|
|
|
|
|
|
|
|
UWAGA |
|
|
|
|
|
|
|
Ze względu na przebieg charakterystyki doswiadczalnej przyjmujemy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ponieważ sygnał wejściowy podany jest na wejście odwracające (ujemne) wzmacniacza |
|
|
|
|
|
|
postać modelu jako obiekt inercyjny I rzędu : |
|
|
|
|
|
|
|
|
w= |
34000 |
T= |
2,94117647058823E-05 |
|
|
|
|
|
|
|
|
|
|
Dane należy wpisać w pola oznaczone tym kolorem |
|
|
|
|
|
|
|
|
sinusoida sygnału wyjściowego jest odwrócona (fakt ten jest uwzględniony w transmitancji obiektu |
|
|
|
|
|
|
postać transmitancji modelu: |
|
|
|
G(s)= - k/(T*s+1) |
|
|
k |
1,35 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
przez znak minus) - można przyjąć, że odpowiada to przesunięciu sygnału wyjściowego o wartość: - 180 o |
|
|
|
|
|
|
Identyfikacja obiektu wymaga określenia współczynnika proporcjonalności k oraz stałej czasowej T; poszukiwania parametrów modelu rozpoczynamy wpisując w pole komórki AA2 częstotliwości będącej |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
dalsze przesunięcie wynika z właściwości obiektu, |
|
|
|
|
|
|
współrzędną odciętą punktu przecięcia asymtoty poziomej oraz stycznej do charakterystyki doświadczalnej o nachyleniu - 20 dB/dekadę |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
kąt przesunięcia należy mierzyć pomiędzy początkami sinusoid sygnału wejściowego i wyjściowego |
|
|
|
|
|
|
w komórkę AA3 wpisujemy wartość k wynikającą z równania asymptoty poziomej L= 20logk; L odczytujemy z wykresu na podstawie położenia punktów doświadczalnych |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
zmiana znaku kąta wynika z analizy wzajemnego |
|
|
|
maksymalny błąd identyfikacji nie powinien przekraczać 3 dB |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Model |
|
|
|
|
Błąd |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
położenia przebiegów względem siebie |
|
|
|
|
|
|
|
|
|
|
El.inercyjny II rz. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(pomiary) |
dane do wykresu amplitudy |
|
|
dane do wykresu fazy |
|
|
|
|
|
|
k= |
1,35 |
w= |
30000 |
T=1/w= |
2,94117647058823E-05 |
|
|
|
|
|
|
|
|
|
Dane do charakterystyki statycznej |
|
|
|
|
|
|
f; Hz |
w=2*p*f |
X czyli (U1); V |
Y czyli (U2); V |
stosunek M= Y/X |
L(w)=20*log(M) |
f; deg |
w=2*p*f |
L(w)=20*log(M) |
|
w=2*p*f |
f; deg |
f; Hz |
w=2*p*f |
|
|
|
|
P(w) |
Q(w) |
M |
L(w); dB |
f; deg |
|
|
w=2*p*f |
L(w); dB |
w=2*p*f |
f; deg |
|
L(w); dB |
f; deg |
300Hz |
|
|
10kHz |
|
|
|
400 |
2513,27412287183 |
0,6 |
0,81 |
1,35 |
2,60667536990012 |
-4 |
2513,27412287183 |
2,60667536990012 |
400 |
2513,27412287183 |
-4 |
400 |
2513 |
|
|
|
|
1,34266349754213 |
-0,099249453649919 |
1,34632675145445 |
2,58300950581262 |
-4,22760522865984 |
|
|
2513 |
2,58300950581262 |
2513 |
-4,22760522865984 |
|
0,0236658640875 |
|
|
|
|
|
|
|
|
700 |
4398,22971502571 |
0,6 |
0,81 |
1,35 |
2,60667536990012 |
-11 |
4398,22971502571 |
2,60667536990012 |
700 |
4398,22971502571 |
-11 |
700 |
4398 |
|
|
|
|
1,32778100385035 |
-0,171761349005331 |
1,33884441037709 |
2,53460219534342 |
-7,37083224922104 |
|
|
4398 |
2,53460219534342 |
4398 |
-7,37083224922104 |
|
0,072073174556705 |
|
U1 |
U2 |
|
U1 |
U2 |
|
|
1000 |
6283,18530717959 |
0,6 |
0,84 |
1,4 |
2,92256071356476 |
-18 |
6283,18530717959 |
2,92256071356476 |
1000 |
6283,18530717959 |
-18 |
1000 |
6283 |
|
|
|
|
1,30541879888331 |
-0,241240829907636 |
1,32752227043183 |
2,46083631024185 |
-10,4701138608221 |
|
|
6283 |
2,46083631024185 |
6283 |
-10,4701138608221 |
|
0,461724403322905 |
|
0,52 |
0,615 |
|
0,5 |
0,57 |
|
|
1500 |
9424,77796076938 |
0,6 |
0,8 |
1,33333333333333 |
2,498774732166 |
-26 |
9424,77796076938 |
2,498774732166 |
1500 |
9424,77796076938 |
-26 |
1500 |
9425 |
|
|
|
|
1,25366874476829 |
-0,347516163405811 |
1,30094304465537 |
2,28516567091908 |
-15,4933390651226 |
|
|
9425 |
2,28516567091908 |
9425 |
-15,4933390651226 |
|
0,213609061246916 |
|
1,07 |
1,16 |
|
1 |
1,04 |
|
|
2000 |
12566,3706143592 |
0,6 |
0,76 |
1,26666666666667 |
2,05324683794296 |
-32 |
12566,3706143592 |
2,05324683794296 |
2000 |
12566,3706143592 |
-32 |
2000 |
12566 |
|
|
|
|
1,18774926780707 |
-0,438991102829334 |
1,26627860739236 |
2,05058539863708 |
-20,2842689184894 |
|
|
12566 |
2,05058539863708 |
12566 |
-20,2842689184894 |
|
0,00266143930587 |
|
1,5 |
1,56 |
|
1,5 |
1,49 |
|
|
3000 |
18849,5559215388 |
0,6 |
0,68 |
1,13333333333333 |
1,08715324645186 |
-43 |
18849,5559215388 |
1,08715324645186 |
3000 |
18849,5559215388 |
-43 |
3000 |
18850 |
|
|
|
|
1,03261698785009 |
-0,57248151935327 |
1,18069171827265 |
1,44273033956226 |
-29,0039292097492 |
|
|
18850 |
1,44273033956226 |
18850 |
-29,0039292097492 |
|
-0,355577093110408 |
|
2 |
2 |
|
2 |
1,97 |
|
|
4000 |
25132,7412287183 |
0,6 |
0,61 |
1,01666666666667 |
0,143571692542468 |
-54 |
25132,7412287183 |
0,143571692542468 |
4000 |
25132,7412287183 |
-54 |
4000 |
25133 |
|
|
|
|
0,87298739292443 |
-0,645310771832446 |
1,0856025886336 |
0,713417404676009 |
-36,4717478693533 |
|
|
25133 |
0,713417404676009 |
25133 |
-36,4717478693533 |
|
-0,569845712133541 |
|
2,5 |
2,8 |
|
2,5 |
2,76 |
|
|
5000 |
31415,9265358979 |
0,6 |
0,55 |
0,916666666666667 |
-0,755771217787995 |
-62 |
31415,9265358979 |
-0,755771217787995 |
5000 |
31415,9265358979 |
-62 |
5000 |
31416 |
|
|
|
|
0,728244894675082 |
-0,672896709154562 |
0,991529428615894 |
-0,073887827946634 |
-42,7378664038299 |
|
|
31416 |
-0,073887827946634 |
31416 |
-42,7378664038299 |
|
-0,681883389841361 |
|
3,02 |
3,28 |
|
3 |
3,21 |
|
|
6000 |
37699,1118430775 |
0,6 |
0,49 |
0,816666666666667 |
-1,7591034071026 |
-70 |
37699,1118430775 |
-1,7591034071026 |
6000 |
37699,1118430775 |
-70 |
6000 |
37699 |
|
|
|
|
0,60553548511674 |
-0,671416175834358 |
0,904142082256765 |
-0,875266330947426 |
-47,9533943161556 |
|
|
37699 |
-0,875266330947426 |
37699 |
-47,9533943161556 |
|
-0,883837076155173 |
|
3,5 |
3,78 |
|
3,5 |
3,64 |
|
|
7000 |
43982,2971502571 |
0,6 |
0,46 |
0,766666666666667 |
-2,30786837404139 |
-76 |
43982,2971502571 |
-2,30786837404139 |
7000 |
43982,2971502571 |
-76 |
7000 |
43982 |
|
|
|
|
0,504976235241163 |
-0,653235730358675 |
0,825662108598651 |
-1,66395291300154 |
-52,2946033751769 |
|
|
43982 |
-1,66395291300154 |
43982 |
-52,2946033751769 |
|
-0,643915461039854 |
|
4 |
4,26 |
|
4 |
4,12 |
|
|
8000 |
50265,4824574367 |
0,6 |
0,43 |
0,716666666666667 |
-2,89365589608114 |
-78 |
50265,4824574367 |
-2,89365589608114 |
8000 |
50265,4824574367 |
-78 |
8000 |
50265 |
|
|
|
|
0,423774524550742 |
-0,626506792050409 |
0,756370020653583 |
-2,42531386208049 |
-55,9252450323704 |
|
|
50265 |
-2,42531386208049 |
50265 |
-55,9252450323704 |
|
-0,468342034000651 |
|
4,5 |
4,76 |
|
4,5 |
4,6 |
|
|
9000 |
56548,6677646163 |
0,6 |
0,4 |
0,666666666666667 |
-3,52182518111362 |
-84 |
56548,6677646163 |
-3,52182518111362 |
9000 |
56548,6677646163 |
-84 |
9000 |
56549 |
|
|
|
|
0,358449462070203 |
-0,596171751206275 |
0,695634080386214 |
-3,1523829853386 |
-58,9835264759635 |
|
|
56549 |
-3,1523829853386 |
56549 |
-58,9835264759635 |
|
-0,36944219577502 |
|
5 |
5,36 |
|
5 |
5,08 |
|
|
10000 |
62831,8530717959 |
0,6 |
0,38 |
0,633333333333333 |
-3,96735307533667 |
-85 |
62831,8530717959 |
-3,96735307533667 |
10000 |
62831,8530717959 |
-85 |
10000 |
62832 |
|
|
|
|
0,3057696678799 |
-0,565061024883579 |
0,642486615921191 |
-3,84271829976573 |
-61,5809917676455 |
|
|
62832 |
-3,84271829976573 |
62832 |
-61,5809917676455 |
|
-0,12463477557094 |
|
|
|
|
|
|
|
|
11000 |
69115,0383789754 |
0,6 |
0,37 |
0,616666666666667 |
-4,19899052633297 |
-87 |
69115,0383789754 |
-4,19899052633297 |
11000 |
69115,0383789754 |
-87 |
11000 |
69115 |
|
|
|
|
0,263042191350008 |
-0,534710916189577 |
0,595908515061256 |
-4,496408176126 |
-63,8058834572423 |
|
|
69115 |
-4,496408176126 |
69115 |
-63,8058834572423 |
|
0,297417649793032 |
|
|
|
|
|
|
|
|
12000 |
75398,223686155 |
0,6 |
0,35 |
0,583333333333333 |
-4,68166412066736 |
-88 |
75398,223686155 |
-4,68166412066736 |
12000 |
75398,223686155 |
-88 |
12000 |
75398 |
|
|
|
|
0,228128140189384 |
-0,505895780679579 |
0,554953141495449 |
-5,1148737158922 |
-65,727529411186 |
|
|
75398 |
-5,1148737158922 |
75398 |
-65,727529411186 |
|
0,433209595224845 |
|
|
|
|
|
|
|
|
13000 |
81681,4089933346 |
0,6 |
0,33 |
0,55 |
-5,19274621011512 |
|
81681,4089933346 |
-5,19274621011512 |
13000 |
81681,4089933346 |
|
13000 |
81681 |
|
|
|
|
0,199365021890797 |
-0,478953408589038 |
0,518789725758496 |
-5,70017266758699 |
-67,40041189592 |
|
|
81681 |
-5,70017266758699 |
81681 |
-67,40041189592 |
|
0,507426457471872 |
|
|
|
|
|
|
|
|
14000 |
87964,5943005142 |
0,6 |
0,32 |
0,533333333333333 |
-5,46002544127475 |
|
87964,5943005142 |
-5,46002544127475 |
14000 |
87964,5943005142 |
|
14000 |
87965 |
|
|
|
|
0,175471147358319 |
-0,453977890847656 |
0,486709409128004 |
-6,25460515678704 |
-68,8675284430376 |
|
|
87965 |
-6,25460515678704 |
87965 |
-68,8675284430376 |
|
0,794579715512289 |
|
|
|
|
|
|
|
|
15000 |
94247,7796076938 |
0,6 |
0,31 |
0,516666666666667 |
-5,73579113098742 |
|
94247,7796076938 |
-5,73579113098742 |
15000 |
94247,7796076938 |
|
15000 |
94248 |
|
|
|
|
0,155459243904451 |
-0,43093201639663 |
0,458115683284265 |
-6,78049680376122 |
-70,163030045796 |
|
|
94248 |
-6,78049680376122 |
94248 |
-70,163030045796 |
|
1,04470567277381 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
|
0 |
0 |
|
|
|
|
1,35 |
0 |
1,35 |
2,60667536990012 |
0 |
|
|
0 |
2,60667536990012 |
0 |
0 |
|
-2,60667536990012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|