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Mathcad Professional 14.0 Gabriel Polli Parametric Technology Corporation Gabriel Polli 41 B0132253-DD55-49A8-9C06-8FD3BEF70629 00B87DCC-0208-40D3-81CF-A9FEB99D43E8 00000000-0000-0000-0000-000000000000 00000000-0000-0000-0000-000000000000 Cálculo da corrente de Curto-Circuito em cada apartamento e no quadro geral. Dados do transformador Sn 112.5 10 3 Vn 13.8 10 3 Vs 220 Pcu 1650 ZB Vn 2 Sn 3 977.33853568419852 Zpu 0.035 Inom Sn Vs 3 295.23593310833138 Ib Inom Rpu Pcu 10 Sn 0.0014666666666666667 Xpu Zpu 2 Rpu 2 0.034969256338802643 Rreal Rpu Vn 2 100 Sn 0.024827733333333334 Zreal Zpu Vn 2 100 Sn 0.59248000000000012 X Zreal 2 Rreal 2 0.59195957130325128 FA 1.65 Barramentos do quadro de proteção geral Dx 38.1 10 -3 Dy 3.18 10 -3 Rbar 0.1474 10 -3 Xbar 0.1880 10 -3 RbarT Dx Rbar 5.61594E-06 XbarT Dx Xbar 7.1628000000000011E-06 ZbarT RbarT 2 XbarT 2 9.1018946337342323E-06 Impedância do trafo ao quadro geral Rramal 0.1921 10 -3 Xramal 0.1125 10 -3 RramalT 8 Rramal 0.0015368 XramalT 8 Xramal 0.00090000000000000008 ZramalT XramalT 2 RramalT 2 0.0017809419530125062 Barramentos do quadro de proteção de cada apartamento 6377cb3bee2513c81b5e9f04eaf4fb1c Dxap 12.7 10 -3 a2a0fa3d78bf0bae3229b393d2b75f61 Dyap 1.59 10 -3 f840ae74f3bc511ff4245deb8dcf3dad Rbarap 0.8843 10 -3 027507a4596c7133bc6ed7c42698dca0 Xbarap 0.2430 10 -3 40f112575cd99ab7ca151e75f54265e1 RbarapT Dxap Rbarap 1.123061E-05 b0feb57dd519fac073687cd26dab5549 XbarapT Dxap Xbarap 3.0861E-06 ZbarapT XbarapT 2 RbarapT 2 1.164691436313069E-05 Impedâncias até cada um dos quadros de proteção de cada apartamento A distância do ramal que liga o barramento geral até cada apartamento é a mesma a cada dois apartamentos devido à construção. ρcu 1.72 10 -8 L12 7.7 L78 18.2 L1314 28.7 n 3 L34 11.2 L910 21.7 L1516 32.2 L56 14.7 L1112 25.2 L1718 35.2 Ac 25 10 -6 R1314 ρcu L1314 n Ac 0.0065818666666666668 R12 ρcu L12 n Ac 0.0017658666666666666 R78 ρcu L78 n Ac 0.0041738666666666664 R1516 ρcu L1516 n Ac 0.0073845333333333344 R34 ρcu L34 n Ac 0.0025685333333333332 R910 ρcu L910 n Ac 0.0049765333333333332 R1718 ρcu L1718 n Ac 0.0080725333333333347 R56 ρcu L56 n Ac 0.0033711999999999995 R1112 ρcu L1112 n Ac 0.0057791999999999991 Xc 0.1164 10 -3 Reatância de cada um dos cabos até os quadros X1314 Xc L1314 n 0.00111356 X12 Xc L12 n 0.00029876000000000007 X78 Xc L78 n 0.00070616000000000006 X1516 Xc L1516 n 0.0012493600000000001 X34 Xc L34 n 0.00043456 X910 Xc L910 n 0.0008419600000000001 X1718 Xc L1718 n 0.0013657600000000002 X56 Xc L56 n 0.00057036 X1112 Xc L1112 n 0.00097776 Z12 X12 2 R12 2 0.0017909613681049751 Z78 X78 2 R78 2 0.00423318141552085 Z1314 X1314 2 R1314 2 0.0066754014629367255 Z34 X34 2 R34 2 0.0026050347172436 Z910 X910 2 R910 2 0.0050472547646594756 Z1516 X1516 2 R1516 2 0.0074894748120753517 Z1112 X1112 2 R1112 2 0.0058613281137980993 Z1718 R1718 2 X1718 2 0.0081872519684798879 Z56 X56 2 R56 2 0.0034191080663822249 Calculando a corrente de curto-circuito no QGD Zqgd Rpu Rramal 2 Xpu Xramal 2 0.035120950082102906 Icsqgd Vs Zqgd 3 3616.5610248238586 Ct Rpu Rramal 377 Xpu Xramal 0.00012541879432084255 k 0.9 0.1254 7.1770334928229662 Ics Vs Zreal 3 214.38202002045244 Ica FA Icsqgd 5967.3256909593665 Fa 1 2 e k 0.5 0.99923577729183732 Icim Ica 2 8439.0729232521371 Icb Icsqgd 3 2 3132.0337218341451 Reatâncias de sequência zero X0 2.4355 10 -3 R0 2.6891 10 -3 X01314 L1314 X0 n 0.023299616666666665 X012 L12 X0 n 0.0062511166666666673 X078 L78 X0 n 0.014775366666666666 X01516 L1516 X0 n 0.026141033333333338 X034 L34 X0 n 0.009092533333333333 X0910 L910 X0 n 0.017616783333333334 X01718 L1718 X0 n 0.028576533333333338 X056 L56 X0 n 0.01193395 X01112 L1112 X0 n 0.0204582 Resistências de sequências zero Xreal X R012 L12 R0 n 0.0069020233333333333 R078 R0 L78 n 0.016313873333333333 R01314 R0 L1314 n 0.025725723333333332 R034 L34 R0 n 0.010039306666666666 R0910 R0 L910 n 0.019451156666666667 R01516 R0 L1516 n 0.028863006666666666 R056 L56 R0 n 0.013176589999999998 R01112 R0 L1112 n 0.022588439999999998 R01718 R0 L1718 n 0.03155210666666667 Impedância total até cada um dos apartamentos (Sequência Positiva, negativa e zero) RE Rramal RbarT Rreal 0.025025449273333333 XE Xramal XbarT Xreal 0.59207923410325125 RT12 RE R12 R012 0.033693339273333331 XT12 XE X12 X012 0.59862911076991787 RT34 RE R34 R034 0.037633289273333335 XT34 XE X34 X034 0.6016063274365846 RT56 RE R12 R012 0.033693339273333331 XT56 XE R56 R056 0.60862702410325131 RT78 RE R78 R078 0.045513189273333331 XT78 XE X78 X078 0.60756076076991794 RT910 RE X910 X0910 0.043484192606666666 XT910 XE X910 X0910 0.61053797743658467 RT1112 RE R1112 R01112 0.053393089273333333 XT1112 XE X1112 X01112 0.61351519410325128 RT1314 RE R1314 R01314 0.05733303927333333 XT1314 XE X1314 X01314 0.6164924107699179 RT1516 RE X1516 X01516 0.052415842606666672 XT1516 XE X1516 X01516 0.61946962743658451 RT1718 RE R1718 R01718 0.064650089273333336 XT1718 XE X1718 X01718 0.62202152743658456 Somatório das impedâncias de sequências zero de cada cabo Z012 R012 2 X012 2 0.5 0.0093120559316487977 Z078 R078 2 X078 2 0.5 0.022010314020260793 Z034 R034 2 X034 2 0.5 0.013544808627852796 Z0910 R0910 2 X0910 2 0.5 0.026243066716464793 Z056 R056 2 X056 2 0.5 0.017777561324056793 Z01112 R01112 2 X01112 2 0.5 0.030475819412668789 Z01314 R01314 2 X01314 2 0.5 0.034708572108872786 Z01516 R01516 2 X01516 2 0.5 0.038941324805076789 Z01718 R01718 2 X01718 2 0.5 0.042569398544680226 No transformador Z0TR Zreal 0.59248000000000012 Impedância total em cada um dos cabos de sequência positiva ZT12 RT12 2 XT12 2 0.59957656172716634 ZT78 RT78 2 XT78 2 0.60926310279316254 ZT34 RT34 2 XT34 2 0.60278224731097163 ZT910 RT910 2 XT910 2 0.61208455044953491 ZT56 RT56 2 XT56 2 0.60955893528039407 ZT1112 RT1112 2 XT1112 2 0.61583416223663678 ZT1314 RT1314 2 XT1314 2 0.61915262248432956 ZT1516 RT1516 2 XT1516 2 0.6216832311334991 ZT1718 RT1718 2 XT1718 2 0.62537222087137168 Cálculo das correntes de curto-circuito fase-terra. Ictfmax12 3 Inom 2 ZT12 Z0TR Z012 491.80164363857506 Ictfmax34 3 Inom 2 ZT34 Z0TR Z034 488.91202754185497 Ictfmax56 3 Inom 2 ZT56 Z0TR Z056 484.15857340580453 Ictfmax78 3 Inom 2 ZT78 Z0TR Z078 483.19684511904484 Ictfmax910 3 Inom 2 ZT910 Z0TR Z0910 480.60750101889357 Ictfmax1112 3 Inom 2 ZT1112 Z0TR Z01112 477.56727542066562 ZGR 10 45 40 3 68.333333333333329 Icftmin12 3 Ib 2 ZT12 Z0TR Z012 3 ZGR 4.2829001509480618 Icftmin34 3 Ib 2 ZT34 Z0TR Z034 3 ZGR 4.2826797197823971 Icftmin56 3 Ib 2 ZT56 Z0TR Z056 3 ZGR 4.2823114341254893 Icftmin78 3 Ib 2 ZT78 Z0TR Z078 3 ZGR 4.2822360483295183 Icftmin910 3 Ib 2 ZT910 Z0TR Z0910 3 ZGR 4.2820315943332448 Icftmin1112 3 Ib 2 ZT1112 Z0TR Z01112 3 ZGR 4.2817887344346 Icftmin1314 3 Ib 2 ZT1314 Z0TR Z01314 3 ZGR 4.2815637493809788 Icftmin1516 3 Ib 2 ZT1516 Z0TR Z01516 3 ZGR 4.2813713976427978 Icftmin1718 3 Ib 2 ZT1718 Z0TR Z01718 3 ZGR 4.2811436342929694 Tendo como base as corretes de curto-circuito de impulso em cada um dos quadros, pode-se dimensionar o disjuntor a ser utilizado no projeto. Ics12 Vs ZT12 3 211.84460389149771 Ics78 Vs ZT78 3 208.47653278100844 Ics34 Vs ZT34 3 210.71798280115962 Ics910 Vs ZT910 3 207.51554524359781 Ics56 Vs ZT56 3 208.37535449019455 Ics1112 Vs ZT1112 3 206.25205129966608 Ics1314 Vs ZT1314 3 205.14660619875258 Ics1516 Vs ZT1516 3 204.3115414101338 Ics1718 Vs ZT1718 3 203.10633408809966 Ica12 FA Ics12 349.5435964209712 Ica78 FA Ics78 343.98627908866393 Ica1314 FA Ics1314 338.49190022794176 Ica34 FA Ics34 347.68467162191337 Ica910 FA Ics910 342.40064965193636 Ica1516 FA Ics1516 337.11404332672078 Ica56 FA Ics56 343.819334908821 Ica1112 FA Ics1112 340.315884644449 Ica1718 FA Ics1718 335.12545124536445 Seja: SQ 2 1.4142135623730952 Icim12 SQ Ica12 494.32929469920515 Icim78 SQ Ica78 486.47006115744517 Icim1314 SQ Ica1314 478.6998360557958 Icim34 SQ Ica34 491.70037803694589 Icim910 SQ Ica910 484.227642503127 Icim1516 SQ Ica1516 476.75125213907972 Icim56 SQ Ica56 486.233966434152 Icim1112 SQ Ica1112 481.2793395551775 Icim1718 SQ Ica1718 473.93895824759784 Seja : TR 3 2 0.8660254037844386 Icb12 TR Ics12 183.46280862468876 Icb78 TR Ics78 180.54597348125259 Icb34 TR Ics34 182.48712614001664 Icb910 TR Ics910 179.71373386113473 Icb56 TR Ics56 180.45835051109626 Icb1112 TR Ics1112 178.61951600816207 Icb1314 TR Ics1314 177.66217246828191 Icb1516 TR Ics1516 176.93898514753218 Icb1718 TR Ics1718 175.8952449898236 Assim, tem-se as informações completas acerca dos curto-circuitos em cada uma das partes da edicifação e dos circuitos. iVBORw0KGgoAAAANSUhEUgAAAFMAAAAZCAYAAABNcRIKAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG5SURBVGhD7ZcLrsQgCEVdlwtyPa7G zXQxPqR+GIr9WNLkJdykyeg4gEfAjssmNRlMRRlMRRlMRRnMF9qiz845eHyOm8Fc1xZzKATx I0ANyWCqKIXsAazBfK0tx5jwk8F8Iyh1jz3TWWZqCXumjwZTRykHg6kk8QKCyfHeBI01RGiv 36u9anAd5yFGv/es9q4nCzKn9jbnAozmEn333jh84Lpms64fMPEHbXENElL3a5g9SLYhaX6L oW8uhXm8dN2ZZN/lICoXZDQ/DAaTLvwPmUk03ejIylKKVzr4KNXax3uSzUIgZd5KRiiXnrWk 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