2008/2009. Fakultet prometnih znanosti Sveučilište u Zagrebu ELEKTROTEHNIKA
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1 008/009 Fakultet proetnh znanost Sveučlšte u Zagrebu ZMJENČNE SJE EEKOEHNKA
2 ZMJENČNE SJE zjenčne struje su vreensk projenljve struje koja se pored jakost jenja sjer strujanja naboja. renutna vrjednost zjenčne velčne znos zjenčne velčne u određeno trenutku Označavanje projenjvh velčna al slova u(t, (t Perodčk projenjve velčne nakon vreenskog ntervala s (PEOD ponavlja se slka projenjve velčne Frekvencja f zjenčne velčne broj cjelh projena ( slka te velčne u jednc vreena: f 1 1 s Hz
3 Kružna frekvencja: f rad s t rad Fazn poak (faza poak funkcje 1 ( 1 ( t sn ( t ( t sn ( t snusne velčne ( snt cos t; cos je fazno poaknut sn cos t t = sn (t+/ snt t = cos (t /
4 osrednja vrjednost zjenčne struje Srednja vrjednost zjenčne struje u vreensko ntervalu defnrana je zrazo: sr 1 ( t dt 0 Za snusodalnu zjenčnu struju srednja vrjednost jednaka nul.
5 oelektroltska srednja vrjednost Kod elektrolze btna elektroltska srednja vrjednost ože se dobt punovaln spravljanje Defnra se: Za snusnu struju: 1 el ( t el 0 dt 0, 637
6 oefektvna vrjednost MS value (root-ean-square value: efektvna vrjednost, kvadratna srednja vrjednost. Efektvna vrjednost ef zjenčne struje (t odgovara onoj vrjednost konstantne stosjerne struje koja na otpornku otpornost prozvede stu kolčnu toplne kao ta zjenčna struja u sto vreenu na sto otpornku. d W W ( d ( dt t W W 0 ( dt t 0 ( ef dt t 0 ( 1 dt t dt t ( 1 ef dt t dt t 707 0,... sn ( 0 0
7 Ojern faktor nstruent nsu baždaren na stu srednju vrjednost, pa se oraju preračunat s pooću ojernh faktora. Faktor oblka je ojer efektvne elektroltske srednje vrjednost zjenčne velčne ,11 jeen faktor je ojer aksalne efektvne vrjednost zjenčne velčne. 1 1, 414 Srednj faktor je ojer elektroltske srednje aksalne vrjednost zjenčne velčne. 0,637
8 POJEDNAČNA OPEEĆENJA ZVOA ZMJENČNE SJE čsto djelatno opterećenje zjenčnog strujnog kruga; čsto nduktvno opterećenje zjenčnog strujnog kruga; čsto kapactvno opterećenje zjenčnog strujnog kruga.
9 Djelatn (aktvn otpor u zjenčno strujno krugu Osk otpor otpor na protjecanje stosjerne struje Djelatn (aktvn otpor otpor na protjecanje zjenčne struje Djelatn otporo u obzr se uzaju gubc pr pretvorb energje Za frekvencje anje od 300 [Hz], osk otpor prblžno je jednak djelatno Gradska reža je na 50 [Hz]. zrok povećanja aktvnog u odnosu na osk otpor zjenčno elektroagnetsko polje zazva vrtložne struje koje sanjuju efektvn vodljv presjek vodča stosjerna struja je ravnojerno raspoređena po poprečno presjeku vodča. Kod zjenčne gustoća struje raste prea prea površn - skn učnak. stosjerna struja l S zjen čna struja l ' S' S' S '
10 Djelatn (aktvn otpor u zjenčno strujno krugu u( t snt u( t ( t snt snt Napon struja su u faz.
11 nduktvtet (nduktvna reaktancja u zjenčno strujno krugu Svtc (zavojnce bez jezgre l s agnetsko jezgro Služe za - generranje nducranh napona (bobna, transforator, - generranje agnetskh polja gdje će djelovat agnetska sla (elektrootor, relej, - fltrranje sgnala, - skladštenje agnetske energje dr. Prolasko projenjve elektrčne struje kroz zavojncu dolaz do nducranja napona saondukcje zavojnca se opre projen struje tj. postoj NDKVNA EAKANJA (nduktvn otpor
12 nduktvtet u zjenčno strujno krugu u( t e ( t 0 nd u ( t sn t d( t 1 u ( t ( t u ( t dt dt 1 ( t ( cost cost sn( t ( t sn( t
13 nduktvtet zjenčno strujno krugu u( t snt ( t sn( t Zaps u kopleksno oblku j NDKVNA EAKANJA Napon prethod struj, efektvne vrjednost u (
14 Kapactet u zjenčno strujno krugu Funkcja kondenzatora odvajanje stosjerne od zjenčne koponente struje, kratko spajanje zjenčnh napona, fltre rezonantne krugove, pohranu elektrčne energje gj generranje vreenskh kašnjenja dr. Struja fzčk ne prolaz kroz delektrk kondenzatora, zjenčna struja je struja punjenja pražnjenja kondenzatora, a zatvara se preko polarzranh naboja u delektrku. Kondenzator predstavlja kapactvnu reaktancju (kapactvn otpor zjenčnoj č j struj
15 Kapactet u zjenčno strujno krugu u ( t sn t du( t ( t dt ( t t cost sn( t cos ( t sn( t 1
16 Kapactvn otpor u zjenčno strujno krugu u( t snt ( t 1 sn( t Zaps u kopleksno oblku 1 j j NDKVNA EAKANJA Struja prethod naponu., efektvne vrjednost
17 Nek serjsk spojev Serjsk spoj otpora nduktvteta rokut otpora Vektorsk djagra Z j Z Z Z Z Z tg
18 Serjsk spoj otpora kapacteta rokut otpora Vektorsk djagra Z j Z Z Z Z Z tg
19 Serjsk spoj nduktvteta kapacteta Krug se ponaša kao zavojnca. Krug se ponaša kao kondenzator. Krug se ponaša kao kratk spoj!
20 Serjsk spoj, arctg Z ( arctg ( Z ( 0 0 Z
21 Paraleln krug
22 Paraleln spoj rokut vodljvost Y Y G ( B B Adtancja Susceptancja arctg B G B
23 Ptanja koentar???
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