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6 . Kazanç marjı, faz marjı , Bode diyagramı. k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1). Nyquist diyagramı. Bode diyagramı. [ gm ,pm,w2,w1]=margin(sys1). K=2000: gm=3, pm=32.61, w2=14.14 rad/s, w1=7.49 rad/s. K=2678.6: gm=2.24, pm=23.52 o , w2=14.14 rad/s, w1=9.05 rad/s. - PowerPoint PPT Presentation
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)s(G)s(R
K
)s(C )s(KG1
)s(KG)s(H
)(ie)i(KG)i(KG
)dB()i(KGlog20M )i(Glog20)Klog(20M
)200s30s(s
1)s(G
2
k=1000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)
6. Kazanç marjı, faz marjı, Bode diyagramı16
Nyquist diyagramı
Re
ImdüzlemiKG
1a
a
1log20GM
M
is
Bode diyagramı
180
log
0
MG
M
log
)dB(M
0
dB6:GMo65:PM 100
(deg)PM
[gm,pm,w2,w1]=margin(sys1)
3K
Kc dB54.9G)3log(20Klog20Klog20 Mc
26
K=2000: gm=3, pm=32.61, w2=14.14 rad/s, w1=7.49 rad/s
6000Kc
dB7GM
24.210 )20/7(
6.267824.2
6000K
36 K=2678.6: gm=2.24, pm=23.52o, w2=14.14 rad/s, w1=9.05 rad/s
9.05 rad/s (1.44 Hz) te 65-23.52=41.48o faz ekle
Ts1
aTs1)s(Gc
pz 2
2m
aT
1
1a
1asin m
Faz ekle (phase-lead) devresi 1a
aT
1
T
1
o
idüzlemis
1R
2RC1V 2V
2
21
R
RRa
CRaT 1
φM=41.48 : a=4.92 ωM=9.05: T=0.0498 92.3R
R
2
1 245.0CR1
Faz azalt (phase-lag) devresi 1a
1R
2R
C
2V
1V
21
2
RR
Ra
CRaT 2
)Ts1(
)aTs1(
a
1)s(Gc
Faz ekle-azalt (phase lead-lag) devresi
46
Faz ekle devresi: PM artar, sönüm artar, aşma azalır, ess değişmez
Faz azalt devresi: PM azalır, sönüm azalır, ess (1/a) kadar azalır
)i(M
oMoM707.0
b
0-ωb : Band genişliği (BW)
dB3)707.0(10log*20 pM
p
oss M1
1e
1a 2a 4a
1a 2a 4a
1n
05.03.0
7.0
05.0
3.0
7.0
as
a)s(G
atae)t(g
Köşe frekansı=a (rad/s)
2nn
2
2n
s2s)s(G
)tcos(Ae)t(g t
1n
Rezonans
56