sibode.py

Created by condouarthur

Created on June 01, 2022

1.12 KB


# Type your text here
GdB(w)=20log(abs(H(jw)))
P(w)=arg(H(jw))

DIAGRAMME DE BODE

INTEGRATEUR

H(p)=K/P
H(jw)=K/jw

GdB(w)=20log(K)-20log(w)
pente: -20dB/decade 
coupe abscisse quand w=K
P(w)=-90 cst


1ER ORDRE

H(p)=1/(1+Tp)
H(jw)=1/(1+jwT)

Gain:
GdB=20log(module de H)
w->0: GdB->20log(K)

Phase:
P=-arctan(Tw)
w->0: P->0
w->+infini: P->-90

wc=1/T

pour w=wc l'ecart entre asympt et courbe =-3dB
pour w=wc/2 et w=2wc l'ecart =-1dB

2ND ORDRE

fonction de trsft (voir seq3)

GdB=20log(K)-10log[(1-w2/wo)2+4ksi2w2/wo2]
P=-arctan[(2ksiw/wo)/(1-w2/wo2)]

---Pour ksi<1---
Gain:
w->0: GdB->0

w->+infini: pente à -40dB/decade

pt commun asymptotes : w=wo

si ksi<0,7 : resonance (pique sur la courbe)
max de la courbe en wr=wo(1-2ksi2)
QrdB=20log[1/(2ksi(1-ksi2)]

Phase:
w->0 P->0
w->+infinie P->-180
P(wo)=-90


---Pour ksi>1---

H(p)= K/(1+T1p)(1+T2p)
w1<w2

Gain:
w1>w>0
GdB->20logK

w1<w<w2
pente -20dB/decade

w>w2
pente -40dB/decade

Phase:
w1>w>0: P->0
w1<w<w2: P-> -90
w>w2: P-> -180


---Pour ksi=1---

H(p)= K/(1+Tp)2

Gain:
w->0: GdB->0
w->+infini: pente -40dB/decade

Phase: 
w->0: P->0
w->+infini: P->-180
P(wo)=-90

During your visit to our site, NumWorks needs to install "cookies" or use other technologies to collect data about you in order to:

With the exception of Cookies essential to the operation of the site, NumWorks leaves you the choice: you can accept Cookies for audience measurement by clicking on the "Accept and continue" button, or refuse these Cookies by clicking on the "Continue without accepting" button or by continuing your browsing. You can update your choice at any time by clicking on the link "Manage my cookies" at the bottom of the page. For more information, please consult our cookies policy.