Vaxtang bancaZe,,arasimetriuli damyarebuli reJimebis analizi
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kvanZi A I A I a 2 A I a j kvanZi B I a B I a 2 B I C I a 2 C I a C I nax.42 pirdapiri mimdevrobis sqemaSi i(A faza) da j (B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT aseve movaxdinoT mokle SerTvis denebis modelireba denis wyaroebiT uku mimdevrobis sqemaSi: A B C i kvanZi A I A I a A I a 2 j kvanZi B I a 2 B I a B I C I a C I a 2 C I nax.43 uku mimdevrobis sqemaSi i (A faza) da j(B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT A fazis denebis damakavSirebel gantolebebs pirdapiri, uku da nulovani mimdevrobis sqemebisaTvis eqnebaT saxe: 125 i kvanZisaTvis: 0 0 0 0 0 0 0 2 2 iA jC ij jB ij iA ii iA jC ij jB ij iA ii iA iA jC ij jB ij iA ii U I Z I Z I Z U I a Z I a Z I Z U E I a Z I a Z I Z (6.6) (6.6) gantolebebis Sekreba erTfaza mokle SerTvis pirobis gaTvaliswinebiT: 0 0 iA iA iA iA iA iA U U U I I I da gvaZlevs: iA jC ij ij ij jB ij ij ij iA ii ii ii E I Z Z Z a I Z Z a Z a I Z Z Z 0 2 0 2 0 (6.7) j kvanZis B fazisaTvis gveqneba: 0 0 0 0 0 0 0 2 jC jC jj jB jj iA ji jB jC jj jB jj iA ji jB jB jC jj jB jj iA ji U I Z I Z I Z U I a Z I Z I a Z U E I a Z I Z I a Z (6.8) (6.8) gantolebis Sekreba gvaZlevs: jB jC jj jj jj jB jj jj jj iA ji ji ji E I Z Z a Z a I Z Z Z I Z Z a Z a 0 0 0 2 (6.9) j kvanZis C fazisaTvis gveqneba: 0 0 0 0 0 0 0 2 2 2 2 jC jC jj jB jj iA ji jC jC jj jB jj iA ji jC jC jC jj jB jj iA ji U I Z I Z I Z U a I a Z I a Z I a Z U E I Z I a Z I a Z (6.10) bolo gantolebaTa sistemis me-2 gantoleba gavamravloT a-ze samive gantoleba SevkriboT, miviRebT: jC jC jj jj jj jB jj jj jj iA ji ji ji E I Z Z Z I Z Z a Z a I Z Z Z a 0 0 2 2 0 (6.11) rogorc cnobilia: jA jB E a E 2 da jA jC aE E sabolood gveqneba: jA jC jj jj jj jB jj jj jj iA ji ji ji jA jC jj jj jj jB jj jj jj iA ji ji ji iA jC ij ij ij jB ij ij ij iA ii ii ii aE I Z Z Z I Z Z a Z a I Z Z Z a E a I Z Z a Z a I Z Z Z I Z Z a Z a E I Z Z Z a I Z Z a Z a I Z Z Z 0 0 2 2 0 2 0 0 0 2 0 2 0 2 0 (6.12) (6.12) gantolebaTa sistemis amoxsnis Sedegad miviRebT jC jB iA I I I , , , romelTa gasammagebuli mniSvneloba aris denebis fazuri mniSvneloba: jC jC jB jB iA iA I I I I I I 3 , 3 , 3 f f f 126 exla ganvixiloT erTfaza mokle SerTva i kvanZSi (B fazaSi) da fazaTaSorisi (B da C fazebs Soris) mokle SerTva j kvanZSi. zemoTTqmulis analogiurad SevadginoT mokle SerTvis denebis gansamzRreli gantolebebi. A B C i kvanZi B I a B I a 2 B I j kvanZi B I a B I a 2 B I C I a 2 C I a C I nax.44 pirdapiri mimdevrobis sqemaSi i(B faza) da j (B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT A B C i kvanZi B I B I a B I a 2 j kvanZi B I a 2 B I a B I C I a C I a 2 C I nax.45 uku mimdevrobis sqemaSi i(B faza) da j (B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT SevadginoT gantolebebi i kvanZis B fazisaTvis (samive mimdevrobis sqemaSi): 0 0 0 0 0 0 0 iB jC ij jB ij iB ii iB jC ij jB ij iB ii iB iB jC ij jB ij iB ii U I Z I Z I Z U I a Z I Z I Z U E I a Z I Z I Z (6.13) (6.13) gantolebis ajamva gvaZlevs: iB jC ij ij ij jB ij ij ij iB ii ii ii E I Z Z a Z a I Z Z Z I Z Z Z 0 0 0 (6.13) SevadginoT gantolebebi j kvanZis B fazisaTvis: 127 0 0 0 0 0 0 0 jC jC jj jB jj iB ji jB jC jj jB jj iB ji jB jB jC jj jB jj iB ji U I Z I Z I Z U I a Z I Z I Z U E I a Z I Z I Z (6.14) (6.14) gantolebis Sekreba gvaZlevs: jB jC jj jj jj jB jj jj jj iB ji ji ji E I Z Z a Z a I Z Z Z I Z Z Z 0 0 0 (6.15) j kvanZis C fazisaTvis gveqneba: 0 0 0 0 0 0 0 2 2 2 2 jC jC jj jB jj iB ji jC jC jj jB jj iB ji jC jC jC jj jB jj iB ji U I Z I Z I Z U a I a Z I a Z I a Z U E I Z I a Z I a Z (6.16) bolo gantolebaTa sistemis me-2 gantoleba gavamravloT a-ze samive gantoleba SevkriboT, miviRebT: jC jC jj jj jj jB jj jj jj iB ji ji ji E I Z Z Z I Z Z a Z a I Z Z a Z a 0 0 2 2 0 2 2 (6.17) (6.13), (6.15) da (6.17) gantolebebSi B da C fazebis Zabvebi gamovsaxoT Sesabamisi kvanZebis A fazis Zabvis saSualebiT: jA jC jj jj jj jB jj jj jj iB ji ji ji iA jC jj jj jj jB jj jj jj iB ji ji ji iA jC ij ij ij jB ij ij ij iB ii ii ii aE I Z Z Z I Z Z a Z a I Z Z a Z a E a I Z Z a Z a I Z Z Z I Z Z Z E a I Z Z a Z a I Z Z Z I Z Z Z 0 0 2 2 0 2 2 2 0 0 0 2 0 0 0 (6.18) (6.18) gantolebaTa sistemis amoxsnis Sedegad miRebuli denebis samze gamravleba gvaZlevs fazur denebs dazianebis adgilas: jC jC jB jB iB iB I I I I I I 3 , 3 , 3 f f f ganvixiloT erTfaza mokle SerTva i kvanZSi (C fazaSi) da fazaTaSorisi (B da C fazebs Soris) mokle SerTva j kvanZSi. analogiurad davukavSivroT erTmaneTs denebis samive mimdevrobis sqemaSi, Tu i kvanZSi dazianebulia faza C, anu gvaqvs erTfaza mokle SerTva, j kvanZSi mokle SerTvaa B da C fazebs Soris. 128 A B C i kvanZi C I a C I a 2 C I j kvanZi B I a B I a 2 B I C I a 2 C I a C I nax.46 pirdapiri mimdevrobis sqemaSi i(C faza) da j (B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT A B C i kvanZi C I C I a C I a 2 j kvanZi B I a 2 B I a B I C I a C I a 2 C I nax.47 uku mimdevrobis sqemaSi i(C faza) da j (B,C faza) kvanZebSi mokle SerTvis denebis modelireba denis wyaroebiT SevadginoT gantolebebi i kvanZis C fazisaTvis (samive mimdevrobis sqemaSi): 0 0 0 0 0 0 0 2 2 iC jC ij jB ij iC ii iC jC ij jB ij iC ii iC iC jC ij jB ij iC ii U I Z I Z I Z U I a Z I a Z I Z U E I Z I a Z I Z (6.19) (6.19) gantolebis ajamva gvaZlevs: iC jC ij ij ij jB ij ij ij iC ii ii ii E I Z Z a Z I Z Z a Z a I Z Z Z 0 2 0 2 0 (6.20) SevadginoT gantolebebi j kvanZis B fazisaTvis: 0 0 0 0 0 0 0 2 jC jC jj jB jj iC ji jB jC jj jB jj iC ji jB jB jC jj jB jj iC ji U I Z I Z I Z U I a Z I Z I a Z U E I a Z I Z I a Z (6.21) (6.21) gantolebis Sekreba gvaZlevs: jB jC jj jj jj jB jj jj jj iC ji ji ji E I Z Z a Z a I Z Z Z I Z Z a Z a 0 0 0 2 (6.22) 129 j kvanZis C fazisaTvis gveqneba: 0 0 0 0 0 0 0 2 2 2 jC jC jj jB jj iC ji jC jC jj jB jj iC ji jC jC jC jj jB jj iC ji U I Z I Z I Z U a I a Z I a Z I Z U E I Z I a Z I Z (6.23) bolo gantolebaTa sistemis me-2 gantoleba gavamravloT a-ze samive gantoleba SevkriboT, miviRebT: jC jC jj jj jj jB jj jj jj iC ji ji ji E I Z Z Z I Z Z a Z a I Z Z a Z 0 0 2 2 0 (6.24) (6.20), (6.22) da (6.24) gantolebebSi Tavisufali wevrebi gamovsaxoT Sesabamisi kvanZebis A fazis Zabvis saSualebiT: jA jC jj jj jj jB jj jj jj iC ji ji ji iA jC jj jj jj jB jj jj jj iC ji ji ji iA jC ij ij ij jB ij ij ij iC ii ii ii aE I Z Z Z I Z Z a Z a I Z Z a Z E a I Z Z a Z a I Z Z Z I Z Z a Z a aE I Z Z a Z I Z Z a Z a I Z Z Z 0 0 2 2 0 2 0 0 0 2 0 2 0 2 0 (6.25) (6.25) gantolebaTa sistemis amoxsnis Sedegad miRebuli denebis samze gamravleba gvaZlevs fazur denebs dazianebis adgilas: jC jC jB jB iC iC I I I I I I 3 , 3 , 3 f f f im SemTxvevaSi, rodesac gasaangariSebelia erTdrouli sami erTfaza mokle SerTva A, B da C fazebSi (i, m da n kvanZebSi) da aseve fazaTaSorisi mokle SerTva j kvanZSi B da C fazebs Soris, gantolebaTa sistema miiRebs Semdeg saxes: A A A A A C B C B A jC jB n m i jj jj jj jj jj jj jn jn jn jm jm jm ji ji ji jj jj jj jj jj jj jn jn jn jm jm jm ji ji ji nj nj nj nj nj nj nn nn nn nm nm nm ni ni ni mj mj mj mj mj mj mn mn mn mm mm mm mi mi mi ij ij ij ij ij ij in in in im im im ii ii ii aU U a aU U a U U U U U U I I I I I Z Z Z Z Z a Z a Z Z a Z Z Z a Z a Z Z Z a Z Z a Z a Z Z Z Z Z a Z a Z Z Z Z Z a Z a Z Z a Z Z Z a Z a Z Z Z Z Z a Z a Z Z a Z a Z Z a Z a Z Z Z Z Z a Z a Z Z Z Z Z a Z a Z Z Z a Z Z a Z a Z Z a Z a Z Z a Z a Z Z Z 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 i, m da n kvanZebis Serwymis SemTxvevaSi gveqneba samfaza mokle SerTva i kvanZSi, anu gveqneba samfaza mokle SerTva i kvanZSi da fazaTaSorisi (B da C) mokle ZerTva j kvanZSi, maSin Sesabamisi gantoleba miiRebs saxes: A A A A A C B C B A jC jB n m i jj jj jj jj jj jj ji ji ji ji ji ji ji ji ji jj jj jj jj jj jj ji ji ji ji ji ji ji ji ji ij ij ij nj nj nj ii ii ii ii ii ii ii ii ii ij ij ij ij ij ij ii ii ii ii ii ii ii ii ii ij ij ij ij ij ij ii ii ii ii ii ii ii ii ii aU U a aU U a U U U U U U I I I I I Z Z Z Z Z a Z a Z Z a Z Z Z a Z a Z Z Z a Z Z a Z a Z Z Z Z Z a Z a Z Z Z Z Z a Z a Z Z a Z Z Z a Z a Z Z Z Z Z a Z a Z Z a Z a Z Z a Z a Z Z Z Z Z a Z a Z Z Z Z Z a Z a Z Z Z a Z Z a Z a Z Z a Z a Z Z a Z a Z Z Z 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 ganvixiliT me-2 kvanZSi samfaza mokle SerTva da me-3 kvanZSi fazaTaSoriso mokle SerTva. me-2 da me-3 kvanZebis sakuTari da urTierTwinaRobebi arian: 7286 . 0 0 5476 . 0 0 5476 . 0 0 7286 . 0 0 33 32 23 22 j j j j Z Z Z Z Z 3842 . 0 0 2191 . 0 0 2191 . 0 0 3842 . 0 0 33 32 23 22 j j j j Z Z Z Z Z 7800 . 0 0 2100 . 0 0 2100 . 0 0 7800 . 0 0 0 33 0 32 0 23 0 22 0 j j j j Z Z Z Z Z rogorc avariuli reJimebis aRmweri gantolebebidan Cans Tanmxvedri, winmswrebi da CamorCenili fazebis Sesabamisi koeficientebi gaiangariSebian Semgegnairad: 0 Z Z Z Z Tan 8928 . 1 0 9767 . 0 0 9767 . 0 0 8928 . 1 0 j j j j Z Tan 0 2 Z Z a Z a Z winmsw 2236 . 0 2983 . 0 1733 . 0 2845 . 0 1733 . 0 2845 . 0 2236 . 0 2983 . 0 j j j j Z winmsw 0 2 Z Z a Z a Z Cam 2236 . 0 2983 . 0 1733 . 0 2845 . 0 1733 . 0 2845 . 0 2236 . 0 2983 . 0 j j j j Z Cam 0 Z Z a Z a ZZ winmsw 2236 . 0 9637 . 0 1733 . 0 6640 . 0 1733 . 0 6640 . 0 2236 . 0 9637 . 0 j j j j ZZ winmsw 0 2 2 Z Z a Z a ZZ Cam 2236 . 0 9637 . 0 1733 . 0 6640 . 0 1733 . 0 6640 . 0 2236 . 0 9637 . 0 j j j j ZZ Cam 0 2 Z Z Z a A Cam 7999 . 0 6310 . 0 1553 . 0 4742 . 0 1553 . 0 4742 . 0 7999 . 0 6310 . 0 j j j j A Cam 0 2 Z Z a Z B Cam 3165 . 1 3327 . 0 6481 . 0 1897 . 0 6481 . 0 1897 . 0 3165 . 1 3327 . 0 j j j j B Cam 0 Z Z Z a A winmsw 7999 . 0 6310 . 0 1553 . 0 4742 . 0 1553 . 0 4742 . 0 7999 . 0 6310 . 0 j j j j A winmsw 0 Z Z a Z B winmsw 3165 . 1 3327 . 0 6481 . 0 1897 . 0 6481 . 0 1897 . 0 3165 . 1 3327 . 0 j j j j B winmsw 132 avariuli kvanZebis Sesabamisi indeqsebis mixedviT virCevT matricebis elementebs da vadgenT matricul gantolebas: Z*I=U (6.26) sadac ] 8928 . 1 0 2236 . 0 0 6481 . 0 0 1733 . 0 0 1553 . 0 4742 . 0 2236 . 0 0 8928 . 1 0 1733 . 0 0 9767 . 0 0 1733 . 0 0 6481 . 0 0 1733 . 0 2845 . 0 8928 . 1 0 2236 . 0 0 2236 . 0 0 1733 . 0 0 9767 . 0 0 2236 . 0 0 8928 . 1 0 2236 . 0 0 1553 . 0 4742 . 0 1733 . 0 2845 . 0 2236 . 0 2983 . 0 2236 . 0 0 8928 . 1 0 [ j j j j j j j j j j j j j j j j j j j j j j j j j Z .9637 .1897 - .6640 - .9637 - .2845 - .2845 .1897 .2983 .2983 - .6640 - .2983 - .2983 - .2983 - 6997 . 0 4040 . 0 6997 . 0 4040 . 0 6997 . 0 4040 . 0 6997 . 0 4040 . 0 0 8080 . 0 3 3 2 2 2 2 2 j j j j j aU U a aU U a U U - me-2 da me-3 kvanZebis fazuri Zabvebia (6.26) –s amoxsna gvaZlevs: U Z inv I ) ( 0000 . 0 2011 . 0 0000 . 0 2011 . 0 2074 . 0 2445 . 0 1081 . 0 1872 . 0 3155 . 0 0573 . 0 j j j j j I matrica I – is elementebis gasammagebuli mniSvnelobebi warmoadgenen fazur denebs dazianebis adgilas. ganxiluli meTodis utyuarobis dasamtkiceblad miRebuli Sedegebi SevadareT angariSebs, romlebic CavatareT damoklebul kvanZiani sqemisaTvis, sadac xolo me-3 kvanZis Zabva . angariSi CavatareT [2] –Si ganxiluli meTodiT. 6035 . 0 ) 2593 . 0 317 . 0 /( 2008 . 0 732 . 1 j j j i ЗB 6035 . 0 ) 2593 . 0 317 . 0 /( 2008 . 0 732 . 1 j j j i ЗC 2011 . 0 3 / 6035 . 0 3 / ЗB i 2011 . 0 3 / ЗC i 133 daskvna nebismieri saxis arasimetriuli reJimebis gasaangariSeblad veyrdnobiT simetriul mdgenelTa meTods, romlis Tanaxmadac arasimetriuli reJimi iSleba sam simetriul reJimad. angariSebis unificirebis mizniT movaxdineT nebismieri saxisa da raodenobis mokle SerTvis warmodgena, rogorc erTfaza mokle SerTvis kombinacia, radganac erTfaza mokle SerTvis Sesabamisi sasaRvro pirobebi iZleva ucnobebis Semcirebis saSualebas (romelTa ricxvi gasammagda simetriul Semdgenlebad daSlis gamo). ase magaliTad: samfaza mokle SerTva miwaze warmovadgineT, rogorc erTfaza mokle SerTvis reJimebis zeddeba damatebiTi pirobebis gaTvaliswinebiT, rac iTvaliswinebs fiqtiuri kvanZebis Serwymis pirobas. aRniSnuli angariSebis Casatareblad saWiroa samive mimdevrobis sqemisaTvis winaswar gaangariSebuli iqnes kvanZebis sakuTari da urTierTwinaRobebis matrica: Z , Z , 0 Z . rogorc viciT nebismieri raodenobis mokle SerTvis SemTxvevaSi avariuli reJimis aRmweri wrfivi gantolebebis Sesadgenad sakmarisia saWiro elementebis amorCeva am matricebidan. es dasturdeba mokle SerTvis denebis modelirebiT idealuri denis wyaroebis saSualebiT. amgvarad, nebismeri simetriuli qselisaTvis zogadad SeiZleba daiweros: kv kv kv U I Z , xolo Tu warmovadgenT matricul gantolebebs Sedgenils Sesabamisi mimdevrobis sqemebisaTvis, gveqneba: n kC kC jB jB iA iA kC jB iA nn nk nj ni n kn kk kj ki k jn jk jj ji j in ik ij ii i n k j i U U E U E U E U I a I a I Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z 1 2 1 1 1 1 1 1 1 1 11 0 0 ; n kC jB iA kC jB iA nn nk nj ni n kn kk kj ki k jn jk jj ji j in ik ij ii i n k j i U U U U U I a I a I Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z 1 2 1 1 1 1 1 1 1 1 11 0 0 134 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 11 0 0 n kC jB iA kC jB iA nn nk nj ni n kn kk kj ki k jn jk jj ji j in ik ij ii i n n j i U U U U U I I I Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z sadac: kv Z _ Sesabamisi mimdevrobis sqemis kvanZur winaRobaTa matricaa sawyisi sqemisaTvis, romlis elementebi ucvlelia nebismieri saxisa da raodenobis mokle SerTvebis dros. kv U _ kvanZuri Zabvebis veqtor matricaa simetriuli mokle SerTvebis dros. arasimetriuli mokle SerTvebis dros es sidide tolia kvanZuri Zabvisa da pirdapiri mimdevrobis Zabvis sxvaobis (pirdapiri midevrobis sqemaSi), xolo uku da nulovani mimdevrobis sqemebSi _ Sesabamisi mimdevrobis Zabvis. im kvanZis Sesabamisi Zabva, sadac aris mokle SerTva udris avariamdeli reJimis Zabvas. kv I _ kvanZuri denebis, anu saZiebeli mokle SerTvis denebis veqtor matricaa (Sesabamisi mimdevrobis sqemebSi), sadac niSnadi elementebi aris saZiebeli mokle SerTvis denebi, danarCeni elementebi udris nuls. erTfaza mokle SerTvis sasazRvro pirobebi mosaxerxebelia unificirebuli gantolebebis misaRebad, amitom yvela saxis mokle SerTvas ganvixilavT, rogorc erTfaza mokle SerTvebis kombinacias. magaliTad Tu ganvixilavT erTdroul erTfaza mokle SerTvas k j i , , kvanZebSi, damatebiTi pirobis (kvanZebis Serwymis) gaTvaliswinebiT miviRebT gantolebaTa sistemas, romlis amonaxsni iZleva denebs A, B, C fazebSi samfaza mokle SerTvis dros. igive iTqmis orfaza miwaze mokle SerTvis SemTxvevaSi. zemoTTqmulis dasadastureblad, Catarebuli gvaqvs Sesabamisi angariSebi, romlis pirdapiri, uku da nulovani mimdevrobis Canacvlebis sqemebi mocemulia Sesabamis naxazze gantolebis Sedgenisas Camoyalibda Semdegi wesi: sakuTari da urTierTwinaaRmdegobebi warmoadgenen samive mimdevrobis 135 sqemis Sesabamisi matricebidan 0 '' ' , uz uz uz Z Z Z , amokrefil elementTa jams. sakuTari winaRoba, anu im i-uri kvanZis sakuTari winaRoba, romlisTvisacaa Sedgenili gantoleba, yovelTvis aris jami am matricebidan amokrefili avariuli kvanZebis sakuTari winaRobebis 0 ii ii ii ii Z Z Z Z . urTierTwinaRobebis gaangariSebis SemTxvevaSi - 0 2 ij ij ij ij Z Z a Z a Z Tu j kvanZSi dazianebuli faza CamorCeba i kvanZSi dazianebul fazas, xolo Tu win uswrebs, maSin - 0 2 ij ij ij ij Z Z a Z a Z . im SemTxvevaSi ki Tu da kvanZebSi dazianeba aris erTsaxela fazebSi, maSin - 0 ij ij ij ij Z Z Z Z . am gamosaxulebebSi a aris Zvris operatori, romelic udris 866 . 0 5 . 0 120 j e a j , xolo 866 . 0 5 . 0 120 2 j e a j . zemoT Tqmulidan gamomdinare winaswar SegviZlia viangariSoT kvanZuri winaRobebis matricebi, Tanxvedrili, winmswrebi da CamorCenili fazebisaTvis. Tanxvedr Z Z Z Z 0 _ Tanxvedrili fazisaTvis. CamorC Z Z Z a Z a 0 2 _ CamorCenili fazisaTvis. winmswreb Z Z Z a Z a 0 2 _ winmswrebi fazisaTvis. aucilebelia arasimetriuli mokle SerTvis aRmweri unificirebuli gantolebebis Sedgenis algoriTmis Camoyalibeba, romelic konkretuli magaliTis gaangariSebis safuZvelze am amocanis kompiuteruli programis damuSavebis saSualebas mogvcems momavalSi. vinaidan sirTuleebi gvxvdeba konkretuli situaciis aRmweri gantolebebis Sedgenisas da amoxsnisas, am meTodis praqtikuli gamoyeneba mosaxerxebeli xdeba Sesabamisi programis damuSavebis Semdeg. rogorc ukve aRvniSneT amocanis maTematikurad Camoyalibebis garda aucilebelia (rogorc meTodikis sisworis dasadastureblad, aseve SemdgomSi misi praqtikulad gamoyenebisaTvis garkveuli wesebis Camoyalibeba) realur magaliTze sxvadasxva situaciebis gaangariSeba. 136 arasimetriuli avariuli reJimebis parametrebis gaangariSebis erTiani meTodikis Camoyalibeba saSualebas iZleva CavataroT Sesabamisi angariSebi nebismieri saxisa da kombinaciis avariis dros. avariuli situaciebis aRmweri gantolebebis unificirebisaTvis SesaZlebeli gamodga yvela saxis dazianebis warmodgena erTfaza dazianebiT garkveuli sasazRvro pirobebis gaTvalswinebiT. rogorc cnobilia arasimetriuli dazianebebis analizi eyrdnoba simetriul mdgenelTa meTods, romlis arsi mdgomareobs arasimetriuli reJimis daSlaSi sam simetriul reJimad: pirdapiri, uku da nulovani mimdevrobis reJimebad raTa Semdgom TiToeuli mimdevrobis sqemaSi gamoyenebuli iqnes yvela is meTodi, romelic samarTliania simetriuli sistemebisaTvis. amis uflebas iZleva is debuleba, rom calkeuli mimdevrobis sqemaSi cirkulirebs mxolod Sesabamisi mimdevrobis denebi da urTierTkavSiri Zabvebsa da denebs Soris aRiwereba cnobili kanonebiT, xolo kavSiri mimdevrobebs Soris myardeba avariis adgilas im sasazRvro pirobebis mixedviT, romelic axasiaTebs ama Tu im dazianebas. amgvarad winaswar unda dadgindes pirdapiri, uku da nulovani mimdevrobis sqemebis pasiuri parametrebi da gaiTvalos maTi Sesabamisi kvanZuri gamtareblobisa da kvanZuri winaRobebis matricebi ganivi asimetriis SemTxvevaSi. naSromSi miwaze mokle SerTvebi (orfaza da samfaza) advilad warmovadgineT erTfaza mokle SerTvebiT miwaze. amdenad Cveni mizani iyo fazaTaSorisi mokle SerTvis warmodgena ori erTfaza mokle SerTviT miwaze, raTa migveRo yvela saxis arasimetriuli mokle SerTvis aRmweri unificirebuli gantolebebi. e.i erTiani midgomis Camosayalibeblad fazaTaSoriso mokle SerTva warmovadgineT erTfaza mokle SerTvebis kombinaciiT. Cven daveyrdeniT orfaza mokle SerTvis (miwaze) SemTxvevisaTvis 137 miRebul gantolebebsa da gaviTvaliswineT damatebiTi pirobebi, romlebic daedo am gantolebaTa sistemas. |