Isisekelo yeengcingane Electrical Engineering: indlela yombane node

yombane Indlela node - ukubala eesekethe zombane apho amaxabiso ombane kukho umahluko iindawo iintsontelo kuthelekiswa ibandla kwisiseko. Ezi zibalo ziyaqokelelwa ngokwesiseko yokuqala umthetho Kirchhoff kaThixo, nto leyo evumela ukunciphisa inani kwizibalo kwixabiso k-1, apho k - inani ezalathelwe beesekethe. wasebenzisa le ndlela kungcono xa inani amasebe wesekethe ngaphezu ezimbini. Indlela node yombane bafumana isicelo kwiinkqubo zekhompyutha ukulinganisa eesekethe zombane, ngenxa lula wesiseko kwizibalo amaqhina algorithm.

yombane Nodal kuthiwa ombane engenasizathu phakathi reference node (oko kulindeleke ukuba zero amandla) kunye ngamnye ezalathelwe uphuhliso. Le dayagram ibonisa ibandla inkxaso nisekelwe.

Qwalasela iindlela ezahlukeneyo ukubala iziphaluka zombane

Undoqo yale ndlela iqulathe ekusombululeni inkqubo kwizibalo usebenzisa nekhono sizimisele kwisekethe nganye node malunga reference node. Emva koko, lo iziphaluka ubalo usebenzisa umthetho Ohm kaThixo, ukuba ugqibe ziinqobo yangoku onke amasebe.

iziphaluka ubalo Complex kolu luhlu lulandelayo:

1. compise umzobo beengxenye zonke.

2. Kuya kubakho inkomba node ngokwesigqibo esicalanye. Ngaphezu koko, kucetyiswa ukuba ukhethe indawo apho elona nani likhulu amasebe livuma.

3. Beka engenasizathu kolwalathiso imisinga kuwo onke amasebe, nto leyo luchazwa kulo mzobo.

4. Kuba ekubaleni nekhono of iindawo eseleyo ngokunxulumene reference esiludumbo ekhethiweyo yenziwe inkqubo kwizibalo.

Ukulingana le nkqubo iya kuba le fomu ilandelayo:

U1G11 - U2G12 - ... - UsG1s - UnG1n = Σ1EG + Σ1J

-U1G21 + U2G22 - ... - UsG2s - UnG2n = Σ2EG + Σ2J

........................................................................................

U1Gn1 - U2Gn2 - ... - UsGns + UnGnn = ΣnEG + ΣnJ, apho:

• G - isixa amasebe Uhanjiso eqhagamshelwe esiludumbo;
• U - ixabiso lombane node;
• ΣEG - sum aljibra iimveliso ze-EMF amasebe, ezikufutshane kwisiza, conductivity zabo. (Kwimeko apho izenzo mandla electromotive kwicala kwindibano ngelixa imveliso unikwe umqondiso kwimeko esahlukileyo "+" - "-".)

Inkqubo equation ngasentla sikwazi ngokulula ukubala amaxabiso efunekayo ye yombane node. Yena unalo igama - inkqubo quadratic ezidingayo. Kwimeko apho isekethi elukhuni yombane ubunjwe n-th inani iindawo kuyimfuneko ukwenza inxaki kwelini ngomnye ngaphantsi kwenani ezalathelwe uphuhliso. Njengoko bonke zibalo ezibhaliweyo ngenxa yomthetho lokuqala Kirchhoff, le ikhonkco ebalwa kufuneka kubandakanye imithombo kuphela ezizimeleyo ombane. Kwimeko apho wesekethe iqulathe umthombo wamandla ombane, kufuneka kufakwe elinganayo imithombo yangoku. Ukongeza, i equation ezingundoqo zingabhalwa ifomu matrix.

5. Le nkqubo kwizibalo kusonjululwa ngenxa yombane ezingundoqo, nokumisela imilinganiselo zabo.

6. Emva koko, ngokuba isebe ngalinye, onke amaxabiso yangoku yombane kwisekethe sibalwa ngokwahlukeneyo umthetho Ohm kaThixo.

I = (okungenanto - UB + ΣEab) / ΣRab, apho:

• I - ixabiso ngoku amasebe lezolimo;
• Ua - amandla esiludumbo ngokunjalo;
• UB - amandla esiludumbo b;
• ΣEab - sum aljibra lesebe;
• ΣRab - sum lokubala eliguqukayo kweelana sebe.

Indlela node yombane ukuba kwiisekethe ezibandakanya iindibano ezimbini

Ekubaleni iisekethe zombane eziqulathe iindawo ezimbini kuphela, inkqubo kwizibalo ziya kuba quadratic enye, ukusuka apho kunokwenzeka ukubala ngqo ixabiso lombane node:

U = (ΣnEnGn + ΣnJn) / ΣmGm, apho:

• ΣnEnGn - sum aljibra ngeemveliso amasebe EMF phezu conductivity ezi masebe;
• ΣnJn - sum aljibra lwemithombo yolwazi yangoku;
• ΣmGm - sum lokubala eliguqukayo le insimbi onke amasebe phakathi ezalathelwe uphuhliso.

Indlela yombane node unalo iingenelo zemathematika zilandelayo: lula ukubala kunye nokuncipha kakhulu inani imisebenzi arithmetic.