Izikhwama theory of Electrical Engineering: indlela node voltages

Indlela node voltages - izibalo lezifunda kagesi lapho amagugu voltage ziyahlukahluka ISIZINDA amaketanga isihlobo enhlanganweni isizinda. I zibalo ihlanganiswe ngesisekelo owokuqala umthetho Kirchhoff sika, okuvumela ukunciphisa inani zibalo kunani k-1, lapho k - inani ISIZINDA wesifunda. Le ndlela engcono esetshenziswa lapho isibalo amagatsha wesifunda engaphezu kwemibili. Indlela node voltages wathola isicelo ezinhlelweni ikhompyutha imifanekiso izifunda kagesi, ngenxa lula ukwakheka ifindo algorithm zibalo.

voltages Nodal abizwa ngokuthi voltage ngokungenasizathu phakathi ireferensi engeyokuqala (ke isethelwe kuqanda engaba) kanye ngamunye ISIZINDA. Umdwebo bamele lusekelwe ukweseka inhlangano.

Cabangela izindlela ezahlukene kubalwa izifunda kagesi

Ingqikithi le ndlela siqukethe ekuxazululeni uhlelo of zibalo usebenzisa nekhono kunqunywa okuyinto Isifunda ngasinye siqhuba node mayelana inkomba engeyokuqala. Ngemva kwalokho, izifunda ukubala besebenzisa umthetho Ohm sika, ukuthi kunqunywa amagugu samanje wonke amagatsha.

izifunda Inxanxathela ukubala e ukulandelana elandelayo:

1. compise umdwebo nabo bonke izakhi.

2. Kuzakuba ongumashiqela inkomba engeyokuqala. Ngaphezu kwalokho, kutuswa ukuba ukhethe engeyokuqala lapho inani elikhulu amagatsha bukhomba.

3. Setha ngokungenasizathu isiqondiso imisinga wonke amagatsha, okuyinto luchazwa kulombhalo.

4. Ukuze ukubala nekhono ISIZINDA asele ngokuhlobene akhethiwe inkomba engeyokuqala senziwa ohlelweni of zibalo.

Ukulingana njalo kwesimiso esinjalo kuyodingeka ifomu elilandelayo:

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

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

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

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

• G - nenani amagatsha conduction exhunywe kwi-node;
• U - ukubaluleka node voltages;
• ΣEG - isamba algebraic imikhiqizo ye EMF amagatsha, okuyizinto eduze kwisayithi, conductivity yabo. (Esimweni lapho electromotive amandla izenzo ohlangothini inhlangano kuyilapho umkhiqizo inikezwa uphawu "+" endabeni okuphambene - "-".)

Okungenhla equation uhlelo kwenza kalula ukubala amanani edingekayo we voltages engeyokuqala. Uneziqu igama - uhlelo of zibalo nodal. Esimweni lapho eziyinkimbinkimbi wesifunda kagesi yakhiwa inombolo n-th of ISIZINDA kuyadingeka ukwenza kwesibalo nodal lingaphansi eyodwa ukudlula isibalo ISIZINDA. Njengoba sazi ukuthi sonke zibalo zilotshiwe ngesisekelo umthetho kuqala Kirchhoff sika, iketango ibalwa kufanele zimumethe imithombo kuphela esizimele kagesi. Esimeni lapho isifunda yakhiwa umthombo voltage, kumelwe ithathelwe isikhundla okulingana imithombo zamanje. Ngaphezu kwalokho, ezothando nodal ingabhalwa ifomu-matrix.

5. Uhlelo of zibalo isixazululekile ngokuba voltages nodal, ekutholeni amagugu abo.

6. Ngemva kwalokho, for igatsha ngalinye, wonke amanani of kagesi yesifunda ibalwa eceleni ngumthetho Ohm sika.

I = (Ua - ub + ΣEab) / ΣRab, lapho:

• Mina - Inani lamanje amagatsha uchungechunge;
• Ua - bezikhali engeyokuqala kanye;
• Ub - bezikhali b node;
• ΣEab - isamba algebraic egatsheni;
• ΣRab - sum izibalo we ukumelana egatsheni.

Indlela node voltages banakekele izifunda ehlanganisa nemihlangano emibili emikhulu

Ekubaleni izifunda kagesi eziqukethe ISIZINDA ezimbili kuphela, uhlelo of zibalo izokuba ezothando olulodwa, kusuka lapho kungenzeka ukubala ngqo ukubaluleka node voltages:

U = (ΣnEnGn + ΣnJn) / ΣmGm, lapho:

• ΣnEnGn - isamba algebraic imikhiqizo amagatsha EMF phezu conductivity yalezi amagatsha;
• ΣnJn - sum algebraic emithonjeni zamanje;
• ΣmGm - isamba izibalo we conductivities yazo zonke amagatsha phakathi ISIZINDA.

Indlela node voltages has izinzuzo ezilandelayo zezibalo: kalula ukubala kanye nokwehla okuphawulekayo inani izibalo imisebenzi.