0.39026 0.183 -0.00001 -0.183 18483 0 0 -178 -0.0148 0.000 0.39026 0.183 -0.00001 -0.183 19382 0 0 -177 -0.0148 0.000 0.39026 0.183 -0.00001 -0.183 20257 0 0 -176 -0.0147 0.000 0.39026 0.183 -0.00001 -0.183 21110 0 0 -175 -0.0146 0.000 0.39026 0.183 -0.00001 -0.183 21937 0 0 -174 -0.0145 0.000 0.39026 0.183 -0.00001 -0.183 22740 0 0 -173 -0.0144 0.000 0.39026 0.183 -0.00001 -0.183 23516 0 0 -172 -0.0143 0.000 0.39026 0.183 -0.00001 -0.183 24265 0 0 -171 -0.0143 0.000 0.39026 0.183 -0.00001 -0.183 24987 0 0 -170 -0.0142 0.000 0.39026 0.183 -0.00001 -0.183 25680 0 0 -169 -0.0141 0.000 0.39026 0.183 -0.00001 -0.183 26344 0 0

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-113 -0.0094 0.000 0.39026 0.183 -0.00001 -0.183 11158 0 0 -112 -0.0093 0.000 0.39026 0.183 -0.00001 -0.183 10111 0 0 -111 -0.0093 0.000 0.39026 0.183 -0.00001 -0.183 9050 0 0 -110 -0.0092 0.000 0.39026 0.183 -0.00001 -0.183 7978 0 0 -109 -0.0091 0.000 0.39026 0.183 -0.00001 -0.183 6895 0 0 -108 -0.0090 0.000 0.39026 0.183 -0.00001 -0.183 5801 0 0 -107 -0.0089 0.000 0.39026 0.183 -0.00001 -0.183 4699 0 0 -106 -0.0088 0.000 0.39026 0.183 -0.00001 -0.183 3589 0 0 -105 -0.0088 0.000 0.39026 0.183 -0.00001 -0.183 2472 0 0 -104 -0.0087 0.000 0.39026 0.183 -0.00001 -0.183 1349 0 0 -103 -0.0086 0.000 0.39026 0.183 -0.00002 -0.183 222 0 0 -102 -0.0085 0.000 0.39026 0.183 -0.00002 -0.183 -908 0 0 -101 -0.0084 0.000 0.39026 0.183 -0.00002 -0.183 -2041 0 0

-100 -0.0083 0.000 0.39026 0.183 -0.00002 -0.183 -3175 0 0 -99 -0.0083 0.000 0.39026 0.183 -0.00002 -0.183 -4309 0 0 -98 -0.0082 0.000 0.39026 0.183 -0.00002 -0.183 -5441 0 0 -97 -0.0081 0.000 0.39026 0.183 -0.00002 -0.183 -6572 0 0 -96 -0.0080 0.000 0.39026 0.183 -0.00002 -0.183 -7699 0 0 -95 -0.0079 0.000 0.39026 0.183 -0.00002 -0.183 -8822 0 0 -94 -0.0078 0.000 0.39026 0.183 -0.00002 -0.183 -9939 0 0 -93 -0.0078 0.000 0.39026 0.183 -0.00002 -0.183 -11049 0 0 -92 -0.0077 0.000 0.39026 0.183 -0.00002 -0.183 -12152 0 0 -91 -0.0076 0.000 0.39026 0.183 -0.00002 -0.183 -13246 0 0

-90 -0.0075 0.000 0.39026 0.183 -0.00002 -0.183 -14329 0 0 -89 -0.0074 0.000 0.39026 0.183 -0.00002 -0.183 -15402 0 0 -88 -0.0073 0.000 0.39026 0.183 -0.00002 -0.183 -16462 0 0 -87 -0.0073 0.000 0.39026 0.183 -0.00002 -0.183 -17510 0 0 -86 -0.0072 0.000 0.39026 0.183 -0.00002 -0.183 -18543 0 0 -85 -0.0071 0.000 0.39026 0.183 -0.00002 -0.183 -19561 0 0 -84 -0.0070 0.000 0.39026 0.183 -0.00002 -0.183 -20562 0 0 -83 -0.0069 0.000 0.39026 0.183 -0.00002 -0.183 -21547 0 0 -82 -0.0068 0.000 0.39026 0.183 -0.00002 -0.183 -22513 0 0 -81 -0.0068 0.000 0.39026 0.183 -0.00002 -0.183 -23460 0 0 -80 -0.0067 0.000 0.39026 0.183 -0.00002 -0.183 -24387 0 0 -79 -0.0066 0.000 0.39026 0.183 -0.00002 -0.183 -25292 0 0 -78 -0.0065 0.000 0.39026 0.183 -0.00002 -0.183 -26176 0 0 -77 -0.0064 0.000 0.39026 0.183 -0.00002 -0.183 -27037 0 0 -76 -0.0063 0.000 0.39026 0.183 -0.00002 -0.183 -27874 0 0 -75 -0.0063 0.000 0.39026 0.183 -0.00002 -0.183 -28687 0 0 -74 -0.0062 0.000 0.39026 0.183 -0.00002 -0.183 -29475 0 0 -73 -0.0061 0.000 0.39026 0.183 -0.00002 -0.183 -30236 0 0

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-65 -0.0054 0.000 0.39026 0.183 -0.00002 -0.183 -35301 0 0 -64 -0.0053 0.000 0.39026 0.183 -0.00002 -0.183 -35796 0 0 -63 -0.0053 0.000 0.39026 0.183 -0.00002 -0.183 -36260 0 0 -62 -0.0052 0.000 0.39026 0.183 -0.00002 -0.183 -36690 0 0 -61 -0.0051 0.000 0.39026 0.183 -0.00002 -0.183 -37087 0 0 -60 -0.0050 0.000 0.39026 0.183 -0.00002 -0.183 -37450 0 0 -59 -0.0049 0.000 0.39026 0.183 -0.00002 -0.183 -37779 0 0 -58 -0.0048 0.000 0.39026 0.183 -0.00002 -0.183 -38074 0 0 -57 -0.0048 0.000 0.39026 0.183 -0.00002 -0.183 -38334 0 0 -56 -0.0047 0.000 0.39026 0.183 -0.00002 -0.183 -38559 0 0 -55 -0.0046 0.000 0.39026 0.183 -0.00002 -0.183 -38748 0 0 -54 -0.0045 0.000 0.39026 0.183 -0.00002 -0.183 -38903 0 0 -53 -0.0044 0.000 0.39026 0.183 -0.00002 -0.183 -39022 0 0

-52 -0.0043 0.000 0.39026 0.183 -0.00002 -0.183 -39105 0 0 -51 -0.0043 0.000 0.39026 0.183 -0.00002 -0.183 -39152 0 0 -50 -0.0042 0.000 0.39026 0.183 -0.00002 -0.183 -39164 0 0 -49 -0.0041 0.000 0.39026 0.183 -0.00002 -0.183 -39140 0 0 -48 -0.0040 0.000 0.39026 0.183 -0.00002 -0.183 -39080 0 0 -47 -0.0039 0.000 0.39026 0.183 -0.00002 -0.183 -38984 0 0 -46 -0.0038 0.000 0.39026 0.183 -0.00002 -0.183 -38853 0 0 -45 -0.0038 0.000 0.39026 0.183 -0.00002 -0.183 -38686 0 0 -44 -0.0037 0.000 0.39026 0.183 -0.00002 -0.183 -38483 0 0 -43 -0.0036 0.000 0.39026 0.183 -0.00002 -0.183 -38246 0 0 -42 -0.0035 0.000 0.39026 0.183 -0.00002 -0.183 -37973 0 0 -41 -0.0034 0.000 0.39026 0.183 -0.00002 -0.183 -37666 0 0 -40 -0.0033 0.000 0.39026 0.183 -0.00002 -0.183 -37324 0 0 -39 -0.0033 0.000 0.39026 0.183 -0.00002 -0.183 -36949 0 0 -38 -0.0032 0.000 0.39026 0.183 -0.00002 -0.183 -36539 0 0 -37 -0.0031 0.000 0.39026 0.183 -0.00002 -0.183 -36097 0 0 -36 -0.0030 0.000 0.39026 0.183 -0.00002 -0.183 -35621 0 0 -35 -0.0029 0.000 0.39026 0.183 -0.00002 -0.183 -35113 0 0 -34 -0.0028 0.000 0.39026 0.183 -0.00002 -0.183 -34573 0 0 -33 -0.0028 0.000 0.39026 0.183 -0.00002 -0.183 -34002 0 0 -32 -0.0027 0.000 0.39026 0.183 -0.00002 -0.183 -33399 0 0 -31 -0.0026 0.000 0.39026 0.183 -0.00002 -0.183 -32767 0 0 -30 -0.0025 0.000 0.39026 0.183 -0.00002 -0.183 -32105 0 0 -29 -0.0024 0.000 0.39026 0.183 -0.00002 -0.183 -31414 0 0 -28 -0.0023 0.000 0.39026 0.183 -0.00002 -0.183 -30694 0 0 -27 -0.0023 0.000 0.39026 0.183 -0.00002 -0.183 -29948 0 0 -26 -0.0022 0.000 0.39026 0.183 -0.00002 -0.183 -29174 0 0 -25 -0.0021 0.000 0.39026 0.183 -0.00002 -0.183 -28374 0 0

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-17 -0.0014 0.000 0.39026 0.183 -0.00002 -0.183 -21133 0 0 -16 -0.0013 0.000 0.39026 0.183 -0.00002 -0.183 -20136 0 0 -15 -0.0013 0.000 0.39026 0.183 -0.00002 -0.183 -19122 0 0 -14 -0.0012 0.000 0.39026 0.183 -0.00002 -0.183 -18091 0 0 -13 -0.0011 0.000 0.39026 0.183 -0.00002 -0.183 -17046 0 0 -12 -0.0010 0.000 0.39026 0.183 -0.00002 -0.183 -15986 0 0 -11 -0.0009 0.000 0.39026 0.183 -0.00002 -0.183 -14913 0 0 -10 -0.0008 0.000 0.39026 0.183 -0.00002 -0.183 -13827 0 0 -9 -0.0008 0.000 0.39026 0.183 -0.00002 -0.183 -12731 0 0 -8 -0.0007 0.000 0.39026 0.183 -0.00002 -0.183 -11625 0 0 -7 -0.0006 0.000 0.39026 0.183 -0.00002 -0.183 -10510 0 0 -6 -0.0005 0.000 0.39026 0.183 -0.00002 -0.183 -9387 0 0 -5 -0.0004 0.000 0.39026 0.183 -0.00002 -0.183 -8257 0 0

-4 -0.0003 0.000 0.39026 0.183 -0.00002 -0.183 -7122 0 0 -3 -0.0003 0.000 0.39026 0.183 -0.00002 -0.183 -5982 0 0 -2 -0.0002 0.000 0.39026 0.183 -0.00002 -0.183 -4839 0 0 -1 -0.0001 0.000 0.39026 0.183 -0.00002 -0.183 -3693 0 0 0 0.0000 0.000 0.39026 0.183 -0.00002 -0.183 -2547 0 0 0 0 0 0 1 0.0001 -0.164 0.39024 0.183 -0.00003 -0.347 -1401 0 0 0 0 0 0 2 0.0002 -0.233 0.39021 0.183 -0.00003 -0.416 -255 0 0 0 0 0 0 3 0.0003 -0.207 0.39018 0.182 -0.00003 -0.390 888 0 0 0 0 0 0 4 0.0003 -0.086 0.39014 0.182 -0.00002 -0.268 2027 0 0 0 0 0 0 5 0.0004 0.131 0.39012 0.182 0.00000 -0.052 3163 0 0 0 0 0 0 6 0.0005 0.441 0.39012 0.182 0.00002 0.259 4292 0 0 0 0 0 0 7 0.0006 0.846 0.39014 0.182 0.00006 0.664 5415 0 1 0 0 1 0 8 0.0007 1.344 0.39020 0.183 0.00010 1.161 6530 0 1 0 0 1 0 9 0.0008 1.934 0.39030 0.183 0.00015 1.751 7636 1 2 0 0 2 0

10 0.0008 2.616 0.39044 0.183 0.00020 2.433 8732 1 2 0 1 2 0 11 0.0009 3.389 0.39065 0.184 0.00027 3.205 9817 1 3 0 1 3 0 12 0.0010 4.252 0.39092 0.185 0.00034 4.067 10890 2 4 0 1 4 0 13 0.0011 5.204 0.39126 0.186 0.00042 5.018 11949 2 5 0 2 5 0 14 0.0012 6.243 0.39168 0.187 0.00051 6.056 12995 3 6 0 3 5 0 15 0.0013 7.369 0.39218 0.189 0.00060 7.180 14025 3 7 0 3 6 0 16 0.0013 8.580 0.39278 0.191 0.00070 8.389 15039 4 8 0 4 7 0 17 0.0014 9.875 0.39348 0.193 0.00081 9.682 16035 5 8 0 5 8 0 18 0.0015 11.252 0.39429 0.196 0.00092 11.056 17013 6 10 0 6 9 0 19 0.0016 12.710 0.39522 0.199 0.00104 12.511 17973 7 11 1 7 10 1 20 0.0017 14.247 0.39626 0.203 0.00117 14.044 18911 8 12 1 8 11 1 21 0.0018 15.861 0.39743 0.207 0.00131 15.654 19829 10 13 1 10 12 1 22 0.0018 17.551 0.39874 0.212 0.00145 17.339 20725 11 14 1 11 13 1 23 0.0019 19.315 0.40019 0.217 0.00159 19.098 21598 13 14 1 13 14 1

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31 0.0026 35.830 0.41750 0.291 0.00296 35.539 27661 30 20 3 29 20 3 32 0.0027 38.162 0.42046 0.306 0.00315 37.856 28293 32 20 3 32 20 3 33 0.0028 40.545 0.42362 0.322 0.00335 40.223 28894 35 21 3 35 20 3 34 0.0028 42.977 0.42697 0.340 0.00355 42.637 29465 38 21 3 37 21 3 35 0.0029 45.455 0.43052 0.360 0.00376 45.095 30004 41 21 4 40 20 4 36 0.0030 47.976 0.43428 0.382 0.00396 47.594 30511 43 20 4 43 20 4 37 0.0031 50.539 0.43825 0.407 0.00418 50.132 30986 46 20 4 46 20 4 38 0.0032 53.140 0.44242 0.434 0.00439 52.705 31427 49 20 5 49 19 5 39 0.0033 55.776 0.44681 0.465 0.00461 55.311 31836 52 19 5 52 19 5 40 0.0033 58.445 0.45142 0.499 0.00483 57.946 32211 56 18 6 55 18 5 41 0.0034 61.143 0.45624 0.537 0.00505 60.606 32551 59 17 6 58 17 6 42 0.0035 63.869 0.46129 0.579 0.00527 63.290 32857 62 16 6 61 16 6 43 0.0036 66.619 0.46656 0.626 0.00550 65.992 33129 65 15 7 64 14 7

44 0.0037 69.389 0.47206 0.679 0.00572 68.710 33365 68 13 7 67 13 7 45 0.0038 72.179 0.47778 0.738 0.00595 71.440 33567 71 11 8 71 11 8 46 0.0038 74.983 0.48373 0.804 0.00618 74.179 33733 74 9 8 74 9 8 47 0.0039 77.800 0.48991 0.877 0.00640 76.922 33863 77 7 9 77 7 9 48 0.0040 80.626 0.49631 0.960 0.00663 79.666 33957 80 5 9 80 5 9 49 0.0041 83.458 0.50294 1.052 0.00686 82.406 34016 83 3 10 82 3 10 50 0.0042 86.294 0.50980 1.155 0.00709 85.139 34039 86 0 10 85 0 10 51 0.0043 89.130 0.51689 1.270 0.00731 87.860 34026 89 -3 11 88 -3 11 52 0.0043 91.964 0.52421 1.400 0.00754 90.565 33977 92 -6 12 90 -6 11 53 0.0044 94.792 0.53174 1.544 0.00776 93.248 33893 94 -9 12 93 -9 12 54 0.0045 97.612 0.53951 1.707 0.00798 95.905 33773 97 -12 13 95 -12 13 55 0.0046 100.420 0.54749 1.889 0.00820 98.531 33617 99 -16 13 97 -15 13 56 0.0047 103.214 0.55569 2.093 0.00842 101.121 33426 101 -19 14 99 -19 14 57 0.0048 105.990 0.56411 2.322 0.00863 103.668 33199 103 -23 15 101 -23 15 58 0.0048 108.746 0.57274 2.578 0.00884 106.168 32938 105 -27 16 103 -26 15 59 0.0049 111.479 0.58157 2.865 0.00904 108.613 32642 107 -31 16 104 -30 16 60 0.0050 114.185 0.59061 3.187 0.00924 110.998 32311 109 -35 17 106 -34 17 61 0.0051 116.863 0.59985 3.547 0.00943 113.316 31947 110 -40 18 107 -38 17 62 0.0052 119.509 0.60928 3.951 0.00962 115.558 31548 111 -44 18 107 -43 18 63 0.0053 122.120 0.61890 4.401 0.00980 117.719 31116 112 -48 19 108 -47 19 64 0.0053 124.694 0.62869 4.905 0.00997 119.789 30652 113 -53 20 108 -51 20

65 0.0054 127.228 0.63866 5.467 0.01013 121.760 30155 113 -58 21 108 -55 20 66 0.0055 129.719 0.64879 6.095 0.01029 123.624 29626 114 -62 22 108 -60 21 67 0.0056 132.165 0.65908 6.793 0.01043 125.371 29065 114 -67 22 108 -64 22 68 0.0057 134.562 0.66951 7.571 0.01057 126.991 28474 114 -72 23 107 -68 23 69 0.0058 136.909 0.68007 8.435 0.01069 128.475 27852 113 -77 24 106 -72 23 70 0.0058 139.203 0.69076 9.393 0.01080 129.811 27201 113 -82 25 105 -76 24 71 0.0059 141.442 0.70156 10.454 0.01090 130.988 26521 112 -87 26 104 -80 25

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79 0.0066 157.079 0.79016 23.749 0.01109 133.330 20121 96 -124 33 82 -105 31 80 0.0067 158.718 0.80124 26.146 0.01102 132.573 19213 93 -128 33 78 -107 32 81 0.0068 160.281 0.81227 28.731 0.01094 131.550 18284 90 -133 34 74 -109 32 82 0.0068 161.765 0.82320 31.508 0.01083 130.257 17335 87 -137 35 70 -110 33 83 0.0069 163.170 0.83403 34.482 0.01070 128.688 16367 83 -140 36 66 -111 34 84 0.0070 164.492 0.84473 37.652 0.01054 126.841 15381 79 -144 37 61 -111 34 85 0.0071 165.733 0.85528 41.016 0.01037 124.716 14377 75 -148 38 57 -111 35 86 0.0072 166.888 0.86564 44.571 0.01017 122.317 13357 71 -151 39 52 -111 36 87 0.0073 167.958 0.87581 48.311 0.00994 119.647 12322 67 -154 40 48 -110 36 88 0.0073 168.941 0.88575 52.225 0.00970 116.717 11272 62 -157 40 43 -109 37 89 0.0074 169.837 0.89545 56.300 0.00943 113.537 10210 58 -160 41 38 -107 37 90 0.0075 170.643 0.90488 60.522 0.00915 110.121 9135 53 -162 42 34 -105 38 91 0.0076 171.359 0.91403 64.873 0.00885 106.486 8049 48 -165 43 30 -102 38

92 0.0077 171.984 0.92288 69.330 0.00853 102.653 6953 43 -167 44 26 -99 39 93 0.0078 172.517 0.93141 73.873 0.00819 98.644 5848 38 -168 45 22 -96 39 94 0.0078 172.958 0.93960 78.475 0.00785 94.484 4735 32 -170 46 18 -93 40 95 0.0079 173.306 0.94745 83.110 0.00749 90.197 3616 27 -171 46 14 -89 40 96 0.0080 173.561 0.95494 87.750 0.00713 85.810 2491 22 -172 47 11 -85 41 97 0.0081 173.721 0.96206 92.369 0.00675 81.353 1361 16 -173 48 8 -81 41 98 0.0082 173.788 0.96882 96.937 0.00638 76.850 228 11 -173 49 5 -77 41 99 0.0083 173.759 0.97520 101.428 0.00600 72.331 -907 5 -174 50 2 -72 41

100 0.0083 173.636 0.98120 105.816 0.00563 67.820 -2043 0 -174 50 0 -68 42 101 0.0084 173.419 0.98683 110.076 0.00526 63.343 -3180 -5 -173 51 -2 -63 42 102 0.0085 173.106 0.99209 114.186 0.00489 58.921 -4315 -11 -173 52 -4 -59 42 103 0.0086 172.700 0.99697 118.125 0.00453 54.574 -5448 -16 -172 53 -5 -54 42 104 0.0087 172.199 1.00150 121.877 0.00417 50.321 -6578 -22 -171 53 -6 -50 43 105 0.0088 171.603 1.00568 125.426 0.00383 46.178 -7703 -27 -169 54 -7 -46 43 106 0.0088 170.915 1.00951 128.759 0.00350 42.156 -8822 -32 -168 55 -8 -41 43 107 0.0089 170.133 1.01300 131.867 0.00317 38.266 -9935 -37 -166 55 -8 -37 43 108 0.0090 169.259 1.01617 134.743 0.00286 34.516 -11040 -42 -164 56 -9 -33 43 109 0.0091 168.293 1.01904 137.383 0.00256 30.911 -12136 -47 -162 57 -9 -30 43 110 0.0092 167.237 1.02160 139.784 0.00227 27.453 -13223 -52 -159 57 -8 -26 43 111 0.0093 166.090 1.02387 141.945 0.00200 24.145 -14298 -56 -156 58 -8 -23 43 112 0.0093 164.854 1.02587 143.869 0.00174 20.985 -15361 -61 -153 58 -8 -20 43

113 0.0094 163.530 1.02761 145.559 0.00149 17.971 -16410 -65 -150 59 -7 -16 43 114 0.0095 162.120 1.02910 147.019 0.00125 15.101 -17446 -69 -147 60 -6 -14 43 115 0.0096 160.623 1.03035 148.254 0.00102 12.369 -18466 -73 -143 60 -6 -11 43 116 0.0097 159.042 1.03137 149.272 0.00081 9.771 -19470 -77 -139 61 -5 -9 43 117 0.0098 157.379 1.03217 150.078 0.00060 7.300 -20457 -80 -135 61 -4 -6 43 118 0.0098 155.633 1.03277 150.682 0.00041 4.951 -21425 -83 -131 61 -3 -4 43 119 0.0099 153.808 1.03318 151.092 0.00022 2.717 -22375 -86 -127 62 -2 -2 43

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ohms --- CALCULATION OF FORM FACTOR

ohmsseconds S = 6.9 Wb-turns INDEX = 0 1 2 3 4 5 6 7 8rad/s ANGLE = 0 0.0157 0.03141593 0.04712389 0.062831853 0.078539816 0 .09424778 0.10995574 0.125663706 0.141371

(SINE S) 2 = 0 0.0000 1.8184E-21 4.88101E-19 2.57595E-17 5.57285E-16 6.85593E-15 5.7112E-14 3.57531E-13 1.79897

--- RP = 0.459272secondshenries

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PhaseACTUAL

I2PH Iaj

0.0 7.50.0 7.50.0 7.50.0 7.50.0 7.5

0.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.50.0 7.5

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43 44 45 46 47 48 49 50 51 52 53 54 55 56 57

0.675442 0.69115 0.706858 0.722566 0.738274 0.753982 0.76969 0.785398 0.801106 0.816814 0.832522 0.84823 0.863938 0.879646 0.895354 0.911062 0.926770.001533 0.002 0.002589 0.003324 0.004234 0.005353 0.006718 0.008373 0.010365 0.012746 0.015574 0.018912 0.022826 0.027388 0.032675 0.038764 0.045738

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60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 0.942478 0.958186 0.973894 0.989602 1.00531 1.021018 1.036726 1.052434 1.068142 1.083849 1.099557 1.115265 1.130973 1.146681 1.162389 1.178097 1.1938050.05368 0.062675 0.072805 0.084152 0.096795 0.110807 0.126255 0.143196 0.161679 0.181741 0.203402 0.226672 0.251539 0.277975 0.305933 0.335345 0.366121

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0.05368 0.06 6 5 0.0 805 0.08 5 0.096 95 0. 080 0. 6 55 0. 3 96 0. 6 6 9 0. 8 0. 03 0 0. 66 0. 5 539 0. 9 5 0.305933 0.3353 5 0.366

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77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 1.209513 1.225221 1.240929 1.256637 1.272345 1.288053 1.303761 1.319469 1.335177 1.350885 1.366593 1.382301 1.398009 1.413717 1.429425 1.445133 1.4608410.398149 0.431298 0.465413 0.500319 0.535823 0.571711 0.607754 0.643709 0.679321 0.714326 0.748454 0.781432 0.81299 0.842859 0.870781 0.896508 0.919807

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94 95 96 97 98 99 1001.476549 1.492257 1.507964 1.523672 1.53938 1.555088 1.5707960.940465 0.958288 0.97311 0.984789 0.993212 0.998299 1

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Introduction

CONTENTS:CT Saturation CalculatorIntroductionInstructions

About NxtPhase

Introduction

Use this CT Saturation Calculator to predict your system's CT saturation issues. First you'll enter the type of transformer you are usingand its specific characteristics. Then specify an input signal and let our calculator predict distortion on the output signal.

Note:This program is intended to show LARGE CURRENT or HIGH BURDEN behavior only; it does not accurately represent the conditionsat the low end portion of the iron saturation curve. Consequently, hysteresis loss and eddy current loss are not modeled becausethey have negligible effect on the saturation region behavior.

Another assumption is that the usual log-log plot of rms voltage versus rms current for the saturation curve is correct when plottedas a straight line for the saturated portion of the curve. This implies a pure power law relating instantaneous voltage toinstantaneous current, and the slope of the upper portion of the commonly-used log-log plot is in the neighborhood of 1/20 for a

modern toroidal CT. The value for Vs, the "saturation voltage," is assumed to be at a properly measured rms value of 10 ampsexcitation current, the voltage being sinusoidal and the current being related to flux by an Sth(only) order function. If the 10-ampvalue is measured using a 'not-true-rms' meter, the error is not great enough to cause significant error.

The program has been checked against a variety of examples, including those of the recent IEEE paper "Mathematical Models forCurrent, Voltage, and Coupling Capacitor Voltage Transformers," Working Group C5 of PSRC, IEEE Trans on Power Delivery, Jan2000, pp. 62-72. (Note that there is an error in figures 4a and 5a of that paper: there was actually non-zero remanence for thiscase, as confirmed with the authors.)

Version: 11 June 2002

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Page 303

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CONTENTS:CT Saturation CalculatorIntroductionInstructions

About NxtPhase

Instructions

1. Determine the saturation voltage (Vs) for the CT in question. This is defined as the rms excitation voltage at the ten-per-cent error current. For example, for a nominal five-amp CT which is expected to handle 100 amps with a ten per cent error,the error current at a given Vs, is ten amps.* For maximum accuracy, this should be a measured value supplied by themanufacturer. For example, a C400 CT has a nominal Vs of 400 volts rms, but the actual measured Vs will be a higher

Note: actual measurements by the manufacturer may not have been made with a "true rms" meter. It has been determinedthat the error due to use of a "rectified average" type meter, for example, is not significant.

2. Determine the slope (1/S) of the upper part of the saturation curve, being careful that the curve is plotted on log-log scaleswith the decade spacing equal on both axes. "S" is defined as the reciprocal of this slope. You should get a slope such thatS is in the neighborhood of 15<S<25. Note that the result is not very sensitive to the value of S. SEE FIGURE BELOW.

3. Enter other parameters such as the CT winding resistance, the burden, the degree of dc-offset in the primary currentwaveform (up to 1 per unit), the primary system X/R ratio, the remanence**, and the primary symmetrical rms current.

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Once any change to an INPUT parameter is made, a new plot appears automatically. The scale adjustment is automatic andthe plot is believed to be self-explanatory.

*This is a convenient definition that is not strictly correct. If the ideal secondary current is 100 amps rms and the exciting (error) current is10 amps rms, then the actual secondary current is typically 93 amps rms, not 90 amps rms. This is because the exciting current is both outof phase and non-sinusoidal, so simple subtraction does not apply.

**Note that the per unit remanence is defined relative to Vs. If the knee-point voltage (45 degree slope point) is 80% of Vs, then themaximum remanence value is 0.8. Note that the polarities for this simulation are such that a positive remanence is the "worst-case"

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CONTENTS:CT Saturation CalculatorIntroductionInstructions

About NxtPhase

About NxtPhaseAPT Relays and Recorders

Our APT relay and recorder products are smart, easy to use and meet the challenges of the changing utility industry. Theyachieve a new level in integrated protection, monitoring and high-quality recording that are streamlined for installation,operation and maintenance. Our products offer:

*a state-of-the-art hardware platform*easy to use setting and analysis software*an intuitive Windows-driven setting system

Our product line includes:

L-PRO Transmission Line Protection RelayT-PRO Transformer Protection RelayF-PRO Feeder Protection RelayB-PRO Bus Protection RelayTESLA Disturbance Fault Recorder

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RecordBase Central Station

For additional information, visit our website at:

www.nxtphase.com

or email us at [email protected]

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Eixo X Eixo Y A V

0.5 1280.8 1401.0 1492.0 1833.0 1974.0 2025.0 2036.0 2057.0 2058.0 2089.0 208

10.0 208

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10

100

1000

10000

Serie…

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10

0.1 1.0 10.0 100.0