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Magnetni krogi I Magnetni krogi I Magnetni krogi I - LES

Magnetni krogi I Magnetni krogi I Magnetni krogi I - LES

Magnetni krogi I Magnetni krogi I Magnetni krogi I - LES

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Dobimo:<br />

2<br />

ϑpk<br />

PCu<br />

b<br />

+ PFe<br />

=<br />

ϑ P + P<br />

n<br />

Cu<br />

Segrevanje transformatorja<br />

Fe<br />

Za rešitev problema moramo<br />

najti obremenitev, zaradi katere<br />

bi se transformator v času<br />

obratovanja t o , segrel do nazivne<br />

temperature ϑ n .<br />

t<br />

⎛ − o<br />

⎞<br />

ϑ ( ) = ϑ = ϑ ⎜ − T<br />

p<br />

to<br />

n pk<br />

1 e ⎟<br />

⎝ ⎠<br />

Segrevanje transformatorja<br />

Dobljeno enačbo vstavimo v<br />

enačbo za izračun temperature<br />

stacionarnega stanja:<br />

ϑ<br />

pk<br />

t<br />

− o<br />

T<br />

e<br />

⎛ ϑ<br />

pk<br />

⎜1<br />

−<br />

⎝<br />

2<br />

PCu<br />

b + PFe<br />

=<br />

⎞ PCu<br />

+ PFe<br />

⎟<br />

⎠<br />

Izračunati moramo b. Vidimo, da<br />

se nadtemperatura pokrajša.<br />

1<br />

⎛ −<br />

⎜1<br />

−<br />

⎝<br />

to<br />

T<br />

e<br />

2<br />

PCu<br />

b + PFe<br />

=<br />

⎞ PCu<br />

+ PFe<br />

⎟<br />

⎠<br />

Segrevanje transformatorja<br />

Zamenjamo levo in desno stran:<br />

2<br />

PCu<br />

b + PFe<br />

1<br />

=<br />

PCu<br />

+ PFe<br />

⎛<br />

⎜1<br />

− ⎟<br />

⎝ ⎠<br />

2 PCu<br />

+ PFe<br />

PCu<br />

b + PFe<br />

=<br />

t<br />

⎛ − o<br />

⎞<br />

⎜1<br />

− e T<br />

⎟<br />

⎝ ⎠<br />

2 PCu<br />

+ PFe<br />

PCu<br />

b = − P<br />

t Fe<br />

o<br />

⎛ − ⎞<br />

T<br />

⎜1<br />

− e ⎟<br />

⎝ ⎠<br />

2 PCu<br />

+ PFe<br />

b =<br />

to<br />

⎛ − ⎞<br />

T<br />

⎜1<br />

− e ⎟P<br />

⎝ ⎠<br />

Cu<br />

⋅ ( P P )<br />

Cu<br />

+<br />

t o − ⎞<br />

T<br />

e<br />

P<br />

−<br />

P<br />

Fe<br />

Cu<br />

Fe<br />

12

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