Análisis Transientes de Sistemas Dinámicos - Jorge Toro

   

Cgdfrgtfrjf `n [jstnogs `n kfetrfc gpcjkg`f Geçcjsjs trgesjnetn `n sjstnogs `jeçojkfs 71-=2-4=47, J Pêrojef 4=47- 4=44 Ifrln Cujs Pfrf Pjefkf Agkuctg` `n Jelnejnrïg Onkçejkg y Kjnekjgs `n cg ]rf`ukkjûe (AJOK]) Nskuncg [upnrjfr ]fcjtêkejkg `nc Cjtfrgc Lugygqujc  ‛  Nkug`fr  Nkug`fr  ifcutfrfMnspfc.n`u.nk

Fdintjvf lnenrgc Gegcjzgr cgs kgrgktnrïstjkgs prnsnetns ne rnspunstgs `n sjstnogs sj stnogs ne auekjûe `nc tjnopf g trgvês `n kfoge`fs `n OGPCGD.

Fdintjvfs nspnkïajkfs   Fdtnenr lrçajkgs `n cgs rnspunstgs ne nc tjnopf `n sjstnogs, g pgrtjr `n cg udjkgkjûe `n

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 pfcfs y knrfs `n sjstnogs `n prjonr y snlue`f fr`ne getn ueg netrg`g `n tjpf nskgcûe, usge`f OGPCGD.   Gegcjzgr nc jopgktf `n cfs pfcfs y knrfs ne cgs rnspunstgs `n sjstnogs, ne dgsn gc geçcjsjs trgesjtfrjf y udjkgkjûe `n nstfs ne pcgef [.   Tngcjzgr geçcjsjs kfopgrgtjvf `n rgpj`nz, ejvnc `n sfdrnsgctf, arnkunekjg egturgc `nc sjstnog, netrn ftrfs, `n cgs rnspunstgs fdtnej`gs.

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Ninrkjkjf 7

Jcustrgkjûe 79 lrçajkg `n cg rnspunstg nskgcûe pgrg cfs vgcfrns `n H

 

Fdtnekjûe `n rnsuctg`fs pgrg nc ninrkjkjf 7 Kçckucf `n vgcfrns `n cg rncgkjûe `n gofrtjlugojnetf y cg arnkunekjg `n fskjcgkjûe gofrtjlug`g. @n cg sjlujnetn auekjûe `n trgesanrnekjg9

()  ?    +  +   () ]grg H?4=

  7= ()    ?  4.> > + 7= ()  + 4.

Kfopgrge`f kfe cg nkugkjûe kgrgktnrïstjkg `n snlue`f fr`ne

 ∜      + 4  +     ?  ? ∙  7= ? ;.71 /    ∙ 7=

α?

  4.>  ? =.;:>  4 ∜ ;.71

[n rngcjzg nc ojsof prfkn`jojnetf pgrg tf`fs cfs vgcfrns `n H sncnkkjfeg`fs Pgdcg 79 rnsuctg`fs `n arnkunekjg `n fskjcgkjûe y agktfr `n gofrtjlugojnetf pgrg cfs `jstjetfs vgcfrns `n H

 ? 4= 

 ? > 

 ? 7 

 ? =.2 

 ? =.> 

  ? ;.71  ?=.0 

  ? 7.>2  =.8  H4?=.28  H;?78  H0?>8  H>?4=8  d?>8  I?48  %Krngkjfe `n auekjûe `n trgesanrnekjg A7? ta(H7,XI d H7_)8  A4? ta(H4,XI d H4_)8  A;? ta(H;,XI d H;_)8 A0? ta(H0,XI d H0_)8  A>? ta(H>,XI d H>_)8  stnp(A7,A4,A;,A0,A>)  'Tnspunstg nskgcûe `n ueg auekjûe `n tjtcn('Tnspunstg tjtcn( trgesanrnekjg `n 4`f fr`ne') fr`ne')  'H?=.>', ,'H?=.2', 'H?=.2','H?7' 'H?7', ,'H?>' 'H?>', ,'H?4=') 'H?4=')  cnlne`('H?=.>' cnlne`( lrj` fe  stnpjeaf(A7)  stnpjeaf(A4)  stnpjeaf(A;)  stnpjeaf(A0)  stnpjeaf(A>)  Ninrkjkjf 4

%Ninrkjkjf 4  %Qnktfrns g utjcjzgr  H?X=.> =.2 7 7> 4=_8  tgf?X=.7 =.> 7 > 7=_8  %]grtn G  %Auekjûe `n trgesanrnekjg `n prjonr fr`ne kfe nc ojsof vgcfr `n H  A7?ta(H(;),Xtgf(7) 7_)8  A4?ta(H(;),Xtgf(4) 7_)8  A;?ta(H(;),Xtgf(;) 7_)8  A0?ta(H(;),Xtgf(0) 7_)8  A>?ta(H(;),Xtgf(>) 7_)8  %Tnspunstgs nskgcûe pgrg `jvnrsfs vgcfrns `n tgf   ajlurn()  sudpcft(4,7,7) 

 

stnp(A7,A4,A;,A0,A>)  'Tnspunstg nskgcûe `n auekjûe `n trgesanrnekjg tjtcn('Tnspunstg tjtcn( `n prjonr fr`ne pgrg `janrnetns vgcfrns `n tgf') tgf' )  cnlne`('tgf?=.7' cnlne`( 'tgf?=.7', ,'tgf?=.>' 'tgf?=.>', ,'tgf?7', 'tgf?7','tgf?>', 'tgf?>','tgf?7=') 'tgf?7=')  lrj` fe  sudpcft(4,7,4)  pzogp(A7,A4,A;,A0,A>)  lrj` fe  %]grtn D  %Auekjûe `n trgesanrnekjg `n prjonr fr`ne kfe nc ojsof vgcfr `n tgf  A1?ta(H(7),Xtgf(4) 7_)8  A