Unidadesvariable

Definicion de variableDc diametro de la conduccionds Diametro de la almenaraLc longitud de la conduccionn manningRh Radio humedo

As Area de la almenarak perdidas totalesf coeficiente de friccionDelta T cambio del tiempoQ caudal k0 perdidas localesk1 perdidas totales por otro metodo Dw.Ac Area de la conduccionDELTA Vi Cambio de la velocidad

z0 condiciones inicial, negativo por el nivel de referencia

C1 constantes de discretizacion

C2 constantes de discretizacion

C3 constantes de discretizacion

C4 constantes de discretizacion

∆𝑉_𝑖=-𝐶_1 𝑍_𝑖− _𝐶 2 〖 |𝑉〗 _(𝑖−1) | _( −1)𝑉 𝑖

𝐶_4=∆𝑡/𝐴𝑠 𝑄_█(𝑇𝑢𝑟𝑏@)

ECUACION

∆𝑉_𝑖=-𝐶_1 𝑍_𝑖− _𝐶 2 〖 |𝑉〗 _(𝑖−1) | _( −1)𝑉 𝑖∆𝑍_𝑖=-𝐶_3 𝑉_𝑖− _𝐶 4𝐶_1=𝑔 ∆𝑡/𝐿𝑐𝐶_2=𝑔 ∆𝑡/𝐿𝑐∗𝐾𝐶_3=∆𝑡/𝐴𝑠 𝐴_𝐶

𝐶_4=∆𝑡/𝐴𝑠 𝑄_█(𝑇𝑢𝑟𝑏@)

m/s2 m3/s mg Qturbinado Q de diseño Dc

condicion inicial del transitorio 0 09.8 120 5.5

m coeficiente dem ( diametro s coeficiente de friccionLc n ds Delta T Rh f vicierre vi abierto

2000 0.016 19.31 10 1.375 5.05086762 0

As AC k k1 k0 hf Zia Zic

292.856204 23.7582944 0.38588279 0.05102041 0 0 -9.84435763

c1 c2 c3 c4 C4 DE APERTdelta zi i t0 0

0.049 0.01890826 0.81126144 0 4.09757411 1 102 203 304 405 50

6 607 708 809 90

10 10011 11012 12013 13014 140

15 150

16 160

17 170

18 180

19 19020 20021 21022 22023 23024 24025 25026 26027 27028 28029 29030 30031 31032 32033 33034 340

35 35036 36037 37038 38039 39040 40041 41042 42043 43044 44045 45046 46047 47048 48049 49050 50051 51052 52053 53054 54055 55056 56057 57058 58059 59060 60061 61062 62063 63064 64065 65066 66067 67068 68069 69070 70071 71072 72073 73074 74075 75076 76077 77078 78079 790

80 80081 81082 82083 83084 84085 85086 86087 87088 88089 89090 90091 91092 92093 93094 94095 95096 96097 97098 98099 990

100 1000101 1010102 1020103 1030104 1040105 1050106 1060107 1070108 1080109 1090110 1100111 1110112 1120113 1130114 1140115 1150116 1160117 1170118 1180119 1190120 1200121 1210122 1220123 1230124 1240

125 1250126 1260127 1270128 1280129 1290130 1300131 1310132 1320133 1330134 1340135 1350136 1360137 1370138 1380139 1390140 1400141 1410142 1420143 1430144 1440145 1450146 1460147 1470148 1480149 1490150 1500151 1510152 1520153 1530154 1540155 1550156 1560157 1570158 1580159 1590160 1600161 1610162 1620163 1630164 1640165 1650166 1660167 1670168 1680169 1690

170 1700171 1710172 1720173 1730174 1740175 1750176 1760177 1770178 1780179 1790180 1800181 1810182 1820183 1830184 1840185 1850186 1860187 1870188 1880189 1890190 1900191 1910192 1920193 1930194 1940195 1950196 1960197 1970198 1980199 1990200 2000201 2010202 2020203 2030204 2040205 2050206 2060207 2070208 2080209 2090210 2100211 2110212 2120213 2130214 2140

215 2150216 2160217 2170218 2180219 2190220 2200221 2210222 2220223 2230224 2240225 2250226 2260227 2270228 2280229 2290230 2300231 2310232 2320233 2330234 2340235 2350236 2360237 2370238 2380239 2390240 2400241 2410242 2420243 2430244 2440245 2450246 2460247 2470248 2480249 2490250 2500251 2510252 2520253 2530254 2540255 2550256 2560257 2570258 2580259 2590

260 2600261 2610262 2620263 2630264 2640265 2650266 2660267 2670268 2680269 2690270 2700271 2710272 2720273 2730274 2740275 2750276 2760277 2770278 2780279 2790280 2800281 2810282 2820283 2830284 2840285 2850286 2860287 2870288 2880289 2890290 2900291 2910292 2920293 2930294 2940295 2950296 2960297 2970298 2980299 2990300 3000301 3010302 3020303 3030304 3040

305 3050306 3060307 3070308 3080309 3090310 3100311 3110312 3120313 3130314 3140315 3150316 3160317 3170318 3180319 3190320 3200321 3210322 3220323 3230324 3240325 3250326 3260327 3270328 3280329 3290330 3300331 3310332 3320333 3330334 3340335 3350336 3360337 3370338 3380339 3390340 3400341 3410342 3420343 3430344 3440345 3450346 3460347 3470348 3480349 3490

350 3500351 3510352 3520353 3530354 3540355 3550356 3560357 3570358 3580359 3590360 3600361 3610362 3620363 3630364 3640365 3650366 3660367 3670368 3680369 3690370 3700371 3710372 3720373 3730374 3740375 3750376 3760377 3770378 3780379 3790380 3800381 3810382 3820383 3830384 3840385 3850386 3860387 3870388 3880389 3890390 3900391 3910392 3920393 3930394 3940

395 3950396 3960397 3970398 3980399 3990400 4000401 4010402 4020403 4030404 4040405 4050406 4060407 4070408 4080409 4090410 4100411 4110412 4120413 4130414 4140415 4150416 4160417 4170418 4180419 4190420 4200421 4210422 4220423 4230424 4240425 4250426 4260427 4270428 4280429 4290430 4300431 4310432 4320433 4330434 4340435 4350436 4360437 4370438 4380439 4390

440 4400441 4410442 4420443 4430444 4440445 4450446 4460447 4470448 4480449 4490450 4500451 4510452 4520453 4530454 4540455 4550456 4560457 4570458 4580459 4590460 4600461 4610462 4620463 4630464 4640465 4650466 4660467 4670468 4680469 4690470 4700471 4710472 4720473 4730474 4740475 4750476 4760477 4770478 4780479 4790480 4800481 4810482 4820483 4830484 4840

485 4850486 4860487 4870488 4880489 4890490 4900491 4910492 4920493 4930494 4940495 4950496 4960497 4970498 4980499 4990500 5000501 5010502 5020503 5030504 5040505 5050506 5060507 5070508 5080509 5090510 5100511 5110512 5120513 5130514 5140515 5150516 5160517 5170518 5180519 5190520 5200521 5210522 5220523 5230524 5240525 5250526 5260527 5270528 5280529 5290

530 5300531 5310532 5320533 5330534 5340535 5350536 5360537 5370538 5380539 5390540 5400541 5410542 5420543 5430544 5440545 5450546 5460547 5470548 5480549 5490550 5500551 5510552 5520553 5530554 5540555 5550556 5560557 5570558 5580559 5590560 5600561 5610562 5620563 5630564 5640565 5650566 5660567 5670568 5680569 5690570 5700571 5710572 5720573 5730574 5740

575 5750576 5760577 5770578 5780579 5790580 5800581 5810582 5820583 5830584 5840585 5850586 5860587 5870588 5880589 5890590 5900591 5910592 5920593 5930594 5940595 5950596 5960597 5970598 5980599 5990600 6000601 6010602 6020603 6030604 6040605 6050606 6060607 6070608 6080609 6090610 6100611 6110612 6120613 6130614 6140615 6150616 6160617 6170618 6180619 6190

620 6200621 6210622 6220623 6230624 6240625 6250626 6260627 6270628 6280629 6290630 6300631 6310632 6320633 6330634 6340635 6350636 6360637 6370638 6380639 6390640 6400641 6410642 6420643 6430644 6440645 6450646 6460647 6470648 6480649 6490650 6500651 6510652 6520653 6530654 6540655 6550656 6560657 6570658 6580659 6590660 6600661 6610662 6620663 6630664 6640

665 6650666 6660667 6670668 6680669 6690670 6700671 6710672 6720673 6730674 6740675 6750676 6760677 6770678 6780679 6790680 6800681 6810682 6820683 6830684 6840685 6850686 6860687 6870688 6880689 6890690 6900691 6910692 6920693 6930694 6940695 6950696 6960697 6970698 6980699 6990700 7000701 7010702 7020703 7030704 7040705 7050706 7060707 7070708 7080709 7090

710 7100711 7110712 7120713 7130714 7140715 7150716 7160717 7170718 7180719 7190720 7200721 7210722 7220723 7230724 7240725 7250726 7260727 7270728 7280729 7290730 7300731 7310732 7320733 7330734 7340735 7350736 7360737 7370738 7380739 7390740 7400741 7410742 7420743 7430744 7440745 7450746 7460747 7470748 7480749 7490750 7500751 7510752 7520753 7530754 7540

755 7550756 7560757 7570758 7580759 7590760 7600761 7610762 7620763 7630764 7640765 7650766 7660767 7670768 7680769 7690770 7700771 7710772 7720773 7730774 7740775 7750776 7760777 7770778 7780779 7790780 7800781 7810782 7820783 7830784 7840785 7850786 7860787 7870788 7880789 7890790 7900791 7910792 7920793 7930794 7940795 7950796 7960797 7970798 7980799 7990

800 8000801 8010802 8020803 8030804 8040805 8050806 8060807 8070808 8080809 8090810 8100811 8110812 8120813 8130814 8140815 8150816 8160817 8170818 8180819 8190820 8200821 8210822 8220823 8230824 8240825 8250826 8260827 8270828 8280829 8290830 8300831 8310832 8320833 8330834 8340835 8350836 8360837 8370838 8380839 8390840 8400841 8410842 8420843 8430844 8440

845 8450846 8460847 8470848 8480849 8490850 8500851 8510852 8520853 8530854 8540855 8550856 8560857 8570858 8580859 8590860 8600861 8610862 8620863 8630864 8640865 8650866 8660867 8670868 8680869 8690870 8700871 8710872 8720873 8730874 8740875 8750876 8760877 8770878 8780879 8790880 8800881 8810882 8820883 8830884 8840885 8850886 8860887 8870888 8880889 8890

890 8900891 8910892 8920893 8930894 8940895 8950896 8960897 8970898 8980899 8990900 9000901 9010902 9020903 9030904 9040905 9050906 9060907 9070908 9080909 9090910 9100911 9110912 9120913 9130914 9140915 9150916 9160917 9170918 9180919 9190920 9200921 9210922 9220923 9230924 9240925 9250926 9260927 9270928 9280929 9290930 9300931 9310932 9320933 9330934 9340

935 9350936 9360937 9370938 9380939 9390940 9400941 9410942 9420943 9430944 9440945 9450946 9460947 9470948 9480949 9490950 9500951 9510952 9520953 9530954 9540955 9550956 9560957 9570958 9580959 9590960 9600961 9610962 9620963 9630964 9640965 9650966 9660967 9670968 9680969 9690970 9700971 9710972 9720973 9730974 9740975 9750976 9760977 9770978 9780979 9790

980 9800981 9810982 9820983 9830984 9840985 9850986 9860987 9870988 9880989 9890990 9900991 9910992 9920993 9930994 9940995 9950996 9960997 9970998 9980999 9990

1000 100001001 100101002 100201003 100301004 100401005 100501006 100601007 100701008 100801009 100901010 101001011 101101012 101201013 101301014 101401015 101501016 101601017 101701018 101801019 101901020 102001021 102101022 102201023 102301024 10240

1025 102501026 102601027 102701028 102801029 102901030 103001031 103101032 103201033 103301034 103401035 103501036 103601037 103701038 103801039 103901040 104001041 104101042 104201043 104301044 104401045 104501046 104601047 104701048 104801049 104901050 105001051 105101052 105201053 105301054 105401055 105501056 105601057 105701058 105801059 105901060 106001061 106101062 106201063 106301064 106401065 106501066 106601067 106701068 106801069 10690

1070 107001071 107101072 107201073 107301074 107401075 107501076 107601077 107701078 107801079 107901080 108001081 108101082 108201083 108301084 108401085 108501086 108601087 108701088 108801089 108901090 109001091 109101092 109201093 109301094 109401095 109501096 109601097 109701098 109801099 109901100 110001101 110101102 110201103 110301104 110401105 110501106 110601107 110701108 110801109 110901110 111001111 111101112 111201113 111301114 11140

1115 111501116 111601117 111701118 111801119 111901120 112001121 112101122 112201123 112301124 112401125 112501126 112601127 112701128 112801129 112901130 113001131 113101132 113201133 113301134 113401135 113501136 113601137 113701138 113801139 113901140 114001141 114101142 114201143 114301144 114401145 114501146 114601147 114701148 114801149 114901150 115001151 115101152 115201153 115301154 115401155 115501156 115601157 115701158 115801159 11590

1160 116001161 116101162 116201163 116301164 116401165 116501166 116601167 116701168 116801169 116901170 117001171 117101172 117201173 117301174 117401175 117501176 117601177 117701178 117801179 117901180 118001181 118101182 118201183 118301184 118401185 118501186 118601187 118701188 118801189 118901190 119001191 119101192 119201193 119301194 119401195 119501196 119601197 119701198 119801199 119901200 120001201 120101202 120201203 120301204 12040

1205 120501206 120601207 120701208 120801209 120901210 121001211 121101212 121201213 121301214 121401215 121501216 121601217 121701218 121801219 121901220 122001221 122101222 122201223 122301224 122401225 122501226 122601227 122701228 122801229 122901230 123001231 123101232 123201233 123301234 123401235 123501236 123601237 123701238 123801239 123901240 124001241 124101242 124201243 124301244 124401245 124501246 124601247 124701248 124801249 12490

1250 125001251 125101252 125201253 125301254 125401255 125501256 125601257 125701258 125801259 125901260 126001261 126101262 126201263 126301264 126401265 126501266 126601267 126701268 126801269 126901270 127001271 127101272 127201273 127301274 127401275 127501276 127601277 127701278 127801279 127901280 128001281 128101282 128201283 128301284 128401285 128501286 128601287 128701288 128801289 128901290 129001291 129101292 129201293 129301294 12940

1295 129501296 129601297 129701298 129801299 129901300 130001301 130101302 130201303 130301304 130401305 130501306 130601307 130701308 130801309 130901310 131001311 131101312 131201313 131301314 131401315 131501316 131601317 131701318 131801319 131901320 132001321 132101322 132201323 132301324 132401325 132501326 132601327 132701328 132801329 132901330 133001331 133101332 133201333 133301334 133401335 133501336 133601337 133701338 133801339 13390

1340 134001341 134101342 134201343 134301344 134401345 134501346 134601347 134701348 134801349 134901350 135001351 135101352 135201353 135301354 135401355 135501356 135601357 135701358 135801359 135901360 136001361 136101362 136201363 136301364 136401365 136501366 136601367 136701368 136801369 136901370 137001371 137101372 137201373 137301374 137401375 137501376 137601377 137701378 137801379 137901380 138001381 138101382 138201383 138301384 13840

1385 138501386 138601387 138701388 138801389 138901390 139001391 139101392 139201393 139301394 139401395 139501396 139601397 139701398 139801399 139901400 140001401 140101402 140201403 140301404 140401405 140501406 140601407 140701408 140801409 140901410 141001411 141101412 141201413 141301414 141401415 141501416 141601417 141701418 141801419 141901420 142001421 142101422 142201423 142301424 142401425 142501426 142601427 142701428 142801429 14290

1430 143001431 143101432 143201433 143301434 143401435 143501436 143601437 143701438 143801439 143901440 144001441 144101442 144201443 144301444 144401445 144501446 144601447 144701448 144801449 144901450 145001451 145101452 145201453 145301454 145401455 145501456 145601457 145701458 145801459 145901460 146001461 146101462 146201463 146301464 146401465 146501466 146601467 146701468 146801469 146901470 147001471 147101472 147201473 147301474 14740

1475 147501476 147601477 147701478 147801479 147901480 148001481 148101482 148201483 148301484 148401485 148501486 148601487 148701488 148801489 148901490 149001491 149101492 149201493 149301494 149401495 149501496 149601497 149701498 149801499 149901500 150001501 150101502 150201503 150301504 150401505 150501506 150601507 150701508 150801509 150901510 151001511 151101512 151201513 151301514 151401515 151501516 151601517 151701518 151801519 15190

1520 152001521 152101522 152201523 152301524 152401525 152501526 152601527 152701528 152801529 152901530 153001531 153101532 153201533 153301534 153401535 153501536 153601537 153701538 153801539 153901540 154001541 154101542 154201543 154301544 154401545 154501546 154601547 154701548 154801549 154901550 155001551 155101552 155201553 155301554 155401555 155501556 155601557 155701558 155801559 155901560 156001561 156101562 156201563 156301564 15640

1565 156501566 156601567 156701568 156801569 156901570 157001571 157101572 157201573 157301574 157401575 157501576 157601577 157701578 157801579 157901580 158001581 158101582 158201583 158301584 158401585 158501586 158601587 158701588 158801589 158901590 159001591 159101592 159201593 159301594 159401595 159501596 159601597 159701598 159801599 159901600 160001601 160101602 160201603 160301604 160401605 160501606 160601607 160701608 160801609 16090

1610 161001611 161101612 161201613 161301614 161401615 161501616 161601617 161701618 161801619 161901620 162001621 162101622 162201623 162301624 162401625 162501626 162601627 162701628 162801629 162901630 163001631 163101632 163201633 163301634 163401635 163501636 163601637 163701638 163801639 163901640 164001641 164101642 164201643 164301644 164401645 164501646 164601647 164701648 164801649 164901650 165001651 165101652 165201653 165301654 16540

1655 165501656 165601657 165701658 165801659 165901660 166001661 166101662 166201663 166301664 166401665 166501666 166601667 166701668 166801669 166901670 167001671 167101672 167201673 167301674 167401675 167501676 167601677 167701678 167801679 167901680 168001681 168101682 168201683 168301684 168401685 168501686 168601687 168701688 168801689 168901690 169001691 169101692 169201693 169301694 169401695 169501696 169601697 169701698 169801699 16990

1700 170001701 170101702 170201703 170301704 170401705 170501706 170601707 170701708 170801709 170901710 171001711 171101712 171201713 171301714 171401715 171501716 171601717 171701718 171801719 171901720 172001721 172101722 172201723 172301724 172401725 172501726 172601727 172701728 172801729 172901730 173001731 173101732 173201733 173301734 173401735 173501736 173601737 173701738 173801739 173901740 174001741 174101742 174201743 174301744 17440

1745 174501746 174601747 174701748 174801749 174901750 175001751 175101752 175201753 175301754 175401755 175501756 175601757 175701758 175801759 175901760 176001761 176101762 176201763 176301764 176401765 176501766 176601767 176701768 176801769 176901770 177001771 177101772 177201773 177301774 177401775 177501776 177601777 177701778 177801779 177901780 178001781 178101782 178201783 178301784 178401785 178501786 178601787 178701788 178801789 17890

1790 179001791 179101792 179201793 179301794 179401795 179501796 179601797 179701798 179801799 179901800 180001801 180101802 180201803 180301804 180401805 180501806 180601807 180701808 180801809 180901810 181001811 181101812 181201813 181301814 181401815 181501816 181601817 181701818 181801819 181901820 182001821 182101822 182201823 182301824 182401825 182501826 182601827 182701828 182801829 182901830 183001831 183101832 183201833 183301834 18340

1835 183501836 183601837 183701838 183801839 183901840 184001841 184101842 184201843 184301844 184401845 184501846 184601847 184701848 184801849 184901850 185001851 185101852 185201853 185301854 185401855 185501856 185601857 185701858 185801859 185901860 186001861 186101862 186201863 186301864 186401865 186501866 186601867 186701868 186801869 186901870 187001871 187101872 187201873 187301874 187401875 187501876 187601877 187701878 187801879 18790

1880 188001881 188101882 188201883 188301884 188401885 188501886 188601887 188701888 188801889 188901890 189001891 189101892 189201893 189301894 189401895 189501896 189601897 189701898 189801899 189901900 190001901 190101902 190201903 190301904 190401905 190501906 190601907 190701908 190801909 190901910 191001911 191101912 191201913 191301914 191401915 191501916 191601917 191701918 191801919 191901920 192001921 192101922 192201923 192301924 19240

1925 192501926 192601927 192701928 192801929 192901930 193001931 193101932 193201933 193301934 193401935 193501936 193601937 193701938 193801939 193901940 194001941 194101942 194201943 194301944 194401945 194501946 194601947 194701948 194801949 194901950 195001951 195101952 195201953 195301954 195401955 195501956 195601957 195701958 195801959 195901960 196001961 196101962 196201963 196301964 196401965 196501966 196601967 196701968 196801969 19690

1970 197001971 197101972 197201973 197301974 197401975 197501976 197601977 197701978 197801979 197901980 198001981 198101982 198201983 198301984 198401985 198501986 198601987 198701988 198801989 198901990 199001991 199101992 199201993 199301994 199401995 199501996 199601997 199701998 199801999 199902000 200002001 200102002 200202003 200302004 200402005 200502006 200602007 200702008 200802009 200902010 201002011 201102012 201202013 201302014 20140

2015 201502016 201602017 201702018 201802019 201902020 202002021 202102022 202202023 202302024 202402025 202502026 202602027 202702028 202802029 202902030 203002031 203102032 203202033 203302034 203402035 203502036 203602037 203702038 203802039 203902040 204002041 204102042 204202043 204302044 204402045 204502046 204602047 204702048 204802049 204902050 205002051 205102052 205202053 205302054 205402055 205502056 205602057 205702058 205802059 20590

2060 206002061 206102062 206202063 206302064 206402065 206502066 206602067 206702068 206802069 206902070 207002071 207102072 207202073 207302074 207402075 207502076 207602077 207702078 207802079 207902080 208002081 208102082 208202083 208302084 208402085 208502086 208602087 208702088 208802089 208902090 209002091 209102092 209202093 209302094 209402095 209502096 209602097 209702098 209802099 209902100 210002101 210102102 210202103 210302104 21040

2105 210502106 210602107 210702108 210802109 210902110 211002111 211102112 211202113 211302114 211402115 211502116 211602117 211702118 211802119 211902120 212002121 212102122 212202123 212302124 212402125 212502126 212602127 212702128 212802129 212902130 213002131 213102132 213202133 213302134 213402135 213502136 213602137 213702138 213802139 213902140 214002141 214102142 214202143 214302144 214402145 214502146 214602147 214702148 214802149 21490

2150 215002151 215102152 215202153 215302154 215402155 215502156 215602157 215702158 215802159 215902160 216002161 216102162 216202163 216302164 216402165 216502166 216602167 216702168 216802169 216902170 217002171 217102172 217202173 217302174 217402175 217502176 217602177 217702178 217802179 217902180 218002181 218102182 218202183 218302184 218402185 218502186 218602187 218702188 218802189 218902190 219002191 219102192 219202193 219302194 21940

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4220 422004221 422104222 422204223 422304224 422404225 422504226 422604227 422704228 422804229 422904230 423004231 423104232 423204233 423304234 423404235 423504236 423604237 423704238 423804239 423904240 424004241 424104242 424204243 424304244 424404245 424504246 424604247 424704248 424804249 424904250 425004251 425104252 425204253 425304254 425404255 425504256 425604257 425704258 425804259 425904260 426004261 426104262 426204263 426304264 42640

4265 426504266 426604267 426704268 426804269 426904270 427004271 427104272 427204273 427304274 427404275 427504276 427604277 427704278 427804279 427904280 428004281 428104282 428204283 428304284 428404285 428504286 428604287 428704288 428804289 428904290 429004291 429104292 429204293 429304294 429404295 429504296 429604297 429704298 429804299 429904300 430004301 430104302 430204303 430304304 430404305 430504306 430604307 430704308 430804309 43090

4310 431004311 431104312 431204313 431304314 431404315 431504316 431604317 431704318 431804319 431904320 432004321 432104322 432204323 432304324 432404325 432504326 432604327 432704328 432804329 432904330 433004331 433104332 433204333 433304334 433404335 433504336 433604337 433704338 433804339 433904340 434004341 434104342 434204343 434304344 434404345 434504346 434604347 434704348 434804349 434904350 435004351 435104352 435204353 435304354 43540

4355 435504356 435604357 435704358 435804359 435904360 436004361 436104362 436204363 436304364 436404365 436504366 436604367 436704368 436804369 436904370 437004371 437104372 437204373 437304374 437404375 437504376 437604377 437704378 437804379 437904380 438004381 438104382 438204383 438304384 438404385 438504386 438604387 438704388 438804389 438904390 439004391 439104392 439204393 439304394 439404395 439504396 439604397 439704398 439804399 43990

4400 440004401 440104402 440204403 440304404 440404405 440504406 440604407 440704408 440804409 440904410 441004411 441104412 441204413 441304414 441404415 441504416 441604417 441704418 441804419 441904420 442004421 442104422 442204423 442304424 442404425 442504426 442604427 442704428 442804429 442904430 443004431 443104432 443204433 443304434 443404435 443504436 443604437 443704438 443804439 443904440 444004441 444104442 444204443 444304444 44440

4445 444504446 444604447 444704448 444804449 444904450 445004451 445104452 445204453 445304454 445404455 445504456 445604457 445704458 445804459 445904460 446004461 446104462 446204463 446304464 446404465 446504466 446604467 446704468 446804469 446904470 447004471 447104472 447204473 447304474 447404475 447504476 447604477 447704478 447804479 447904480 448004481 448104482 448204483 448304484 448404485 448504486 448604487 448704488 448804489 44890

4490 449004491 449104492 449204493 449304494 449404495 449504496 449604497 449704498 449804499 449904500 450004501 450104502 450204503 450304504 450404505 450504506 450604507 450704508 450804509 450904510 451004511 451104512 451204513 451304514 451404515 451504516 451604517 451704518 451804519 451904520 452004521 452104522 452204523 452304524 452404525 452504526 452604527 452704528 452804529 452904530 453004531 453104532 453204533 453304534 45340

4535 453504536 453604537 453704538 453804539 453904540 454004541 454104542 454204543 454304544 454404545 454504546 454604547 454704548 454804549 454904550 455004551 455104552 455204553 455304554 455404555 455504556 455604557 455704558 455804559 455904560 456004561 456104562 456204563 456304564 456404565 456504566 456604567 456704568 456804569 456904570 457004571 457104572 457204573 457304574 457404575 457504576 457604577 457704578 457804579 45790

4580 458004581 458104582 458204583 458304584 458404585 458504586 458604587 458704588 458804589 458904590 459004591 459104592 459204593 459304594 459404595 459504596 459604597 459704598 459804599 459904600 460004601 460104602 460204603 460304604 460404605 460504606 460604607 460704608 460804609 460904610 461004611 461104612 461204613 461304614 461404615 461504616 461604617 461704618 461804619 461904620 462004621 462104622 462204623 462304624 46240

4625 462504626 462604627 462704628 462804629 462904630 463004631 463104632 463204633 463304634 463404635 463504636 463604637 463704638 463804639 463904640 464004641 464104642 464204643 464304644 464404645 464504646 464604647 464704648 464804649 464904650 465004651 465104652 465204653 465304654 465404655 465504656 465604657 465704658 465804659 465904660 466004661 466104662 466204663 466304664 466404665 466504666 466604667 466704668 466804669 46690

4670 467004671 467104672 467204673 467304674 467404675 467504676 467604677 467704678 467804679 467904680 468004681 468104682 468204683 468304684 468404685 468504686 468604687 468704688 468804689 468904690 469004691 469104692 469204693 469304694 469404695 469504696 469604697 469704698 469804699 469904700 470004701 470104702 470204703 470304704 470404705 470504706 470604707 470704708 470804709 470904710 471004711 471104712 471204713 471304714 47140

4715 471504716 471604717 471704718 471804719 471904720 472004721 472104722 472204723 472304724 472404725 472504726 472604727 472704728 472804729 472904730 473004731 473104732 473204733 473304734 473404735 473504736 473604737 473704738 473804739 473904740 474004741 474104742 474204743 474304744 474404745 474504746 474604747 474704748 474804749 474904750 475004751 475104752 475204753 475304754 475404755 475504756 475604757 475704758 475804759 47590

4760 476004761 476104762 476204763 476304764 476404765 476504766 476604767 476704768 476804769 476904770 477004771 477104772 477204773 477304774 477404775 477504776 477604777 477704778 477804779 477904780 478004781 478104782 478204783 478304784 478404785 478504786 478604787 478704788 478804789 478904790 479004791 479104792 479204793 479304794 479404795 479504796 479604797 479704798 479804799 479904800 480004801 480104802 480204803 480304804 48040

4805 480504806 480604807 480704808 480804809 480904810 481004811 481104812 481204813 481304814 481404815 481504816 481604817 481704818 481804819 481904820 482004821 482104822 482204823 482304824 482404825 482504826 482604827 482704828 482804829 482904830 483004831 483104832 483204833 483304834 483404835 483504836 483604837 483704838 483804839 483904840 484004841 484104842 484204843 484304844 484404845 484504846 484604847 484704848 484804849 48490

4850 485004851 485104852 485204853 485304854 485404855 485504856 485604857 485704858 485804859 485904860 486004861 486104862 486204863 486304864 486404865 486504866 486604867 486704868 486804869 486904870 487004871 487104872 487204873 487304874 487404875 487504876 487604877 487704878 487804879 487904880 488004881 488104882 488204883 488304884 488404885 488504886 488604887 488704888 488804889 488904890 489004891 489104892 489204893 489304894 48940

4895 489504896 489604897 489704898 489804899 489904900 490004901 490104902 490204903 490304904 490404905 490504906 490604907 490704908 490804909 490904910 491004911 491104912 491204913 491304914 491404915 491504916 491604917 491704918 491804919 491904920 492004921 492104922 492204923 492304924 492404925 492504926 492604927 492704928 492804929 492904930 493004931 493104932 493204933 493304934 493404935 493504936 493604937 493704938 493804939 49390

4940 494004941 494104942 494204943 494304944 494404945 494504946 494604947 494704948 494804949 494904950 495004951 495104952 495204953 495304954 495404955 495504956 495604957 495704958 495804959 495904960 496004961 496104962 496204963 496304964 496404965 496504966 496604967 496704968 496804969 496904970 497004971 497104972 497204973 497304974 497404975 497504976 497604977 497704978 497804979 497904980 498004981 498104982 498204983 498304984 49840

4985 498504986 498604987 498704988 498804989 498904990 499004991 499104992 499204993 499304994 499404995 499504996 499604997 499704998 499804999 499905000 50000

zi c1zi c2Vi-1|Vi-1| delta Vi Vi delta de zi-9.84435763 5.05086762 4.09757

-5.74678 0.28159 -0.48237352 -0.20078113 4.85008648 3.93469-1.81210 0.08879 -0.44478533 -0.35599266 4.49409383 3.645891.83379 -0.08986 -0.38188778 -0.47174347 4.02235036 3.263185.09697 -0.24975 -0.3059224 -0.5556738 3.46667655 2.812387.90935 -0.38756 -0.22723652 -0.61479459 2.85188196 2.31362

10.22297 -0.50093 -0.15378521 -0.65471075 2.19717121 1.7824812.00545 -0.58827 -0.09128077 -0.67954784 1.51762337 1.2311913.23664 -0.6486 -0.04354913 -0.69214448 0.82547889 0.6696813.90632 -0.68141 -0.01288438 -0.69429401 0.13118488 0.1064314.01274 -0.68662 -0.0003254 -0.68694987 -0.55576498 -0.4508713.56187 -0.66453 0.00584028 -0.65869152 -1.2144565 -0.9852412.57663 -0.61625 0.02788787 -0.58836708 -1.80282358 -1.4625611.11407 -0.54459 0.0614551 -0.48313435 -2.28595794 -1.85451

9.25956 -0.45372 0.09880706 -0.35491143 -2.64086937 -2.14244

7.11713 -0.34874 0.13186979 -0.21686936 -2.85773872 -2.31837

4.79875 -0.23514 0.1544175 -0.08072136 -2.93846008 -2.38386

2.41489 -0.11833 0.16326424 0.04493449 -2.89352559 -2.34741

0.06749 -0.00331 0.1583092 0.15500232 -2.73852327 -2.22166

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-0.05317 0.00261 9.84451E-06 0.00261525 -0.02020242 -0.01639-0.06956 0.00341 7.71717E-06 0.00341621 -0.01678621 -0.01362-0.08318 0.00408 5.32791E-06 0.0040811 -0.01270511 -0.01031-0.09349 0.00458 3.05217E-06 0.00458388 -0.00812123 -0.00659-0.10007 0.0049 1.24708E-06 0.0049049 -0.00321633 -0.00261-0.10268 0.00503 1.95602E-07 0.00503171 0.00181538 0.00147-0.10121 0.00496 -6.2314E-08 0.00495928 0.00677466 0.00550-0.09572 0.00469 -8.6781E-07 0.00468917 0.01146384 0.00930-0.08641 0.00423 -2.4849E-06 0.00423185 0.01569569 0.01273-0.07368 0.00361 -4.6581E-06 0.00360574 0.01930143 0.01566-0.05802 0.00284 -7.0442E-06 0.00283609 0.02213752 0.01796-0.04006 0.00196 -9.2664E-06 0.00195386 0.02409138 0.01954-0.02052 0.00101 -1.0974E-05 0.00099448 0.02508586 0.02035-0.00017 8.24E-06 -1.1899E-05 -3.6551E-06 0.02508221 0.020350.02018 -0.00099 -1.1896E-05 -0.00100071 0.02408149 0.019540.03972 -0.00195 -1.0965E-05 -0.00195707 0.02212442 0.017950.05767 -0.00283 -9.2554E-06 -0.00283484 0.01928958 0.015650.07331 -0.00359 -7.0355E-06 -0.00359942 0.01569016 0.012730.08604 -0.00422 -4.6549E-06 -0.00422075 0.01146941 0.009300.09535 -0.00467 -2.4873E-06 -0.00467451 0.0067949 0.005510.10086 -0.00494 -8.7301E-07 -0.00494301 0.00185189 0.001500.10236 -0.00502 -6.4846E-08 -0.00501582 -0.00316393 -0.002570.09980 -0.00489 1.8928E-07 -0.00488979 -0.00805372 -0.006530.09326 -0.00457 1.22643E-06 -0.0045686 -0.01262232 -0.010240.08302 -0.00407 3.01252E-06 -0.00406506 -0.01668738 -0.013540.06948 -0.0034 5.26536E-06 -0.00339945 -0.02008683 -0.016300.05319 -0.00261 7.62912E-06 -0.0025986 -0.02268543 -0.018400.03478 -0.0017 9.73073E-06 -0.00169471 -0.02438014 -0.019780.01501 -0.00074 1.12389E-05 -0.00072405 -0.02510419 -0.02037

-0.00536 0.00026 1.19164E-05 0.00027457 -0.02482962 -0.02014-0.02550 0.00125 1.16571E-05 0.00126133 -0.02356829 -0.01912-0.04462 0.00219 1.05029E-05 0.00219706 -0.02137123 -0.01734-0.06196 0.00304 8.63596E-06 0.00304474 -0.0183265 -0.01487-0.07683 0.00376 6.35054E-06 0.00377096 -0.01455554 -0.01181-0.08864 0.00434 4.00597E-06 0.00434723 -0.01020831 -0.00828-0.09692 0.00475 1.97042E-06 0.00475099 -0.00545732 -0.00443-0.10135 0.00497 5.63132E-07 0.00496652 -0.0004908 -0.00040-0.10174 0.00499 4.5547E-09 0.00498547 0.00449467 0.00365-0.09810 0.00481 -3.8199E-07 0.00480641 0.00930109 0.00755-0.09055 0.00444 -1.6358E-06 0.00443543 0.01373651 0.01114-0.07941 0.00389 -3.5678E-06 0.00388744 0.01762395 0.01430-0.06511 0.00319 -5.873E-06 0.00318455 0.02080851 0.01688-0.04823 0.00236 -8.1872E-06 0.00235506 0.02316357 0.01879-0.02944 0.00144 -1.0145E-05 0.00143231 0.02459588 0.01995-0.00948 0.00046 -1.1439E-05 0.00045329 0.02504917 0.02032

0.01084 -0.00053 -1.1864E-05 -0.00054289 0.02450628 0.019880.03072 -0.00151 -1.1355E-05 -0.00151655 0.02298973 0.018650.04937 -0.00242 -9.9935E-06 -0.00242907 0.02056066 0.016680.06605 -0.00324 -7.9933E-06 -0.00324439 0.01731627 0.014050.08010 -0.00392 -5.6697E-06 -0.00393042 0.01338584 0.010860.09096 -0.00446 -3.388E-06 -0.00446025 0.00892559 0.007240.09820 -0.00481 -1.5063E-06 -0.00481318 0.00411241 0.003340.10153 -0.00498 -3.1978E-07 -0.00497547 -0.00086306 -0.000700.10083 -0.00494 1.40841E-08 -0.00494083 -0.00580388 -0.004710.09613 -0.00471 6.36926E-07 -0.00470949 -0.01051337 -0.008530.08760 -0.00429 2.08995E-06 -0.00429011 -0.01480348 -0.012010.07559 -0.0037 4.14361E-06 -0.00369959 -0.01850307 -0.015010.06058 -0.00297 6.4735E-06 -0.00296173 -0.02146481 -0.017410.04316 -0.00211 8.71175E-06 -0.00210623 -0.02357103 -0.019120.02404 -0.00118 1.05053E-05 -0.00116744 -0.02473848 -0.020070.00397 -0.00019 1.15717E-05 -0.00018298 -0.02492145 -0.02022

-0.01625 0.0008 1.17435E-05 0.00080787 -0.02411359 -0.01956-0.03581 0.00175 1.09945E-05 0.00176568 -0.02234791 -0.01813-0.05394 0.00264 9.44333E-06 0.0026525 -0.01969541 -0.01598-0.06992 0.00343 7.33469E-06 0.00343332 -0.0162621 -0.01319-0.08311 0.00407 5.0004E-06 0.00407743 -0.01218467 -0.00988-0.09300 0.00456 2.80724E-06 0.0045596 -0.00762507 -0.00619-0.09918 0.00486 1.09936E-06 0.004861 -0.00276407 -0.00224-0.10142 0.00497 1.44461E-07 0.00496992 0.00220585 0.00179-0.09963 0.00488 -9.2004E-08 0.004882 0.00708785 0.00575-0.09388 0.0046 -9.4991E-07 0.00459939 0.01168724 0.00948-0.08440 0.00414 -2.5827E-06 0.00413316 0.0158204 0.01283-0.07157 0.00351 -4.7325E-06 0.00350213 0.01932253 0.01568-0.05589 0.00274 -7.0596E-06 0.00273169 0.02205422 0.01789-0.03800 0.00186 -9.1968E-06 0.00185286 0.02390708 0.01939-0.01861 0.00091 -1.0807E-05 0.0009009 0.02480798 0.020130.00152 -7.4E-05 -1.1637E-05 -8.6092E-05 0.02472189 0.020060.02158 -0.00106 -1.1556E-05 -0.00106875 0.02365314 0.019190.04076 -0.002 -1.0579E-05 -0.00200803 0.02164511 0.017560.05832 -0.00286 -8.8587E-06 -0.00286674 0.01877837 0.015230.07356 -0.0036 -6.6676E-06 -0.00361102 0.01516735 0.012300.08586 -0.00421 -4.3498E-06 -0.00421164 0.01095571 0.008890.09475 -0.00464 -2.2695E-06 -0.00464506 0.00631065 0.005120.09987 -0.00489 -7.5301E-07 -0.00489441 0.00141624 0.001150.10102 -0.00495 -3.7925E-08 -0.00494999 -0.00353375 -0.002870.09815 -0.00481 2.36115E-07 -0.00480924 -0.008343 -0.006770.09138 -0.00448 1.31612E-06 -0.00447651 -0.01281951 -0.010400.08098 -0.00397 3.10738E-06 -0.00396512 -0.01678464 -0.013620.06737 -0.0033 5.32691E-06 -0.00329569 -0.02008032 -0.016290.05108 -0.0025 7.62417E-06 -0.00249516 -0.02257548 -0.01831

0.03276 -0.00161 9.63664E-06 -0.00159573 -0.02417121 -0.019610.01315 -0.00064 1.10471E-05 -0.00063347 -0.02480468 -0.02012

-0.00697 0.00034 1.16337E-05 0.00035315 -0.02445153 -0.01984-0.02681 0.00131 1.13048E-05 0.00132481 -0.02312672 -0.01876-0.04557 0.00223 1.0113E-05 0.00224295 -0.02088377 -0.01694-0.06251 0.00306 8.2465E-06 0.00307125 -0.01781252 -0.01445-0.07696 0.00377 5.99933E-06 0.00377708 -0.01403544 -0.01139-0.08835 0.00433 3.72481E-06 0.00433274 -0.0097027 -0.00787-0.09622 0.00471 1.78007E-06 0.0047165 -0.0049862 -0.00405-0.10026 0.00491 4.70101E-07 0.0049134 -7.2804E-05 -0.00006-0.10032 0.00492 1.00222E-10 0.00491582 0.00484302 0.00393-0.09639 0.00472 -4.4349E-07 0.00472286 0.00956588 0.00776-0.08863 0.00434 -1.7302E-06 0.00434131 0.01390719 0.01128-0.07735 0.00379 -3.657E-06 0.00378655 0.01769374 0.01435-0.06300 0.00309 -5.9196E-06 0.00308093 0.02077467 0.01685-0.04614 0.00226 -8.1606E-06 0.00225286 0.02302753 0.01868

i t zi c1zi c2Vi-1|Vi-1| delta Vi Vi delta de zi0 0 0 0 -4.101 10 -4.10 0.20078113 0 0.20078113 0.20078113 -3.934692 20 -8.03 0.39358085 -0.00076225 0.3928186 0.59359973 -3.616013 30 -11.65 0.57076532 -0.00666253 0.56410279 1.15770252 -3.158374 40 -14.81 0.72552568 -0.02534227 0.70018341 1.85788593 -2.590345 50 -17.40 0.85245248 -0.06526639 0.78718609 2.64507202 -1.95173

6 60 -19.35 0.94808721 -0.13228984 0.81579737 3.46086939 -1.289907 70 -20.64 1.01129252 -0.22647586 0.78481666 4.24568605 -0.653218 80 -21.29 1.04329994 -0.3408374 0.70246254 4.94814859 -0.083339 90 -21.38 1.04738321 -0.46295306 0.58443015 5.53257874 0.39079

10 100 -20.98 1.02823432 -0.57877092 0.4494634 5.98204215 0.7554311 110 -20.23 0.99121845 -0.67662872 0.31458973 6.29663187 1.0106412 120 -19.22 0.94169706 -0.74966649 0.19203057 6.48866245 1.1664313 130 -18.05 0.88454211 -0.79608942 0.08845269 6.57711514 1.2381914 140 -16.81 0.82387101 -0.81794176 0.00592926 6.58304439 1.24300

15 150 -15.57 0.76296421 -0.81941717 -0.05645296 6.52659144 1.19720

16 160 -14.37 0.70430152 -0.80542359 -0.10112207 6.42546937 1.11516

17 170 -13.26 0.64965861 -0.7806587 -0.13100009 6.29446927 1.00889

18 180 -12.25 0.60022319 -0.74915163 -0.14892843 6.14554084 0.88807

19 190 -11.36 0.55670795 -0.71412084 -0.15741289 5.98812795 0.7603620 200 -10.60 0.51945016 -0.67800615 -0.15855599 5.82957195 0.6317321 210 -9.97 0.48849525 -0.64257648 -0.15408123 5.67549072 0.5067322 220 -9.46 0.46366535 -0.60905754 -0.14539219 5.53009853 0.3887823 230 -9.07 0.44461505 -0.57825211 -0.13363706 5.39646147 0.2803724 240 -8.79 0.43087707 -0.5506424 -0.11976533 5.27669614 0.1832125 250 -8.61 0.42189998 -0.52647247 -0.10457249 5.17212365 0.0983726 260 -8.51 0.41707983 -0.50581219 -0.08873235 5.0833913 0.0263927 270 -8.49 0.41578696 -0.48860575 -0.07281879 5.0105725 -0.0326928 280 -8.52 0.41738876 -0.47470761 -0.05731885 4.95325366 -0.0791929 290 -8.60 0.42126909 -0.46390882 -0.04263973 4.91061393 -0.1137830 300 -8.71 0.42684443 -0.45595615 -0.02911172 4.88150221 -0.1374031 310 -8.85 0.43357701 -0.45056606 -0.01698905 4.86451317 -0.1511832 320 -9.00 0.44098494 -0.44743531 -0.00645038 4.85806279 -0.1564233 330 -9.16 0.44864928 -0.4462495 0.00239978 4.86046258 -0.1544734 340 -9.31 0.45621822 -0.44669048 0.00952774 4.86999032 -0.14674

35 350 -9.46 0.46340842 -0.44844345 0.01496497 4.88495529 -0.1346036 360 -9.59 0.47000374 -0.45120373 0.01880001 4.9037553 -0.1193537 370 -9.71 0.47585172 -0.45468337 0.02116835 4.92492365 -0.1021738 380 -9.81 0.48085822 -0.45861737 0.02224085 4.94716451 -0.0841339 390 -9.90 0.48498061 -0.46276893 0.02221167 4.96937618 -0.0661140 400 -9.96 0.48822004 -0.46693372 0.02128632 4.9906625 -0.0488441 410 -10.01 0.4906133 -0.47094251 0.01967079 5.01033329 -0.0328842 420 -10.05 0.49222461 -0.47466228 0.01756233 5.02789562 -0.0186443 430 -10.06 0.49313779 -0.47799571 0.01514208 5.04303771 -0.0063544 440 -10.07 0.49344905 -0.48087912 0.01256992 5.05560763 0.0038545 450 -10.07 0.49326062 -0.48327932 0.0099813 5.06558893 0.0119446 460 -10.05 0.49267542 -0.48518948 0.00748594 5.07307487 0.0180247 470 -10.04 0.49179264 -0.48662457 0.00516807 5.07824294 0.0222148 480 -10.01 0.49070443 -0.48761655 0.00308787 5.08133082 0.0247149 490 -9.99 0.48949346 -0.48820973 0.00128373 5.08261454 0.0257650 500 -9.96 0.48823146 -0.48845644 -0.00022498 5.08238956 0.0255751 510 -9.94 0.48697841 -0.4884132 -0.00143479 5.08095477 0.0244152 520 -9.91 0.48578239 -0.48813747 -0.00235509 5.07859968 0.0225053 530 -9.89 0.48467999 -0.48768506 -0.00300508 5.07559461 0.0200654 540 -9.87 0.48369704 -0.48710809 -0.00341105 5.07218356 0.0172955 550 -9.85 0.4828497 -0.48645359 -0.0036039 5.06857966 0.0143756 560 -9.84 0.48214561 -0.48576257 -0.00361696 5.06496271 0.0114357 570 -9.83 0.48158531 -0.48506953 -0.00348422 5.06147848 0.0086158 580 -9.82 0.4811635 -0.48440239 -0.00323889 5.05823959 0.0059859 590 -9.81 0.48087046 -0.48378264 -0.00291219 5.0553274 0.0036260 600 -9.81 0.48069317 -0.48322575 -0.00253258 5.05279483 0.0015661 610 -9.81 0.48061656 -0.4827417 -0.00212514 5.05066968 -0.0001662 620 -9.81 0.48062443 -0.48233572 -0.00171129 5.04895839 -0.0015563 630 -9.81 0.48070032 -0.48200892 -0.0013086 5.0476498 -0.0026164 640 -9.81 0.48082824 -0.4817591 -0.00093086 5.04671894 -0.00337

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