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Ðåôåðàòû ïî ýêîëîãèè

Êðàòêîå ñîäåðæàíèå ïðîèçâåäåíèé

Ðåôåðàòû ïî ôèçêóëüòóðå è ñïîðòó

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Ðåôåðàòû ïî ìàòåìàòèêå

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Ðåôåðàòû ïî àâèàöèè è êîñìîíàâòèêå

Ðåôåðàòû ïî àäìèíèñòðàòèâíîìó ïðàâó

Ðåôåðàòû ïî áåçîïàñíîñòè æèçíåäåÿòåëüíîñòè

Ðåôåðàòû ïî àðáèòðàæíîìó ïðîöåññó

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Ðåôåðàòû ïî àñòðîíîìèè

Ðåôåðàòû ïî áàíêîâñêîìó äåëó

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Ðåôåðàòû ïî áîòàíèêå è ñåëüñêîìó õîçÿéñòâó

Ðåôåðàòû ïî áóõãàëòåðñêîìó ó÷åòó è àóäèòó

Ðåôåðàòû ïî âàëþòíûì îòíîøåíèÿì

Ðåôåðàòû ïî âåòåðèíàðèè

Ðåôåðàòû äëÿ âîåííîé êàôåäðû

Ðåôåðàòû ïî ãåîãðàôèè

Ðåôåðàòû ïî ãåîäåçèè

Ðåôåðàòû ïî ãåîëîãèè

Ðåôåðàò: Îñíîâû òåîðèè öåïåé

Ðåôåðàò: Îñíîâû òåîðèè öåïåé

Íèæåãîðîäñêèé   Ãîñóäàðñòâåííûé

Òåõíè÷åñêèé  Óíèâåðñèòåò

                                         

Êóðñîâàÿ ðàáîòà

ïî ïðåäìåòó : «Îñíîâû òåîðèè öåïåé».

                                                                                         Âûïîëíèë:

                                                                                           Ïðîâåðèë :

 

ã. Íèæíèé Íîâãîðîä

1996 ã.

ÇÀÄÀÍÈÅ ¹1

1.   Îïðåäåëåíèå ïåðåõîäíîé è èìïóëüñíîé õàðàêòåðèñòèê öåïè

Öåïü:                                       i1               i2   


                                                                  + I(t)

              R1                                                                                    R2        U2      

                                         C       


Èñõîäíûå äàííûå:

I(t)

R1 Îì

R2 Îì

C ïÔ
2*(1-e-t/0,6*10   )1(t) 100 200 2000

Òîïîëîãè÷åñêèå óðàâíåíèÿ:

I0=i1+i2

I2R2=I1R1+Uc

(I0-I1)R2= I1R1+Uc

I1(R1+R2)+Uc=I0R2

Äèôôåðåíöèàëüíîå óðàâíåíèå:

(Ñ (R1+R2)/R2)dUc/dt+Uc/R2=I(t)

Õàðàêòåðèñòè÷åñêîå óðàâíåíèå:

          (Ñ (R1+R2)/R2)p+1/R2=0

 Íà÷àëüíûå óñëîâèÿ íóëåâûå :

          p=-1/Ñ(R1+R2)=-1/t

                           t                                                                                                                                                                                    t

          Uc(t)=e-t/tò (I(t)1(t)*R2/ Ñ(R1+R2))et/t dt=(I0*R2/ Ñ(R1+R2))töe-t/tòet/t dt =I0*R2e-t/tet/t ½ =

0                                                                                                               0

=I0*R2e-t/t[ et/t-1]= I0*R2 [1-e-t/t]

          I1(t)=CdUc/dt=(IoCR21/tö) e-t/t =(IoR2/(R1+R2)) e-t/t

          I2(t)=Io[1-R2/(R1+R2)) e-t/t]

          U2=I2*R2= Io[R2-(R22/(R1+R2)) e-t/t]

Ïåðåõîäíàÿ õàðàêòåðèñòèêà:

           hI2=1-R2/(R1+R2)) e-t/t=1-0.67 e-t/t    

hU2=R2[1-(R2/(R1+R2)) e-t/t]1(t)   tö=C(R1+R2)=0.6 10-6

hU2=200[1-0,67 e-t/t]1(t)

Èìïóëüñíàÿ õàðàêòåðèñòèêà:

       gI= R2/(R1+R2)2C)e-t/t+[1-R2/(R1+R2)) ]e-t/td(t)=1.1*106 e-t/t+0.33d(0)

        

          gU2=d hU2/dt=(R2*R2/(R1+R2)tö e-t/t)) 1(t)+ R2[1-(R2/(R1+R2)) e-t/t]d(t)

          gU2=0,22*109e-t/t1(t)+66d(0)




2. Îïðåäåëåíèå îòêëèêà öåïè:

Âõîäíîå âîçäåéñòâèå:

I(t)=2*(1-e-t/0,610  )1(t)

hI2=1-(R2/(R1+R2)) e-t/t1(t)

                          t               

Iâûõ=I(0)hI2(t)+ ò I’(y) hI2(t-y)dy

                         0

I(0)hI2(t)= 2*(1-e0/0,610  ) hU2=0

 

I’(t)=(2/0.6 10-6) e-t/0.6 10

t

 ò(2/0.6 10-6 )e-y/0.6 10[1-0,67 e-(t-y)/0.6 10]dy

0

            t                                                                                                                             t

1)   ò(2/0.6 10-6)e-y/0.6 10dy= -(0.6 10-62/0.6 10-6) e-y/0.6 10½=-2[e-t/0.6 10-1]= 2[1-e-t/0.6 10]

0                                                                                               0

 

                                   t                                                                                                   t                

2) -(2*0,67/0.6 10-6 ) òe-y/0.6 10 ey/0.6 10 e-t/0.6 10dy=(2,23 106)e-t/0.6 10ò1dy=

                                                      0                                                                                                      0

=-2,23 106 te-t/0.6 10=-2,23 106 te-t/0.6 10

                               

I(t)2=-2,23*106 te-t/0.6 10-2e-t/0.6 10+2=2-2,23*106*te-t/0.6 10-2e-t/0.6 10

U2= I(t)2*R2

Âûõîäíîå íàïðÿæåíèå:

U2(t)=400-446*106 te-t/0.6 10-400e-t/0.6 10


3.Îïðåäèëåíèå À×Õ, Ô×Õ :

Ê(jw)=Iâûõ/Iâõ= (U2/R2)/(U2/Zý)= Zý/ R2

                     

Zý=(R2(R1-j/wC))/((R1+R2)-j/wC)

Ê(jw)=(R1-j/wC)/((R1+R2)-j/wC)=Ö(R12+(1/Cw)2)/ (((R1+R2))2+(1/wC)2)      *

*e-jarctg(1/wCR1)+ jarctg(1/wC(R1+R2)) =

=Ö((R1w)2+(1/C)2)/ ((R1+R2)w)2+(1/C)2) *e-jarctg(1/wCR1)+ jarctg(1/wC(R1+R2)) =

Ê(jw)=Ö(10000*w2+0,25 1018)/(90000*w2+0,25 1018)  * e-jarctg(10/0,2w)+ jarctg(10/w0,6)

À×Õ(w)=Ö(10000*w2+0,25 1018)/(90000*w2+0,25 1018)

Ô×Õ(w)=-arctg(106/0,2w)+ arctg(106/w0,6)



ÇÀÄÀÍÈÅ ¹2

1.Îïðåäåëèòü ïàðàìåòðû öåïè : Q0, r

 Öåïü:                             Rã


  å(t)

                                 C1                        C2


                                                                                        Rí  

                                    R1                        R2             


Èñõîäíûå äàííûå:

Íàèìåíîâàíèå

Åä. èçì.

Çíà÷åíèå

Em
Â
200

êÎì 25

L2

ìêÃí 500

C2 = C1

ïÔ 500

R1 = R2

Îì 5
êÎì 50

Õàðàêòåðåñòè÷åñêîå ñîïðîòèâëåíèå êîíòóðà:

r =  w0 L1 = w0 C

Ðåçîíàíñíàÿ ÷àñòîòà:


w0 =1 /Ö LC,

L = L2;

1/C2 =  1/C +1/C Þ Îáùàÿ åìêîñòü: C = C1C2  / C1+C2  Þ C = ð C2 = 1 / 2 C2=250 ïÔ


w0 =1 /Ö 250*500*10-18 =2,8*106

r =  w0 L1 = w0L=2.8*500=1400 Îì

 Äîáðîòíîñòü êîíòóðà:

Q0=r/(R1+R2)=1400/10=140

2.Ðàñ÷åò Uk,, UC1, U2 ,Iã:

Òîê ãåíåðàòîðà:

Iã=Em/(Roe+Rã)

Ðåçîíàíñíîå ñîïðîòèâëåíèå êîíòóðà:

Roe=(pr)2/( R1+R2+ Râí)                                       p-êîýôèöèåíò ïîäêëþ÷åíèÿ ð=1/2

Âíîñèìîå ñîïðîòèâëåíèå íàãðóçêè

Râí=(XC1)2/Rí

XC1=pr=1400/2=700 Îì

Âíîñèìîå ñîïðîòèâëåíèå íàãðóçêè:

Râí=(700)2/50000=9.8 Îì

Roe=1960000/4*(10+9.8)=24747.5 Îì

Òîê ãåíåðàòîðà:

Iã=200/(25000+24748)=0,004 À

Uk= Iã* Roe=0,004*24748=99 Â

Ik= Uk/ pr=99/700=0.14 A

UC1= UC2= Ik* XC1=0.14*700=98 Â

UL= Ik*r=0.14*1400=196 A


U2= Ik*ÖR12+ XC2    =0.14*Ö52+7002   = 98 Â

Àêòèâíàÿ ìîùíîñòü :

P= Ik2* Rk/2=0.142*19.8/2=0.19 Â

Ïîëîñà ïðîïóñêàíèÿ êîíòóðà:

Ïê=w0/Q0=2.8*106/140=20000

Ïîëîñà ïðîïóñêàíèÿ âñåé öåïè:

Ïö=w0/Qïð                                   Qïð=r/(R1+R2+Râíí+ Râíã)

Râíã=7002/50000=9,8 Îì

Qïð=1400/(10+19.6)=47.3

Ïö=2,8*106/47,3=59197

ÇÀÄÀÍÈÅ ¹3

1.Îïðåäåëåíèå ïîñòîÿííîé ñîñòîâëÿþùåé è ïåðâûõ øåñòè ãàðìîíèê

Âõîäíîé ñèãíàë:


Ïðåäñòàâèì ñèãíàë ñëåäóþùèì îáðàçîì:

                    Õ0(t)


                     Õ1(t)


                     Õ2(t)


                                                                 Ñïåêòðàëüíàÿ ïëîòíîñòü äëÿ äàííîãî èìïóëüñà:

                                                                  S0=(8A/w2tè)(cos(wtè/4)- cos(wtè/2))                                                                        

                       -t/2              t/2               

Äëÿ ñèãíàëà Õ0(t)=10 Â =À0/2          À0=2*10=20 Â

Ñïåêòð ñèãíàëà äëÿ Õ1(t) :

Àn1=2*S(jw)*ejwt/2/T=2*8*8(cos(nWtè/4)- cos(nWtè/2))ejnWt/2/T(nW)2tè

W=2*p/T  ãäå T=12 tè


Àn1=(32*12/p2n2)(cos(np/24)-cos(np/12)) ej np/12

Ñïåêòð ñèãíàëà äëÿ Õ2(t) :


Àn2=-(32*12 /p2n2)(cos(np/24)-cos(np/12)) e-j np/12

Ñóììàðíûé ñïåêòð :

Àn=(32*12/p2n2)(cos(np/24)-cos(np/12)) ej np/12-(32*12 /p2n2)(cos(np/24)-cos(np/12))e-j np/12=2j(32*12/p2n2)(cos(np/24)-cos(np/12))sin(np/12)

An=j(8/p2n2)*(sin(np/16)/(np/16))*(sin(np/12)/(np/12))sin(np/12)

Cïåêòð ñèãíàëà:

A0îá=A0+An0=20; An1=j0,51; An2=j0,97; An3=j1,3; An4=j1,58; An5=j1.6; An6=j1.53

Ïîñòîÿííàÿ ñîñòîâëÿþùàÿ:

I0=10 À

Ãàðìîíèêè:

I1=0,51cos(Wt+90)

I2=0.97cos(2Wt+90)

I3=1.3cos(3Wt+90)

I4=1.58cos(4Wt+90)

I5=1.60cos(5Wt+90)

I6=1.53cos(6Wt+90)

2.   Îïðåäåëåíèå ïîñòîÿííîé ñîñòîâëÿþùåé è ïåðâûõ øåñòè ãàðìîíèê âûõîäíîãî ñèãíàëà

×àñòîòíàÿ õàðàêòåðèñòèêà

Ê(jw)=Ö(10000*w2+0,25 1018)/(90000*w2+0,25 1018)  * e-jarctg(10 6/0,2w)+ jarctg(10 6/w0,6

W=p/6tö=900000

Ê(jnW)=Ö(10000*n29000002+0,25 1018)/(90000* 9000002n2+0,25 1018)  * e-jarctg(5.6/n)+ jarctg(1.9/n)

Ê(jW)=0.89e-j17,6  Ê(j2W)=0,72e-j26,8 Ê(j3W)=0,6e-j29,5 Ê(j4W)=0,52e-j29,1 Ê(j5W)=0,46e-j27,43

Ê(j6W)=0,43e-j25,5 Ê(0)=1

Cïåêòð âûõîäíîãî ñèãíàëà:

À0=20*1=20

À1=0.89e-j17,6*0,51ej90=0,45 ej72,4

À2=0,72e-j26,8*0,97ej90=0,65ej63,2

À3=0,6e-j29,5*1,3ej90=0,78ej63,2

À4=0,52e-j29,1*1,58ej90=0,82ej60

À5=0,46e-j27,43*1,6ej90=0,74ej62,6

À6=0,43e-j25*1,53ej90=0,66ej65

Ïîñòîÿííàÿ ñîñòîâëÿþùàÿ âûõîäíîãî ñèãíàëà:

I0=A0/2=20/2=10 À

Ãàðìîíèêè:

I1=0.45ños(Wt+72,4î)

I2=0,65cos(2Wt+63,2î)

I3=0,78cos(3Wt+63,2î)

I4=0,82ños(4Wt+60î)

I5=0,74cos(5Wt+62,6î)

I6=0,66cos(6Wt+65î)



 
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