Laplace Transform Fundamentals and Circuit Equations
F (s) = f (t) dt, f (t) origjinali
, F (s) parafytyrimi Sipa Laplasit
Funksioni-F (t) for te duhet te transformuar and plotesoj DISA kushte: Dirikleut now [for now Kohei qdo range now covers for t <0 duhet te Jete zero ndersa for tjera now! F (t)! <M
Improved-f (t) dhe parafytyrimit F (s) simbolikisht paraqitet: F (s) = L [f (t)] ose F (s) = f (t)
f (t) = Transformimi reverse and apo kundert
and Laplasit
Vetite themelore dhe e transformimit theorem now Laplasit
- Vetia e linearitetit:
- Kombinimi linear parafytyrimeve Line has now funksioneve paraqet Kombinat parafytyrimeve
- Vetia e ndryshimit now perpjeses f (at) to> 0
- Vetia and their translations and Kohei domena ose theorem and its voneses domena kohor:
Nese f (t) është kauzal f (t) s (t) = f (t) by:
- Vetia e shumezimit I funksion eksponencial ose theorem and its translations and domena ndryshores komplekse:
prodhimi-if (t) I 1 ku është theorems and their constant Laplasit
- Rregullat to derive: Theorem Laplasit e e derivative f (t)
-Rregullat to integrate:
Theorem konvulucionit e-ose shumezimi and parafytyrimeve
-Theorem for vlerat fillestare:
rregulla to derive:
1. F (t) Nuk ka nderprerje lim sf (s) = f (o-) = f (0 +)
2. Nese f (t) for t = 0 ka nderprerje I amplitude A:
- Bread marre parasysh Nuk ka in ka in funksioni nderprerje for t = 0 vlen:
- Theorem for vleren ekstreme:
Theorem E LAPLASIT FOR DISA FUNKSIONE elementare
F. HevisajditF (t) = s (t)
F. DIRAK:
F. Eksponencial:
E RRJETAVE elektrike EKUACIONET NE Functioning Form
U = R * I make it operatore U (s) = R * I (s)
ku u (s) = L [u], i (s) = L [and] it relates IU rezistor
IU Connect bobine ne
them forme operatore
Connect And it Kondensatorer domena U t
domena s:
EKUACIONET E RRYMAVE TE PAVARURA
Form-matricore [Zm (s)] [J (s)] = [Vg (s)]
I am ekuacioneve TL
-Matricia: e impedancave now konturave now pavarura
[Z (s)] e-Matricia impedancave now degeve
E-Matricia parafytyrimit now Laplasit for rrymat e pavarura:
E-Matricia parafytyrimit now Laplasit for gjeneratoret ekuivalent now tensioneve now konturave now pavarura
Ekuacionet e tensioneve now pavarura
Form matricore [Yu (s)] (V (s)] = [Jg (s)] I am ekuacioneve TL
Matricia [Yu (s)] = [Q] [Y (s)] [q] t