5
) s ( G ) s ( R K ) s ( C ) s ( KG 1 ) s ( KG ) s ( H ) ( i e ) i ( KG ) i ( KG ) dB ( ) i ( KG log 20 M ) i ( G log 20 ) K log( 20 M ) 200 s 30 s ( s 1 ) s ( G 2 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1) 6. Kazanç marjı, faz marjı, Bode diyagramı 1 6

k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

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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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Page 1: k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

)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

Page 2: k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

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

Page 3: k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

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

Page 4: k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

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

Page 5: k= 1 000;ng=1;dg=[1,30,200,0];sys1=tf(k*ng,dg);bode(sys1)

)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