Yokungotaura nheyo Electrical Engineering: nzira raiva pedyo nebundu voltages

Nzira raiva pedyo nebundu voltages - a kukarukureta pamusoro dzemagetsi mumatunhu umo voltage zvinokosheswa vari shanduka nodes ngetani hama kuti nechepasi gungano. The equations vari rakanyorwa pachishandiswa wokutanga mutemo Kirchhoff raMwari, iro anobvumira kuti kuderedza uwandu equations kuti ukoshi, k-1, apo k - kuwanda redunhu nodes. Nzira iri kushandiswa apo uwandu mapazi redunhu anopfuura maviri. Nzira raiva pedyo nebundu voltages vakawana kushanda mu kombiyuta zvirongwa simulations pamusoro dzemagetsi nematunhu, nokuda shungu inotungamirwa nokusunungura mapfundo algorithm equations.

Nodal voltages dzinonzi zvemasanga voltage pakati Munongedzo raiva pedyo nebundu (zvinonzi wakaiswa kuti razero mukana) uye rimwe nerimwe nodes. Madhayagiramu dzinomirira makateyiwa rutsigiro gungano.

Funga nzira dzakasiyana-siyana pakuverenga nematunhu yemagetsi

Musimboti nzira ichi chine kugadzirisa kwegadziriro equations uchishandisa vakatsunga potentials nomumwe raiva pedyo nebundu redunhu panyaya bhuku raiva pedyo nebundu. Pashure paizvozvo, dzemaitirwe matunhu vachishandisa mutemo Ohm, kuti vagara vandifungira magetsi netsika pamatavi zvose.

Complex kukarukureta nematunhu zvinotevera urongwa:

1. compise dhayagiramu pamwe zvinhu zvose.

2. Kuchava zvemasanga bhuku raiva pedyo nebundu. Uyezve, inokurudzirwa yokusarudzira raiva pedyo nebundu umo kupfuura nhamba pamatavi wekuita.

3. Isa zvemasanga nechokugedhi dzenzvimbo yose mapazi, iyo runotaurwa mune chati.

4. Nokuti kukarukureta pakati potentials pakati nodes yasara hama kune vakasarudzwa bhuku raiva pedyo nebundu chinoitwa wegadziriro equations.

Wakaenzana akadaro hurongwa achava zvinotevera chimiro:

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

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

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

• G - chitsama conduction mapazi chokuita kuti raiva pedyo nebundu;
• U - kukosha raiva pedyo nebundu voltages;
• ΣEG - the algebraic kuwanda zvibereko EMF mapazi, izvo yakabatana nzvimbo yavo conductivity. (Kana apo simba electromotive mabasa paungano mirayiridzo apo chigadzirwa iri hurukuro "+" chiratidzo pakatarisana nyaya - "-".)

The pamusoro mukana wokuti vanhu vanga hurongwa inoita kuverenga inodiwa tsika yacho raiva pedyo nebundu voltages nyore. Iye ane zita - wegadziriro nodal equations. Kana apo dunhu yakaoma yemagetsi rinoumbwa N-fung nhamba nodes Zvakakodzera kuti nodal mukana wokuti vanhu vanga ndeimwe isingasviki nhamba nodes. Sezvo equations zvose zvakanyorwa pachishandiswa mutemo Kirchhoff yokutanga akaverenga cheni vanofanira vanoumba kungovimba akazvimirira manyuko magetsi ano. In Kana apo redunhu unotora munhu voltage tsime, anofanira kutsiviwa yakaenzana iyezvino zvinyorwa. Uyewo, nodal mukana wokuti vanhu vanga anogona kunyorwa chizvaro fomu.

5. The urongwa equations riri kugadziriswa kuti nodal voltages, kusarudza tsika dzavo.

6. Zvadaro, nokuti bazi rimwe nerimwe, tsika dzose Magetsi mudunhu rinowanikwa yoga nemurairo Ohm vake.

I = (UA - ub + ΣEab) / ΣRab, sezvamakaropafadzwa:

• I - ano ukoshi cheni mapazi;
• Uh - zvinogona of raiva pedyo nebundu pamwe;
• Ub - zvinogona of raiva pedyo nebundu b;
• ΣEab - the algebraic Verengai pabazi;
• ΣRab - svomhu Verenga kurwisa bazi.

Nzira raiva pedyo nebundu voltages kuti matunhu wakaumbwa magungano maviri

Pakuverenga magetsi matunhu ane mbiri chete nodes, negadziriro equations panofanira kuva chete mukana wokuti vanhu vanga, izvo zvinoita kuti kuverenga zvakananga kukosha raiva pedyo nebundu voltages:

U = (ΣnEnGn + ΣnJn) / ΣmGm, sezvamakaropafadzwa:

• ΣnEnGn - the algebraic kuwanda zvibereko EMF mapazi pamusoro conductivity mapazi aya;
• ΣnJn - algebraic Verengai ano zvinyorwa;
• ΣmGm - the svomhu vakaverenga conductivities pamatavi zvose pakati nodes.

Nzira raiva pedyo nebundu voltages ane zvinotevera kwemasvomhu zvakanakira: nyore kukarukureta uye chinokosha zvinoderedza kwenhamba svomhu kwacho.