close

Вход

Забыли?

вход по аккаунту

?

Учебное пособие Курсовая работа

код для вставкиСкачать
???????????? ??????????? ?? ?????????? ??????????? ???????? (??????????????? ??????????? ???????????) ?????? ??????? ????????????? ????? ? ?????????????? ? ?????????? ???????
??????? ???????
?????????? ?? ????????? ?????????
?????????? ? 3 ??????
???????????? ???
2003 ?.
621.3(075)
?456
??? 621.3.011.1(075.8)
??????: ?.?. ???????, ?.?. ??????????
?????? ??????? ????????????? ????? ? ?????????????? ? ?????????? ??????? /?.?. ???????, ?.?. ??????????, - ?.: ???-?? ???, 2003.
??????????????? ???????? ????? ??????? ?? ??? ??????? ????????????? ???? ? ?????????? ??????????? ??????????????. ?????????? ??????? ???????? ???????, ???????????? ???????????? ? ???????? ???????????? ???????????, ?????????????? ??? ??????? ????????????? ???? ? ??????? ?????? MathCad.
??????? ????????????? ??? ????????? ?????????????????? ? ??????????????????? ??????????????, ????????? ????? "????????????? ?????? ??????????????", "????? ??????????????", ?????????????? ? ?????????????????????". ??? ????? ???? ???????????? ????? ?????????? ?????? ?????????????? ??? ?????????? ???????? ????? ? ???????? ??????? ?? ?????????????????? ??????????????.
???????????
?????? ????????????? ???????? ? ?????????? ????? ? ?????????????? ? ?????????? ??????? ????? ????????? ? ??????? ????????? ??????????? ?????????, ????????, Design Center, Work Bernch, Lab View, Mat Lab ? ??????. ?????? ??????? ?????? ???????? ?????? ?? ????????????? ?????????????? ??????????????? ?????? ???? ????? ? ?????????? ? ??????? ???? ? ???????? ? ??????????? ???? ? ????????? ??????? ???????? ? ??????? ??????? ?????????. ???????, ?????? ?????? ???????? ?????? ????? ? ??????? ????????????? ???? ????????, ??, ?? ?????? ??????, ???????? ?????? ???????? ?????? ????? ???? ????????? ? ?????? MathCad, ??????????? ????????????? ???????? ? ??????????? ?????????? ? ?????????????? ? ?????????? ???????.
???????? ??????? ?????????? ????????????? ? ??????? ????????????? ???? ? ????? ?????????? ?????????? ? ??????????? ??????????? ??????? ?????????? ????. ??? ????????? ? ???????? ?????? ?????????? ?????? ?????????? ???? ? ?????????????? ?????? ???????? ? ??????? ????????? (????- ??? ?????????????) ???? ?? ?????????? ????, ??????? ??????????? ????????????? ??? ????? ?????? ????????? ??????? ??????????? ???????. ?? ??? ??????????? ?????? ??????? ???????? ???? ?? ?????????????? ???? ? ?????????????? ?????? ? ? ?????????? ????????.
????????, ??? ?????????? ?? ????????????? ????? ? ?? ?????????? ?????? ??????? ????????? ??????? [1]: ????????????? ????? ? ????????? ????? ????. ????? ?? ?????????? ????????? ??? ?????????? ?????????, ??????????????? ?????? ??????? ??????????? ? ?????? ????????? ????? [2]. ????? ?????? ???????? ????????????? ????? ?????? ??? ??????? ???? ? ??????? ?????? ???????? ? ?????. ?? ?? ???????? ???????? ?????? ??????????? ????????????? ??????????? ????????? ?? ?????? ??????? ??????????? ??????? ? ???????? ?? ? ????????? ???? ? ???. ?????????? ??????? ???????????? ????????? ?? ?????? ???????????? ?????????. ??????? ????????? ????????? ?????????????? ? ??????? ??????????? ?????????? ? MathCad.
????? ?????? ?????????, ? ????? ???????, ??????????? ???? ?????? ?????? ????????????? ?????, ? ? ??????, ?????????? ????????? ?? ????????????? ???????????????? ? ????????? ???????? ??????????? ???????, ???????? ??? ????? ??? ??????????? ?????? ?? ??????????????. ??? ?????????? ???????? ?????? ? MathCad ?????????? ????? ?????? ?????? ?????????? ????? ?????? ? ?????? ???????????? ??????????? ?????????. ??????? ?????? ?? ?????????????? ??????????? ??? ????????????? ??????????? ??????? ?? ??? ??? ???????? ?????????????????? ???????, ??? ?????????? ????????? ?????????, ??????? ?????????? ????????? ??? ?????? ???????? ??????
????????? ??????? ????????????? ??? ?????????, ????????? ???? "????????????? ?????? ??????????????" ? ??????????? ???????? ??????, ????????????? ???????? ??????? ????? ?????, ? ??????:
* ?????? ?????????? ???? ?? ?????????? ????;
* ?????? ???????? ???? ?? ?????????????? ????;
* ?????? ?????????? ????????? ? ???????? ????.
????? ???????? ?????? ???????? ???????? ????????? ???????????? ??????? ??????? ????????????? ?????, ? ????????????? ???????, ??? ???????, ??? ? ? ??????? ?????????????? ???????. ???????? ??????? ??????? ? ??????? 1. ???????????? ???????? ??? ?????????? ???????? ??????? ????????? ? ??????? 2
?????????? ?????? ?????????????? ?? ??????? ???????. ????????? ???? ???????? ? ?????????? 1. ??? ????????????? ????? ????????????? ? ???????????? ? ???? 1494-94. ??????????? ??????????? ???? ?? ?????????? ? ??????? ?????? ???????????? ????????? ??? ??????? ?????????? ????????, ??????? ? ????????? ? ?????????.
????????? ??????? ?????????? ???????? ?????? ?????????, ? ?????? ?????????????, ???????? ??????? ?? ?? ??????????, ???????? ????? ???????? ? ???????????? ? ??????? ?????????? ?????. ? ?????? ???????? ?????? ?????????? ?? 16 ?????????? ????? ? 40 ????? ??????????????? ??????.
1. ??????? ?? ???????? ??????
???? ????????? 180 ????????? ??????? ?? ???????????? ?????????? ????????????? ????? ? ??????????? ??????? ?????????? ????. ??? ???????? ????? ???? ????????? ??? ???????? ???????????? ? ???????? ??????? ??? ???????? (????????-???????????) ??????.
??????????????? ???????????? ???????????? ??????????? ? ??????? 2.
?????????? ??????
??????????? ????????????? ???? ? ?????????? ??????????, ? ??????? ????????? ?????????? ???????? ??? E ? ????????? ?????????? ?????????????? ??? e=Emsin(wt+ye) ? ??????????? ??????????????? ???? i=Imsin(wt+yi) ? ???????? f =400 ??. ????? ???? ????????? ?? ???. 1.1 - 1.30, ????????? ????????? ???? - ? ??????? 1.1, ?????-???????? ?????????????? ?????????? ?????????? (??? ??) - ? ??????? 1.2.
???.1.1???. 1.2???. 1.3
???.1.4???. 1.5???. 1.6
???. 1.7??? 1.8??? 1.9
??? 1.10???. 1.11??? 1.12
??? 1.13??? 1.14???. 1.15
??? 1.16??? 1.17??? 1.18
???. 1.19???. 1.20???. 1.21
???. 1.22???. 1.23???. 1.24
???. 1.25???. 1.26???. 1.27
???. 1.28???. 1.29???. 1.30
??????? 1.1
????? ????????????? ???????E, BE?, ?I?, Aye, ????yi, ????R1, ??R2, ??R3, ??R4, ??L1, ??L2, ???1, ????2, ?????? ??1234567891011121314151611,1140120,1052530202810205,0010,00121,2140120,130352732223012225,039,97231,3140120,160652934243214245,069,94341,4140120,190953136263416265,099,91451,5140120,11201253338283618285,129,88561,6140120,11501553540303820305,159,85671,7140120,11801853742324022325,189,82781,8140120,1-150-1453944344224345,219,79891,9140120,1-120-1154146364426365,249,769101,10140120,1-90-854348384628385,279,7310111,11140120,1-60-554550404830405,309,701121,12140120,1-30-254752425032425,339,672131,13140120,1054954445234445,369,643141,14140120,130355156465436465,399,614151,15140120,160655358485638485,429,58512345678910111213141516161,16140120,190955560505840505,459,556171,17140120,11201255762526042525,489,527181,18140120,11501555964546244545,519,498191,19140120,11801856166566446565,549,469201,20140120,1-150-1456368586648585,579,4310211,21140120,1-120-1156570606850605,609,401221,22140120,1-90-856772627048585,639,372231,23140120,1-60-556974647246565,669,343241,24140120,1-30-257176667444545,699,314251,25140120,145507378687642525,729,285261,26140120,145507580707840505,759,256271,27140120,145507782728038485,789,227281,28140120,145507984748236465,819,198291,29140120,130358186768434445,849,169301,30140120,130358388788632425,879,1310311,1100100,330358590808830405,909,101321,2100100,3058792829028385,939,072331,3100100,31501558994849226365,969,043341,4100100,31201259196869424345,999,014351,5100100,390959398889622326,028,985361,6100100,3606595100909820306,058,956371,7100100,305971029210018286,088,92712345678910111213141516381,8100100,33035991049410216266,118,898391,9100100,360651011069610414246,148,869401,10100100,390951031089810612226,178,8310411,11100100,312012510511010010810206,208,801421,12100100,30510711210211012226,238,772431,13100100,3152010911410411214246,268,743441,14100100,3303511111610611416266,298,714451,15100100,3455011311810811618286,328,685461,16100100,3606511512011011820306,358,656471,17100100,3758011311810811622326,388,627481,18100100,3909511111610611424346,418,598491,19100100,310511010911410411226366,448,569501,20100100,312012510711210211028386,478,5310511,21100100,313514010511010010830406,508,501521,22100100,31501551031089810632426,538,472531,23100100,31651701011069610434446,568,443541,24100100,3180185991049410236466,598,414551,25100100,3190195971029210038486,628,385561,26100100,320521095100909840506,658,356571,27100100,32202259398889642526,688,327581,28100100,32352409196869444546,718,298591,29100100,32502558994849246566,748,26912345678910111213141516601,30100100,32352408792829048586,778,2310611,18030,22252308590808850606,808,201621,28030,22152208388788610206,838,172631,38030,22052108186768412226,868,143641,48030,21952007984748214246,898,114651,58030,21851907782728016266,928,085661,68030,21751807580707818286,958,056671,78030,21651707378687620306,988,027681,88030,21551607176667422327,017,998691,98030,21451506974647224347,047,969701,108030,21351406772627026367,077,9310711,118030,21251306570606828387,107,901721,128030,21151206368586630407,137,872731,138030,21051106166566432427,167,843741,148030,2951005964546234447,197,814751,158030,285905762526036467,227,785761,168030,275805560505838487,257,756771,178030,265705358485640507,287,727781,188030,255605156465442527,317,698791,198030,245504954445244547,347,669801,208030,235404752425046567,377,6310811,218030,225304550404848587,407,60112345678910111213141516821,228030,215204348384650607,437,572831,238030,25104146364448587,467,543841,248030,2-503944344246567,497,514851,258030,2-15-103742324044547,527,485861,268030,2-25-203540303842527,557,456871,278030,2-35-303338283640507,587,427881,288030,2-45-403136263438487,617,398891,298030,2-55-502934243236467,647,369901,308030,2-65-602732223034447,677,3310911,1120100,2-75-702530202832427,707,301921,2120100,2-85-802732223030407,737,272931,3120100,2-95-902934243228387,767,243941,4120100,2-105-1003136263426367,797,214951,5120100,2-115-1103338283624347,827,185961,6120100,2-125-1203540303822327,857,156971,7120100,2-135-1303742324020307,887,127981,8120100,2-145-1403944344218287,917,098991,9120100,2-155-1504146364416267,947,0691001,10120100,2-165-1604348384614247,977,03101011,11120100,2-175-1704550404812228,007,0011021,12120100,2-185-1804752425010208,036,9721031,13120100,2-195-1904954445212228,066,943123456789101112131415161041,14120100,2-205-2005156465414248,096,9141051,15120100,2-215-2105358485616268,126,8851061,16120100,2-225-2205560505818288,156,8561071,17120100,2-235-2305762526020308,186,8271081,18120100,2-245-2405964546222328,216,7981091,19120100,2-255-2506166566424348,246,7691101,20120100,2-265-2606368586626368,276,73101111,21120100,2-275-2706570606828388,306,7011121,22120100,2-285-2806772627030408,336,6721131,23120100,2-295-2906974647232428,366,6431141,24120100,2-305-3007176667434448,396,6141151,25120100,2-315-3107378687636468,426,5851161,26120100,2-325-3207580707838488,456,5561171,27120100,2-335-3307782728040508,486,5271181,28120100,2-345-3407984748242528,516,4981191,29120100,2-355-3508186768444548,546,4691201,30120100,2-345-3408388788646568,576,43101211,1140120,1-335-3308590808848588,606,4011221,2140120,1-325-3208792829050608,636,3721231,3140120,1-315-3108994849210208,666,3431241,4140120,1-305-3009196869412228,696,3141251,5140120,1-295-2909398889614248,726,285123456789101112131415161261,6140120,1-285-28095100909816268,756,2561271,7140120,1-275-270971029210018288,786,2271281,8140120,1-265-260991049410220308,816,1981291,9140120,1-255-2501011069610422328,846,1691301,10140120,1-245-2401031089810624348,876,13101311,11140120,1-235-23010511010010826368,906,1011321,12140120,1-225-22010711210211028388,936,0721331,13140120,1-215-21010911410411230408,966,0431341,14140120,1-205-20011111610611432428,996,0141351,15140120,1-195-19011311810811634449,025,9851361,16140120,1-185-18011512011011836469,055,9561371,17140120,1-175-17011311810811638489,085,9271381,18140120,1-165-16011111610611440509,115,8981391,19140120,1-155-15010911410411242529,145,8691401,20140120,1-145-14010711210211044549,175,83101411,21140120,1-135-13010511010010846569,205,8011421,22140120,1-125-1201031089810648589,235,7721431,23140120,1-115-1101011069610450609,265,7431441,24140120,1-105-100991049410248589,295,7141451,25140120,1-95-90971029210046569,325,6851461,26140120,1-85-8095100909844549,355,6561471,27140120,1-75-709398889642529,385,627123456789101112131415161481,28140120,1-65-609196869440509,415,5981491,29140120,1-55-508994849238489,445,5691501,30140120,1-45-408792829036469,475,53101511,16020,8-35-308590808834449,505,5011521,26020,8-25-208388788632429,535,4721531,36020,8-15-108186768430409,565,4431541,46020,8-507984748228389,595,4141551,56020,85107782728026369,625,3851561,66020,815207580707824349,655,3561571,76020,825307378687622329,685,3271581,86020,835407176667420309,715,2981591,96020,845506974647218289,745,2691601,106020,855606772627016269,775,23101611,116020,865706570606814249,805,2011621,126020,875806368586612229,835,1721631,136020,885906166566410209,865,1431641,146020,8951005964546212229,895,1141651,156020,81051105762526014249,925,0851661,166020,81151205560505816269,955,0561671,176020,81251305358485618289,985,0271681,186020,813514051564654203010,014,9981691,196020,814515049544452223210,044,969123456789101112131415161701,206020,815516047524250243410,074,93101711,216020,816517045504048263610,104,9011721,226020,817518043483846283810,134,8721731,236020,818519041463644304010,164,8431741,246020,819520039443442324210,194,8141751,256020,820521037423240344410,224,7851761,266020,821522035403038364610,254,7561771,276020,822523033382836384810,284,7271781,286020,823524031362634405010,314,6981791,296020,824525029342432425210,344,6691801,306020,825526027322230445410,374,6310 ??????? 1.2
????? ??? ???????????? U, ?0102030405060708090100110120130140??? i,?100,180,340,510,670,820,971,101,211,321,411,471,511,561,56200,040,120,230,360,490,650,081,001,191,401,611,842,072,32300,60,91,161,141,561,751,922,082,232,242,512,662,782,90400,070,150,220,300,390,480,580,690,810,951,111,311,571,90500,630,941,231,421,551,651,721,771,821,861,891,911,931,95600,050,10,160,220,290,360,470,740,91,111,361,911,672,05700,230,450,670,871,061,231,391,631,681,751,841,921,982,04800,020,050,090,140,220,30,40,530,690,891,151,451,832,28900,020,100,160,220,280,360,440,540,660,811,021,341,873,011000,30,580,841,081,291,461,621,751,871,962,052,132,192,25 ??? ????? ???????? 1 ??? 2 ?????, ?????????? ??????? ?????????? ?????????????? ????? ? ??? ????? ??????? ????????. ? ?????? ???????? ????? ??????? ???? ?????????? ????????, ???? ?????????? ???????? ???, ???? ?????????????? ???????? ??? ? ???? ?????????????? ???????? ????.
?? ???. 1-30 ????? ????????? ? ???????????????? ?????????. ? ???? ????????? ?????????????? ?????????????? ?????, ? ????? ?????????? ? ????? ????????? ?????????????? ?????????? ?????. ?????????? ???????? ?????????? ???????? ????? ?????? ??? ??????????? ??????????????. ???????????? ????????????? ?????????????? ?????????????? ? ??????? ????? ????? ??????? ?????????? ???? ? ???????????????? ?????? ?? ?????????? ????.
??????? 1. ?????? ??????????????? ??????
? ???????? ??????? ??????? ??????????? ???? ? ???????????????? ??????. ??? ???????????? ????? ?????????? ???? ????????????????? ????. ?????? ??????????????? ?????? ? ??? ????? ???? ???????? ?????? ??????????? ?? ?????? ???? ?????????. ? ?????? ? ???????? ????? ????????? ??????? ?????????:
- ??? ??? ?? ???????? ??????? (??. ??????? 1.1) ??????? ????????? ?????????? ??? ? ?? ????????????????? ? ???? ??????????? ??????, ??? ??????? ?????????????? ??? ? ????, ?? ?????????? ????? ?????????? ?? ?????? ?????;
- ???? ???????? ???????????? ??? ??, ?? ???? ?????????? ???????? ? ? ??? ???????? ??????? ?????????, ? ?????????? ???? ????????????????? ????? ???? ?????????? ????? ???????? ?????????? ? ?????????????? ???????????? ????? ? ?????? ????.
??????? ??????????????? ?????????? ???????????? ?????? ??????????????? ?????? ? ???????? ???? ? ?????????? ?????????? ? ?????? ???????? ???? (? ??????????????? ??? ??????????? ?????????) ? ??????????????? ??????????? ??????? ??? ??????????? ????????? ???.
1.1. ????????, ??? ??? ???????? ???? ??????????? ??????? ? >>Em, E>>ImZ, ??? Z - ?????? ????????????? ?????, ???????????? ????????? ????, ?????????? ?????????????? ????? ? ?????????? ???? ?? ?????????? ???:
- ????????? ????? ???? ?? ?????????? ????;
- ??? ???????? ?????????? ????????? ????? ?????????? ?? ????????????? ?????????????? ??????????? ????????? ????????? ??????? ?????
- ??????? ???????? ????????????? ? ????, ????????, ????? ??????? ????? ?????????? ?? ?????? ????????????? ?????????????? (? ????? ? ???????????? ?????? ???????????);
- ??? ????? ? ??????????? ??????????? ????????? ????????? ???? ? ?????? ? ?????????? ?? ????????? ?????????, ????????? ???????????? ???????, ??????? ?????? ???????? ? ???????? ?????? ????????? (? ??????? ????????? ????????? ? ???????????? ???????? ??????);
- ???????? ???????????? ????????????? ?????????????? ??????????? ????????? ? ?????????? ??????? ?????, ????????? ??????????? ? ???????????????? ?????????????.
1.2. ?????????? ?????????????? ????? ? ??????????????? ????????????? ???? ? ?????????? ?????????? ?????????? ????????? ????????? ? ? ?????? ???? ?????????? ???????:
- ????????? ????? ??????????????? ????????????? ????;
- ????????, ??? ?????????? ???? ???????? ???????? ????? ?????????????? ????????????????? ????, ?????????? ???????????? ????? ? ?????? ? ?????????? ?? ????????? ?????????, ????????????? ??????????? ?????????? ???;
- ???????? ?? ????? ????????? ?????????? ???, ???????? ????????? ??? ???? ? ??????????? ????? ?? ??????? ????????? ????? ? ??????? ?????????? (? ???????????? ???????? ??????);
- ?????????? ?? ?????????? ???????????? ????? ? ?????? ? ?????????? ?? ????????? ?????????, ????????????? ??????????? ?????????????? ??? ? ????, ????????? ???????????? ???????, ???????? ?????? ????????? (? ??????? ????????? ??????????? ? ???????????? ???????? ??????);
- ??? ???????, ??????????? ????? ? ?????????? ?????????????? ??? ? ??????????? ????????? ????? ?????? ? ??????????? ??????????, ????????? ????????? ????????????? ?????????, ??????????? ? ????????? ?????????? ?????;
- ???????? ? ?????????? ???????? ????? ? ?????? ? ?????????? ?? ????????? ????? ??????????????? ???? ? ?????? ???????? ???? ?????????? ???????;
- ????????? ??????? ????????? ?????????? ???????? ???? ? ?????????? ? ??????????????? ???? ??? ????? ? ?????????? ?????????????? ? ????? ?? ?????? ? ?????????? ?????????.
??????? 2: ?????? ??????????? ??????.
2.1. ????????, ??? ? ?????????? ?????????? ????? ???????? ????????????? ???? ??????????? ?? ??? ??????????? ?????, ?????????? ?????????? ??????? ? ????? ????? ? ?????????? ?????????? ???:
- ????????? ????? ??? ??????????? ????? ????????????? ????;
- ?? ??????? ??????????????? ?????? ? ???????? ???? ?????????? ??????????? ????????? ???????;
- ????????? ??? ? ????????????? ? ?????????? ?? ???????;
- ???? ?????????????? ??????????? ???????? ? ???? ? ?????????? ??? ????????????;
- ????????? ???????????? ??????? ??????????? ???????? ?? ??????????;
- ?? ??????????? ????????, ??????????? ?? ?????????? ? ???????, ????????? ?????? ??????? ??????? ?? ?????????? ;
- ???????? ?????????? ???????? ??????????? ???????? ? ?????, ?????????? ?? ?????????? ? ???????;
- ?????????? ????????? ???? ? ?????????? ? ????? ?? ??????????.
2.2. ?????????? ?????????? ??????? ? ????? ???????? ????? ? ??????????? ?????????????? ??? ? ????:
- ????????? ????? ??? ??????????? ????? ????????????? ????;
- ?? ??????? ??????????????? ?????? ? ???? ?????????? ??????????? ????????? ???????;;
- ???? ?????????????? ??????????? ???????? ? ???? ? ?????????? ??? ????????????;
- ???????? ????????? ??? ???????????? ??????????? ???????? ?? ?????? ???????????? ?????????;
- ?????????? ???????? ?????????????? ???? ? ?????????? ? ????? ? ?????????? ???????? ?? ?????????? .
2. ???????? ?????????? ???????? ??????.
??? ????????????? ????? ???????? ?????, ??????? ?????? ? ?????????? ?????????????. ??????????? ? ????????????? ??????????? ???????? ????? ?? ??? ? ??????? ?????? ???????????? ?????????.
?? ?????? ????????????? ????????????? ??????????? ?????, ?????? ?????. ???? ?? ????? ??????? ????? ? ??????? ???????????. ?????????? ??????? ???? V0.
????????????? ??? ? ????? ? ?????????? ??? ??????? ??????????? ? ???????????? ???. ??? ? ?????, ???????????? ????????? ????, ????????? ? ??????????????? ??????????? ?? ????????? ? ????????? ???? (???????????? ?????? ????).
??? ???????????? ???????? ????? ???????????????? ?? ??????? ??????? ????? ???????? 24 (???. 1.24). ??? ????? ? ????????????? ?????, ?????????? ????? ? ?????? ????????? ?? ???.2.1.
???. 2.1
??? ???? ?????????????? ?????????? f = 400 ?? ?, ?????????????, w = 2512 ?-1.
?????????????? ??????????? ????????????? ????????? ? ??????? 1.
2.1 ?????? ?????????? ???? ?? ?????????? ????.
???????????? ???????????????? ????? ?? ?????????? ????. ??? ?????????? ?? ???????? ????? (???.2.1) ????? ????????????? ??????????????? ????????? ??? ? ??????????????, ????????? ??????????????? ????????? ???? ? ????????. ? ????? ???????? ???? ?????????? ???????? ??? ? ???? ???????? ????????????? ? ?????????? ????????. ????????, ?? ????? ?? ???.2.1 ?????????? ?????, ?????????????? ?? ???.2.2.
???.2.2
???? ????? ?????????????? ???????? ????? ?????????? ?? ????????????? ?????, ?? ?? ????????? ?????? ?????????????? ?????????? ???????? ????? ??????????????? ????? ????? ???? ???????? ???????????????? ??????????? ????????? ????????????? ????????? ???, ??????? ????????? ? ?????????? ?????????? ???????? ???????????????? ??????, ??????????? ,??????????????? ?? ???.2.2 [2].
?????? ?????????? ???? ?? ?????????? ???? ?????????????? ??????????? ??????? [3]. ?? ???.2.3 ???????? ?????? ????? ?? ???. 2.2. ?????? 1- ????????????? ?????????????? ??????????? ?????????????, ?????? ?? ??????? 2 ??? ???????? 24 .??????????? ?????? 1 ? ?????? 2 ???? ???????? ???? I=0,48A ? ?????????? ?? ?????????? ????????????? R? ?????? U?=4,7 B.
???.2.3
???????????? ??????????? ????????? ??????????? ? ?????? ??????????? ????????????? ???????? ? ??????????????? ??????????? ? ???? ?????? ????? ?????? ????????? ? ????? ??????????? ?????? 1 ? ?????? 2 .? ?????????? ???????? ?????? 3 .??? ?????? ????????????? ????????????? Rn = 10 ??, I = 0,48 A.
?? ???????? ????????????? ? ???????? ??????? ????? ????? ??????? ????? ?? ?????? ?????? 1, ??? ???????? ??????????? ?????????? ???????? ??????????? ?????????. ????? ??????? ,?? ?????????? ????:
I7=I1=0,48 A, URn=4,8 B, UR1=0,48*75=32 B
3. ???????????? ???????????? ? ??????? ???? ?? ???
3.1. ?????? ????? ? ?????????? ? ???????????????? ???? ? ?????????????? ??????
???????????? ????? ???? ??? ??????? ??????????????? ?????? ? ???????????????? ????? ? ?????????????? ??????. ????? ?????????? ?? ?????, ?????????????? ? ???????, ??????????? ??????????? ????????? ??? ? ??????? ??????????? ????????? ???????? ?????????????? Rn .
??? ??? ?????? ?? ??? ?????????????? ?? ?????? ??????? ???????????,?? ????????????? ????????????????? ?????? ????????????? ?????? .?????? ????? ??????????? ???????????? ??????? ??????????? ? ??????? ?????. ??? ????? ?? ???.2.1 ?????: Y1=1/R1, Y2=1/jwL2, Y3=1/R3, Y4=1/R4, Y5=1/R5, Y6=jwC1, Y7=1/(Rn +jwL1), Y8=jwC2.
? ????????? ????? ???????? ?? ?????? ??????? ??????????? ????? ???:
Y*U=v ,
??? Y- ??????? n � n , ??? n - ????? ????? ( ?? ?????? ???????? ),
U - ??????, ?????????? ????????, ???????? ??????????? ?????????? ?????,
v - ?????? , ?????????? ????????, ???????? ?????????????? ????? ?????, ??????????? ? ????.
?? ????????? ??????? Y ????????????? ????? ????????????? ,???????????? ? ????? , ? ????????? ???????? ???????????? ????? ????? ????????????? ?????? ????? ?????? , ??????? ?? ?????? ????? . ????????, ??????? Y23=Y32 ????? ????? ????????????? ?????? ????? ?????? 2 ? 3 ?? ?????? ????? .
??? ????? ?? ???.2.1 ?????: Y2+Y3+Y8 -Y2 0 -Y5-Y8 -Y2 Y1+Y2+Y3+Y7 -Y1-Y7 0 Y= 0 -Y1-Y7 Y1+Y6+Y7 0
-Y5-Y8 0 0 Y4+Y5+Y8
E * Y8 - I
I
v= 0
-E * Y8
??????? ?????????? ????????? ?????????????? ????? ????? ??????? Y ? ??????? v ? ??????? ????????? [5] U=lsolve ( Y , v ) ??? U =Y-1 * v ?? ????????? ??????????? ????? ?????????????? ???? ? ??????. ??? ????? ?? ???. 2.1 ?????: I1 = ( V2 - V3 ) * Y1 ;
I2 = ( V2 - V1 ) * Y2 ; I3 = V2 * Y3 ;
I4 = V4 * Y4 ;
I5 = ( V1 - V4 ) * Y5 ;
I6 = V3 * Y6 ;
I7 = ( V2 -V3 ) * Y7 ;
I8 = ( V4 + E - V1 ) * Y8 ; ????????????? ? ????????? ????????????? ?????? ??????????? ? ??????????? ???????? ????? ? ????????? ???????? ??? ?????. ?? ????????? ???? ?????? ????????? ?????????? ???????? ????? ? ?????? ? ?????? ????? ?? ??????????? ????????? ???.
???????????? ??????? ????? ??????????? ???????????? ????????? ?? ??????? ?????? ???????? ? ??????????? ????? ??? ???? ?????.
?????? ???????? ???????????? ??????? ??????? ? ??????????? ??????? ????????? ??? ????? ????? ??? ??????????? ????????? ???. ??????????????? ?????? ?????????, ?????????? ??????????? ???????:
S=Se+Si ,
Se=E*Ie ,
Si=U*I ,
??? Se - ??????????? ????????, ?????????? ?????????? ???,
Si - ??????????? ????????, ?????????? ?????????? ????,
Ie - ??????????-??????????? ???????? ????, ???????????? ?? ????????? ??? (??????????????, ??? E ? Ie ????? ?????????? ???????????),
U = ?????????? ?? ??????? ????????? ????,
I = ??????????-?????????? ???????? ???? ????????? ???? (??????????????, ??? ??????????? I ? U ?????????????? ???????????? ?? ?????? ????).
????????, ???????????? ?????????? ??????????, ????????? ?? ????????:
P = SIk2Rk , ??? Ik - ??????????? ???????? ???? ? ????????????? Rk , n - ????? ???????? ????????????? ? ????,
Q = S(Ik2XLk - Ik2XCk ),
???Ik ??????????? ???????? ????? ? ?????????????? Lk ? ???????? Ck.
??? ?????????? ??????? ???? ??????????? ?????????:
Real S = P, Im S = Q.
????? ?????????? ?????????? ??? ?????????? ?? ????????? ????????? ? ??????????? ????? ?? ????????:
Uk =Ik/Yk, k= 1,...,n,
??? n - ????? ??????.
?? ?????????? ???????????? ???????? ?????????? ? ????????? ?????????? ????????????? ?????? ???????????? ? ???????????? ???????? ?????????? ? ?? ????????? ???. ?? ???? ?????? ???????????? ?????????? ???????? ??????????. ??? ???? ?????????? ?????? ??????? ?????????? ?? ????????? ?? ??????????? ????????? ???, ????????? ?????.
? ?????????? ??? ??????? ?????????? ????????? ??????????? ??????????? ????????? ???????: ???? ? ?????????????? ? ?????????? ?? ???????? ??? t =0. ????????, ??? ????? ?? ??????? 2.1 ??? ??????? ??????????????? ?????? ???? ????????:
iL1 = i2.=1.08*sin(2512t - 0.377) A,
iL2 = i7 = 0.013sin(2512t + 0.957) + 0.47 A,
uC1 = u6 = 4.482sin(2512t + 0.439) - 35.29 B
uc2 = u8 = 2.694sin(2512t + 0.208) B.
????????? ? ??? ??????? t = 0, ??????? ??????????? ????????? ???????:
i2(0) = - 0.04 A,
i7(0) = 0.481 A
u6(0) = -33.385 B,
u8(0) =0.556 B.
3.2. ?????? ??????????? ???????? ? ???? ? ?????????? ?????????? ???
? ???????? ???? ?????????????? ?????????? ??????, ????? ??????? ???? ??????????? ?? ??? ??????????? ???? ?? ????? ????, ? ????? ?? ??????? ?????? ?????????? ???????? ???, ? ? ?????? - ??? ?????????????? ?????????. ?????????? ???????? ??????? ??????????? ???????? ? ???? ? ?????????? ?????????? ???. ??? ??????? ?? ??? ??????????? ???????????? ????????? ??????? ? ??????????????? ???????????? ??????????? ????????.
??????????? ????????? ??????? ???? ??????? ????. ?? ??? ???????? ?????? ??????? x0. ??? ?????? ??????? ????????????? ? ??????? ????????? ? ?????? 7 ? 6, ??????????????, ??????? ?????? ????????? ??????? ????? ???:
i7(0) 0.48
x0 = u6(0) = - 33.48
??? ?????? ???????????? ??????????? ???????? ?????????? ????? ????? ??????????????????? ?????????. ??? ????? ???????????? ??????????? ????????????? Z(p) ???????????? ????? ???? ??????? ???? (???.2.4) ???. 2.4
?????????? ????????? ????????????? ? ??????-???????????? ???????
M(p) a0p2 +a1p +a2 Z(p) = = N(p) b0p2 +b1p +b2 C??????????? ??????V
V = [a2 a1a0] T ? ? ??????? ?????????
Polyroots(V)
????????? ????? ??????????????????? ?????????. ???????????? ??????????? ???????? t? ????????? ?? ???????????? ???????
t = 4/Real pk ??? pk ? ??????? (?? ??????) ???????????? ??????.
??? ???????????????? ??????????? ???????? ? MathCad [5] ????????????? ????????? ????????? ?? ?????? ???????????? ?????????, ?.?. ???????? ????????? ???????? ? ????? [4]
? dX/dt = AX + BV, Y = CX + DV,
??? X ??????, ??????????, ??????? ??? ? ????????????? ? ?????????? ?? ???????
X = [ i7 u6] T V - ?????? ?????????? ???????
V = [ e i ] T .
??????? A,B,C,D ????????? ?? ????????? ????????, ???????????? ??? ?????????? ???????? ????? ? ??????????. ?? ?????????? ???????????? ????????? ???????????? ?????? ??????? D1
a11X1 + a12X2 +b11e + b12i D1=AX+BV = a21X1 + a22X2 + b21e +b22i
?????? ??????????? ???????? ?????????????? ? ??????? ?????????
Z = rkfixed(x0,t0,tn,N,D1) t0 - ????????? ?????? ??????????? ?????? (t0 = 0), N - ????? ?????, ? ??????? ????????????? ?????????? ??????? (?????? ?????????? ???????? N =150 - 200),
Z - ???????, ????? ????? ??????? ????? N. ? ?????? ??????? ??????????? ???????? t, ?? ?????? - ???????? ???????X (i7), ? ??????? ??????? - ???????? ??????? ???????? ??????? X (u6).
??? ?????? ????????? ???? ??????? ?? ?????? ?????????? ?????????? ????????????? ??????? [5]
t = Z<1>, i7 = Z<2>, uC = Z<3>.
????? ??????? ???????? ???????? ??????? i7(t), u6(t).
?????? ??????????? ???????? ?????? ???????? ????? ????? ???????, ?? ????????????? ???????????? ???????????? ?????. ?????? ??????????? ????????, ?????????? ?????? ???????? ????????????? ????????? ? ????? ??????? ????????? ? ???????? ?? ???.
?????? ??????? Y ?????????? ? ??????????? ?????? ? ? D, ??????? ????? ????????? ?? ????????? ????????. ??? ????? ?????????????? ?????????? ?????????? ???? ? ??????????, ?? ???????? ? ?????? X, ??????? ????????? ????????? ?? ???????. ??? ???? ? ?????????? ? ???????? ???????? ??????? Y.
??????? ??????????????? ?????????? ????????? Y = CX + DV
????? ??????????? ?????????? ?????????. ???? ???????? ???? ?? ?????????. ????????? ??????? W, ?????????? N ????? (?????? N=100 - 200) ? n+1 ????????, ??? n - ????? ????????? ??????? Y. ?????????? ? ?????? ??????? (??? ???????) ??? i6, ?? ?????? - uC , ? ??????? - uL , ? ????????? - t.
??????? W ?????????? ? ??????? ????????????
I6 = Z1<2>, uC = Z1<2>, uL = Z1<3>, t = Z1<4>
K = 1..N
Wk,1 = C11ik + C12uC,k + D1E
Wk,2 = C21ik + C22uC,k + D2E
Wk,3 = C31ik + C32uC,k + D3E
Wk,4 = tk.
3.3. ?????? ?????????? ????????? ? ???? ? ?????
??????????????? ??????????? ???????
?????? ??????????? ???????? ?????????????? ?? ??? ?? ????????, ??? ? ?????? ??????????? ? ???????? ? ???? ? ?????????? ??????????. ?? ??????? 2.5 ????????? ????? ? ????? ???????????, ?????????? ?? ????? ?? ??????? 2.1 ????? ??????????.
???. 2.5 ????????? ????????? ?????? ??????????? ????????.
???????????? ?????? ??????????? ????????? ??????? i2(0) ? u8(0), ???????????? ? ??????? 2.2
X0 = [- 0.07 1.525]T.
?? ???????? ????? ???????????? ???????????? ??????????? ????????. ??? ????? ???????????? ?????????????????? ?????????. ?????????????? ????????? ??????????? ????????????? ? ????????? ???? ???????????? ????? ???? ???????. ??? ????? ?? ??????? 2.4 ?????
1 (L2p + R4)R2 Z(p) = + . C2p R2 + R4 + L2p ???????? ?????????? ????????? ? ?????? ???????????
R2 + R4 + (L2 + R2R4C2)p + L2R4C2p2 Z(p) = (R2 + R4 + L2p)C2 p ????????? ????????? ????, ??????? ?????????????????? ?????????
L2C2R2p2 + (L2 + R2R4C2)p +R2 + R4 = 0.
??? ?????????? ?????? ??????????????????? ????????? ?????? ?????????????
V = [R2 + R4 L2 + R2R4C2 L2C2R2]T.
? ??????? ????????? polyroots(V) ??????? ????? ??????????????????? ?????????: ??? ??????? ???????
p1,2 = - 3*103 + 2.293*103j.
?????? ??????? ???????????? ??????????? ????????
t? =4/3*103 = 2*10-3 ?.
???????????? ????????? ???????? ??? ?????????? ???????? ????? ? ??????????:
e = u8 + R2 i5,
- e = L2 di2/dt - u8 + R4 i4 - R3 i3
- i8 +i2 - i5 - i = 0
- i8 + i4 - i5 = 0.
???????????? ??? ??????? ? ????????? ?????, ??????? ????????? ?? ?????? ???????????? ?????????
di2/dt - R4/L2 1/L2 i2 - 1/L2 R4/L2 e(t)
X = = + Du8/dt - 1/C2 1/R2C2 u8 1/R2C2 1/C2 i(t) ???????? ??????? D2, ?????????? ??????? ? ?????? ????? ????? ?????????
- R4/L2* X1 + 1/L2 * X2 - 1/L2 * e(t) + R4/L2 * i(t) D2 = - 1/C2 *X1 - 1/R2C2 * X2 + 1/R2C2 *e(t) + 1/C2 * i(t) , ??? X1 = i2, X2 = u8,
e(t) = Emsin(2512t +ye),
i(t) = Imsin(2512t + yi).
?????? ??????????? ??????? ?????????????? ??????????
Z2 = rkfixed(x0,0,t?, 150,D2)
??? t? - ????? ??????????? ????????.
??? ?????????? ??????? ?????????? ?? ??????? Z2 ???????? ???????
t = Z2,<1>, i2 = Z2<2>, uC = Z<3>.
?????? ????? ? ??????????
????? ?? ??????? ????? ???? ? ????????????? ? ?????????? ?? ??????? ????????? ????? ???? i8, i5, i3. ???????? ?????? Y = [i8 i5 i3]T.
?? ????????? ???????? ???????
- i8 = - i2 - u8/R2 + e/R2 + i
- i5 = - u8/R2 + e/R2
- i3 = - i2 + i
??? ? ????????? ?????
i8 - 1 1/R2 i2 1/R2 1 e(t) Y = i5 = 0 -1/R2 u8 + 1/R2 0 i(t) I3 - 1 0 0 1 ?????? ???????, ???
- 1 - 1/R2 - 1/R2 1 C = 0 - 1/R2 , D = 1/R2 0 - 1 0 0 1 ??? ??????? ??????? ????? ?????????? ?????????
k = 1..150
tk = Z2k,1
ik = Z2k,2
uCk = Z2k,3
Wk,1 = C11*ik + C12 * uCk + D11*Emsin(2512t + ye) + D12*Imsin(2512t +yi) Wk,2 = C21*ik + C22 * uCk + D21*Emsin(2512t + ye) + D22*Imsin(2512t +yi) Wk,3 = C31*ik + C31* uCk + D31* Emsin(2512t + ye) + D32*Imsin(2512t +yi)
Wk,4 = tk ??? ?????????? ???????? ?????????? ?????????? ????????????? ??????? ? ??????? ????????? ??????????
i8 = W<1>, i5 = W<2>, i3 = W<3>, t = W<4>.
?????????? 1
????????? ???? ???????? ??????
???????????? ??????????? ??
?????????? ??????????? ????????
(??????????????? ??????????? ???????????)
????????? ? 3 ??????? 309
?????? 03 - 314
???????? ?????? ?? ????????????? ??????????????
?????? ??????? ????????????? ?????
? ?????????????? ? ?????????? ???????
??????? ?.?. ??????
????????????? ?.?. ??????
???.
??????
2003 ?. ??????????
1.??????? ?.?., ???????? ?.?., ??????? ?.?. ?????? ???????????? ?????????? ??????????????. ?.: ???, 2001.
2. ???????? ?.?. ????????????? ?????? ??????????????. ?. 1. ???????? ????????????? ????.- ?.: ???????, 1978.
3. ??????? ?. ?., ??????? ?.?. ?????????? ????????????? ? ????????????????. - ?.: ?????? ?????, 1981.
4. ??????? ?.?. ? ??. ???????? ???????????? ? ??????????? ??????? ?? ??? ??????? ????????????? ????? ? ?????????? ??????. - ?.: ???, 1988.
5. ???????? ?.?. ??????????? MathCAD 2001.-???.:??? - ?????????, 2001.
??????????
???????????
1. ??????? ???????? ??????? ?? ??????????? ??????? ????????????? ????
2. ???????????? ???????????? ? ??????? ?????????? ????????????? ????
2.1. ?????? ???????????????? ?????? ? ?????????? ????????????? ????
2.1.1. ?????? ??????????????? ?????? ? ?????????? ???? ?? ?????????? ????
2.1.2. ?????? ??????????????? ?????? ? ??????????????? ???? ??? ????????? ???? ?????????? ???????
2.2. ?????? ??????????? ?????? ? ??????????????? ????????????? ????
2.2.1. ???????????? ??????????? ???????? ? ???????????????
???? ? ?????????? ?????????? ???????
2.2.2. ?????? ??????????? ???????? ? ???? ? ??????????? ?????????????? ??? ? ????
3. ???????????? ???????????? ? ??????? ???? ?? ???
3.1. ?????? ????? ? ?????????? ? ???????????????? ???? ? ?????????????? ??????
3.2. ?????? ??????????? ???????? ? ???? ? ?????????? ?????????? ???
3.3. ?????? ??????????? ??????? ? ???? ? ????? ??????????????? ??????????? ???????.
?????????? 1
??????????
2
Документ
Категория
Без категории
Просмотров
20
Размер файла
1 156 Кб
Теги
работа, учебно, пособие, курсовая
1/--страниц
Пожаловаться на содержимое документа