Eletronica de potencia

Prévia do material em texto

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Curso: Engenharia Elétrica – Noturno
Turmas: EN9P01 - Eletrotécnica e EE9P01 - Eletrônica
Prof. Álvaro Martins
Disciplina:1485 – Eletrônica Industrial I 
1. Retificadores Trifásicos de ½ Onda ou 1 Caminho
2. Retificadores Trifásicos de Onda Completa, ou de 2 caminhos, ou 6 pulsos
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A1. Tensões de Fase de Sistema de Alimentação Trifásico
V10 (Ө) = VM. Sen (Ө) 
V20 (Ө) = VM. Sen (Ө-2π/3) 
V30 (Ө) = VM. Sen (Ө-4π/3) 
Gráf1
		0		0.8660254216		-0.8660254216
		0.0998334166		0.8117821965		-0.911615607
		0.1986693308		0.7494279121		-0.9480972306
		0.2955202067		0.6795855916		-0.97510578
		0.3894183423		0.6029530766		-0.9923713948
		0.4794255386		0.5202960537		-0.9997215627
		0.5646424734		0.4324404047		-0.9970828431
		0.6442176872		0.3402639541		-0.9844816014
		0.7173560909		0.2446876985		-0.962043745
		0.7833269096		0.1466666043		-0.9299934654
		0.8414709848		0.0471800659		-0.8886509986
		0.8912073601		-0.0527778801		-0.8384294248
		0.932039086		-0.152208487		-0.7798305413
		0.9635581854		-0.250118277		-0.7134398487
		0.98544973		-0.3455289679		-0.6399207011
		0.9974949866		-0.4374872475		-0.5600076773
		0.999573603		-0.5250742992		-0.474499242
		0.9916648105		-0.607414982		-0.384249767
		0.9738476309		-0.6836865752		-0.2901609955
		0.9463000877		-0.753126998		-0.1931730311
		0.9092974268		-0.8150424249		-0.0942549457
		0.8632093666		-0.8688142172		0.005604904
		0.8084964038		-0.9139051051		0.1054087513
		0.7457052122		-0.9498645553		0.2041593892
		0.6754631806		-0.9763332728		0.300870134
		0.5984721441		-0.993046791		0.3945746839
		0.5155013718		-0.9998381139		0.484336774
		0.4273798802		-0.9966393849		0.5692595311
		0.3349881502		-0.9834825646		0.6484944352
		0.2392493292		-0.9604991116		0.7212497972
		0.1411200081		-0.927918669		0.7867986696
		0.0415806624		-0.8860667697		0.8444861099
		-0.0583741434		-0.8353615842		0.893735724
		-0.1577456941		-0.7763097419		0.9340554263
		-0.255541102		-0.7095012693		0.9650423555
		-0.3507832277		-0.6356036945		0.9863869005
		-0.4425204433		-0.5553553777		0.9978757936
		-0.5298361409		-0.4695581335		0.9993942416
		-0.6118578909		-0.3790692197		0.9909270728
		-0.6877661592		-0.2847927715		0.9725588881
		-0.7568024953		-0.1876707681		0.9444732166
		-0.8182771111		-0.0886736205		0.9069506809
		-0.8715757724		0.0112095247		0.8603661938
		-0.9161659367		0.110980668		0.805185212
		-0.9516020739		0.2096429292		0.7419590858
		-0.9775301177		0.3062105075		0.6713195497
		-0.9936910036		0.3997185316		0.5939724105
		-0.9999232576		0.4892327003		0.5106904953
		-0.9961646088		0.5738586176		0.4223059296
		-0.9824526126		0.6527507293		0.3297018225
		-0.9589242747		0.7251207714		0.2338034439
		-0.9258146823		0.7902456465		0.1355689785
		-0.8834546557		0.8474746483		0.0359799527
		-0.8322674422		0.8962359636		-0.0639685729
		-0.7727644876		0.9360423854		-0.1632779456
		-0.7055403256		0.966496181		-0.2609558991
		-0.6312666379		0.9872930664		-0.3560264675
		-0.5506855426		0.9982252457		-0.4475397372
		-0.4646021794		0.9991834884		-0.5345813377
		-0.3738766648		0.9901582199		-0.6162815782
		-0.2794154982		0.9712396178		-0.6918241369
		-0.1821625043		0.9426167105		-0.7604542175
		-0.0830894028		0.9045754886		-0.8214860909
		0.0168139005		0.8574960474		-0.8743099469
		0.1165492049		0.8018487892		-0.9183979869
		0.2151199881		0.738189723		-0.9533096977
		0.3115413635		0.667154909		-0.9786962532
		0.4048499206		0.5894541037		-0.9943039993
		0.4941133511		0.5058636679		-0.9999769884
		0.5784397644		0.4172188095		-0.9956585381
		0.6569865987		0.3244052387		-0.9813917967
		0.7289690401		0.2283503179		-0.957319313
		0.7936678638		0.1300137963		-0.923681611
		0.8504366206		0.0303782198		-0.8808147878
		0.8987080958		-0.0695608858		-0.8291471544
		0.9379999768		-0.1688049621		-0.7691949567
		0.967919672		-0.266362395		-0.7015572172
		0.9881682339		-0.3612584228		-0.6269097499
		0.9985433454		-0.4525448759		-0.5459984076
		0.9989413418		-0.5393096503		-0.4596316298
		0.9893582466		-0.6206858208		-0.3686723646
		0.9698898108		-0.6958603038		-0.274029447
		0.9407305567		-0.7640819807		-0.1766485177
		0.9021718338		-0.824669203		-0.0775025749
		0.8545989081		-0.8770166032		0.022417748
		0.7984871126		-0.9206011435		0.1221140803
		0.7343970979		-0.9549873414		0.2205902889
		0.6629692301		-0.9798316214		0.3168624324
		0.5849171929		-0.9948857478		0.4099685911
		0.5010208565		-0.9999993047		0.4989784793
		0.4121184852		-0.9951211991		0.5830027394
		0.3190983623		-0.9803001714		0.6612018288
		0.2228899141		-0.9556843084		0.7327944081
		0.1244544235		-0.9215195637		0.7970651479
		0.0247754255		-0.8781473002		0.8533718763
		-0.0751511205		-0.8260008791		0.9011519949
		-0.1743267812		-0.7656013303		0.9399281007
		-0.2717606264		-0.697552146		0.9693127556
		-0.3664791293		-0.6225332513		0.9890123579
		-0.4575358938		-0.5412942101		0.9988300756
		-0.5440211109		-0.4546467361		0.9986678134
		-0.6250706489		-0.3634565822		0.9885271925
		-0.6998746876		-0.2686348903		0.9685095346
		-0.7676858098		-0.1711290874		0.9388148496
		-0.8278264691		-0.0719134191		0.899739837
		-0.87969576		0.0280207842		0.8516749213
		-0.9227754216		0.1276750131		0.7951003514
		-0.9566350163		0.2260535555		0.7305814016
		-0.9809362301		0.3221734455		0.6587627239
		-0.9954362533		0.4150742849		0.5803619068
		-0.9999902066		0.5038278393		0.4961623054
		-0.9945525882		0.5875473124		0.4070052142
		-0.9791777292		0.6653962071		0.3137814615
		-0.9540192499		0.7365966827		0.2174225081
		-0.9193285257		0.8004373278		0.1188911409
		-0.8754521747		0.8562802677		0.0191718528
		-0.822828595		0.9035675383		-0.0807389942
		-0.7619835839		0.9418266606		-0.1798431239
		-0.6935250848		0.9706753623		-0.2771503205
		-0.6181371122		0.9898253967		-0.3716883227
		-0.536572918		0.9990854228		-0.462512538
		-0.4496474645		0.9983629177		-0.548715481
		-0.3582292822		0.9876651003		-0.6294358402
		-0.2632317914		0.9670988597		-0.7038670846
		-0.1656041754		0.936869687		-0.7712655218
		-0.0663218974		0.8972796221		-0.8309577288
		0.0336230472		0.8487242357		-0.8823472809
		0.1332320414		0.7916886774		-0.9249207106
		0.2315098251		0.7267428275		-0.9582526383
		0.3274744391		0.6545356035		-0.9820100224
		0.4201670368		0.5757884761		-0.9959554869
		0.5086614644		0.4912882606		-0.9999496935
		0.5920735147		0.4018792552		-0.9939527332
		0.6695697622		0.3084548051		-0.9780245259
		0.74037589		0.2119483765		-0.9523242207
		0.8037844266		0.1133242299		-0.9171086067
		0.8591618149		0.013567785		-0.8727295467
		0.9059547423		-0.0863242248		-0.8196304615
		0.9436956694		-0.1853537114		-0.7583418997
		0.9720075014		-0.282531205		-0.6894762363
		0.9906073557		-0.3768857401		-0.6137215543
		0.9993093887		-0.4674745576		-0.5318347693
		0.9980266527		-0.5533925238		-0.4446340672
		0.9867719643		-0.6337811748		-0.3529907284
		0.9656577765		-0.7078372939		-0.2578204229
		0.9348950555		-0.7748209366		-0.160074061
		0.8947911721		-0.8340628247		-0.060728292
		0.8457468311		-0.8849710328		0.039224254
		0.7882520674		-0.9270369028		0.1387848842
		0.7228813495		-0.9598401265		0.2369588218
		0.6502878402		-0.983052945		0.3327651451
		0.5711968697		-0.9964434234		0.4252465891
		0.4863986889		-0.9998777685		0.5134791097
		0.3967405731		-0.9933216654		0.5965811169
		0.3031183567		-0.9768406207		0.6737222827
		0.2064674819		-0.9505993073		0.7441318381
		0.1077536523		-0.9148599199		0.8071062742
		0.0079631838		-0.8699795545		0.8620163712
		-0.0919068502		-0.8164066411		0.9083134856
		-0.1908585814		-0.7546764623		0.9455350319
		-0.2879033167		-0.6854058058		0.9733091047-0.3820714172		-0.6092868011		0.9913581946
		-0.4724219864		-0.527080004		0.9995019612
		-0.5580522713		-0.4396067978		0.9976590345
		-0.6381066823		-0.3477411857		0.9858478286
		-0.7117853424		-0.2524010587		0.964186357
		-0.7783520785		-0.1545390238		0.9328910541
		-0.837141778		-0.055132886		0.8922746122
		-0.8875670336		0.0448241214		0.8427428572
		-0.9291240127		0.144333261		0.7847906942
		-0.9613974919		0.2424002703		0.7189971621
		-0.9840650051		0.3380452963		0.6460196479
		-0.996900066		0.4303126854		0.5665873189
		-0.9997744311		0.5182805324		0.4814938368
		-0.9926593805		0.6010698916		0.3915894274
		-0.9756260055		0.6778535592		0.2977723859
		-0.9488444979		0.7478643381		0.2009801011
		-0.9125824498		0.8104027037		0.1021796896
		-0.8672021795		0.8648437934		0.0023583324
		-0.8131571117		0.9106436498		-0.0974865884
		-0.7509872468		0.9473446558		-0.1963574555
Plan1
		0		0.0000		0.8660		-0.8660		0.0000		-0.8660		1.7321		-0.8660		0.0000		0.8660		-1.7321		0.8660
		0.1		0.0998		0.8118		-0.9116		0.0000		-0.7119		1.7234		-1.0114		0.0000		0.7119		-1.7234		1.0114
		0.2		0.1987		0.7494		-0.9481		0.0000		-0.5508		1.6975		-1.1468		0.0000		0.5508		-1.6975		1.1468
		0.3		0.2955		0.6796		-0.9751		0.0000		-0.3841		1.6547		-1.2706		0.0000		0.3841		-1.6547		1.2706
		0.4		0.3894		0.6030		-0.9924		0.0000		-0.2135		1.5953		-1.3818		0.0000		0.2135		-1.5953		1.3818
		0.5		0.4794		0.5203		-0.9997		0.0000		-0.0409		1.5200		-1.4791		0.0000		0.0409		-1.5200		1.4791
		0.6		0.5646		0.4324		-0.9971		0.0000		0.1322		1.4295		-1.5617		0.0000		-0.1322		-1.4295		1.5617
		0.7		0.6442		0.3403		-0.9845		0.0000		0.3040		1.3247		-1.6287		0.0000		-0.3040		-1.3247		1.6287
		0.8		0.7174		0.2447		-0.9620		0.0000		0.4727		1.2067		-1.6794		0.0000		-0.4727		-1.2067		1.6794
		0.9		0.7833		0.1467		-0.9300		0.0000		0.6367		1.0767		-1.7133		0.0000		-0.6367		-1.0767		1.7133
		1		0.8415		0.0472		-0.8887		0.0000		0.7943		0.9358		-1.7301		0.0000		-0.7943		-0.9358		1.7301
		1.1		0.8912		-0.0528		-0.8384		0.0000		0.9440		0.7857		-1.7296		0.0000		-0.9440		-0.7857		1.7296
		1.2		0.9320		-0.1522		-0.7798		0.0000		1.0842		0.6276		-1.7119		0.0000		-1.0842		-0.6276		1.7119
		1.3		0.9636		-0.2501		-0.7134		0.0000		1.2137		0.4633		-1.6770		0.0000		-1.2137		-0.4633		1.6770
		1.4		0.9854		-0.3455		-0.6399		0.0000		1.3310		0.2944		-1.6254		0.0000		-1.3310		-0.2944		1.6254
		1.5		0.9975		-0.4375		-0.5600		0.0000		1.4350		0.1225		-1.5575		0.0000		-1.4350		-0.1225		1.5575
		1.6		0.9996		-0.5251		-0.4745		0.0000		1.5246		-0.0506		-1.4741		0.0000		-1.5246		0.0506		1.4741
		1.7		0.9917		-0.6074		-0.3842		0.0000		1.5991		-0.2232		-1.3759		0.0000		-1.5991		0.2232		1.3759
		1.8		0.9738		-0.6837		-0.2902		0.0000		1.6575		-0.3935		-1.2640		0.0000		-1.6575		0.3935		1.2640
		1.9		0.9463		-0.7531		-0.1932		0.0000		1.6994		-0.5600		-1.1395		0.0000		-1.6994		0.5600		1.1395
		2		0.9093		-0.8150		-0.0943		0.0000		1.7243		-0.7208		-1.0036		0.0000		-1.7243		0.7208		1.0036
		2.1		0.8632		-0.8688		0.0056		0.0000		1.7320		-0.8744		-0.8576		0.0000		-1.7320		0.8744		0.8576
		2.2		0.8085		-0.9139		0.1054		0.0000		1.7224		-1.0193		-0.7031		0.0000		-1.7224		1.0193		0.7031
		2.3		0.7457		-0.9499		0.2042		0.0000		1.6956		-1.1540		-0.5415		0.0000		-1.6956		1.1540		0.5415
		2.4		0.6755		-0.9763		0.3009		0.0000		1.6518		-1.2772		-0.3746		0.0000		-1.6518		1.2772		0.3746
		2.5		0.5985		-0.9930		0.3946		0.0000		1.5915		-1.3876		-0.2039		0.0000		-1.5915		1.3876		0.2039
		2.6		0.5155		-0.9998		0.4843		0.0000		1.5153		-1.4842		-0.0312		0.0000		-1.5153		1.4842		0.0312
		2.7		0.4274		-0.9966		0.5693		0.0000		1.4240		-1.5659		0.1419		0.0000		-1.4240		1.5659		-0.1419
		2.8		0.3350		-0.9835		0.6485		0.0000		1.3185		-1.6320		0.3135		0.0000		-1.3185		1.6320		-0.3135
		2.9		0.2392		-0.9605		0.7212		0.0000		1.1997		-1.6817		0.4820		0.0000		-1.1997		1.6817		-0.4820
		3		0.1411		-0.9279		0.7868		0.0000		1.0690		-1.7147		0.6457		0.0000		-1.0690		1.7147		-0.6457
		3.1		0.0416		-0.8861		0.8445		0.0000		0.9276		-1.7306		0.8029		0.0000		-0.9276		1.7306		-0.8029
		3.2		-0.0584		-0.8354		0.8937		-0.0000		0.7770		-1.7291		0.9521		0.0000		-0.7770		1.7291		-0.9521
		3.3		-0.1577		-0.7763		0.9341		-0.0000		0.6186		-1.7104		1.0918		0.0000		-0.6186		1.7104		-1.0918
		3.4		-0.2555		-0.7095		0.9650		-0.0000		0.4540		-1.6745		1.2206		0.0000		-0.4540		1.6745		-1.2206
		3.5		-0.3508		-0.6356		0.9864		-0.0000		0.2848		-1.6220		1.3372		0.0000		-0.2848		1.6220		-1.3372
		3.6		-0.4425		-0.5554		0.9979		-0.0000		0.1128		-1.5532		1.4404		0.0000		-0.1128		1.5532		-1.4404
		3.7		-0.5298		-0.4696		0.9994		-0.0000		-0.0603		-1.4690		1.5292		0.0000		0.0603		1.4690		-1.5292
		3.8		-0.6119		-0.3791		0.9909		-0.0000		-0.2328		-1.3700		1.6028		0.0000		0.2328		1.3700		-1.6028
		3.9		-0.6878		-0.2848		0.9726		-0.0000		-0.4030		-1.2574		1.6603		0.0000		0.4030		1.2574		-1.6603
		4		-0.7568		-0.1877		0.9445		-0.0000		-0.5691		-1.1321		1.7013		0.0000		0.5691		1.1321		-1.7013
		4.1		-0.8183		-0.0887		0.9070		-0.0000		-0.7296		-0.9956		1.7252		0.0000		0.7296		0.9956		-1.7252
		4.2		-0.8716		0.0112		0.8604		-0.0000		-0.8828		-0.8492		1.7319		0.0000		0.8828		0.8492		-1.7319
		4.3		-0.9162		0.1110		0.8052		-0.0000		-1.0271		-0.6942		1.7214		0.0000		1.0271		0.6942		-1.7214
		4.4		-0.9516		0.2096		0.7420		-0.0000		-1.1612		-0.5323		1.6936		0.0000		1.1612		0.5323		-1.6936
		4.5		-0.9775		0.3062		0.6713		-0.0000		-1.2837		-0.3651		1.6488		0.0000		1.2837		0.3651		-1.6488
		4.6		-0.9937		0.3997		0.5940		-0.0000		-1.3934		-0.1943		1.5877		0.0000		1.3934		0.1943		-1.5877
		4.7		-0.9999		0.4892		0.5107		-0.0000		-1.4892		-0.0215		1.5106		0.0000		1.4892		0.0215		-1.5106
		4.8		-0.9962		0.5739		0.4223		-0.0000		-1.5700		0.1516		1.4185		0.0000		1.5700		-0.1516		-1.4185
		4.9		-0.9825		0.6528		0.3297		-0.0000		-1.6352		0.3230		1.3122		0.0000		1.6352		-0.3230		-1.3122
		5		-0.9589		0.7251		0.2338		-0.0000		-1.6840		0.4913		1.1927		0.0000		1.6840		-0.4913		-1.1927
		5.1		-0.9258		0.7902		0.1356		-0.0000		-1.7161		0.6547		1.0614		0.0000		1.7161		-0.6547		-1.0614
		5.2		-0.8835		0.8475		0.0360		-0.0000		-1.7309		0.8115		0.9194		0.0000		1.7309		-0.8115		-0.9194
		5.3		-0.8323		0.8962		-0.0640		-0.0000		-1.7285		0.9602		0.7683		0.0000		1.7285		-0.9602		-0.7683
		5.4		-0.7728		0.9360		-0.1633		-0.0000		-1.7088		1.0993		0.6095		0.0000		1.7088		-1.0993		-0.6095
		5.5		-0.7055		0.9665		-0.2610		-0.0000		-1.6720		1.2275		0.4446		0.0000		1.6720		-1.2275		-0.4446
		5.6		-0.6313		0.9873		-0.3560		-0.0000		-1.6186		1.3433		0.2752		0.0000		1.6186		-1.3433		-0.2752
		5.7		-0.5507		0.9982		-0.4475		-0.0000		-1.5489		1.4458		0.1031		-0.0000		1.5489		-1.4458		-0.1031
		5.8		-0.4646		0.9992		-0.5346		-0.0000		-1.4638		1.5338		-0.0700		-0.0000		1.4638		-1.5338		0.0700
		5.9		-0.3739		0.9902		-0.6163		-0.0000		-1.3640		1.6064		-0.2424		0.0000		1.3640		-1.6064		0.2424
		6		-0.2794		0.9712		-0.6918		-0.0000		-1.2507		1.6631		-0.4124		0.0000		1.2507		-1.6631		0.4124
		6.1		-0.1822		0.9426		-0.7605		-0.0000		-1.1248		1.7031		-0.5783		0.0000		1.1248		-1.7031		0.5783
		6.2		-0.0831		0.9046		-0.8215		-0.0000		-0.9877		1.7261		-0.7384		0.0000		0.9877		-1.7261		0.7384
		6.3		0.0168		0.8575		-0.8743		0.0000		-0.8407		1.7318		-0.8911		0.0000		0.8407		-1.7318		0.8911
		6.4		0.1165		0.8018		-0.9184		0.0000		-0.6853		1.7202		-1.0349		0.0000		0.6853		-1.7202		1.0349
		6.5		0.2151		0.7382		-0.9533		0.0000		-0.5231		1.6915		-1.1684		0.0000		0.5231		-1.6915		1.1684
		6.6		0.3115		0.6672		-0.9787		0.0000		-0.3556		1.6459		-1.2902		0.0000		0.3556		-1.6459		1.2902
		6.7		0.4048		0.5895		-0.9943		0.0000		-0.1846		1.5838		-1.3992		0.0000		0.1846		-1.5838		1.3992
		6.8		0.4941		0.5059		-1.0000		0.0000		-0.0118		1.5058		-1.4941		0.0000		0.0118		-1.5058		1.4941
		6.9		0.5784		0.4172		-0.9957		0.0000		0.1612		1.4129		-1.5741		0.0000-0.1612		-1.4129		1.5741
		7		0.6570		0.3244		-0.9814		0.0000		0.3326		1.3058		-1.6384		0.0000		-0.3326		-1.3058		1.6384
		7.1		0.7290		0.2284		-0.9573		0.0000		0.5006		1.1857		-1.6863		0.0000		-0.5006		-1.1857		1.6863
		7.2		0.7937		0.1300		-0.9237		0.0000		0.6637		1.0537		-1.7173		0.0000		-0.6637		-1.0537		1.7173
		7.3		0.8504		0.0304		-0.8808		0.0000		0.8201		0.9112		-1.7313		0.0000		-0.8201		-0.9112		1.7313
		7.4		0.8987		-0.0696		-0.8291		0.0000		0.9683		0.7596		-1.7279		0.0000		-0.9683		-0.7596		1.7279
		7.5		0.9380		-0.1688		-0.7692		0.0000		1.1068		0.6004		-1.7072		0.0000		-1.1068		-0.6004		1.7072
		7.6		0.9679		-0.2664		-0.7016		0.0000		1.2343		0.4352		-1.6695		0.0000		-1.2343		-0.4352		1.6695
		7.7		0.9882		-0.3613		-0.6269		0.0000		1.3494		0.2657		-1.6151		0.0000		-1.3494		-0.2657		1.6151
		7.8		0.9985		-0.4525		-0.5460		0.0000		1.4511		0.0935		-1.5445		0.0000		-1.4511		-0.0935		1.5445
		7.9		0.9989		-0.5393		-0.4596		0.0000		1.5383		-0.0797		-1.4586		0.0000		-1.5383		0.0797		1.4586
		8		0.9894		-0.6207		-0.3687		0.0000		1.6100		-0.2520		-1.3580		0.0000		-1.6100		0.2520		1.3580
		8.1		0.9699		-0.6959		-0.2740		0.0000		1.6658		-0.4218		-1.2439		0.0000		-1.6658		0.4218		1.2439
		8.2		0.9407		-0.7641		-0.1766		0.0000		1.7048		-0.5874		-1.1174		0.0000		-1.7048		0.5874		1.1174
		8.3		0.9022		-0.8247		-0.0775		0.0000		1.7268		-0.7472		-0.9797		0.0000		-1.7268		0.7472		0.9797
		8.4		0.8546		-0.8770		0.0224		0.0000		1.7316		-0.8994		-0.8322		0.0000		-1.7316		0.8994		0.8322
		8.5		0.7985		-0.9206		0.1221		0.0000		1.7191		-1.0427		-0.6764		0.0000		-1.7191		1.0427		0.6764
		8.6		0.7344		-0.9550		0.2206		0.0000		1.6894		-1.1756		-0.5138		0.0000		-1.6894		1.1756		0.5138
		8.7		0.6630		-0.9798		0.3169		0.0000		1.6428		-1.2967		-0.3461		0.0000		-1.6428		1.2967		0.3461
		8.8		0.5849		-0.9949		0.4100		0.0000		1.5798		-1.4049		-0.1749		0.0000		-1.5798		1.4049		0.1749
		8.9		0.5010		-1.0000		0.4990		0.0000		1.5010		-1.4990		-0.0020		-0.0000		-1.5010		1.4990		0.0020
		9		0.4121		-0.9951		0.5830		0.0000		1.4072		-1.5781		0.1709		0.0000		-1.4072		1.5781		-0.1709
		9.1		0.3191		-0.9803		0.6612		0.0000		1.2994		-1.6415		0.3421		0.0000		-1.2994		1.6415		-0.3421
		9.2		0.2229		-0.9557		0.7328		0.0000		1.1786		-1.6885		0.5099		0.0000		-1.1786		1.6885		-0.5099
		9.3		0.1245		-0.9215		0.7971		0.0000		1.0460		-1.7186		0.6726		0.0000		-1.0460		1.7186		-0.6726
		9.4		0.0248		-0.8781		0.8534		0.0000		0.9029		-1.7315		0.8286		0.0000		-0.9029		1.7315		-0.8286
		9.5		-0.0752		-0.8260		0.9012		-0.0000		0.7508		-1.7272		0.9763		0.0000		-0.7508		1.7272		-0.9763
		9.6		-0.1743		-0.7656		0.9399		-0.0000		0.5913		-1.7055		1.1143		0.0000		-0.5913		1.7055		-1.1143
		9.7		-0.2718		-0.6976		0.9693		-0.0000		0.4258		-1.6669		1.2411		0.0000		-0.4258		1.6669		-1.2411
		9.8		-0.3665		-0.6225		0.9890		-0.0000		0.2561		-1.6115		1.3555		0.0000		-0.2561		1.6115		-1.3555
		9.9		-0.4575		-0.5413		0.9988		-0.0000		0.0838		-1.5401		1.4564		0.0000		-0.0838		1.5401		-1.4564
		10		-0.5440		-0.4546		0.9987		-0.0000		-0.0894		-1.4533		1.5427		0.0000		0.0894		1.4533		-1.5427
		10.1		-0.6251		-0.3635		0.9885		-0.0000		-0.2616		-1.3520		1.6136		0.0000		0.2616		1.3520		-1.6136
		10.2		-0.6999		-0.2686		0.9685		-0.0000		-0.4312		-1.2371		1.6684		0.0000		0.4312		1.2371		-1.6684
		10.3		-0.7677		-0.1711		0.9388		-0.0000		-0.5966		-1.1099		1.7065		0.0000		0.5966		1.1099		-1.7065
		10.4		-0.8278		-0.0719		0.8997		-0.0000		-0.7559		-0.9717		1.7276		0.0000		0.7559		0.9717		-1.7276
		10.5		-0.8797		0.0280		0.8517		-0.0000		-0.9077		-0.8237		1.7314		0.0000		0.9077		0.8237		-1.7314
		10.6		-0.9228		0.1277		0.7951		-0.0000		-1.0505		-0.6674		1.7179		0.0000		1.0505		0.6674		-1.7179
		10.7		-0.9566		0.2261		0.7306		-0.0000		-1.1827		-0.5045		1.6872		0.0000		1.1827		0.5045		-1.6872
		10.8		-0.9809		0.3222		0.6588		-0.0000		-1.3031		-0.3366		1.6397		0.0000		1.3031		0.3366		-1.6397
		10.9		-0.9954		0.4151		0.5804		-0.0000		-1.4105		-0.1653		1.5758		0.0000		1.4105		0.1653		-1.5758
		11		-1.0000		0.5038		0.4962		-0.0000		-1.5038		0.0077		1.4962		0.0000		1.5038		-0.0077		-1.4962
		11.1		-0.9946		0.5875		0.4070		-0.0000		-1.5821		0.1805		1.4016		0.0000		1.5821		-0.1805		-1.4016
		11.2		-0.9792		0.6654		0.3138		-0.0000		-1.6446		0.3516		1.2930		0.0000		1.6446		-0.3516		-1.2930
		11.3		-0.9540		0.7366		0.2174		-0.0000		-1.6906		0.5192		1.1714		0.0000		1.6906		-0.5192		-1.1714
		11.4		-0.9193		0.8004		0.1189		-0.0000		-1.7198		0.6815		1.0382		0.0000		1.7198		-0.6815		-1.0382
		11.5		-0.8755		0.8563		0.0192		-0.0000		-1.7317		0.8371		0.8946		0.0000		1.7317		-0.8371		-0.8946
		11.6		-0.8228		0.9036		-0.0807		-0.0000		-1.7264		0.9843		0.7421		0.0000		1.7264		-0.9843		-0.7421
		11.7		-0.7620		0.9418		-0.1798		-0.0000		-1.7038		1.1217		0.5821		0.0000		1.7038		-1.1217		-0.5821
		11.8		-0.6935		0.9707		-0.2772		-0.0000		-1.6642		1.2478		0.4164		0.0000		1.6642		-1.2478		-0.4164
		11.9		-0.6181		0.9898		-0.3717		-0.0000		-1.6080		1.3615		0.2464		0.0000		1.6080		-1.3615		-0.2464
		12		-0.5366		0.9991		-0.4625		-0.0000		-1.5357		1.4616		0.0741		-0.0000		1.5357		-1.4616		-0.0741
		12.1		-0.4496		0.9984		-0.5487		-0.0000		-1.4480		1.5471		-0.0991		-0.0000		1.4480		-1.5471		0.0991
		12.2		-0.3582		0.9877		-0.6294		-0.0000		-1.3459		1.6171		-0.2712		0.0000		1.3459		-1.6171		0.2712
		12.3		-0.2632		0.9671		-0.7039		-0.0000		-1.2303		1.6710		-0.4406		0.0000		1.2303		-1.6710		0.4406
		12.4		-0.1656		0.9369		-0.7713		-0.0000		-1.1025		1.7081		-0.6057		0.0000		1.1025		-1.7081		0.6057
		12.5		-0.0663		0.8973		-0.8310		-0.0000		-0.9636		1.7282		-0.7646		0.0000		0.9636		-1.7282		0.7646
		12.6		0.0336		0.8487		-0.8823		0.0000		-0.8151		1.7311		-0.9160		0.0000		0.8151		-1.7311		0.9160
		12.7		0.1332		0.7917		-0.9249		0.0000		-0.6585		1.7166		-1.0582		0.0000		0.6585		-1.7166		1.0582
		12.8		0.2315		0.7267		-0.9583		0.0000		-0.4952		1.6850		-1.1898		0.0000		0.4952		-1.6850		1.1898
		12.9		0.3275		0.6545		-0.9820		0.0000		-0.3271		1.6365		-1.3095		0.0000		0.3271		-1.6365		1.3095
		13		0.4202		0.5758		-0.9960		0.0000		-0.1556		1.5717		-1.4161		0.0000		0.1556		-1.5717		1.4161
		13.1		0.5087		0.4913		-0.9999		0.0000		0.0174		1.4912		-1.5086		0.0000		-0.0174		-1.4912		1.5086
		13.2		0.5921		0.4019		-0.9940		0.0000		0.1902		1.3958		-1.5860		0.0000		-0.1902		-1.3958		1.5860
		13.3		0.6696		0.3085		-0.9780		0.0000		0.3611		1.2865		-1.6476		0.0000		-0.3611		-1.2865		1.6476
		13.4		0.7404		0.2119		-0.9523		0.0000		0.5284		1.1643		-1.6927		0.0000		-0.5284		-1.1643		1.6927
		13.5		0.8038		0.1133		-0.9171		0.0000		0.6905		1.0304		-1.7209		0.0000		-0.6905		-1.0304		1.7209
		13.6		0.8592		0.0136		-0.8727		0.0000		0.8456		0.8863		-1.7319		0.0000		-0.8456		-0.8863		1.7319
		13.7		0.9060		-0.0863		-0.8196		0.0000		0.9923		0.7333		-1.7256		0.0000		-0.9923		-0.7333		1.7256
		13.8		0.9437		-0.1854		-0.7583		0.0000		1.1290		0.5730		-1.7020		0.0000		-1.1290		-0.5730		1.7020
		13.9		0.9720		-0.2825		-0.6895		0.0000		1.2545		0.4069		-1.6615		0.0000		-1.2545		-0.4069		1.6615
		14		0.9906		-0.3769		-0.6137		0.0000		1.3675		0.2368		-1.6043		0.0000		-1.3675		-0.2368		1.6043
		14.1		0.9993		-0.4675		-0.5318		0.0000		1.4668		0.0644		-1.5311		0.0000		-1.4668		-0.0644		1.5311
		14.2		0.9980		-0.5534		-0.4446		0.0000		1.5514		-0.1088		-1.4427		0.0000		-1.5514		0.1088		1.4427
		14.3		0.9868		-0.6338		-0.3530		0.0000		1.6206		-0.2808		-1.3398		0.0000		-1.6206		0.2808		1.3398
		14.4		0.9657		-0.7078		-0.2578		0.0000		1.6735		-0.4500		-1.2235		0.0000		-1.6735		0.4500		1.2235
		14.5		0.9349		-0.7748		-0.1601		0.0000		1.7097		-0.6147		-1.0950		0.0000		-1.7097		0.6147		1.0950
		14.6		0.8948		-0.8341		-0.0607		0.0000		1.7289		-0.7733		-0.9555		0.0000		-1.7289		0.7733		0.9555
		14.7		0.8457		-0.8850		0.0392		0.0000		1.7307		-0.9242		-0.8065		0.0000		-1.7307		0.9242		0.8065
		14.8		0.7883		-0.9270		0.1388		0.00001.7153		-1.0658		-0.6495		0.0000		-1.7153		1.0658		0.6495
		14.9		0.7229		-0.9598		0.2370		0.0000		1.6827		-1.1968		-0.4859		0.0000		-1.6827		1.1968		0.4859
		15		0.6503		-0.9831		0.3328		0.0000		1.6333		-1.3158		-0.3175		0.0000		-1.6333		1.3158		0.3175
		15.1		0.5712		-0.9964		0.4252		0.0000		1.5676		-1.4217		-0.1460		0.0000		-1.5676		1.4217		0.1460
		15.2		0.4864		-0.9999		0.5135		0.0000		1.4863		-1.5134		0.0271		0.0000		-1.4863		1.5134		-0.0271
		15.3		0.3967		-0.9933		0.5966		0.0000		1.3901		-1.5899		0.1998		0.0000		-1.3901		1.5899		-0.1998
		15.4		0.3031		-0.9768		0.6737		0.0000		1.2800		-1.6506		0.3706		0.0000		-1.2800		1.6506		-0.3706
		15.5		0.2065		-0.9506		0.7441		0.0000		1.1571		-1.6947		0.5377		0.0000		-1.1571		1.6947		-0.5377
		15.6		0.1078		-0.9149		0.8071		0.0000		1.0226		-1.7220		0.6994		0.0000		-1.0226		1.7220		-0.6994
		15.7		0.0080		-0.8700		0.8620		0.0000		0.8779		-1.7320		0.8541		0.0000		-0.8779		1.7320		-0.8541
		15.8		-0.0919		-0.8164		0.9083		-0.0000		0.7245		-1.7247		1.0002		0.0000		-0.7245		1.7247		-1.0002
		15.9		-0.1909		-0.7547		0.9455		-0.0000		0.5638		-1.7002		1.1364		0.0000		-0.5638		1.7002		-1.1364
		16		-0.2879		-0.6854		0.9733		-0.0000		0.3975		-1.6587		1.2612		0.0000		-0.3975		1.6587		-1.2612
		16.1		-0.3821		-0.6093		0.9914		-0.0000		0.2272		-1.6006		1.3734		0.0000		-0.2272		1.6006		-1.3734
		16.2		-0.4724		-0.5271		0.9995		-0.0000		0.0547		-1.5266		1.4719		0.0000		-0.0547		1.5266		-1.4719
		16.3		-0.5581		-0.4396		0.9977		-0.0000		-0.1184		-1.4373		1.5557		0.0000		0.1184		1.4373		-1.5557
		16.4		-0.6381		-0.3477		0.9858		-0.0000		-0.2904		-1.3336		1.6240		0.0000		0.2904		1.3336		-1.6240
		16.5		-0.7118		-0.2524		0.9642		-0.0000		-0.4594		-1.2166		1.6760		0.0000		0.4594		1.2166		-1.6760
		16.6		-0.7784		-0.1545		0.9329		-0.0000		-0.6238		-1.0874		1.7112		0.0000		0.6238		1.0874		-1.7112
		16.7		-0.8371		-0.0551		0.8923		-0.0000		-0.7820		-0.9474		1.7294		0.0000		0.7820		0.9474		-1.7294
		16.8		-0.8876		0.0448		0.8427		-0.0000		-0.9324		-0.7979		1.7303		0.0000		0.9324		0.7979		-1.7303
		16.9		-0.9291		0.1443		0.7848		-0.0000		-1.0735		-0.6405		1.7139		0.0000		1.0735		0.6405		-1.7139
		17		-0.9614		0.2424		0.7190		-0.0000		-1.2038		-0.4766		1.6804		0.0000		1.2038		0.4766		-1.6804
		17.1		-0.9841		0.3380		0.6460		-0.0000		-1.3221		-0.3080		1.6301		0.0000		1.3221		0.3080		-1.6301
		17.2		-0.9969		0.4303		0.5666		-0.0000		-1.4272		-0.1363		1.5635		0.0000		1.4272		0.1363		-1.5635
		17.3		-0.9998		0.5183		0.4815		-0.0000		-1.5181		0.0368		1.4813		0.0000		1.5181		-0.0368		-1.4813
		17.4		-0.9927		0.6011		0.3916		-0.0000		-1.5937		0.2095		1.3842		0.0000		1.5937		-0.2095		-1.3842
		17.5		-0.9756		0.6779		0.2978		-0.0000		-1.6535		0.3801		1.2734		0.0000		1.6535		-0.3801		-1.2734
		17.6		-0.9488		0.7479		0.2010		-0.0000		-1.6967		0.5469		1.1498		0.0000		1.6967		-0.5469		-1.1498
		17.7		-0.9126		0.8104		0.1022		-0.0000		-1.7230		0.7082		1.0148		0.0000		1.7230		-0.7082		-1.0148
		17.8		-0.8672		0.8648		0.0024		-0.0000		-1.7320		0.8625		0.8696		0.0000		1.7320		-0.8625		-0.8696
		17.9		-0.8132		0.9106		-0.0975		-0.0000		-1.7238		1.0081		0.7157		0.0000		1.7238		-1.0081		-0.7157
		18		-0.7510		0.9473		-0.1964		-0.0000		-1.6983		1.1437		0.5546		0.0000		1.6983		-1.1437		-0.5546
Plan2
		
Plan2
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Plan3
		
Plan3
		0		0.8660254216		-0.8660254216				-0.8660254216		1.7320508433		-0.8660254216		0.8660254216		-1.7320508433		0.8660254216
		0.0998334166		0.8117821965		-0.911615607				-0.7119487799		1.7233978036		-1.0114490237		0.7119487799		-1.7233978036		1.0114490237
		0.1986693308		0.7494279121		-0.9480972306				-0.5507585813		1.6975251426		-1.1467665614		0.5507585813		-1.6975251426		1.1467665614
		0.2955202067		0.6795855916		-0.97510578				-0.384065385		1.6546913716		-1.2706259867		0.384065385		-1.6546913716		1.2706259867
		0.3894183423		0.6029530766		-0.9923713948				-0.2135347343		1.5953244714		-1.3817897371		0.2135347343		-1.5953244714		1.3817897371
		0.4794255386		0.5202960537		-0.9997215627				-0.0408705151		1.5200176164		-1.4791471013		0.0408705151		-1.5200176164		1.4791471013
		0.5646424734		0.4324404047		-0.9970828431				0.1322020687		1.4295232478		-1.5617253165		-0.1322020687		-1.4295232478		1.5617253165
		0.6442176872		0.3402639541		-0.9844816014				0.3039537332		1.3247455555		-1.6286992887		-0.3039537332		-1.3247455555		1.6286992887
		0.7173560909		0.2446876985		-0.962043745				0.4726683924		1.2067314435		-1.6793998359		-0.4726683924		-1.2067314435		1.6793998359
		0.7833269096		0.1466666043		-0.9299934654				0.6366603053		1.0766600697		-1.7133203751		-0.6366603053		-1.0766600697		1.7133203751
		0.8414709848		0.0471800659		-0.8886509986				0.7942909189		0.9358310645		-1.7301219834		-0.7942909189		-0.9358310645		1.7301219834
		0.8912073601		-0.0527778801		-0.8384294248				0.9439852402		0.7856515446		-1.7296367848		-0.9439852402		-0.7856515446		1.7296367848
		0.932039086		-0.152208487		-0.7798305413				1.084247573		0.6276220542		-1.7118696272		-1.084247573		-0.6276220542		1.7118696272
		0.9635581854		-0.250118277		-0.7134398487				1.2136764625		0.4633215717		-1.6769980342		-1.2136764625		-0.4633215717		1.6769980342
		0.98544973		-0.3455289679		-0.6399207011				1.3309786979		0.2943917332		-1.6253704311		-1.3309786979		-0.2943917332		1.6253704311
		0.9974949866		-0.4374872475		-0.5600076773				1.4349822341		0.1225204298		-1.5575026639		-1.4349822341		-0.1225204298		1.5575026639
		0.999573603		-0.5250742992		-0.474499242				1.5246479022		-0.0505750572		-1.474072845		-1.5246479022		0.0505750572		1.474072845
		0.9916648105		-0.607414982		-0.384249767				1.5990797925		-0.223165215		-1.3759145775		-1.5990797925		0.223165215		1.3759145775
		0.9738476309		-0.6836865752		-0.2901609955				1.657534206		-0.3935255797		-1.2640086263		-1.657534206		0.3935255797		1.2640086263
		0.9463000877		-0.753126998		-0.1931730311				1.6994270857		-0.5599539669		-1.1394731188		-1.6994270857		0.5599539669		1.1394731188
		0.9092974268		-0.8150424249		-0.0942549457				1.7243398517		-0.7207874792		-1.0035523725		-1.7243398517		0.7207874792		1.0035523725
		0.8632093666		-0.8688142172		0.005604904				1.7320235839		-0.8744191212		-0.8576044627		-1.7320235839		0.8744191212		0.8576044627
		0.8084964038		-0.9139051051		0.1054087513				1.7224015089		-1.0193138564		-0.7030876525		-1.7224015089		1.0193138564		0.7030876525
		0.7457052122		-0.9498645553		0.2041593892				1.6955697675		-1.1540239445		-0.5415458229		-1.6955697675		1.1540239445		0.5415458229
		0.6754631806		-0.9763332728		0.300870134				1.6517964533		-1.2772034068		-0.3745930465		-1.6517964533		1.2772034068		0.3745930465
		0.5984721441		-0.993046791		0.3945746839				1.5915189351		-1.3876214749		-0.2038974602		-1.5915189351		1.3876214749		0.2038974602
		0.5155013718		-0.9998381139		0.484336774				1.5153394857		-1.4841748879		-0.0311645978		-1.5153394857		1.4841748879		0.0311645978
		0.4273798802		-0.9966393849		0.5692595311				1.4240192651		-1.565898916		0.1418796509		-1.4240192651		1.565898916		-0.1418796509
		0.3349881502		-0.9834825646		0.6484944352				1.3184707147		-1.6319769997		0.313506285		-1.3184707147		1.6319769997		-0.313506285
		0.2392493292		-0.9604991116		0.7212497972				1.1997484408		-1.6817489088		0.482000468		-1.1997484408		1.6817489088		-0.482000468
		0.1411200081		-0.927918669		0.7867986696				1.069038677		-1.7147173386		0.6456786616		-1.069038677		1.7147173386-0.6456786616
		0.0415806624		-0.8860667697		0.8444861099				0.9276474322		-1.7305528796		0.8029054474		-0.9276474322		1.7305528796		-0.8029054474
		-0.0583741434		-0.8353615842		0.893735724				0.7769874408		-1.7290973083		0.9521098675		-0.7769874408		1.7290973083		-0.9521098675
		-0.1577456941		-0.7763097419		0.9340554263				0.6185640478		-1.7103651682		1.0918011204		-0.6185640478		1.7103651682		-1.0918011204
		-0.255541102		-0.7095012693		0.9650423555				0.4539601672		-1.6745436248		1.2205834575		-0.4539601672		1.6745436248		-1.2205834575
		-0.3507832277		-0.6356036945		0.9863869005				0.2848204668		-1.6219905949		1.3371701281		-0.2848204668		1.6219905949		-1.3371701281
		-0.4425204433		-0.5553553777		0.9978757936				0.1128349344		-1.5532311712		1.4403962369		-0.1128349344		1.5532311712		-1.4403962369
		-0.5298361409		-0.4695581335		0.9993942416				-0.0602780074		-1.4689523751		1.5292303825		0.0602780074		1.4689523751		-1.5292303825
		-0.6118578909		-0.3790692197		0.9909270728				-0.2327886713		-1.3699962924		1.6027849637		0.2327886713		1.3699962924		-1.6027849637
		-0.6877661592		-0.2847927715		0.9725588881				-0.4029733877		-1.2573516597		1.6603250473		0.4029733877		1.2573516597		-1.6603250473
		-0.7568024953		-0.1876707681		0.9444732166				-0.5691317272		-1.1321439847		1.7012757119		0.5691317272		1.1321439847		-1.7012757119
		-0.8182771111		-0.0886736205		0.9069506809				-0.7296034906		-0.9956243013		1.7252277919		0.7296034906		0.9956243013		-1.7252277919
		-0.8715757724		0.0112095247		0.8603661938				-0.8827852971		-0.849156669		1.7319419662		0.8827852971		0.849156669		-1.7319419662
		-0.9161659367		0.110980668		0.805185212				-1.0271466048		-0.694204544		1.7213511488		1.0271466048		0.694204544		-1.7213511488
		-0.9516020739		0.2096429292		0.7419590858				-1.1612450031		-0.5323161566		1.6935611597		1.1612450031		0.5323161566		-1.6935611597
		-0.9775301177		0.3062105075		0.6713195497				-1.2837406252		-0.3651090422		1.6488496673		1.2837406252		0.3651090422		-1.6488496673
		-0.9936910036		0.3997185316		0.5939724105				-1.3934095353		-0.1942538789		1.5876634141		1.3934095353		0.1942538789		-1.5876634141
		-0.9999232576		0.4892327003		0.5106904953				-1.4891559579		-0.021457795		1.5106137529		1.4891559579		0.021457795		-1.5106137529
		-0.9961646088		0.5738586176		0.4223059296				-1.5700232265		0.1515526881		1.4184705384		1.5700232265		-0.1515526881		-1.4184705384
		-0.9824526126		0.6527507293		0.3297018225				-1.6352033419		0.3230489067		1.3121544352		1.6352033419		-0.3230489067		-1.3121544352
		-0.9589242747		0.7251207714		0.2338034439				-1.6840450461		0.4913173275		1.1927277186		1.6840450461		-0.4913173275		-1.1927277186
		-0.9258146823		0.7902456465		0.1355689785				-1.7160603289		0.654676668		1.0613836608		1.7160603289		-0.654676668		-1.0613836608
		-0.8834546557		0.8474746483		0.0359799527				-1.7309293041		0.8114946956		0.9194346084		1.7309293041		-0.8114946956		-0.9194346084
		-0.8322674422		0.8962359636		-0.0639685729				-1.7285034058		0.9602045365		0.7682988693		1.7285034058		-0.9602045365		-0.7682988693
		-0.7727644876		0.9360423854		-0.1632779456				-1.7088068729		1.099320331		0.6094865419		1.7088068729		-1.099320331		-0.6094865419
		-0.7055403256		0.966496181		-0.2609558991				-1.6720365066		1.2274520802		0.4445844264		1.6720365066		-1.2274520802		-0.4445844264
		-0.6312666379		0.9872930664		-0.3560264675				-1.6185597042		1.3433195339		0.2752401703		1.6185597042		-1.3433195339		-0.2752401703
		-0.5506855426		0.9982252457		-0.4475397372				-1.5489107883		1.4457649829		0.1031458054		1.5489107883		-1.4457649829		-0.1031458054
		-0.4646021794		0.9991834884		-0.5345813377				-1.4637856678		1.5337648261		-0.0699791583		1.4637856678		-1.5337648261		0.0699791583
		-0.3738766648		0.9901582199		-0.6162815782				-1.3640348847		1.6064397981		-0.2424049134		1.3640348847		-1.6064397981		0.2424049134
		-0.2794154982		0.9712396178		-0.6918241369				-1.250655116		1.6630637547		-0.4124086387		1.250655116		-1.6630637547		0.4124086387
		-0.1821625043		0.9426167105		-0.7604542175				-1.1247792148		1.703070928		-0.5782917132		1.1247792148		-1.703070928		0.5782917132
		-0.0830894028		0.9045754886		-0.8214860909				-0.9876648914		1.7260615795		-0.7383966881		0.9876648914		-1.7260615795		0.7383966881
		0.0168139005		0.8574960474		-0.8743099469				-0.840682147		1.7318059943		-0.8911238474		0.840682147		-1.7318059943		0.8911238474
		0.1165492049		0.8018487892		-0.9183979869				-0.6852995844		1.7202467761		-1.0349471917		0.6852995844		-1.7202467761		1.0349471917
		0.2151199881		0.738189723		-0.9533096977				-0.5230697349		1.6914994207		-1.1684296858		0.5230697349		-1.6914994207		1.1684296858
		0.3115413635		0.667154909		-0.9786962532				-0.3556135455		1.6458511622		-1.2902376167		0.3556135455		-1.6458511622		1.2902376167
		0.4048499206		0.5894541037		-0.9943039993				-0.1846041831		1.583758103		-1.3991539199		0.1846041831		-1.583758103		1.3991539199
		0.4941133511		0.5058636679		-0.9999769884				-0.0117503167		1.5058406563		-1.4940903396		0.0117503167		-1.5058406563		1.4940903396
		0.5784397644		0.4172188095		-0.9956585381				0.1612209549		1.4128773476		-1.5740983025		-0.1612209549		-1.4128773476		1.5740983025
		0.6569865987		0.3244052387		-0.9813917967				0.3325813601		1.3057970354		-1.6383783954		-0.3325813601		-1.3057970354		1.6383783954
		0.7289690401		0.2283503179		-0.957319313				0.5006187222		1.1856696309		-1.6862883531		-0.5006187222		-1.1856696309		1.6862883531
		0.7936678638		0.1300137963		-0.923681611				0.6636540675		1.0536954074		-1.7173494749		-0.6636540675		-1.0536954074		1.7173494749
		0.8504366206		0.0303782198		-0.8808147878				0.8200584008		0.9111930076		-1.7312514084		-0.8200584008		-0.9111930076		1.7312514084
		0.8987080958		-0.0695608858		-0.8291471544				0.9682689816		0.7595862686		-1.7278552502		-0.9682689816		-0.7595862686		1.7278552502
		0.9379999768		-0.1688049621		-0.7691949567				1.1068049389		0.6003899946		-1.7071949334		-1.1068049389		-0.6003899946		1.7071949334
		0.967919672		-0.266362395		-0.7015572172				1.234282067		0.4351948222		-1.6694768892		-1.234282067		-0.4351948222		1.6694768892
		0.9881682339		-0.3612584228		-0.6269097499				1.3494266567		0.2656513271		-1.6150779838		-1.3494266567		-0.2656513271		1.6150779838
		0.9985433454		-0.4525448759		-0.5459984076				1.4510882213		0.0934535317		-1.544541753		-1.4510882213		-0.0934535317		1.544541753
		0.9989413418		-0.5393096503		-0.4596316298				1.5382509921		-0.0796780205		-1.4585729716		-1.5382509921		0.0796780205		1.4585729716
		0.9893582466		-0.6206858208		-0.3686723646				1.6100440675		-0.2520134563		-1.3580306112		-1.6100440675		0.2520134563		1.3580306112
		0.9698898108		-0.6958603038		-0.274029447				1.6657501147		-0.4218308569		-1.2439192578		-1.6657501147		0.4218308569		1.2439192578
		0.9407305567		-0.7640819807		-0.1766485177				1.7048125374		-0.587433463		-1.1173790744		-1.7048125374		0.587433463		1.1173790744
		0.9021718338		-0.824669203		-0.0775025749				1.7268410368		-0.7471666281		-0.9796744087		-1.7268410368		0.7471666281		0.9796744087
		0.8545989081		-0.8770166032		0.022417748				1.7316155113		-0.8994343513		-0.8321811601		-1.7316155113		0.8994343513		0.8321811601
		0.7984871126		-0.9206011435		0.1221140803				1.7190882561		-1.0427152237		-0.6763730324		-1.7190882561		1.0427152237		0.6763730324
		0.7343970979		-0.9549873414		0.2205902889				1.6893844392		-1.1755776303		-0.5138068089		-1.6893844392		1.1755776303		0.5138068089
		0.6629692301		-0.9798316214		0.3168624324				1.6428008515		-1.2966940538		-0.3461067977		-1.6428008515		1.2966940538		0.3461067977
		0.5849171929		-0.9948857478		0.4099685911				1.5798029407		-1.404854339		-0.1749486017		-1.5798029407		1.404854339		0.1749486017
		0.5010208565		-0.9999993047		0.4989784793				1.5010201612		-1.498977784		-0.0020423772		-1.5010201612		1.498977784		0.0020423772
		0.4121184852		-0.99512119910.5830027394				1.4072396843		-1.5781239384		0.1708842541		-1.4072396843		1.5781239384		-0.1708842541
		0.3190983623		-0.9803001714		0.6612018288				1.2993985337		-1.6415020002		0.3421034664		-1.2993985337		1.6415020002		-0.3421034664
		0.2228899141		-0.9556843084		0.7327944081				1.1785742225		-1.6884787165		0.509904494		-1.1785742225		1.6884787165		-0.509904494
		0.1244544235		-0.9215195637		0.7970651479				1.0459739873		-1.7185847117		0.6726107244		-1.0459739873		1.7185847117		-0.6726107244
		0.0247754255		-0.8781473002		0.8533718763				0.9029227257		-1.7315191765		0.8285964508		-0.9029227257		1.7315191765		-0.8285964508
		-0.0751511205		-0.8260008791		0.9011519949				0.7508497587		-1.7271528741		0.9763031154		-0.7508497587		1.7271528741		-0.9763031154
		-0.1743267812		-0.7656013303		0.9399281007				0.5912745491		-1.705529431		1.1142548819		-0.5912745491		1.705529431		-1.1142548819
		-0.2717606264		-0.697552146		0.9693127556				0.4257915196		-1.6668649017		1.241073382		-0.4257915196		1.6668649017		-1.241073382
		-0.3664791293		-0.6225332513		0.9890123579				0.2560541221		-1.6115456092		1.3554914872		-0.2560541221		1.6115456092		-1.3554914872
		-0.4575358938		-0.5412942101		0.9988300756				0.0837583164		-1.5401242858		1.4563659694		-0.0837583164		1.5401242858		-1.4563659694
		-0.5440211109		-0.4546467361		0.9986678134				-0.0893743747		-1.4533145495		1.5426889243		0.0893743747		1.4533145495		-1.5426889243
		-0.6250706489		-0.3634565822		0.9885271925				-0.2616140666		-1.3519837747		1.6135978414		0.2616140666		1.3519837747		-1.6135978414
		-0.6998746876		-0.2686348903		0.9685095346				-0.4312397973		-1.2371444249		1.6683842222		0.4312397973		1.2371444249		-1.6683842222
		-0.7676858098		-0.1711290874		0.9388148496				-0.5965567224		-1.109943937		1.7065006594		0.5965567224		1.109943937		-1.7065006594
		-0.8278264691		-0.0719134191		0.899739837				-0.7559130499		-0.9716532562		1.7275663061		0.7559130499		0.9716532562		-1.7275663061
		-0.87969576		0.0280207842		0.8516749213				-0.9077165442		-0.8236541372		1.7313706813		0.9077165442		0.8236541372		-1.7313706813
		-0.9227754216		0.1276750131		0.7951003514				-1.0504504347		-0.6674253383		1.717875773		1.0504504347		0.6674253383		-1.717875773
		-0.9566350163		0.2260535555		0.7305814016				-1.1826885718		-0.504527846		1.6872164178		1.1826885718		0.504527846		-1.6872164178
		-0.9809362301		0.3221734455		0.6587627239				-1.3031096756		-0.3365892784		1.6396989539		1.3031096756		0.3365892784		-1.6396989539
		-0.9954362533		0.4150742849		0.5803619068				-1.4105105382		-0.1652876219		1.5757981601		1.4105105382		0.1652876219		-1.5757981601
		-0.9999902066		0.5038278393		0.4961623054				-1.5038180459		0.0076655339		1.4961525119		1.5038180459		-0.0076655339		-1.4961525119
		-0.9945525882		0.5875473124		0.4070052142				-1.5820999007		0.1805420982		1.4015578024		1.5820999007		-0.1805420982		-1.4015578024
		-0.9791777292		0.6653962071		0.3137814615				-1.6445739362		0.3516147456		1.2929591906		1.6445739362		-0.3516147456		-1.2929591906
		-0.9540192499		0.7365966827		0.2174225081				-1.6906159326		0.5191741746		1.171441758		1.6906159326		-0.5191741746		-1.171441758
		-0.9193285257		0.8004373278		0.1188911409				-1.7197658535		0.6815461869		1.0382196666		1.7197658535		-0.6815461869		-1.0382196666
		-0.8754521747		0.8562802677		0.0191718528				-1.7317324424		0.837108415		0.8946240275		1.7317324424		-0.837108415		-0.8946240275
		-0.822828595		0.9035675383		-0.0807389942				-1.7263961332		0.9843065325		0.7420896008		1.7263961332		-0.9843065325		-0.7420896008
		-0.7619835839		0.9418266606		-0.1798431239				-1.7038102445		1.1216697845		0.5821404601		1.7038102445		-1.1216697845		-0.5821404601
		-0.6935250848		0.9706753623		-0.2771503205				-1.6642004471		1.2478256828		0.4163747643		1.6642004471		-1.2478256828		-0.4163747643
		-0.6181371122		0.9898253967		-0.3716883227				-1.6079625089		1.3615137193		0.2464487896		1.6079625089		-1.3615137193		-0.2464487896
		-0.536572918		0.9990854228		-0.462512538				-1.5356583408		1.4615979608		0.07406038		1.5356583408		-1.4615979608		-0.07406038
		-0.4496474645		0.9983629177		-0.548715481				-1.4480103822		1.5470783987		-0.0990680164		1.4480103822		-1.5470783987		0.0990680164
		-0.3582292822		0.9876651003		-0.6294358402				-1.3458943825		1.6171009405		-0.271206558		1.3458943825		-1.6171009405		0.271206558
		-0.2632317914		0.9670988597		-0.7038670846				-1.2303306511		1.6709659444		-0.4406352933		1.2303306511		-1.6709659444		0.4406352933
		-0.1656041754		0.936869687		-0.7712655218				-1.1024738625		1.7081352088		-0.6056613464		1.1024738625		-1.7081352088		0.6056613464
		-0.0663218974		0.8972796221		-0.8309577288				-0.9636015194		1.7282373509		-0.7646358315		0.9636015194		-1.7282373509		0.7646358315
		0.0336230472		0.8487242357		-0.8823472809				-0.8151011885		1.7310715166		-0.9159703281		0.8151011885		-1.7310715166		0.9159703281
		0.1332320414		0.7916886774		-0.9249207106				-0.658456636		1.716609388		-1.058152752		0.658456636		-1.716609388		1.058152752
		0.2315098251		0.7267428275		-0.9582526383				-0.4952330024		1.6849954658		-1.1897624634		0.4952330024		-1.6849954658		1.1897624634
		0.3274744391		0.6545356035		-0.9820100224				-0.3270611644		1.6365456259		-1.3094844615		0.3270611644		-1.6365456259		1.3094844615
		0.4201670368		0.5757884761		-0.9959554869				-0.1556214393		1.5717439631		-1.4161225238		0.1556214393		-1.5717439631		1.4161225238
		0.5086614644		0.4912882606		-0.9999496935				0.0173732038		1.4912379541		-1.5086111579		-0.0173732038		-1.4912379541		1.5086111579
		0.5920735147		0.4018792552		-0.9939527332				0.1901942595		1.3958319884		-1.586026248		-0.1901942595		-1.3958319884		1.586026248
		0.6695697622		0.3084548051		-0.9780245259				0.3611149571		1.2864793309		-1.647594288		-0.3611149571		-1.2864793309		1.647594288
		0.74037589		0.2119483765		-0.9523242207				0.5284275134		1.1642725972		-1.6927001106		-0.5284275134		-1.1642725972		1.6927001106
		0.8037844266		0.1133242299		-0.9171086067				0.6904601967		1.0304328366		-1.7208930332		-0.6904601967		-1.0304328366		1.7208930332
		0.8591618149		0.013567785		-0.8727295467				0.8455940299		0.8862973316		-1.7318913615		-0.8455940299		-0.8862973316		1.7318913615
		0.9059547423		-0.0863242248		-0.8196304615				0.9922789671		0.7333062367		-1.7255852038		-0.9922789671		-0.7333062367		1.7255852038
		0.9436956694		-0.1853537114		-0.7583418997				1.1290493808		0.5729881883		-1.7020375691		-1.1290493808		-0.5729881883		1.7020375691
		0.9720075014		-0.282531205		-0.6894762363				1.2545387064		0.4069450313		-1.6614837377		-1.2545387064		-0.4069450313		1.6614837377
		0.9906073557		-0.3768857401		-0.6137215543				1.3674930958		0.2368358141		-1.6043289099		-1.3674930958		-0.2368358141		1.6043289099
		0.9993093887		-0.4674745576		-0.5318347693				1.4667839463		0.0643602117		-1.5311441581		-1.4667839463		-0.0643602117		1.5311441581
		0.9980266527		-0.5533925238		-0.4446340672				1.5514191765		-0.1087584566		-1.4426607199		-1.5514191765		0.1087584566		1.4426607199
		0.9867719643		-0.6337811748		-0.3529907284				1.6205531391		-0.2807904464		-1.3397626927		-1.6205531391		0.2807904464		1.3397626927
		0.9656577765		-0.7078372939		-0.2578204229				1.6734950704		-0.4500168709		-1.2234781995		-1.6734950704		0.4500168709		1.2234781995
		0.9348950555		-0.7748209366		-0.160074061				1.7097159922		-0.6147468756		-1.0949691166		-1.7097159922		0.6147468756		1.0949691166
		0.8947911721		-0.8340628247		-0.060728292				1.7288539969		-0.7733345327		-0.9555194642		-1.7288539969		0.7733345327		0.9555194642
		0.8457468311		-0.8849710328		0.039224254				1.7307178639		-0.9241952868		-0.8065225772		-1.7307178639		0.9241952868		0.8065225772
		0.7882520674		-0.9270369028		0.1387848842				1.7152889702		-1.065821787		-0.6494671832		-1.7152889702		1.065821787		0.6494671832
		0.7228813495		-0.9598401265		0.2369588218				1.6827214761		-1.1967989483-0.4859225277		-1.6827214761		1.1967989483		0.4859225277
		0.6502878402		-0.983052945		0.3327651451				1.6333407852		-1.3158180901		-0.3175226951		-1.6333407852		1.3158180901		0.3175226951
		0.5711968697		-0.9964434234		0.4252465891				1.5676402931		-1.4216900125		-0.1459502806		-1.5676402931		1.4216900125		0.1459502806
		0.4863986889		-0.9998777685		0.5134791097				1.4862764574		-1.5133568782		0.0270804209		-1.4862764574		1.5133568782		-0.0270804209
		0.3967405731		-0.9933216654		0.5965811169				1.3900622386		-1.5899027823		0.1998405437		-1.3900622386		1.5899027823		-0.1998405437
		0.3031183567		-0.9768406207		0.6737222827				1.2799589774		-1.6505629033		0.3706039259		-1.2799589774		1.6505629033		-0.3706039259
		0.2064674819		-0.9505993073		0.7441318381				1.1570667892		-1.6947311454		0.5376643562		-1.1570667892		1.6947311454		-0.5376643562
		0.1077536523		-0.9148599199		0.8071062742				1.0226135722		-1.7219661941		0.6993526219		-1.0226135722		1.7219661941		-0.6993526219
		0.0079631838		-0.8699795545		0.8620163712				0.8779427383		-1.7319959258		0.8540531874		-0.8779427383		1.7319959258		-0.8540531874
		-0.0919068502		-0.8164066411		0.9083134856				0.7244997908		-1.7247201267		1.0002203358		-0.7244997908		1.7247201267		-1.0002203358
		-0.1908585814		-0.7546764623		0.9455350319				0.5638178809		-1.7002114942		1.1363936133		-0.5638178809		1.7002114942		-1.1363936133
		-0.2879033167		-0.6854058058		0.9733091047				0.3975024892		-1.6587149105		1.2612124213		-0.3975024892		1.6587149105		-1.2612124213
		-0.3820714172		-0.6092868011		0.9913581946				0.2272153839		-1.6006449957		1.3734296118		-0.2272153839		1.6006449957		-1.3734296118
		-0.4724219864		-0.527080004		0.9995019612				0.0546580176		-1.5265819652		1.4719239476		-0.0546580176		1.5265819652		-1.4719239476
		-0.5580522713		-0.4396067978		0.9976590345				-0.1184454735		-1.4372658323		1.5557113058		0.1184454735		1.4372658323		-1.5557113058
		-0.6381066823		-0.3477411857		0.9858478286				-0.2903654966		-1.3335890144		1.623954511		0.2903654966		1.3335890144		-1.623954511
		-0.7117853424		-0.2524010587		0.964186357				-0.4593842836		-1.2165874158		1.6759716994		0.4593842836		1.2165874158		-1.6759716994
		-0.7783520785		-0.1545390238		0.9328910541				-0.6238130548		-1.0874300779		1.7112431327		0.6238130548		1.0874300779		-1.7112431327
		-0.837141778		-0.055132886		0.8922746122				-0.7820088921		-0.9474074981		1.7294163902		0.7820088921		0.9474074981		-1.7294163902
		-0.8875670336		0.0448241214		0.8427428572				-0.932391155		-0.7979187358		1.7303098908		0.932391155		0.7979187358		-1.7303098908
		-0.9291240127		0.144333261		0.7847906942				-1.0734572737		-0.6404574332		1.713914707		1.0734572737		0.6404574332		-1.713914707
		-0.9613974919		0.2424002703		0.7189971621				-1.2037977622		-0.4765968917		1.6803946539		1.2037977622		0.4765968917		-1.6803946539
		-0.9840650051		0.3380452963		0.6460196479				-1.3221103014		-0.3079743516		1.630084653		1.3221103014		0.3079743516		-1.630084653
		-0.996900066		0.4303126854		0.5665873189				-1.4272127515		-0.1362746335		1.563487385		1.4272127515		0.1362746335		-1.563487385
		-0.9997744311		0.5182805324		0.4814938368				-1.5180549635		0.0367866956		1.4812682679		1.5180549635		-0.0367866956		-1.4812682679
		-0.9926593805		0.6010698916		0.3915894274				-1.5937292721		0.2094804642		1.3842488079		1.5937292721		-0.2094804642		-1.3842488079
		-0.9756260055		0.6778535592		0.2977723859				-1.6534795647		0.3800811733		1.2733983913		1.6534795647		-0.3800811733		-1.2733983913
		-0.9488444979		0.7478643381		0.2009801011				-1.696708836		0.546884237		1.149824599		1.696708836		-0.546884237		-1.149824599
		-0.9125824498		0.8104027037		0.1021796896				-1.7229851535		0.7082230141		1.0147621394		1.7229851535		-0.7082230141		-1.0147621394
		-0.8672021795		0.8648437934		0.0023583324				-1.7320459729		0.862485461		0.8695605119		1.7320459729		-0.862485461		-0.8695605119
		-0.8131571117		0.9106436498		-0.0974865884				-1.7238007614		1.0081302382		0.7156705232		1.7238007614		-1.0081302382		-0.7156705232
		-0.7509872468		0.9473446558		-0.1963574555				-1.6983319026		1.1437021114		0.5546297912		1.6983319026		-1.1437021114		-0.5546297912
v21
V32
V13
*
*
*
A2. Tensões de Fase e de Linha de Sistema de Alimentação Trifásico
V10 (Ө) = VM. Sen (Ө) V12 (Ө) = 1,732.VM. Sen (Ө + π/6) 
V20 (Ө) = VM. Sen (Ө-2π/3) V23 (Ө) = 1,732.VM. Sen (Ө-2π/3 + π/6) 
V30 (Ө) = VM. Sen (Ө-4π/3) V31 (Ө) = 1,732.VM. Sen (Ө-4π/3 + π/6)
VM.
Gráf2
		0		0.8660254216		-0.8660254216				-0.8660254216		1.7320508433		-0.8660254216		0.8660254216		-1.7320508433		0.8660254216
		0.0998334166		0.8117821965		-0.911615607				-0.7119487799		1.7233978036		-1.0114490237		0.7119487799		-1.7233978036		1.0114490237
		0.1986693308		0.7494279121		-0.9480972306				-0.5507585813		1.6975251426		-1.1467665614		0.5507585813		-1.6975251426		1.1467665614
		0.2955202067		0.6795855916		-0.97510578				-0.384065385		1.6546913716		-1.2706259867		0.384065385		-1.6546913716		1.2706259867
		0.3894183423		0.6029530766		-0.9923713948				-0.2135347343		1.5953244714		-1.3817897371		0.2135347343		-1.5953244714		1.3817897371
		0.4794255386		0.5202960537		-0.9997215627				-0.0408705151		1.5200176164		-1.4791471013		0.0408705151		-1.5200176164		1.4791471013
		0.5646424734		0.4324404047		-0.9970828431				0.1322020687		1.4295232478		-1.5617253165		-0.1322020687		-1.4295232478		1.5617253165
		0.6442176872		0.3402639541		-0.9844816014				0.3039537332		1.3247455555		-1.6286992887		-0.3039537332		-1.3247455555		1.6286992887
		0.7173560909		0.2446876985		-0.962043745				0.4726683924		1.2067314435		-1.6793998359		-0.4726683924		-1.2067314435		1.6793998359
		0.7833269096		0.1466666043		-0.9299934654				0.6366603053		1.0766600697		-1.7133203751		-0.6366603053		-1.0766600697		1.7133203751
		0.8414709848		0.0471800659		-0.8886509986				0.7942909189		0.9358310645		-1.7301219834		-0.7942909189		-0.9358310645		1.7301219834
		0.8912073601		-0.0527778801		-0.8384294248				0.9439852402		0.7856515446		-1.7296367848		-0.9439852402		-0.7856515446		1.7296367848
		0.932039086		-0.152208487		-0.7798305413				1.084247573		0.6276220542		-1.7118696272		-1.084247573		-0.6276220542		1.7118696272
		0.9635581854		-0.250118277		-0.7134398487				1.2136764625		0.4633215717		-1.6769980342		-1.2136764625		-0.4633215717		1.6769980342
		0.98544973		-0.3455289679		-0.6399207011				1.3309786979		0.2943917332		-1.6253704311		-1.3309786979		-0.2943917332		1.6253704311
		0.9974949866		-0.4374872475		-0.5600076773				1.4349822341		0.1225204298		-1.5575026639		-1.4349822341		-0.1225204298		1.5575026639
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