CT Saturation Calculator
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ykh92167CT Saturation Calculator
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ykh92167CONTENTS:
CT Saturation Calculator
Introduction CT Saturation Calculator Web Site: www.nxtphase.com
Instructions Based on Excel 97 SR-2 Spread Sheet. See IEEE publication C37.110: "IEEE Email: info@nxtphase.com
Guide for the Application of CTs Used for Protective Relaying Purposes"
About NxtPhase gswift@nxtphase.com
ASSUMPTIONS: CT core losses and sec'y reactance zero (thru-hole primary). Frequency: 60 Hz
CT primary current is zero for t<0. CT is 5 amp nominal Time step = 1/12,000 second.
INPUT PARAMETERS: ENTER: Saturation Curve CALCULATED:
Inverse of sat. curve slope = S= 20 --- Rt = Total burden resistance = Rw + R
Vs
RMS voltage at 10A exc. current = Vs = 200 volts rms pf = Total burden power factor =
s lo p e
Turns ratio = n2/1= N= 120 ---
= 1 /S Zb = Total burden impedance =
Winding resistance = Rw = 0.300 ohms m f g r 's Tau1 = System time constant =
Burden resistance = Rb = 0.500 ohms Ve d a ta Lamsat = Peak flux-linkages corresponding
Burden reactance = Xb = 0.100 ohms v o lts w = Radian freq =
lo g - lo g p lo t ,
System X/R ratio = XoverR = 7.0 --- rm s equal RP = Ie rms-to-peak ratio =
Per unit offset in primary current = Off = 1.00 -1<Off<1 decade A = Coefficient in instantaneous ie
Per unit remanence (based on Vs) = lrem 0.40 --- s p a c in g versus lambda curve: ie = A *
Symmetrical primary fault current = Ip = 30,000 amps rms dt = Time step =
Ie a m p s rm s 10 Lb = Burden inductance =
Thick linesIdeal (blue) and actual (black) secondary current in amps vs time in seconds.
Thin lines: Ideal (blue) and actual (black) secondary current extracted fundamental rms value, using a simple DFT with a on
800
600
400
200
0
-200
-400
-600
4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
16 12 08 04 00 03 07 11 15 19 23 27 31 35 39 43 47 51 55 59 63 67 71 75 79 83 87 91 95 99 03 07 11 15 19 23 27 31 35 3
0 .0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
- - - - -
To determine the effect of saturation on a particular digital relay, one must have "models" for the blocks shown below:
ACTUAL
SECONDA RY DISCRETE FOURIER ULTIMA TE
CURRENT TRA NSFORM? RELAY EFFECT
A NTI-A LIASING
PEA K DETECTION? FUNCTION
FILTER
(FROM A BOV E) DC-OFFSET REMOV A L? A LGORITHM CORRECT
RMS DETERMINA TION? TRIP?
Calculation of Mag. Of Fund'l Calculation of Mag. Of Fund'l
is = 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
seconds amps Wb-turns amps Wb-turns amps amps/s
TIME IDEAL ACTUAL
-200 -0.0167 0.000 0.30022 0.000 -0.00103 0.000 -46721 0
-199 -0.0166 0.000 0.30022 0.000 -0.00094 0.000 -42325 0
-198 -0.0165 0.000 0.30022 0.000 -0.00084 0.000 -37934 0
-197 -0.0164 0.000 0.30022 0.000 -0.00074 0.000 -33552 0
-196 -0.0163 0.000 0.30022 0.000 -0.00065 0.000 -29184 0
-195 -0.0163 0.000 0.30022 0.000 -0.00055 0.000 -24833 0
-194 -0.0162 0.000 0.30022 0.000 -0.00045 0.000 -20504 0
-193 -0.0161 0.000 0.30022 0.000 -0.00036 0.000 -16200 0
-192 -0.0160 0.000 0.30022 0.000 -0.00026 0.000 -11926 0
-191 -0.0159 0.000 0.30022 0.000 -0.00017 0.000 -7685 0
-190 -0.0158 0.000 0.30022 0.000 -0.00008 0.000 -3482 0
-189 -0.0158 0.000 0.30022 0.000 0.00002 0.000 679 0
-188 -0.0157 0.000 0.30022 0.000 0.00011 0.000 4795 0
-187 -0.0156 0.000 0.30022 0.000 0.00020 0.000 8862 0
-186 -0.0155 0.000 0.30022 0.000 0.00028 0.000 12875 0
-185 -0.0154 0.000 0.30022 0.000 0.00037 0.000 16832 0
-184 -0.0153 0.000 0.30022 0.000 0.00046 0.000 20728 0
-183 -0.0153 0.000 0.30022 0.000 0.00054 0.000 24560 0
-182 -0.0152 0.000 0.30022 0.000 0.00063 0.000 28323 0
-181 -0.0151 0.000 0.30022 0.000 0.00071 0.000 32016 0
-180 -0.0150 0.000 0.30022 0.000 0.00079 0.000 35634 0
-179 -0.0149 0.000 0.30022 0.000 0.00087 0.000 39174 0
-178 -0.0148 0.000 0.30022 0.000 0.00094 0.000 42632 0
-177 -0.0148 0.000 0.30022 0.000 0.00102 0.000 46005 0
-176 -0.0147 0.000 0.30022 0.000 0.00109 0.000 49291 0
-175 -0.0146 0.000 0.30022 0.000 0.00116 0.000 52486 0
-174 -0.0145 0.000 0.30022 0.000 0.00123 0.000 55586 0
-173 -0.0144 0.000 0.30022 0.000 0.00130 0.000 58591 0
-172 -0.0143 0.000 0.30022 0.000 0.00136 0.000 61495 0
-171 -0.0143 0.000 0.30022 0.000 0.00142 0.000 64298 0
-170 -0.0142 0.000 0.30022 0.000 0.00148 0.000 66995 0
-169 -0.0141 0.000 0.30022 0.000 0.00154 0.000 69586 0
-168 -0.0140 0.000 0.30022 0.000 0.00159 0.000 72067 0
-167 -0.0139 0.000 0.30022 0.000 0.00165 0.000 74436 0
-166 -0.0138 0.000 0.30022 0.000 0.00170 0.000 76691 0
-165 -0.0138 0.000 0.30022 0.000 0.00174 0.000 78830 0
-164 -0.0137 0.000 0.30022 0.000 0.00179 0.000 80851 0
-163 -0.0136 0.000 0.30022 0.000 0.00183 0.000 82752 0
-162 -0.0135 0.000 0.30022 0.000 0.00187 0.000 84531 0
-161 -0.0134 0.000 0.30022 0.000 0.00191 0.000 86188 0
-160 -0.0133 0.000 0.30022 0.000 0.00194 0.000 87720 0
-159 -0.0133 0.000 0.30022 0.000 0.00197 0.000 89126 0
-158 -0.0132 0.000 0.30022 0.000 0.00200 0.000 90404 0
-157 -0.0131 0.000 0.30022 0.000 0.00202 0.000 91555 0
-156 -0.0130 0.000 0.30022 0.000 0.00205 0.000 92577 0
-155 -0.0129 0.000 0.30022 0.000 0.00207 0.000 93468 0
-154 -0.0128 0.000 0.30022 0.000 0.00208 0.000 94229 0
-153 -0.0128 0.000 0.30022 0.000 0.00210 0.000 94859 0
-152 -0.0127 0.000 0.30022 0.000 0.00211 0.000 95357 0
-151 -0.0126 0.000 0.30022 0.000 0.00212 0.000 95723 0
-150 -0.0125 0.000 0.30022 0.000 0.00212 0.000 95957 0
-149 -0.0124 0.000 0.30022 0.000 0.00212 0.000 96058 0
-148 -0.0123 0.000 0.30022 0.000 0.00212 0.000 96027 0
-147 -0.0123 0.000 0.30022 0.000 0.00212 0.000 95864 0
-146 -0.0122 0.000 0.30022 0.000 0.00211 0.000 95570 0
-145 -0.0121 0.000 0.30022 0.000 0.00210 0.000 95144 0
-144 -0.0120 0.000 0.30022 0.000 0.00209 0.000 94587 0
-143 -0.0119 0.000 0.30022 0.000 0.00208 0.000 93901 0
-142 -0.0118 0.000 0.30022 0.000 0.00206 0.000 93086 0
-141 -0.0118 0.000 0.30022 0.000 0.00204 0.000 92142 0
-140 -0.0117 0.000 0.30022 0.000 0.00201 0.000 91071 0
-139 -0.0116 0.000 0.30022 0.000 0.00199 0.000 89875 0
-138 -0.0115 0.000 0.30022 0.000 0.00196 0.000 88554 0
-137 -0.0114 0.000 0.30022 0.000 0.00193 0.000 87110 0
-136 -0.0113 0.000 0.30022 0.000 0.00189 0.000 85545 0
-135 -0.0113 0.000 0.30022 0.000 0.00185 0.000 83860 0
-134 -0.0112 0.000 0.30022 0.000 0.00181 0.000 82057 0
-133 -0.0111 0.000 0.30022 0.000 0.00177 0.000 80138 0
-132 -0.0110 0.000 0.30022 0.000 0.00173 0.000 78105 0
-131 -0.0109 0.000 0.30022 0.000 0.00168 0.000 75960 0
-130 -0.0108 0.000 0.30022 0.000 0.00163 0.000 73706 0
-129 -0.0108 0.000 0.30022 0.000 0.00158 0.000 71345 0
-128 -0.0107 0.000 0.30022 0.000 0.00152 0.000 68879 0
-127 -0.0106 0.000 0.30022 0.000 0.00147 0.000 66311 0
-126 -0.0105 0.000 0.30022 0.000 0.00141 0.000 63644 0
-125 -0.0104 0.000 0.30022 0.000 0.00135 0.000 60880 0
-124 -0.0103 0.000 0.30022 0.000 0.00128 0.000 58022 0
-123 -0.0103 0.000 0.30022 0.000 0.00122 0.000 55074 0
-122 -0.0102 0.000 0.30022 0.000 0.00115 0.000 52038 0
-121 -0.0101 0.000 0.30022 0.000 0.00108 0.000 48918 0
-120 -0.0100 0.000 0.30022 0.000 0.00101 0.000 45716 0
-119 -0.0099 0.000 0.30022 0.000 0.00094 0.000 42437 0
-118 -0.0098 0.000 0.30022 0.000 0.00086 0.000 39083 0
-117 -0.0098 0.000 0.30022 0.000 0.00079 0.000 35657 0
-116 -0.0097 0.000 0.30022 0.000 0.00071 0.000 32164 0
-115 -0.0096 0.000 0.30022 0.000 0.00063 0.000 28607 0
-114 -0.0095 0.000 0.30022 0.000 0.00055 0.000 24990 0
-113 -0.0094 0.000 0.30022 0.000 0.00047 0.000 21316 0
-112 -0.0093 0.000 0.30022 0.000 0.00039 0.000 17589 0
-111 -0.0093 0.000 0.30022 0.000 0.00031 0.000 13813 0
-110 -0.0092 0.000 0.30022 0.000 0.00022 0.000 9992 0
-109 -0.0091 0.000 0.30022 0.000 0.00014 0.000 6130 0
-108 -0.0090 0.000 0.30022 0.000 0.00005 0.000 2230 0
-107 -0.0089 0.000 0.30022 0.000 -0.00004 0.000 -1703 0
-106 -0.0088 0.000 0.30022 0.000 -0.00013 0.000 -5665 0
-105 -0.0088 0.000 0.30022 0.000 -0.00021 0.000 -9653 0
-104 -0.0087 0.000 0.30022 0.000 -0.00030 0.000 -13661 0
-103 -0.0086 0.000 0.30022 0.000 -0.00039 0.000 -17687 0
-102 -0.0085 0.000 0.30022 0.000 -0.00048 0.000 -21726 0
-101 -0.0084 0.000 0.30022 0.000 -0.00057 0.000 -25774 0
-100 -0.0083 0.000 0.30022 0.000 -0.00066 0.000 -29826 0
-99 -0.0083 0.000 0.30022 0.000 -0.00075 0.000 -33879 0
-98 -0.0082 0.000 0.30022 0.000 -0.00084 0.000 -37929 0
-97 -0.0081 0.000 0.30022 0.000 -0.00093 0.000 -41971 0
-96 -0.0080 0.000 0.30022 0.000 -0.00102 0.000 -46001 0
-95 -0.0079 0.000 0.30022 0.000 -0.00111 0.000 -50015 0
-94 -0.0078 0.000 0.30022 0.000 -0.00119 0.000 -54009 0
-93 -0.0078 0.000 0.30022 0.000 -0.00128 0.000 -57979 0
-92 -0.0077 0.000 0.30022 0.000 -0.00137 0.000 -61921 0
-91 -0.0076 0.000 0.30022 0.000 -0.00146 0.000 -65831 0
-90 -0.0075 0.000 0.30022 0.000 -0.00154 0.000 -69705 0
-89 -0.0074 0.000 0.30022 0.000 -0.00163 0.000 -73539 0
-88 -0.0073 0.000 0.30022 0.000 -0.00171 0.000 -77328 0
-87 -0.0073 0.000 0.30022 0.000 -0.00179 0.000 -81070 0
-86 -0.0072 0.000 0.30022 0.000 -0.00187 0.000 -84760 0
-85 -0.0071 0.000 0.30022 0.000 -0.00195 0.000 -88395 0
-84 -0.0070 0.000 0.30022 0.000 -0.00203 0.000 -91971 0
-83 -0.0069 0.000 0.30022 0.000 -0.00211 0.000 -95483 0
-82 -0.0068 0.000 0.30022 0.000 -0.00219 0.000 -98930 0
-81 -0.0068 0.000 0.30022 0.000 -0.00226 0.000 -102306 0
-80 -0.0067 0.000 0.30022 0.000 -0.00233 0.000 -105609 0
-79 -0.0066 0.000 0.30022 0.000 -0.00241 0.000 -108836 0
-78 -0.0065 0.000 0.30022 0.000 -0.00248 0.000 -111982 0
-77 -0.0064 0.000 0.30022 0.000 -0.00254 0.000 -115045 0
-76 -0.0063 0.000 0.30022 0.000 -0.00261 0.000 -118021 0
-75 -0.0063 0.000 0.30022 0.000 -0.00267 0.000 -120908 0
-74 -0.0062 0.000 0.30022 0.000 -0.00273 0.000 -123703 0
-73 -0.0061 0.000 0.30022 0.000 -0.00279 0.000 -126402 0
-72 -0.0060 0.000 0.30022 0.000 -0.00285 0.000 -129003 0
-71 -0.0059 0.000 0.30022 0.000 -0.00291 0.000 -131503 0
-70 -0.0058 0.000 0.30022 0.000 -0.00296 0.000 -133900 0
-69 -0.0058 0.000 0.30022 0.000 -0.00301 0.000 -136191 0
-68 -0.0057 0.000 0.30022 0.000 -0.00306 0.000 -138373 0
-67 -0.0056 0.000 0.30022 0.000 -0.00310 0.000 -140445 0
-66 -0.0055 0.000 0.30022 0.000 -0.00315 0.000 -142405 0
-65 -0.0054 0.000 0.30022 0.000 -0.00319 0.000 -144249 0
-64 -0.0053 0.000 0.30022 0.000 -0.00323 0.000 -145977 0
-63 -0.0053 0.000 0.30022 0.000 -0.00326 0.000 -147587 0
-62 -0.0052 0.000 0.30022 0.000 -0.00330 0.000 -149076 0
-61 -0.0051 0.000 0.30022 0.000 -0.00333 0.000 -150443 0
-60 -0.0050 0.000 0.30022 0.000 -0.00335 0.000 -151688 0
-59 -0.0049 0.000 0.30022 0.000 -0.00338 0.000 -152807 0
-58 -0.0048 0.000 0.30022 0.000 -0.00340 0.000 -153801 0
-57 -0.0048 0.000 0.30022 0.000 -0.00342 0.000 -154668 0
-56 -0.0047 0.000 0.30022 0.000 -0.00344 0.000 -155407 0
-55 -0.0046 0.000 0.30022 0.000 -0.00345 0.000 -156017 0
-54 -0.0045 0.000 0.30022 0.000 -0.00346 0.000 -156498 0
-53 -0.0044 0.000 0.30022 0.000 -0.00347 0.000 -156849 0
-52 -0.0043 0.000 0.30022 0.000 -0.00347 0.000 -157069 0
-51 -0.0043 0.000 0.30022 0.000 -0.00347 0.000 -157159 0
-50 -0.0042 0.000 0.30022 0.000 -0.00347 0.000 -157117 0
-49 -0.0041 0.000 0.30022 0.000 -0.00347 0.000 -156945 0
-48 -0.0040 0.000 0.30022 0.000 -0.00346 0.000 -156641 0
-47 -0.0039 0.000 0.30022 0.000 -0.00345 0.000 -156207 0
-46 -0.0038 0.000 0.30022 0.000 -0.00344 0.000 -155642 0
-45 -0.0038 0.000 0.30022 0.000 -0.00343 0.000 -154947 0
-44 -0.0037 0.000 0.30022 0.000 -0.00341 0.000 -154123 0
-43 -0.0036 0.000 0.30022 0.000 -0.00339 0.000 -153170 0
-42 -0.0035 0.000 0.30022 0.000 -0.00336 0.000 -152089 0
-41 -0.0034 0.000 0.30022 0.000 -0.00334 0.000 -150881 0
-40 -0.0033 0.000 0.30022 0.000 -0.00331 0.000 -149548 0
-39 -0.0033 0.000 0.30022 0.000 -0.00327 0.000 -148089 0
-38 -0.0032 0.000 0.30022 0.000 -0.00324 0.000 -146508 0
-37 -0.0031 0.000 0.30022 0.000 -0.00320 0.000 -144804 0
-36 -0.0030 0.000 0.30022 0.000 -0.00316 0.000 -142981 0
-35 -0.0029 0.000 0.30022 0.000 -0.00312 0.000 -141038 0
-34 -0.0028 0.000 0.30022 0.000 -0.00307 0.000 -138979 0
-33 -0.0028 0.000 0.30022 0.000 -0.00302 0.000 -136805 0
-32 -0.0027 0.000 0.30022 0.000 -0.00297 0.000 -134519 0
-31 -0.0026 0.000 0.30022 0.000 -0.00292 0.000 -132122 0
-30 -0.0025 0.000 0.30022 0.000 -0.00287 0.000 -129616 0
-29 -0.0024 0.000 0.30022 0.000 -0.00281 0.000 -127004 0
-28 -0.0023 0.000 0.30022 0.000 -0.00275 0.000 -124289 0
-27 -0.0023 0.000 0.30022 0.000 -0.00269 0.000 -121473 0
-26 -0.0022 0.000 0.30022 0.000 -0.00262 0.000 -118559 0
-25 -0.0021 0.000 0.30022 0.000 -0.00255 0.000 -115549 0
-24 -0.0020 0.000 0.30022 0.000 -0.00249 0.000 -112447 0
-23 -0.0019 0.000 0.30022 0.000 -0.00242 0.000 -109255 0
-22 -0.0018 0.000 0.30022 0.000 -0.00234 0.000 -105977 0
-21 -0.0018 0.000 0.30022 0.000 -0.00227 0.000 -102615 0
-20 -0.0017 0.000 0.30022 0.000 -0.00219 0.000 -99173 0
-19 -0.0016 0.000 0.30022 0.000 -0.00211 0.000 -95654 0
-18 -0.0015 0.000 0.30022 0.000 -0.00203 0.000 -92061 0
-17 -0.0014 0.000 0.30022 0.000 -0.00195 0.000 -88399 0
-16 -0.0013 0.000 0.30022 0.000 -0.00187 0.000 -84670 0
-15 -0.0013 0.000 0.30022 0.000 -0.00179 0.000 -80877 0
-14 -0.0012 0.000 0.30022 0.000 -0.00170 0.000 -77026 0
-13 -0.0011 0.000 0.30022 0.000 -0.00162 0.000 -73119 0
-12 -0.0010 0.000 0.30022 0.000 -0.00153 0.000 -69160 0
-11 -0.0009 0.000 0.30022 0.000 -0.00144 0.000 -65154 0
-10 -0.0008 0.000 0.30022 0.000 -0.00135 0.000 -61103 0
-9 -0.0008 0.000 0.30022 0.000 -0.00126 0.000 -57011 0
-8 -0.0007 0.000 0.30022 0.000 -0.00117 0.000 -52884 0
-7 -0.0006 0.000 0.30022 0.000 -0.00108 0.000 -48724 0
-6 -0.0005 0.000 0.30022 0.000 -0.00098 0.000 -44536 0
-5 -0.0004 0.000 0.30022 0.000 -0.00089 0.000 -40324 0
-4 -0.0003 0.000 0.30022 0.000 -0.00080 0.000 -36091 0
-3 -0.0003 0.000 0.30022 0.000 -0.00070 0.000 -31842 0
-2 -0.0002 0.000 0.30022 0.000 -0.00061 0.000 -27582 0
-1 -0.0001 0.000 0.30022 0.000 -0.00052 0.000 -23313 0
0 0.0000 0.000 0.30022 0.000 -0.00042 0.000 -19041 0 0 0 0 0
1 0.0001 -1.409 0.29980 0.000 -0.00042 -1.409 -14769 0 -1 0 0 -1
2 0.0002 -2.462 0.29938 0.000 -0.00040 -2.462 -10502 0 -2 0 0 -2
3 0.0003 -3.159 0.29898 0.000 -0.00035 -3.159 -6243 0 -3 0 0 -3
4 0.0003 -3.502 0.29863 0.000 -0.00028 -3.502 -1997 0 -3 0 0 -3
5 0.0004 -3.493 0.29836 0.000 -0.00018 -3.493 2232 -1 -3 0 -1 -3
6 0.0005 -3.131 0.29817 0.000 -0.00007 -3.131 6440 -1 -3 0 -1 -3
7 0.0006 -2.420 0.29811 0.000 0.00007 -2.420 10623 -1 -2 0 -1 -2
8 0.0007 -1.361 0.29818 0.000 0.00024 -1.361 14778 0 -1 0 0 -1
9 0.0008 0.042 0.29842 0.000 0.00042 0.042 18899 0 0 0 0 0
10 0.0008 1.787 0.29884 0.000 0.00063 1.787 22982 1 2 0 1 2
11 0.0009 3.871 0.29946 0.000 0.00086 3.871 27025 1 4 0 1 4
12 0.0010 6.290 0.30032 0.000 0.00111 6.290 31023 2 6 0 2 6
13 0.0011 9.041 0.30142 0.000 0.00138 9.041 34973 4 8 0 4 8
14 0.0012 12.118 0.30280 0.000 0.00167 12.118 38869 5 11 0 5 11
15 0.0013 15.517 0.30447 0.000 0.00198 15.517 42709 7 14 0 7 14
16 0.0013 19.234 0.30645 0.000 0.00231 19.234 46490 9 17 0 9 17
17 0.0014 23.264 0.30876 0.000 0.00266 23.264 50206 12 20 1 12 20
18 0.0015 27.600 0.31142 0.000 0.00303 27.600 53855 15 23 1 15 23
19 0.0016 32.238 0.31445 0.000 0.00342 32.238 57433 18 27 1 18 27
20 0.0017 37.170 0.31786 0.000 0.00383 37.170 60937 22 30 1 22 30
21 0.0018 42.392 0.32169 0.000 0.00425 42.392 64364 26 33 1 26 33
22 0.0018 47.895 0.32594 0.000 0.00469 47.895 67709 31 37 2 31 37
23 0.0019 53.674 0.33063 0.000 0.00515 53.674 70970 35 40 2 35 40
24 0.0020 59.721 0.33578 0.000 0.00562 59.721 74144 41 44 3 41 44
25 0.0021 66.029 0.34140 0.000 0.00611 66.029 77228 47 47 3 47 47
26 0.0022 72.590 0.34751 0.000 0.00661 72.590 80218 53 50 4 53 50
27 0.0023 79.396 0.35412 0.000 0.00713 79.396 83112 60 53 4 60 53
28 0.0023 86.439 0.36125 0.000 0.00766 86.439 85906 67 55 5 67 55
29 0.0024 93.711 0.36891 0.000 0.00821 93.711 88600 74 57 5 74 57
30 0.0025 101.203 0.37712 0.000 0.00876 101.203 91188 82 59 6 82 59
31 0.0026 108.906 0.38588 0.000 0.00933 108.906 93671 90 61 7 90 61
32 0.0027 116.812 0.39521 0.000 0.00991 116.811 96044 99 63 8 99 63
33 0.0028 124.910 0.40512 0.000 0.01050 124.910 98305 108 64 9 108 64
34 0.0028 133.193 0.41562 0.000 0.01110 133.192 100453 117 64 9 117 64
35 0.0029 141.649 0.42672 0.000 0.01171 141.649 102486 126 64 10 126 64
36 0.0030 150.270 0.43843 0.001 0.01233 150.270 104401 136 64 11 136 64
37 0.0031 159.046 0.45075 0.001 0.01295 159.045 106196 146 63 13 146 63
38 0.0032 167.966 0.46370 0.002 0.01358 167.964 107871 156 62 14 156 62
39 0.0033 177.021 0.47729 0.003 0.01422 177.018 109423 167 60 15 167 60
40 0.0033 186.200 0.49151 0.006 0.01486 186.194 110851 177 58 16 177 58
41 0.0034 195.493 0.50637 0.011 0.01551 195.482 112153 188 55 18 188 55
42 0.0035 204.889 0.52188 0.020 0.01616 204.869 113329 198 51 19 198 51
43 0.0036 214.377 0.53804 0.037 0.01681 214.341 114377 209 47 20 209 47
44 0.0037 223.948 0.55485 0.068 0.01746 223.880 115296 220 42 22 220 42
45 0.0038 233.590 0.57231 0.126 0.01811 233.464 116086 231 37 23 231 37
46 0.0038 243.292 0.59042 0.234 0.01875 243.058 116746 241 30 25 241 30
47 0.0039 253.044 0.60917 0.438 0.01936 252.606 117275 252 24 27 251 24
48 0.0040 262.834 0.62852 0.819 0.01993 262.016 117672 262 17 29 261 16
49 0.0041 272.652 0.64846 1.528 0.02043 271.124 117938 273 9 30 271 9
50 0.0042 282.487 0.66888 2.842 0.02078 279.645 118073 282 0 32 280 0
51 0.0043 292.327 0.68967 5.241 0.02091 287.086 118075 292 -9 34 287 -9
52 0.0043 302.162 0.71057 9.524 0.02065 292.639 117946 302 -19 36 292 -18
53 0.0044 311.981 0.73122 16.889 0.01984 295.093 117685 311 -29 38 294 -28
54 0.0045 321.773 0.75106 28.851 0.01838 292.922 117292 319 -40 40 291 -37
55 0.0046 331.526 0.76944 46.786 0.01630 284.740 116769 327 -52 42 281 -45
56 0.0047 341.231 0.78574 71.162 0.01390 270.069 116116 335 -64 45 265 -51
57 0.0048 350.875 0.79964 101.043 0.01150 249.832 115333 342 -77 47 244 -54
58 0.0048 360.449 0.81114 134.433 0.00936 226.016 114422 349 -90 49 219 -56
59 0.0049 369.942 0.82050 169.123 0.00759 200.819 113383 355 -103 52 193 -56
60 0.0050 379.343 0.82809 203.332 0.00617 176.011 112217 361 -117 54 167 -54
61 0.0051 388.641 0.83427 235.893 0.00505 152.748 110926 366 -132 56 144 -52
62 0.0052 397.827 0.83932 266.180 0.00417 131.647 109510 370 -146 59 122 -48
63 0.0053 406.890 0.84349 293.945 0.00348 112.945 107973 373 -162 62 104 -45
64 0.0053 415.819 0.84698 319.181 0.00293 96.638 106314 376 -177 64 87 -41
65 0.0054 424.605 0.84991 342.018 0.00249 82.587 104536 378 -193 67 74 -37
66 0.0055 433.239 0.85240 362.656 0.00214 70.583 102640 380 -209 69 62 -34
67 0.0056 441.709 0.85454 381.317 0.00186 60.392 100629 380 -225 72 52 -31
68 0.0057 450.007 0.85640 398.230 0.00162 51.777 98504 380 -241 75 44 -28
69 0.0058 458.123 0.85802 413.605 0.00143 44.518 96268 379 -258 78 37 -25
70 0.0058 466.049 0.85945 427.637 0.00127 38.412 93923 377 -274 81 31 -23
71 0.0059 473.774 0.86073 440.495 0.00114 33.279 91471 374 -290 83 26 -20
72 0.0060 481.291 0.86187 452.327 0.00103 28.964 88916 371 -307 86 22 -18
73 0.0061 488.591 0.86290 463.258 0.00093 25.333 86258 366 -323 89 19 -17
74 0.0062 495.665 0.86383 473.394 0.00085 22.270 83501 361 -339 92 16 -15
75 0.0063 502.505 0.86469 482.825 0.00078 19.680 80649 355 -355 95 14 -14
76 0.0063 509.103 0.86547 491.622 0.00072 17.481 77703 349 -371 98 12 -13
77 0.0064 515.453 0.86618 499.848 0.00066 15.605 74666 341 -387 101 10 -12
78 0.0065 521.545 0.86685 507.550 0.00061 13.995 71543 332 -402 104 9 -11
79 0.0066 527.374 0.86746 514.769 0.00057 12.605 68335 323 -417 107 8 -10
80 0.0067 532.932 0.86803 521.537 0.00052 11.395 65046 313 -431 110 7 -9
81 0.0068 538.213 0.86855 527.880 0.00049 10.334 61680 303 -445 113 6 -9
82 0.0068 543.210 0.86904 533.817 0.00045 9.394 58240 291 -459 116 5 -8
83 0.0069 547.918 0.86949 539.364 0.00041 8.554 54729 279 -472 119 4 -7
84 0.0070 552.330 0.86990 544.534 0.00038 7.796 51151 266 -484 122 4 -7
85 0.0071 556.441 0.87028 549.336 0.00035 7.105 47509 253 -496 125 3 -6
86 0.0072 560.246 0.87063 553.777 0.00032 6.470 43807 239 -507 128 3 -6
87 0.0073 563.741 0.87095 557.861 0.00029 5.879 40048 224 -517 131 2 -5
88 0.0073 566.920 0.87124 561.593 0.00026 5.326 36238 209 -527 134 2 -5
89 0.0074 569.779 0.87151 564.975 0.00023 4.804 32378 193 -536 137 2 -5
90 0.0075 572.315 0.87174 568.009 0.00021 4.306 28474 177 -544 140 1 -4
91 0.0076 574.523 0.87194 570.695 0.00018 3.829 24529 160 -552 143 1 -4
92 0.0077 576.402 0.87212 573.033 0.00015 3.369 20547 143 -558 146 1 -3
93 0.0078 577.947 0.87227 575.025 0.00012 2.922 16532 126 -564 149 1 -3
94 0.0078 579.156 0.87240 576.670 0.00010 2.487 12488 109 -569 151 0 -2
95 0.0079 580.028 0.87250 577.967 0.00007 2.061 8419 91 -573 154 0 -2
96 0.0080 580.559 0.87257 578.917 0.00005 1.642 4329 73 -576 157 0 -2
97 0.0081 580.749 0.87261 579.520 0.00002 1.229 223 55 -578 160 0 -1
98 0.0082 580.596 0.87263 579.775 -0.00001 0.821 -3896 36 -579 163 0 -1
99 0.0083 580.099 0.87263 579.683 -0.00003 0.417 -8024 18 -580 165 0 0
100 0.0083 579.258 0.87259 579.244 -0.00006 0.015 -12156 0 -579 168 0 0
101 0.0084 578.073 0.87253 578.458 -0.00009 -0.385 -16288 -18 -578 170 0 0
102 0.0085 576.544 0.87245 577.327 -0.00011 -0.783 -20416 -36 -575 173 0 1
103 0.0086 574.671 0.87234 575.851 -0.00014 -1.181 -24536 -54 -572 175 0 1
104 0.0087 572.455 0.87220 574.033 -0.00016 -1.578 -28645 -72 -568 178 0 2
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106 0.0088 566.999 0.87184 569.373 -0.00022 -2.374 -36808 -106 -557 183 0 2
107 0.0089 563.763 0.87163 566.537 -0.00024 -2.774 -40855 -123 -550 185 1 3
108 0.0090 560.191 0.87138 563.366 -0.00027 -3.175 -44874 -139 -543 187 1 3
109 0.0091 556.285 0.87111 559.863 -0.00030 -3.578 -48860 -155 -534 189 1 3
110 0.0092 552.049 0.87081 556.032 -0.00033 -3.983 -52810 -171 -525 191 1 4
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113 0.0094 537.389 0.86975 542.606 -0.00041 -5.217 -64401 -213 -493 197 2 5
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122 0.0102 476.902 0.86498 486.073 -0.00069 -9.171 -95973 -304 -367 211 6 7
123 0.0103 468.774 0.86429 478.416 -0.00072 -9.643 -99107 -310 -352 212 6 7
124 0.0103 460.387 0.86357 470.510 -0.00075 -10.123 -102155 -315 -336 213 7 7
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127 0.0106 433.756 0.86120 445.378 -0.00086 -11.621 -110748 -325 -287 216 9 8
128 0.0107 424.415 0.86034 436.558 -0.00090 -12.142 -113419 -327 -271 217 9 8
129 0.0108 414.856 0.85944 427.531 -0.00094 -12.675 -115989 -328 -254 218 10 8
130 0.0108 405.087 0.85851 418.307 -0.00098 -13.220 -118455 -328 -238 218 11 8
131 0.0109 395.117 0.85753 408.896 -0.00102 -13.779 -120815 -327 -222 219 11 8
132 0.0110 384.954 0.85651 399.307 -0.00106 -14.353 -123067 -325 -206 220 12 8
133 0.0111 374.609 0.85545 389.550 -0.00110 -14.942 -125207 -322 -191 220 13 8
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140 0.0117 297.870 0.84675 317.479 -0.00145 -19.609 -136921 -283 -92 222 19 6
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147 0.0123 216.055 0.83528 241.722 -0.00192 -25.668 -142539 -215 -20 221 26 2
148 0.0123 204.164 0.83337 230.862 -0.00200 -26.698 -142823 -204 -13 221 27 2
149 0.0124 192.255 0.83137 220.035 -0.00208 -27.780 -142976 -192 -6 221 28 1
150 0.0125 180.338 0.82928 209.257 -0.00218 -28.919 -142998 -180 0 220 29 0
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153 0.0128 144.654 0.82246 177.384 -0.00248 -32.730 -142277 -144 14 220 33 -3
154 0.0128 132.818 0.81998 166.970 -0.00260 -34.152 -141775 -132 17 219 34 -4
155 0.0129 121.029 0.81737 156.690 -0.00273 -35.662 -141142 -120 19 219 35 -6
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164 0.0137 18.820 0.78711 73.673 -0.00436 -54.852 -129722 -17 8 217 50 -23
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173 0.0144 -71.157 0.73686 19.693 -0.00741 -90.850 -108739 53 -47 219 68 -60
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183 0.0153 -148.804 0.64342 1.308 -0.01157 -150.112 -76223 76 -128 226 76 -129
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211 0.0176 -195.502 0.26827 0.000 -0.01220 -195.502 37763 -66 -184 263 -66 -184
212 0.0177 -192.190 0.25607 0.000 -0.01189 -192.190 41713 -71 -179 264 -71 -179
213 0.0178 -188.551 0.24418 0.000 -0.01156 -188.551 45614 -75 -173 266 -75 -173
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227 0.0189 -106.163 0.12093 0.000 -0.00502 -106.163 93105 -80 -70 279 -80 -70
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230 0.0192 -81.874 0.10764 0.000 -0.00322 -81.874 101048 -66 -48 281 -66 -48
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233 0.0194 -55.719 0.09984 0.000 -0.00133 -55.719 108033 -48 -28 283 -48 -28
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235 0.0196 -37.365 0.09784 0.000 -0.00001 -37.365 112127 -33 -17 284 -33 -17
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239 0.0199 1.191 0.10184 0.000 0.00271 1.191 118892 1 0 285 1 0
240 0.0200 11.158 0.10455 0.000 0.00340 11.158 120278 11 3 286 11 3
241 0.0201 21.234 0.10795 0.000 0.00410 21.234 121538 20 6 286 20 6
242 0.0202 31.411 0.11205 0.000 0.00481 31.411 122672 30 8 286 30 8
243 0.0203 41.676 0.11686 0.000 0.00551 41.676 123678 41 9 286 41 9
244 0.0203 52.020 0.12237 0.000 0.00622 52.020 124556 51 10 287 51 10
245 0.0204 62.432 0.12859 0.000 0.00693 62.432 125304 62 10 287 62 10
246 0.0205 72.900 0.13552 0.000 0.00764 72.900 125923 72 9 287 72 9
247 0.0206 83.415 0.14317 0.000 0.00836 83.415 126410 83 8 287 83 8
248 0.0207 93.965 0.15152 0.000 0.00907 93.965 126767 94 6 287 94 6
249 0.0208 104.539 0.16059 0.000 0.00978 104.539 126992 104 3 287 104 3
250 0.0208 115.127 0.17037 0.000 0.01048 115.127 127086 115 0 287 115 0
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252 0.0210 136.298 0.19204 0.000 0.01189 136.298 126878 136 -9 287 136 -9
253 0.0211 146.859 0.20393 0.000 0.01259 146.859 126577 146 -14 287 146 -14
254 0.0212 157.390 0.21652 0.000 0.01328 157.390 126145 156 -20 287 156 -20
255 0.0213 167.880 0.22980 0.000 0.01397 167.880 125583 166 -26 286 166 -26
256 0.0213 178.317 0.24377 0.000 0.01465 178.317 124890 175 -33 286 175 -33
257 0.0214 188.691 0.25842 0.000 0.01532 188.691 124068 184 -41 286 184 -41
258 0.0215 198.992 0.27374 0.000 0.01599 198.992 123117 193 -49 286 193 -49
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1052 0.0877 25.347 -0.69571 -6.240 0.00481 31.587 132854 25 -2 251 32 -2
1053 0.0878 36.406 -0.69090 -5.431 0.00549 41.837 132526 36 -3 251 42 -4
1054 0.0878 47.431 -0.68541 -4.630 0.00617 52.061 132067 47 -6 251 52 -7
1055 0.0879 58.413 -0.67924 -3.864 0.00685 62.277 131478 58 -9 251 62 -10
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1057 0.0881 80.203 -0.66485 -2.518 0.00822 82.721 129910 78 -17 251 81 -18
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1063 0.0886 143.409 -0.60534 -0.386 0.01225 143.795 122163 132 -57 251 132 -57
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1067 0.0889 182.916 -0.55258 -0.062 0.01472 182.978 114567 157 -93 251 157 -93
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1091 0.0909 342.156 -0.07391 0.000 0.02363 342.156 37043 95 -329 250 95 -329
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1433 0.1194 -179.404 -0.69003 -5.296 -0.00872 -174.108 114694 -154 -91 250 -150 -89
1434 0.1195 -169.758 -0.69874 -6.807 -0.00788 -162.951 116769 -149 -82 250 -143 -79
1435 0.1196 -159.945 -0.70662 -8.518 -0.00702 -151.428 118728 -143 -73 250 -135 -69
1436 0.1197 -149.974 -0.71364 -10.380 -0.00617 -139.593 120571 -136 -64 250 -126 -59
1437 0.1198 -139.853 -0.71981 -12.329 -0.00532 -127.525 122294 -128 -56 250 -117 -51
1438 0.1198 -129.595 -0.72512 -14.283 -0.00448 -115.311 123896 -120 -48 250 -107 -42
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1450 0.1208 0.528 -0.73121 -16.884 0.00366 17.412 133258 1 0 250 17 0
1451 0.1209 11.631 -0.72755 -15.273 0.00426 26.903 133192 12 0 250 27 -1
1452 0.1210 22.723 -0.72329 -13.579 0.00487 36.302 132995 23 -1 250 36 -2
1453 0.1211 33.793 -0.71842 -11.861 0.00549 45.654 132667 34 -3 250 45 -4
1454 0.1212 44.830 -0.71292 -10.173 0.00613 55.003 132207 44 -6 250 55 -7
1455 0.1213 55.824 -0.70679 -8.560 0.00677 64.384 131617 55 -9 250 64 -10
1456 0.1213 66.763 -0.70003 -7.062 0.00742 73.825 130898 66 -13 250 73 -14
1457 0.1214 77.636 -0.69261 -5.707 0.00808 83.343 130049 76 -17 250 81 -18
1458 0.1215 88.434 -0.68453 -4.513 0.00874 92.947 129071 86 -22 250 90 -23
1459 0.1216 99.145 -0.67579 -3.490 0.00941 102.635 127967 95 -28 250 99 -29
1460 0.1217 109.758 -0.66638 -2.636 0.01008 112.394 126736 104 -34 250 107 -35
1461 0.1218 120.264 -0.65629 -1.943 0.01075 122.207 125379 113 -41 250 115 -41
1462 0.1218 130.651 -0.64554 -1.397 0.01141 132.048 123899 121 -48 250 123 -49
1463 0.1219 140.910 -0.63413 -0.978 0.01206 141.888 122297 129 -56 250 130 -56
1464 0.1220 151.031 -0.62207 -0.666 0.01271 151.697 120574 137 -64 250 137 -65
1465 0.1221 161.003 -0.60936 -0.441 0.01334 161.443 118732 143 -73 250 144 -73
1466 0.1222 170.816 -0.59603 -0.283 0.01395 171.099 116773 150 -82 250 150 -82
1467 0.1223 180.462 -0.58207 -0.176 0.01455 180.638 114699 155 -92 250 155 -92
1468 0.1223 189.929 -0.56752 -0.106 0.01514 190.036 112511 160 -102 250 160 -102
1469 0.1224 199.210 -0.55238 -0.062 0.01571 199.272 110212 165 -112 250 165 -112
1470 0.1225 208.295 -0.53667 -0.035 0.01627 208.330 107805 169 -122 250 169 -122
1471 0.1226 217.175 -0.52040 -0.019 0.01680 217.194 105291 172 -133 250 172 -133
1472 0.1227 225.841 -0.50360 -0.010 0.01732 225.851 102673 174 -144 250 174 -144
1473 0.1228 234.284 -0.48627 -0.005 0.01783 234.289 99954 176 -155 250 176 -155
1474 0.1228 242.497 -0.46844 -0.002 0.01831 242.499 97136 177 -166 250 177 -166
1475 0.1229 250.471 -0.45013 -0.001 0.01878 250.472 94222 177 -177 250 177 -177
1476 0.1230 258.198 -0.43135 0.000 0.01923 258.199 91215 177 -188 250 177 -188
1477 0.1231 265.671 -0.41212 0.000 0.01966 265.671 88119 176 -199 250 176 -199
1478 0.1232 272.882 -0.39246 0.000 0.02007 272.882 84935 174 -210 250 174 -210
1479 0.1233 279.824 -0.37239 0.000 0.02046 279.824 81667 172 -221 250 172 -221
1480 0.1233 286.491 -0.35193 0.000 0.02083 286.491 78319 168 -232 250 168 -232
1481 0.1234 292.875 -0.33110 0.000 0.02118 292.875 74893 165 -242 250 165 -242
1482 0.1235 298.971 -0.30992 0.000 0.02151 298.971 71394 160 -252 250 160 -252
1483 0.1236 304.772 -0.28841 0.000 0.02182 304.772 67824 155 -262 250 155 -262
1484 0.1237 310.273 -0.26659 0.000 0.02210 310.273 64187 149 -272 250 149 -272
1485 0.1238 315.468 -0.24449 0.000 0.02237 315.468 60486 143 -281 250 143 -281
1486 0.1238 320.353 -0.22212 0.000 0.02261 320.353 56726 136 -290 250 136 -290
1487 0.1239 324.921 -0.19951 0.000 0.02283 324.921 52910 129 -298 250 129 -298
1488 0.1240 329.170 -0.17668 0.000 0.02303 329.170 49042 121 -306 250 121 -306
1489 0.1241 333.094 -0.15365 0.000 0.02320 333.094 45125 113 -313 250 113 -313
1490 0.1242 336.689 -0.13045 0.000 0.02336 336.689 41164 104 -320 250 104 -320
1491 0.1243 339.953 -0.10709 0.000 0.02349 339.953 37162 95 -326 250 95 -326
1492 0.1243 342.882 -0.08361 0.000 0.02359 342.882 33123 85 -332 250 85 -332
1493 0.1244 345.473 -0.06001 0.000 0.02367 345.473 29052 75 -337 250 75 -337
1494 0.1245 347.723 -0.03634 0.000 0.02373 347.723 24952 65 -342 250 65 -342
1495 0.1246 349.631 -0.01261 0.000 0.02377 349.631 20827 55 -345 250 55 -345
1496 0.1247 351.194 0.01116 0.000 0.02378 351.194 16682 44 -348 250 44 -348
1497 0.1248 352.411 0.03494 0.000 0.02377 352.411 12520 33 -351 250 33 -351
1498 0.1248 353.280 0.05871 0.000 0.02374 353.280 8346 22 -353 250 22 -353
1499 0.1249 353.801 0.08245 0.000 0.02368 353.801 4164 11 -354 250 11 -354
1500 0.1250 353.974 0.10613 0.000 0.02360 353.974 -23 0 -354 250 0 -354
1501 0.1251 353.798 0.12973 0.000 0.02349 353.798 -4209 -11 -354 250 -11 -354
1502 0.1252 353.273 0.15322 0.000 0.02337 353.273 -8392 -22 -353 250 -22 -353
1503 0.1253 352.399 0.17659 0.000 0.02322 352.399 -12566 -33 -351 250 -33 -351
1504 0.1253 351.179 0.19980 0.000 0.02304 351.179 -16727 -44 -348 250 -44 -348
1505 0.1254 349.612 0.22284 0.000 0.02285 349.612 -20873 -55 -345 250 -55 -345
1506 0.1255 347.700 0.24569 0.000 0.02263 347.700 -24997 -65 -342 250 -65 -342
1507 0.1256 345.446 0.26832 0.000 0.02239 345.446 -29097 -75 -337 250 -75 -337
1508 0.1257 342.852 0.29070 0.000 0.02212 342.852 -33169 -85 -332 250 -85 -332
1509 0.1258 339.919 0.31283 0.000 0.02184 339.919 -37207 -95 -326 250 -95 -326
1510 0.1258 336.651 0.33467 0.000 0.02153 336.651 -41209 -104 -320 250 -104 -320
1511 0.1259 333.052 0.35620 0.000 0.02120 333.052 -45171 -113 -313 250 -113 -313
1512 0.1260 329.124 0.37740 0.000 0.02086 329.124 -49087 -121 -306 250 -121 -306
1513 0.1261 324.872 0.39826 0.000 0.02049 324.872 -52956 -129 -298 250 -129 -298
1514 0.1262 320.300 0.41875 0.000 0.02010 320.299 -56772 -136 -290 250 -136 -290
1515 0.1263 315.412 0.43885 0.001 0.01969 315.411 -60532 -143 -281 250 -143 -281
1516 0.1263 310.213 0.45854 0.001 0.01926 310.211 -64232 -149 -272 250 -149 -272
1517 0.1264 304.708 0.47780 0.003 0.01881 304.705 -67869 -155 -262 250 -155 -262
1518 0.1265 298.903 0.49661 0.007 0.01835 298.896 -71439 -160 -252 250 -160 -252
1519 0.1266 292.803 0.51495 0.015 0.01786 292.788 -74939 -165 -242 250 -165 -242
1520 0.1267 286.415 0.53281 0.030 0.01735 286.385 -78364 -168 -232 250 -168 -232
1521 0.1268 279.745 0.55017 0.057 0.01683 279.688 -81713 -171 -221 250 -171 -221
1522 0.1268 272.799 0.56700 0.104 0.01629 272.694 -84980 -174 -210 250 -174 -210
1523 0.1269 265.584 0.58329 0.184 0.01572 265.400 -88164 -176 -199 250 -176 -199
1524 0.1270 258.107 0.59900 0.313 0.01513 257.794 -91261 -177 -188 250 -176 -188
1525 0.1271 250.376 0.61413 0.515 0.01451 249.861 -94268 -177 -177 250 -177 -177
1526 0.1272 242.398 0.62864 0.822 0.01386 241.577 -97182 -177 -166 250 -176 -165
1527 0.1273 234.182 0.64250 1.271 0.01318 232.911 -100000 -176 -155 250 -175 -154
1528 0.1273 225.735 0.65568 1.907 0.01246 223.827 -102719 -174 -144 250 -172 -143
1529 0.1274 217.065 0.66814 2.779 0.01170 214.286 -105337 -172 -133 250 -169 -131
1530 0.1275 208.181 0.67984 3.933 0.01090 204.248 -107851 -168 -122 250 -165 -120
1531 0.1276 199.093 0.69073 5.406 0.01006 193.687 -110258 -165 -112 250 -160 -109
1532 0.1277 189.808 0.70079 7.218 0.00918 182.590 -112557 -160 -102 250 -154 -98
1533 0.1278 180.336 0.70998 9.365 0.00828 170.972 -114745 -155 -92 250 -147 -87
1534 0.1278 170.687 0.71826 11.809 0.00737 158.878 -116819 -150 -82 250 -139 -77
1535 0.1279 160.870 0.72562 14.483 0.00645 146.386 -118778 -143 -73 250 -130 -66
1536 0.1280 150.894 0.73208 17.288 0.00555 133.606 -120620 -137 -64 250 -121 -57
1537 0.1281 140.770 0.73762 20.104 0.00467 120.665 -122343 -129 -56 250 -111 -48
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1539 0.1283 120.115 0.74610 25.271 0.00301 94.845 -125425 -113 -41 250 -89 -32
1540 0.1283 109.606 0.74911 27.389 0.00224 82.216 -126782 -104 -34 250 -78 -25
1541 0.1284 98.989 0.75136 29.078 0.00152 69.911 -128013 -95 -28 250 -67 -20
1542 0.1285 88.274 0.75288 30.276 0.00083 57.998 -129118 -86 -22 250 -56 -14
1543 0.1286 77.473 0.75371 30.954 0.00019 46.518 -130095 -76 -17 250 -45 -10
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1545 0.1288 55.652 0.75346 30.751 -0.00103 24.901 -131664 -55 -9 250 -25 -4
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1652 0.1377 22.413 -0.72724 -15.142 0.00490 37.554 133012 22 -1 250 37 -2
1653 0.1378 33.484 -0.72234 -13.226 0.00551 46.710 132683 33 -3 250 47 -4
1654 0.1378 44.523 -0.71683 -11.347 0.00613 55.870 132224 44 -6 250 55 -7
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1657 0.1381 77.333 -0.69652 -6.387 0.00806 83.720 130065 75 -17 250 82 -18
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1663 0.1386 140.615 -0.63816 -1.110 0.01204 141.725 122313 129 -56 250 130 -56
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1665 0.1388 160.710 -0.61343 -0.503 0.01331 161.214 118748 143 -73 250 144 -73
1666 0.1388 170.525 -0.60012 -0.325 0.01393 170.850 116789 149 -82 250 150 -82
1667 0.1389 180.172 -0.58619 -0.203 0.01453 180.375 114714 155 -92 250 155 -92
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1762 0.1468 -130.021 0.65435 1.831 -0.01136 -131.853 -123933 121 -48 250 123 -49
1763 0.1469 -140.283 0.64299 1.290 -0.01201 -141.573 -122331 129 -56 250 130 -56
1764 0.1470 -150.406 0.63097 0.885 -0.01266 -151.291 -120608 136 -64 250 137 -64
1765 0.1471 -160.381 0.61831 0.590 -0.01329 -160.971 -118766 143 -73 250 143 -73
1766 0.1472 -170.197 0.60502 0.382 -0.01391 -170.579 -116806 149 -82 250 149 -82
1767 0.1473 -179.846 0.59112 0.240 -0.01451 -180.086 -114732 155 -92 250 155 -92
1768 0.1473 -189.316 0.57661 0.146 -0.01510 -189.462 -112544 160 -101 250 160 -102
1769 0.1474 -198.600 0.56151 0.086 -0.01567 -198.686 -110245 164 -112 250 164 -112
1770 0.1475 -207.687 0.54584 0.049 -0.01623 -207.736 -107838 168 -122 250 168 -122
1771 0.1476 -216.570 0.52961 0.027 -0.01676 -216.597 -105323 171 -133 250 171 -133
1772 0.1477 -225.238 0.51285 0.014 -0.01728 -225.253 -102705 174 -144 250 174 -144
1773 0.1478 -233.685 0.49556 0.007 -0.01779 -233.692 -99986 175 -155 250 175 -155
1774 0.1478 -241.900 0.47778 0.003 -0.01827 -241.904 -97168 176 -166 250 176 -166
1775 0.1479 -249.877 0.45950 0.002 -0.01874 -249.878 -94254 177 -177 250 177 -177
1776 0.1480 -257.607 0.44076 0.001 -0.01919 -257.607 -91247 176 -188 250 176 -188
1777 0.1481 -265.082 0.42157 0.000 -0.01962 -265.082 -88150 175 -199 250 175 -199
1778 0.1482 -272.296 0.40195 0.000 -0.02003 -272.296 -84966 174 -210 250 174 -210
1779 0.1483 -279.241 0.38192 0.000 -0.02042 -279.241 -81699 171 -221 250 171 -221
1780 0.1483 -285.910 0.36150 0.000 -0.02079 -285.910 -78350 168 -231 250 168 -231
1781 0.1484 -292.297 0.34070 0.000 -0.02114 -292.297 -74924 164 -242 250 164 -242
1782 0.1485 -298.395 0.31956 0.000 -0.02147 -298.395 -71425 160 -252 250 160 -252
1783 0.1486 -304.199 0.29809 0.000 -0.02178 -304.199 -67855 155 -262 250 155 -262
1784 0.1487 -309.703 0.27631 0.000 -0.02207 -309.703 -64217 149 -271 250 149 -271
1785 0.1488 -314.900 0.25424 0.000 -0.02233 -314.900 -60517 143 -281 250 143 -281
1786 0.1488 -319.787 0.23191 0.000 -0.02257 -319.787 -56757 136 -289 250 136 -289
1787 0.1489 -324.358 0.20934 0.000 -0.02279 -324.358 -52941 129 -298 250 129 -298
1788 0.1490 -328.609 0.18654 0.000 -0.02299 -328.609 -49072 121 -306 250 121 -306
1789 0.1491 -332.536 0.16355 0.000 -0.02317 -332.536 -45155 113 -313 250 113 -313
1790 0.1492 -336.134 0.14038 0.000 -0.02332 -336.134 -41194 104 -320 250 104 -320
1791 0.1493 -339.400 0.11706 0.000 -0.02345 -339.400 -37192 95 -326 250 95 -326
1792 0.1493 -342.331 0.09362 0.000 -0.02355 -342.331 -33153 85 -332 250 85 -332
1793 0.1494 -344.925 0.07006 0.000 -0.02364 -344.925 -29082 75 -337 250 75 -337
1794 0.1495 -347.177 0.04642 0.000 -0.02370 -347.177 -24981 65 -341 250 65 -341
1795 0.1496 -349.088 0.02273 0.000 -0.02373 -349.088 -20857 55 -345 250 55 -345
1796 0.1497 -350.653 -0.00101 0.000 -0.02375 -350.653 -16711 44 -348 250 44 -348
1797 0.1498 -351.872 -0.02475 0.000 -0.02374 -351.872 -12549 33 -350 250 33 -350
1798 0.1498 -352.744 -0.04849 0.000 -0.02370 -352.744 -8375 22 -352 250 22 -352
1799 0.1499 -353.268 -0.07219 0.000 -0.02364 -353.268 -4193 11 -353 250 11 -353
1800 0.1500 -353.443 -0.09584 0.000 -0.02356 -353.443 -6 0 -353 250 0 -353
tance = Rw + Rb = 0.800 ohms
er factor = 0.992 --- CALCULATION OF FORM FACTOR
dance = 0.806 ohms
0.019 seconds S= 20
corresponding to Vs 0.750 Wb-turns INDEX = 0 1 2 3 4 5 6
376.99 rad/s ANGLE = 0 0.0157 0.03141593 0.047124 0.062832 0.07854 0.094248
0.35408 (SINE^S)^2 = 0 0.0000 7.64077E-61 8.379E-54 8.237E-49 6.106E-45 8.813E-42
antaneous ie
curve: ie = A * l^S : 8.84E+03 --- RP = 0.354077
0.000083 seconds
0.00027 henries
DFT with a one-cycle window.
6 76 16 56 96 36 76
12 13 13 13 14 14
0. 0. 0. 0. 0. 0.
Mag. Of Fund'l Phase Phase
IDEAL ACTUAL
I2MAG I1PH I2PH
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
0 0.0 0.0
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0 0.0 0.0
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0 0.0 0.0
0 0.0 0.0
0 90 90
0 -92 -92
0 -93 -93
0 -94 -94
0 -95 -95
0 -96 -96
0 -97 -97
0 -98 -98
0 -98 -98
0 -98 -98
0 -97 -97
0 -94 -94
0 -82 -82
0 -13 -13
0 44 44
0 54 54
0 57 57
1 58 58
1 58 58
1 57 57
1 57 57
1 56 56
2 55 55
2 54 54
3 53 53
3 51 51
4 50 50
4 49 49
5 48 48
5 47 47
6 45 45
7 44 44
8 43 43
9 42 42
9 40 40
10 39 39
11 38 38
13 37 37
14 35 35
15 34 34
16 33 33
18 31 31
19 30 30
20 29 29
22 28 28
23 26 26
25 25 25
27 24 24
29 22 22
30 21 21
32 20 20
34 19 19
36 17 17
38 16 16
40 15 15
42 13 14
43 12 13
45 11 12
46 10 11
48 8 10
49 7 9
50 6 9
51 5 8
51 3 8
52 2 7
52 1 7
53 0 7
53 -2 7
53 -3 6
54 -4 6
54 -5 6
54 -7 6
54 -8 6
54 -9 5
54 -10 5
54 -12 5
55 -13 5
55 -14 5
55 -15 5
55 -16 5
55 -18 5
55 -19 5
55 -20 5
55 -21 5
55 -22 4
55 -23 4
55 -25 4
55 -26 4
55 -27 4
55 -28 4
55 -29 4
55 -30 4
55 -32 4
55 -33 4
55 -34 4
55 -35 4
55 -36 4
55 -37 4
55 -38 4
55 -39 4
55 -40 4
55 -41 4
55 -43 4
55 -44 4
55 -45 4
55 -46 4
55 -47 4
55 -48 4
55 -49 4
55 -50 4
55 -51 4
55 -52 4
55 -53 4
55 -54 4
55 -55 4
55 -56 4
55 -57 4
55 -57 5
55 -58 5
55 -59 5
55 -60 5
55 -61 5
55 -62 5
55 -63 5
55 -63 5
55 -64 5
56 -65 5
56 -66 5
56 -67 5
56 -67 5
56 -68 5
56 -69 5
56 -70 5
56 -70 5
56 -71 5
56 -72 5
56 -72 5
57 -73 5
57 -73 5
57 -74 6
57 -74 6
57 -75 6
57 -75 6
57 -76 6
58 -76 6
58 -77 6
58 -77 6
58 -78 6
58 -78 6
58 -78 6
59 -79 6
59 -79 6
59 -79 6
59 -80 6
60 -80 5
60 -80 5
60 -80 5
60 -80 5
61 -80 5
61 -81 5
61 -81 5
61 -81 5
62 -81 5
62 -81 4
62 -81 4
63 -81 4
63 -81 4
63 -81 4
64 -81 3
64 -81 3
65 -81 3
65 -81 3
66 -81 2
66 -81 2
67 -80 1
67 -80 1
68 -80 0
68 -80 0
69 -80 -1
69 -80 -1
70 -80 -2
70 -80 -2
71 -80 -3
72 -80 -4
72 -79 -5
73 -79 -5
73 -79 -6
74 -79 -7
75 -79 -8
75 -79 -9
76 -79 -10
76 -79 -10
77 -79 -11
77 -79 -12
78 -79 -13
79 -79 -14
79 -79 -15
80 -79 -16
80 -79 -17
81 -79 -18
81 -79 -19
82 -79 -20
82 -79 -21
82 -80 -22
83 -80 -23
83 -80 -24
84 -80 -25
84 -80 -26
84 -80 -27
84 -80 -28
85 -80 -29
85 -81 -30
85 -81 -31
85 -81 -32
85 -81 -33
86 -81 -33
86 -81 -34
86 -82 -35
86 -82 -36
86 -82 -37
86 -82 -38
86 -82 -39
86 -83 -40
86 -83 -41
86 -83 -42
86 -83 -42
86 -83 -43
86 -84 -44
86 -84 -45
85 -84 -46
85 -84 -47
85 -85 -48
85 -85 -49
85 -85 -49
84 -85 -50
84 -85 -51
84 -86 -52
83 -86 -53
83 -86 -54
83 -86 -54
82 -87 -55
82 -87 -56
82 -87 -57
81 -87 -58
81 -88 -58
80 -88 -59
80 -88 -60
79 -88 -61
79 -89 -62
78 -89 -62
78 -89 -63
77 -89 -64
77 -90 -65
76 -90 -65
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75 -90 -66
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74 -91 -67
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75 -92 -67
76 -92 -66
76 -92 -66
77 -92 -65
78 -92 -65
79 -93 -64
81 -93 -63
82 -93 -63
84 -93 -62
86 -93 -62
88 -94 -61
89 -94 -61
92 -94 -60
94 -94 -60
96 -94 -59
98 -94 -59
101 -95 -59
103 -95 -59
106 -95 -58
108 -95 -58
111 -95 -58
113 -95 -58
115 -95 -58
116 -95 -58
118 -96 -58
119 -96 -58
120 -96 -59
121 -96 -59
122 -96 -59
123 -96 -59
123 -96 -59
124 -96 -59
124 -96 -59
124 -96 -59
124 -96 -59
125 -96 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
125 -97 -59
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125 -96 -59
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126 -91 -59
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126 -91 -59
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126 -90 -59
126 -90 -59
126 -90 -59
126 -90 -59
126 -90 -59
126 -89 -58
126 -89 -58
126 -89 -58
127 -89 -58
127 -89 -58
127 -89 -58
127 -88 -58
128 -88 -58
128 -88 -58
128 -88 -58
128 -88 -58
129 -88 -58
129 -88 -58
130 -87 -58
130 -87 -57
131 -87 -57
131 -87 -57
132 -87 -57
132 -87 -57
133 -87 -57
134 -87 -57
134 -87 -57
135 -86 -57
135 -86 -57
136 -86 -57
137 -86 -57
137 -86 -57
138 -86 -57
139 -86 -57
139 -86 -57
140 -86 -57
141 -86 -57
141 -86 -57
142 -86 -57
142 -86 -57
143 -86 -58
144 -86 -58
144 -86 -58
145 -86 -58
145 -86 -58
146 -86 -58
146 -86 -58
147 -86 -58
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148 -86 -58
148 -86 -59
149 -86 -59
149 -86 -59
150 -86 -59
150 -86 -59
151 -86 -59
151 -86 -59
151 -86 -60
152 -86 -60
152 -86 -60
153 -86 -60
153 -86 -60
153 -86 -60
153 -86 -61
154 -86 -61
154 -86 -61
154 -86 -61
155 -87 -61
155 -87 -62
155 -87 -62
155 -87 -62
155 -87 -62
156 -87 -62
156 -87 -63
156 -87 -63
156 -87 -63
156 -87 -63
156 -87 -63
156 -88 -63
156 -88 -64
156 -88 -64
157 -88 -64
157 -88 -64
157 -88 -64
157 -88 -65
157 -88 -65
157 -88 -65
156 -88 -65
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156 -89 -66
156 -89 -66
156 -89 -66
156 -89 -66
156 -89 -66
156 -89 -67
155 -89 -67
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155 -90 -67
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154 -90 -68
154 -90 -68
154 -90 -68
154 -90 -68
153 -90 -68
153 -90 -68
153 -90 -68
153 -91 -69
152 -91 -69
152 -91 -69
152 -91 -69
151 -91 -69
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151 -91 -69
150 -91 -69
150 -91 -69
150 -91 -70
149 -91 -70
149 -92 -70
148 -92 -70
148 -92 -70
148 -92 -70
147 -92 -70
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146 -92 -70
146 -92 -70
146 -92 -70
146 -92 -70
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148 -92 -70
149 -92 -70
150 -92 -70
152 -93 -70
154 -93 -70
156 -93 -70
158 -93 -70
160 -93 -70
163 -93 -70
165 -93 -70
167 -93 -71
170 -93 -71
172 -93 -71
175 -93 -71
177 -93 -71
180 -93 -72
182 -93 -72
185 -93 -72
187 -93 -73
190 -93 -73
192 -93 -73
194 -93 -74
196 -93 -74
198 -93 -74
199 -93 -74
200 -93 -75
201 -93 -75
202 -93 -75
203 -93 -75
204 -93 -75
204 -92 -76
205 -92 -76
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206 -92 -76
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218 -91 -78
218 -91 -78
218 -91 -78
218 -91 -78
218 -91 -78
218 -91 -78
217 -91 -78
217 -91 -78
217 -91 -78
217 -91 -78
217 -91 -78
217 -91 -78
217 -91 -78
216 -91 -78
216 -91 -78
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7 8 9 10 11 12 13 14 15 16 17 18 19
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4.10864E-39 8.369E-37 9.049E-35 5.933E-33 2.594E-31 8.111E-30 1.913E-28 3.545E-27 5.338E-26 6.704E-25 7.175E-24 6.662E-23 5.448E-22
20 21 22 23 24 25 26 27 28 29 30 31 32
0.314159 0.329867 0.345575 0.361283 0.376991 0.392699 0.408407 0.424115 0.439823 0.455531 0.471239 0.486947 0.502655
3.975E-21 2.614E-20 1.565E-19 8.597E-19 4.363E-18 2.059E-17 9.08E-17 3.762E-16 1.47E-15 5.441E-15 1.914E-14 6.415E-14 2.056E-13
33 34 35 36 37 38 39 40 41 42 43 44 45
0.518363 0.534071 0.549779 0.565487 0.581195 0.596903 0.612611 0.628319 0.644026 0.659734 0.675442 0.69115 0.706858
6.314E-13 1.863E-12 5.289E-12 1.449E-11 3.834E-11 9.818E-11 2.437E-10 5.871E-10 1.375E-09 3.132E-09 6.949E-09 1.504E-08 3.175E-08
46 47 48 49 50 51 52 53 54 55 56 57 58
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
6.55E-08 1.321E-07 2.607E-07 5.037E-07 9.537E-07 1.77E-06 3.224E-06 5.762E-06 1.012E-05 1.745E-05 2.959E-05 4.936E-05 8.1E-05
59 60 61 62 63 64 65 66 67 68 69 70 71
0.92677 0.942478 0.958186 0.973894 0.989602 1.00531 1.021018 1.036726 1.052434 1.068142 1.083849 1.099557 1.115265
0.000131 0.000208 0.000326 0.000503 0.000766 0.001149 0.001701 0.002483 0.003576 0.005084 0.007136 0.009891 0.013539
72 73 74 75 76 77 78 79 80 81 82 83 84
1.130973 1.146681 1.162389 1.178097 1.193805 1.209513 1.225221 1.240929 1.256637 1.272345 1.288053 1.303761 1.319469
0.018307 0.024458 0.03229 0.042132 0.054343 0.069297 0.087374 0.108946 0.134355 0.163891 0.197771 0.236115 0.278918
85 86 87 88 89 90 91 92 93 94 95 96 97
1.335177 1.350885 1.366593 1.382301 1.398009 1.413717 1.429425 1.445133 1.460841 1.476549 1.492257 1.507964 1.523672
0.326032 0.377147 0.431778 0.489261 0.548753 0.609252 0.669612 0.728577 0.784825 0.837012 0.883824 0.924032 0.956543
98 99 100
1.53938 1.555088 1.570796
0.980451 0.995077 1
Introduction
CONTENTS:
CT Saturation Calculator
Introduction
Instructions
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 using
and 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 conditions
at the low end portion of the iron saturation curve. Consequently, hysteresis loss and eddy current loss are not modeled because
they 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 plotted
as a straight line for the saturated portion of the curve. This implies a pure power law relating instantaneous voltage to
instantaneous 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 amps
excitation current, the voltage being sinusoidal and the current being related to flux by an Sth(only) order function. If the 10-amp
value 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 for
Current, Voltage, and Coupling Capacitor Voltage Transformers," Working Group C5 of PSRC, IEEE Trans on Power Delivery, Jan
2000, pp. 62-72. (Note that there is an error in figures 4a and 5a of that paper: there was actually non-zero remanence for this
case, as confirmed with the authors.)
Version: 11 June 2002
Page 77
CONTENTS:
CT Saturation Calculator
Introduction
Instructions
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
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 am
maximum accuracy, this should be a measured value supplied by the manufacturer. For example, a C400 CT has a nominal Vs of 400 volts r
the actual measured Vs will be a higher value; it could be 420 volts rms for example.
Note: actual measurements by the manufacturer may not have been made with a "true rms" meter. It has been determined that the error du
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 scales with the decade
equal on both axes. "S" is defined as the reciprocal of this slope. You should get a slope such that S is in the neighborhood of 15<S<25. Not
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 current waveform (up to 1 p
the primary system X/R ratio, the remanence**, and the primary symmetrical rms current.
Once any change to an INPUT parameter is made, a new plot appears automatically. The scale adjustment is automatic and the plot is belie
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 is 10 amps rms, then
secondary current is typically 93 amps rms, not 90 amps rms. This is because the exciting current is both out of phase and non-sinusoidal, so simple subtrac
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 the maximum remanence val
Note that the polarities for this simulation are such that a positive remanence is the "worst-case" condition for premature saturation.
HOW TO MEASURE THE SLOPE
Use a ruler to determine the slope.
10
Do NOT read currents or voltages for this purpose.
(We assume equal decade spacing of the axes)
9
8
7
6
Ruler, inches or centimeters
5
4
slope = 0.7/9.3 = 1/S
3
2
S = 9.3/0.7 = 13
1
0
6
Ruler, inches or centimeters
5
4
slope = 0.7/9.3 = 1/S
3
2
S = 9.3/0.7 = 13
1
0
CONTENTS:
CT Saturation Calculator
Introduction
Instructions
About NxtPhase
About NxtPhase
APT Relays and Recorders
Our APT relay and recorder products are smart, easy to use and meet the challenges of the changing utility industry. They achieve 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 Relay
T-PRO Transformer Protection Relay
F-PRO Feeder Protection Relay
B-PRO Bus Protection Relay
TESLA Disturbance Fault Recorder
RecordBase Central Station
For additional information, visit our website at:
www.nxtphase.com
or email us at info@nxtphase.com
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