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839, 843, 853, 856, 876, 888, 894, 898, 908, 911, 935, 942, 961, 964, 1006, 1061, 1067, 1073, 1076, 1105, 1138, 1150, 1157, 1162, 1212, 1223, 1271, 1279, 1312, 1316, 1342, 1351, 1358, 1366, 1374, 1391, 1405, 1441, 1463, 1466, 1485, 1490, 1497, 1528, 1536, 1550, 1554, 1568, 1572, 1594, 1640, 1655, 1659, 1666, 1669, 1690, 1704, 1712, 1743, 1752, 1764, 1839, 1846, 1850, 1863, 1890, 1913, 1917, 1930, 1951, 1977, 2018, 2067, 2074, 2104, 2113, 2116, 2121, 2125, 2148, 2159, 2165, 2195, 2208, 2215, 2228, 2257, 2265, 2268, 2285, 2290, 2294, 2304, 2316, 2413, 2422, 2428, 2444, 2449, 2468, 2481, 2485, 2502, 2514, 2522, 2529, 2533, 2536, 2543, 2548, 2557, 2561, 2570, 2580, 2596, 2599, 2604, 2610, 2623, 2632, 2642, 2655, 2672, 2681, 2685, 2695, 2707, 2732, 2738, 2766, 2787, 2796, 2804, 2855, 2861, 2867, 2929, 2964, 2967, 2973, 2980, 2990, 2996, 3068, 3085, 3088, 3095, 3098, 3149, 3170, 3174, 3183, 3251, 3256, 3261, 3299, 3302, 3421, 3428, 3434, 3437, 3815, 4132, 4392, 4398, 4423, 4426, 4436, 4451, 4467, 4470, 4474, 4478, 4497, 4501, 4520, 4524, 4591, 4603], 'Wiley': [202], 'Online': [203], 'Library': [204], 'UseShareable': [209], 'LinkUse': [210], 'link': [212], 'article': [221], 'with': [222, 329, 386, 568, 704, 1047, 1087, 1143, 1171, 1259, 1281, 1516, 1556, 1617, 1677, 1720, 1774, 1961, 2057, 2243, 2352, 2504, 2528, 2654, 2770, 2933, 2951, 3071, 3159, 3194, 3308, 3334, 3366, 4602], 'your': [223], 'friends': [224], 'colleagues.': [226], 'Learn': [227], 'more.Copy': [228], 'URL': [229], 'Share': [230], 'linkShare': [232], 'onFacebookTwitterLinkedInRedditWechat': [233], 'Abstract': [234], 'In': [235, 531, 656, 696, 751, 801, 859, 916, 1020, 1128, 1243, 1402, 1650, 2519, 2546, 4420], 'study,': [237, 1130], 'discrete': [238, 698, 1533], 'wavelet': [239, 620, 699, 735, 774, 950, 1328, 1332, 1502, 1521, 1529, 1537, 1551, 1564, 1573, 1595, 1614, 1629, 1753, 1778, 1785, 1807, 1814, 1847, 1866, 1940, 2109, 2143], 'transform': [240, 700, 736, 775, 820, 951, 1329, 1503, 1522, 1530, 1552], '(DWT)': [241, 701], 'network': [245, 323, 707, 974, 1151, 1169, 2405, 2425, 2435, 2447, 2465, 2523, 2636, 2645, 2696, 2856], '(DNN)': [246, 1170], 'are': [247, 304, 316, 617, 709, 884, 947, 1345, 1397, 1420, 1429, 1438, 1482, 1583, 1697, 1711, 1767, 1787, 1882, 1909, 2014, 2176, 2254, 2280, 2298, 2478, 2492, 2583, 2740, 2784, 2793, 2816, 2847, 2870, 2993, 3273, 3430, 3464, 3685, 3701, 3727, 3762, 3774, 3788, 3837, 4081, 4093, 4106, 4154, 4415, 4598], 'utilised': [248, 527, 885, 1124, 1194, 1230, 2177, 2594, 2859], 'fault': [250, 264, 274, 296, 313, 348, 363, 369, 429, 436, 497, 500, 523, 551, 595, 645, 694, 712, 746, 755, 783, 794, 799, 804, 848, 862, 895, 918, 921, 939, 1028, 1106, 1117, 1141, 1196, 1234, 1283, 1286, 1355, 1375, 1413, 1416, 1868, 1959, 1964, 1969, 2166, 2185, 2201, 2261, 2277, 2295, 2320, 2400, 2431, 2450, 2487, 2495, 2509, 2663, 2667, 2711, 2735, 2752, 2756, 2788, 2807, 2813, 2825, 3253, 3268, 3271, 3305, 3317, 3325, 3332, 3341, 3346, 3357, 3376, 3387, 3444, 3452, 3462, 3481, 3489, 3504, 3533, 3562, 3591, 3620, 3682, 3691, 3698, 3705, 3713, 3731, 3739, 3749, 3760, 3780, 3794, 3817, 3826, 3841, 3850, 3863, 3868, 3891, 3920, 3949, 3978, 4007, 4069, 4079, 4099, 4112, 4134, 4141, 4158, 4166, 4179, 4183, 4205, 4234, 4263, 4292, 4321, 4380, 4394, 4403, 4413, 4439, 4468, 4491, 4503, 4508, 4511, 4518, 4529, 4539, 4546, 4558, 4565, 4577, 4584, 4596], 'in': [252, 263, 404, 484, 518, 528, 562, 702, 714, 910, 924, 1005, 1030, 1083, 1108, 1119, 1140, 1198, 1231, 1268, 1278, 1297, 1357, 1372, 1377, 1399, 1422, 1431, 1478, 1484, 1494, 1510, 1682, 1747, 1769, 1789, 1982, 1987, 2011, 2131, 2178, 2187, 2203, 2293, 2300, 2309, 2319, 2392, 2501, 2511, 2565, 2618, 2657, 2691, 2698, 2713, 2721, 2737, 2742, 2746, 2761, 2786, 2819, 2937, 2942, 2954, 2976, 2987, 3074, 3101, 3143, 3157, 3204, 3260, 3288, 3350, 3436, 3454, 3466, 3483, 3723, 3752, 3764, 3833, 3870, 4071, 4083, 4150, 4185, 4405, 4417, 4453, 4527, 4533, 4547, 4552, 4566, 4571, 4585, 4590], 'line.': [257, 289, 718, 1034, 1242, 1361, 2127], 'The': [258, 272, 354, 422, 464, 489, 553, 572, 583, 719, 779, 873, 900, 944, 981, 995, 1035, 1064, 1111, 1201, 1299, 1319, 1411, 1471, 1723, 1798, 1884, 1937, 1995, 2036, 2050, 2082, 2221, 2247, 2287, 2402, 2464, 2587, 2612, 2649, 2676, 2704, 2724, 2772, 2809, 2926, 3062, 3077, 3091, 3164, 3187, 3283, 3320, 3337, 3446, 3719, 3730, 3743, 3829, 3840, 4063, 4146, 4157, 4487], 'series': [259, 1088, 1136, 1239, 1378, 2714, 3063, 3111, 3200], 'compensation': [260, 1266, 3064, 3112], 'causes': [261], 'challenges': [262, 682], 'schemes': [266], 'lines.': [271, 655, 1110, 1381, 2189, 2205, 2998], 'presented': [273, 1398, 1430, 2299, 3073, 3349, 3465, 3763, 4082, 4599], 'method': [276, 723, 806, 904, 965, 996, 1069], 'has': [277, 438, 680, 1094, 1191, 1504, 1808, 1889, 3734, 3845, 4161], 'been': [278, 439, 1096, 1193, 1295, 1505], 'extensively': [279], 'tested': [280], 'SIMULINK': [283, 2977, 3102], 'model': [284, 1303, 2969, 2975, 2991, 3093], 'Features': [290], 'extracted': [291, 618, 948, 2249, 2416], 'from': [292, 687, 952, 1059, 1976, 2250, 2781, 2795, 3811, 4128, 4450], 'synchronous': [293], 'measurements': [294], 'currents': [297, 955], 'at': [298, 748, 835, 881, 941, 1599, 1631, 1703, 1972, 2831, 3084], 'three': [300, 452, 1051, 1062, 1765, 3277, 3456, 3754, 4073], 'terminals': [301, 1052, 1766, 4452], 'DWT': [303, 1454, 1523, 1605, 1773, 2419, 2800], 'fed': [305, 933, 1349, 2255, 2802], 'DNN.': [308], 'Faulted': [309, 325], 'section': [310, 326, 890, 922, 1293, 1417, 1872, 2278, 2503, 2753, 2836, 3263, 3314, 3326, 4549, 4568, 4587], 'determination': [311, 923, 1418, 1873, 2279, 2754, 3315], 'distance': [314, 1291, 1376, 1975, 2275, 2757, 3318, 3342, 3358, 3388, 3732, 4395], 'calculation': [315, 3343, 3359], 'carried': [317, 1010, 2281], 'out': [318, 1011, 2282], 'single': [321, 798], 'intelligent': [322, 584], 'simultaneously.': [324], 'is': [327, 337, 359, 380, 383, 470, 494, 503, 525, 724, 737, 762, 786, 815, 823, 845, 871, 905, 929, 975, 984, 989, 1009, 1025, 1037, 1070, 1099, 1176, 1179, 1229, 1274, 1304, 1369, 1384, 1409, 1476, 1524, 1570, 1603, 1661, 1689, 1725, 1803, 1832, 1980, 2017, 2046, 2060, 2066, 2073, 2096, 2099, 2103, 2108, 2112, 2120, 2214, 2272, 2307, 2407, 2410, 2453, 2540, 2551, 2593, 2616, 2622, 2631, 2641, 2652, 2661, 2665, 2671, 2684, 2719, 2935, 2970, 2985, 3065, 3080, 3103, 3151, 3166, 3189, 3264, 3286, 3327, 3348, 3360, 3363, 4483], 'determined': [328, 3328], '100%': [330, 3335], 'accuracy,': [331], 'efficiency': [334, 780], 'algorithm': [336, 358, 1024, 1368, 1419, 2322, 2703, 3307, 3378, 3741, 3819, 3852, 4136, 4168, 4399, 4505], 'validated': [338, 787], 'symmetrical': [340], 'unsymmetrical': [342, 2983], 'faults,': [343], 'different': [345, 793, 1282, 1876, 1899, 2027, 2822, 3267, 3461, 3759, 4078], 'values': [346, 2006, 2141, 2823, 2884, 2992, 3722, 3832, 4149, 4434, 4488, 4522], 'resistance,': [349, 1287, 2827, 3021, 4191], 'inception': [350, 370, 1288, 1970, 2829, 2897, 3750, 3781, 3795, 3827, 3842, 3864, 3876, 4387, 4494, 4512], 'angle,': [351, 1289, 2898, 3213, 3217, 3221, 3877], 'location.': [353, 800, 2262, 2808], 'accuracy': [355, 490, 850, 901, 962, 1065, 1074, 2242], 'acceptable': [360, 570, 3717, 3804, 4121], 'large': [362, 1514, 2149, 4507], 'resistances': [364, 4070, 4142, 4180, 4509], '(above': [365], '100': [366, 4144, 4199], 'Ω)': [367, 4385], 'angles': [371, 3751, 3865, 4513], 'near': [372, 2577, 3824, 4514], 'zero.': [373, 1827, 4515], 'Total': [374, 3353], 'mean': [375, 1892, 2075, 3338, 3354, 3447, 3500, 3683, 3699, 3714, 3720, 3744, 3772, 3786, 3801, 3830, 3887, 4064, 4091, 4104, 4118, 4147, 4201, 4393, 4480], 'error': [376, 909, 1139, 1893, 1920, 2651, 3284, 3339, 3355, 3721, 3831, 4148, 4482], 'test': [378, 2194, 2852, 2878, 2889, 3383, 3440, 3473, 3858, 4174], 'data': [379, 635, 978, 2798, 3384], '0.0458%': [381, 3361], 'which': [382, 772, 988, 1008, 1098, 1178, 1912, 2409, 2693, 3311, 3362, 3432], 'much': [384], 'improved': [385], 'respect': [387, 3367], 'other': [389, 622, 688, 1843, 2515, 2581, 3309, 4517], 'similar': [390], 'works.': [391, 1200, 3370], '1': [392, 2498, 2578, 2837], 'Introduction': [393], 'Transmission': [394], 'faults': [396, 2984], 'be': [399, 449, 1636, 1673, 1740, 1825, 1854, 2439, 2526, 2858, 3083, 3293, 3809, 4126], 'located': [400], 'quickly': [401], 'accurately': [403], 'order': [405, 563, 2520], 'repair': [407], 'faulted': [409, 482, 889, 1871, 1952, 3313], 'section,': [410], 'restore': [411], 'power': [412, 487, 663, 2001, 2040], 'delivery,': [413], 'reduce': [415], 'outage': [416], 'time': [417, 542, 743, 937, 959, 1495], 'as': [418, 420, 625, 667, 1149, 1211, 1347, 1386, 1585, 1638, 2030, 2048, 2079, 2092, 2455, 2595, 2849, 2972], 'soon': [419], 'possible.': [421], 'development': [423, 657], 'robust': [426], 'accurate': [428, 1000, 1309, 2961], 'technique': [431, 864, 1036], 'under': [432], 'various': [433, 2179], 'normal': [434], 'conditions': [437, 3272, 3333], 'intensively': [440], 'studied': [441], 'over': [442], 'years.': [444], 'algorithms': [447, 649, 2815, 3310], 'can': [448, 1635, 1672, 1739, 3807, 4124], 'classified': [450], 'into': [451, 1727, 2560, 2803, 2875], 'general': [453], 'categories:': [454], 'impedance-based': [455, 468, 529], '[1-3],': [456], 'transient-based': [457], '[4-8]': [458], 'artificial': [460, 573, 972], 'intelligence-based': [461, 574, 639, 1113, 1233], 'methods': [462, 469, 493, 534, 557, 575, 640, 1114], '[9-14].': [463], 'main': [465], 'feature': [466, 1394, 2083, 2810], 'finding': [471], 'optimum': [472], 'object': [474], 'functions': [475, 1615, 1786], 'derived': [476], 'based': [477, 535, 758, 807, 966, 1016, 1038, 1452, 1541], 'equations': [479], 'fundamental': [486], 'frequency.': [488], 'these': [492, 556, 607, 2198, 3812, 4129], 'sensitive': [495], 'impedance': [498], 'current,': [501], 'limited': [504, 906], 'assumptions': [507, 578], 'made': [508], 'source': [512, 3020, 3024], 'parameters.': [513, 915, 1080], 'Furthermore,': [514], 'useful': [516, 2209], 'information': [517, 1461, 2021], 'transients': [520, 567, 747, 940, 1483], 'due': [521, 683, 1131], 'occurrence': [524, 1277, 2736], 'not': [526, 1095, 1153, 1192, 2182], 'methods.': [530, 994], 'contrast,': [532], 'traveling': [537, 809, 968], 'waves': [538, 761, 810], 'focus': [539], 'difference': [543, 3435], 'between': [544, 589, 875, 2603], 'reflection': [547], 'high-frequency': [550, 560, 632, 745, 1744], 'transients.': [552, 646, 1518], 'implementation': [554, 1220, 1526, 2941, 3096], 'requires': [558, 727, 998], 'very': [559, 1370, 1855, 3686, 3775, 4094], 'recorders': [561], 'capture': [565, 1156], 'signal': [566, 591, 1548, 1555, 1569, 1641, 1660, 1691, 1701, 1724, 1745, 1831, 1955, 1994, 2044, 2055], 'an': [569, 999, 1013, 1180, 1232, 1525, 1728, 1957], 'accuracy.': [571, 3336, 3742, 3853, 4169], 'make': [576], 'no': [577, 3735, 3846, 4162], 'about': [579], 'conditions.': [582, 3269], 'framework': [585, 616], 'learns': [586], 'relationship': [588], 'faulty': [590, 1320, 2251, 2778], 'features': [592, 611, 1348, 2091, 2129, 2248, 2417], 'location,': [596, 3490], 'such': [597, 666, 1210, 1790, 2029, 2566, 3289], 'suitable': [599], 'property': [600, 1802], 'complex': [603, 1158, 1186], 'nonlinear': [604], 'nature': [605, 1160], 'relations.': [608], 'Moreover,': [609], 'used': [612, 2292, 2318, 2398, 2785], 'training': [614, 2160, 2212, 2266, 2697], 'time–frequency-domain': [623], 'transforms': [624], 'powerful': [626], 'tools': [627, 2210], 'revealing': [629], 'localised': [631, 1493, 1511], 'content': [633, 1456, 1492, 2022], 'series.': [636], 'Hence,': [637, 1165, 1593, 2190], 'also': [641, 997, 1190, 3808, 4125], 'utilise': [642], 'informative': [644, 1517], 'were': [650, 1323], 'primarily': [651], 'developed': [652], 'two-terminal': [654, 754], 'new': [659], 'electrical': [660], 'grids,': [661], 'multi-terminal': [662], 'systems': [665], 'teed-feeders': [668], '(three-terminal': [669], 'lines)': [670], 'become': [672], 'economically': [673], 'environmentally': [675], 'attractive.': [676], 'However,': [677, 838], 'their': [678], 'protection': [679], 'special': [681, 1173, 4379], 'remote-end': [685], 'in-feeds': [686], 'connecting': [689], 'lines': [690, 814, 870, 1085, 1122, 2950, 3042], 'incident': [693], '[15-17].': [695], '[18],': [697], 'conjunction': [703], 'recurrent': [705], '(RNN)': [708], 'applied': [710, 738, 824, 1115, 1509, 2183], 'disadvantage': [720], 'that': [725, 1365, 1804, 1887, 2441, 2569, 3324, 3814, 4131, 4463], 'it': [726, 2224, 2489], 'high': [728, 846, 985, 1621], 'sampling': [729, 982], 'frequency': [730, 983, 1491, 1656, 1692], '(1': [731, 986], 'MHz)': [732, 987], 'since': [733], 'calculate': [740, 2260], 'arrival': [742, 828, 936, 945], 'each': [749, 882, 1632, 1748, 2012, 2087, 2497, 2512, 2834, 3146, 3345, 3443, 4454], 'terminal.': [750], '[19],': [752], 'scheme': [757, 785, 1236, 2297], 'travelling': [760], 'extended': [763], 'case': [766, 2088], 'utilises': [773], 'transient': [777], 'extraction.': [778], 'through': [788, 1325, 1642, 1675, 2233, 3179], 'investigating': [789], 'effect': [791, 3737, 3848, 4164], 'parameters': [795, 1284], '[20],': [802], 'suggested,': [816], 'where': [817, 1480, 1591, 2064, 2094, 2474, 2620, 2659], 'time–time': [819], '(TT': [821], 'transform)': [822], 'extract': [826], 'times': [829, 946], 'first': [832], 'peak': [833], 'wave': [834, 969, 1003], 'all': [836, 1050, 1060, 1813, 2475, 3276, 3330, 3425, 3455, 3480, 3704, 3724, 3753, 3792, 3834, 3867, 4072, 4110, 4151, 4182, 4406, 4528], 'terminals.': [837, 943, 1063], 'computational': [840, 2156], 'burden': [841, 2157], 'TT-transform': [844], 'depends': [851], 'length': [854, 2058, 2674], 'input': [857, 2364, 2406], 'vector.': [858], '[21],': [860], 'negative-sequence': [866, 877], 'voltage': [867, 878, 1043, 1055, 3230, 3237], 'proposed.': [872], 'ratios': [874], 'magnitudes': [879], 'measured': [880], 'terminal': [883, 954, 1978, 2122], 'determine': [887, 1354], 'estimate': [893, 1001], 'within': [897, 2230], 'section.': [899, 3090], 'estimation': [912, 1040, 1077, 2650, 2758], '[22],': [917], 'implemented': [930, 2741, 2818, 3066], 'RNN': [932], 'recorded': [953], 'voltages.': [957], 'Using': [958, 2128], 'features,': [960], '(TW)': [970], 'dependent': [976, 1071], 'recording': [979], 'synchronisation.': [980], 'characteristic': [991], 'TW-based': [993], 'speed': [1004], 'optimisation': [1014, 1163], 'procedure': [1015], 'genetic': [1018], 'algorithm.': [1019, 2790], '[23],': [1021], 'phasor-based': [1023], 'proposed': [1026, 1068, 1177, 1367, 1412, 3252, 3303, 3816, 4133, 4502, 4604], 'superimposed': [1042], 'tap': [1045], 'point': [1046], 'reference': [1048, 3216], 'utilising': [1053], 'synchronised': [1054, 3178], 'current': [1057, 1321, 1761, 1954, 1993, 2117, 2252, 2779, 3185], 'signals': [1058, 1322, 1458, 1515, 1671, 1762, 2253, 2780], 'compensated': [1086, 1240, 1379, 2715, 2726, 3485, 3872, 4187], 'flexible': [1089], 'AC': [1090], 'system': [1092, 1280, 1427, 1467, 2728, 2739, 3258], '(FACTS)': [1093], 'investigated,': [1097], 'challenging': [1102], 'task': [1103], 'than': [1104], 'uncompensated': [1109], 'aforementioned': [1112], 'conventional': [1125, 1144], 'networks.': [1127], 'introduction': [1133], 'FACTS': [1135, 2505], 'compensation,': [1137], 'was': [1147, 1152], 'high,': [1148], 'able': [1154], 'non-linear': [1159, 1187, 2331, 2340], 'problem.': [1164], 'output': [1174, 2343, 2369, 2524, 2544, 2607, 2637, 2646], 'encoding': [1175], 'efficient': [1181], 'mathematical': [1182], 'tool': [1183, 1500], 'learning': [1185, 1225, 1407, 2235, 2324, 2379], 'relationships': [1188], 'previous': [1199, 3262, 3369], 'numerous': [1202], 'applications': [1203, 2180], "DNN's": [1205, 2175, 2213], 'raised': [1207], 'effective': [1208, 1371], 'software': [1209], 'Microsoft': [1213, 2216, 2326], 'Cognitive': [1214, 2217, 2327], 'Network': [1215, 2218, 2328], 'Toolkit': [1216, 2219, 2329], '(CNTK)': [1217, 2330], 'DNN': [1219, 1352, 2173, 2258, 2291, 2305, 2317, 2397, 2805, 3429], '[24].': [1221, 2246], 'Therefore,': [1222], 'capability': [1226], 'CNTK': [1228, 2222, 2862], 'paper,': [1245], '400': [1247, 3009, 3032], 'kV,': [1248], 'composed': [1252, 3152], '120': [1254, 3061], 'km': [1255, 2499, 2838, 3060, 3491, 4449], 'long': [1256], 'sections,': [1258], 'Thyristor': [1261], 'Controlled': [1262], 'Series': [1263], 'Capacitor': [1264], '(TCSC)': [1265], 'device': [1267], 'one': [1269, 1943, 1947, 2482], 'sections': [1273, 3279, 3457, 3755, 4074, 4408], 'considered.': [1275], 'including': [1285], 'type,': [1290, 2826], 'simulated': [1296, 3265], 'SIMULINK.': [1298], 'distributed-parameter': [1300], 'Bergeron': [1301], 'considered': [1305, 1346, 2433, 2493, 2541, 2679, 2885, 2971, 3081, 3274, 3331], 'approximation': [1310, 1698, 1729], 'dynamic': [1313], 'behaviour': [1314], 'real-world': [1317], 'system.': [1318, 1486], 'processed': [1324], 'db2': [1326, 1776, 1888, 1897], 'mother': [1327, 1777, 1865, 1877], 'obtain': [1331], 'coefficients.': [1333], 'Standard': [1334], 'deviation,': [1335, 1997, 2101, 2135], 'norm': [1336, 1998, 2037, 2097, 2136], 'entropy,': [1337, 2098, 2137], 'minimum': [1338, 2003, 2138], 'maximum': [1340, 1795, 2005, 2140, 2571], 'detail': [1343, 1596, 1700, 1733, 2008, 2105, 2144], 'coefficients': [1344, 1574, 1815, 1848, 2009, 2145], 'Simulation': [1362], 'results': [1363, 1445, 1885, 3322, 3374, 3474, 3813, 3859, 4130, 4175], 'show': [1364, 1886, 3323], 'estimating': [1373], 'This': [1382, 1736], 'paper': [1383], 'organised': [1385], 'follows:': [1387], 'Brief': [1388], 'reviews': [1389], 'DWT,': [1392, 1588], 'extraction': [1395, 1451, 1488, 1758, 2811], 'process': [1396, 1738, 2709], 'Section': [1400, 1423, 1432], '2.': [1401, 1679, 1984, 2881], 'Sections': [1403, 1434], '3,': [1404, 1904, 2063], 'concept': [1408], 'introduced.': [1410], 'described': [1421], '4.The': [1424], 'specifications': [1428, 2288, 2925, 2952, 3072], '5.': [1433, 2939, 3076, 3108], '7': [1437, 1907], 'dedicated': [1439], 'discussion': [1442, 3248], 'simulation': [1444, 2733, 2962, 3321], 'conclusion,': [1447], 'respectively.': [1448, 1624, 2959], '2': [1449, 4194], 'Feature': [1450, 1757, 2791], 'Frequency': [1455], 'gives': [1459], 'valuable': [1460], 'characteristics': [1464], 'generating': [1468], 'those': [1469], 'signals.': [1470], 'limitation': [1472], 'frequency-domain': [1474], 'analysis': [1475, 1499, 1630], 'revealed': [1477], 'cases': [1479, 3441, 3726, 3836, 4153], 'there': [1481], 'For': [1487, 1546, 1587, 2960, 3420, 4377, 4516], 'domain,': [1496, 2989], 'time–frequency': [1498, 1770], 'called': [1501, 1611], 'introduced': [1506, 3259], 'widely': [1508], 'study': [1512, 2981], '2.1': [1519], 'Discrete': [1520], 'set': [1534], 'scales': [1538], 'translations': [1540], 'some': [1543, 3450, 3476, 3747, 3861, 4067, 4177], 'predefined': [1544], 'rules.': [1545], ',': [1549, 1590], 'compares': [1553], 'shifted': [1557], 'scaled': [1559], 'copies': [1560], 'basic': [1563], 'function': [1565, 2332, 2341, 2373, 2539, 2550, 2592, 2678], '.': [1566, 1592, 1604], 'If': [1567], 'real-valued,': [1571], 'scale': [1577], 'parameter': [1578, 1581, 2883, 2949, 3041], 'shift': [1580], 'b': [1582], 'calculated': [1584, 2061, 2653, 2794, 3211], '(1)': [1586], 'coefficient': [1597, 2106], 'vector': [1598, 2084, 2555, 2558, 2608], 'decomposition': [1600, 1633, 1686, 1706, 1749, 1754, 1902, 1915, 1941, 1991, 2110], 'level': [1601, 1634, 1750, 2013], 'j': [1602], 'employs': [1606], 'two': [1607, 2516], 'sets': [1608], 'functions,': [1610], 'scaling': [1612], 'associated': [1616], 'low': [1618, 3687, 3776, 4095], 'pass': [1619, 1622], 'filters,': [1623], 'According': [1625, 3676, 3767, 4086], 'Fig.': [1627, 1983, 2310, 2722, 2938, 3144], '1,': [1628, 2302], 'interpreted': [1637], 'passing': [1639], 'pair': [1644], 'high-pass': [1646, 1715], 'low-pass': [1648, 1713], 'filters.': [1649], 'process,': [1652, 2267], 'half': [1653, 1664], 'band': [1657], 'omitted;': [1662], 'hence,': [1663], 'samples': [1667, 3385], 'filtered': [1670], 'discarded': [1674], 'down-sampling': [1676, 1719], 'rate': [1678, 1721, 2380, 2388], 'Fig': [1680, 1985, 2390, 2744, 2759, 3202, 4531, 4550, 4569], '1Open': [1681], 'figure': [1683, 1988, 2393, 2747, 2762, 3205, 4534, 4553, 4572], 'viewerPowerPoint': [1684, 1989, 2394, 2748, 2763, 3206, 4535, 4554, 4573], 'Wavelet': [1685, 1990], 'tree.': [1687, 1755], '(fn': [1688], 'band,': [1693], "aj's": [1694], "dj's": [1696], 'components': [1702], 'jth': [1705], 'level,': [1707, 2111], 'g[n]': [1708], 'h[n]': [1710], 'filters': [1716], 'followed': [1717], '2)': [1722], 'decomposed': [1726, 1768], '(aj)': [1730], '(dj)': [1734], 'component.': [1735], 'filtering': [1737], 'repeated': [1741], 'acquired': [1746], 'constructing': [1751], '2.2': [1756], 'Faulty': [1759], 'three-phase': [1760, 2945, 2965, 3003], 'domain': [1771], 'Daubechies': [1775, 1784], 'five': [1780, 1967, 2350, 3460, 3758, 4077], 'levels': [1781, 1900], 'decomposition.': [1783], 'designed': [1788], 'way': [1792, 2568, 3291], 'vanishing': [1796, 1810], 'moments.': [1797], 'importance': [1799], 'if': [1805, 1829], 'm': [1809, 1821], 'moments,': [1811], 'then': [1812, 1845, 2871], 'any': [1817], 'polynomial': [1818], 'degree': [1820, 1968, 2899, 3015, 3878], 'or': [1822, 1842, 1857], 'less': [1823], 'will': [1824, 1853], 'exactly': [1826], 'Thus,': [1828], 'quite': [1833], 'smooth': [1834, 1851], 'only': [1836], 'interrupted': [1837], 'occasional': [1840], 'discontinuity': [1841], 'singularity,': [1844], "'on": [1849], "parts'": [1852], 'small': [1856], 'even': [1858], 'zero': [1859, 2479, 3702, 3789, 3825, 4107], '[25].': [1860], 'To': [1861, 2263, 3249], 'find': [1862], 'best': [1864], 'algorithms,': [1874], 'ten': [1875], 'wavelets': [1878], '(db1': [1879], 'db10)': [1881], 'investigated.': [1883], 'least': [1891], 'percentage.': [1894], 'Also,': [1895], 'wavelet,': [1898], '(1,': [1903], '5': [1905, 2923, 3128, 3879], 'levels)': [1908], 'examined,': [1910], 'among': [1911], 'five-level': [1914, 1939], 'outperformed': [1916], 'others': [1918], '(mean': [1919], 'percentage': [1921], '0.0458': [1923, 3419], 'versus': [1924, 4537, 4556, 4575], '0.7955,': [1925], '0.1004': [1926], '0.1567': [1928], 'one-level,': [1931], 'three-level': [1932], 'seven-level': [1934], 'decompositions,': [1935], 'respectively).': [1936], 'db2-based': [1938], 'cycle': [1944, 1948], 'pre-fault': [1945, 2774], 'post-fault': [1949, 2777], 'phase': [1953, 2114, 3010, 3013, 3147, 3171, 3223, 3233], 'LG': [1958, 3391, 3503, 3798, 3890, 4115, 4204, 4412], '(a–g)': [1960], '140': [1962, 4200], 'Ω': [1963, 2895, 3022, 3135, 4192], 'resistance': [1965, 3043, 4159, 4381, 4492], 'angle': [1971, 2830, 3011, 3224, 3843, 4388, 4495], '100-km': [1974], "'S'": [1979, 2045, 2056, 2071], 'demonstrated': [1981, 2936], '2Open': [1986], 'standard': [1996, 2051, 2100, 2134], 'entropy': [1999, 2038], '1.1,': [2002], '(cD)': [2010], 'calculated.': [2015], 'Entropy': [2016], 'measure': [2019], 'signal,': [2025, 2118], 'having': [2026], 'types': [2028, 3463, 3482, 3761, 3869, 4080, 4184, 4414], 'Shannon,': [2031], 'norm,': [2032], 'log': [2033], 'energy,': [2034], 'threshold.': [2035], 'p': [2041], 'represented': [2047], '(2)': [2049], 'deviation': [2052], 'N': [2059, 2640], 'Si': [2065], 'ith': [2068, 2624, 2633], 'sample': [2069, 2076], 'S': [2078], '(3)': [2080], '(4)': [2081], 'F': [2085], 'includes': [2089, 2944], '180': [2090, 2366, 2408], '(5)': [2093], 'E': [2095], 'cD': [2102], 'vector,': [2107, 2628, 2638], 'name': [2123], 'obtained': [2130], 'terms': [2132], 'instead': [2146, 2459], 'number': [2150, 2346, 2414, 2423, 2429, 2643, 2842, 3438], "cD's": [2152], 'reduces': [2153], 'complexity': [2154], 'testing': [2162], 'processes': [2163], 'locator': [2167], 'network.': [2168, 2286, 2611], '3': [2169, 2956], 'Recently,': [2174], 'but': [2181], 'we': [2191], 'aimed': [2192], 'ability': [2196, 3300], 'One': [2206], '(CNTK).': [2220], 'makes': [2223], 'possible': [2225], 'harness': [2227], 'intelligence': [2229], 'massive': [2231], 'datasets': [2232, 2853, 2892], 'providing': [2237], 'uncompromised': [2238], 'scaling,': [2239], 'speed,': [2240], 'commercial-grade': [2244], 'quality': [2245, 3122], 'speed-up': [2264], 'graphical': [2269], 'processing': [2270], 'unit': [2271, 2338, 2688, 3045, 3050, 3055], 'utilised.': [2273], 'simultaneously': [2283], 'Table': [2301, 2312, 2880, 2999, 3036, 3075, 3107, 3351, 3371, 3467, 3469, 3678, 3765, 3769, 3854, 4084, 4088, 4170], 'structure': [2306], 'illustrated': [2308, 3142, 4416], '3.': [2311, 3000], '1.': [2313], 'Characteristics': [2314], 'Deep': [2323], 'toolkit': [2325, 2863], 'hidden': [2334, 2348, 2359, 2682], 'layers': [2335, 2349, 2351, 2360, 2683], 'rectified': [2336, 2686], 'linear': [2337, 2687], '(Relu)': [2339, 2689], 'layer': [2344, 2365, 2370], 'Softmax': [2345], 'batch': [2353], 'normalisation': [2354], 'dropout': [2356, 2387], 'size': [2357, 2362, 2367], '1024': [2361], '308': [2371, 2472], 'loss': [2372, 2591], 'C.E.': [2374, 2615], 'optimiser': [2375], 'adaptive': [2376], 'gradient': [2377], '(AdaGrad)': [2378], '0.009': [2381], 'momentum': [2382], '0.9': [2383], 'max': [2384], 'epoch': [2385], '500': [2386, 3124], '0.01': [2389, 3136], '3Open': [2391], 'Structure': [2395], 'dimension': [2403], 'equal': [2411], '5,': [2420, 2902, 2914], 'outputs': [2426], 'equals': [2427], 'locations': [2432, 2496, 2510], 'training.': [2436], 'It': [2437, 3806, 4123, 4461], 'should': [2438], 'noted': [2440], 'improve': [2443], 'performance': [2445, 4499], 'training,': [2448], 'problem': [2452, 2458, 2470], 'defined': [2454, 2552, 2690], 'classification': [2457, 2469, 2534], 'regression': [2462], 'one.': [2463], 'target': [2466, 2531, 2605, 2627], 'contains': [2471], 'elements,': [2473], 'them': [2477], 'except': [2480], 'corresponding': [2483], 'specific': [2486], 'location/section': [2488], 'represents.': 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3647, 3914, 3951, 3952, 3953, 3960, 3964, 3965, 3969, 3970, 3971, 3972, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3998, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4010, 4012, 4013, 4014, 4015, 4016, 4018, 4019, 4020, 4021, 4022, 4023, 4024, 4025, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4279, 4280, 4284, 4294, 4295, 4296, 4297, 4298, 4299, 4301, 4303, 4304, 4305, 4306, 4307, 4308, 4309, 4310, 4312, 4313, 4314, 4315, 4316, 4317, 4318, 4319, 4323, 4324, 4325, 4326, 4327, 4328, 4330, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348], 'frequency,': [3017], 'Hz': [3018], '50': [3019, 3132, 3883], '0.8929': [3023], 'inductance,': [3025, 3115], 'mH': [3026, 3116], '16.58': [3027], 'base': [3028], 'kVrms,': [3030], 'ph–ph': [3031], 'internal': [3033], 'connection': [3034], 'Yg': [3035], 'per': [3044, 3049, 3054], 'length,': [3046, 3051, 3056, 3059], 'Ω/km': [3047], 'inductance': [3048], 'mH/km': [3052], 'capacitance': [3053], 'nF/km': [3057], 'block': [3070, 3079, 3100], 'middle': [3086], 'detailed': [3092], 'adopted': [3104, 3287, 4489], 'form': [3105], '[27].': [3106], 'TCR': [3114, 3118], '43': [3117], 'capacitance,': [3119], 'µF': [3120], '21.977': [3121], 'factor': [3123], 'thyristor': [3125, 3129, 3133, 3137, 3175, 3241], 'snubber-resistance,': [3126], 'kΩ': [3127], 'snubber-capacitance,': [3130], 'nF': [3131], 'Ron,': [3134], 'Vf,': [3138], 'V': [3139], 'As': [3141], 'fixed': [3155], 'capacitor': [3156], 'parallel': [3158], 'thyristor-controlled': [3161], 'reactor': [3162], '(TCR).': [3163], 'controlled': [3167, 3242], 'varying': [3169], 'delay': [3172], 'firing': [3176, 3212, 3220], 'pulses': [3177], 'PLL': [3181, 3215], 'waveform.': [3186], 'controller': [3188], 'PI': [3192, 3238], 'type': [3193, 3347, 3380], 'feedback': [3196], 'filter': [3197], 'compensator.': [3201], '6Open': [3203], '(ϕ:': [3210], 'θ:': [3214], 'α:': [3218], 'τ:': [3222], 'il,': [3226], 'VC:': 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