Fundamentos de Lineas de Transmision

m

m
 m

m  mm   m m m m m m m mm     mm mm     mm mm     mm mm

     mm mm ! !  mm " "# #$ $ mm % %" "& &''  mm     mm

m

m m m m m m

›




 
          m m m m         m m m m m ³Los ojos ven y los oídos oyen, la mente piensa´
m m

›
 
       

m

m

     Ú m
mm mm  m  mm m
 m  m m  m m   m m
m m m m m   m
 m  m  m m  m m m   m  m m m  m m m  m
mm m m  m m  mm mm m   mmm m  m  m 
 m m  m m m m m  m  m  um ? m  m m m   m
mm m mmm m  m   m  m m m 
 m
m m m   m 
mm  mm m   mm mmm m ?m m  m m m    m m
m m m  m  m m   m   m m   m  m
 m  m  m m   m 
 m m   m
m m  m m m  m  m m
 m  m
m  m m  mm  mm  m m
mm Úm  m
m m  m   m m m  m m  m mm  mm  mm mmm mmm  mm m  m
 m  m  m m  m m  m
 m
m m
m m  m  m  m m m  m  m m m m m  m  m m m  m mm m
 m
m  mm m   m mm  m m

›
 
       

m

m

Ú

›Ú
Ú 

 m  m  m m
m m m  m m m   m  m m  m  
m  mmm
m
m mm  m mm mm
 m m  mm mm mÚ m
mm mm  mm
m
 mm m  m   mm   m m Ústudio de Ruta

6m!m"   mm#  mÚ mm$  m

m m m

›
 
       

m

m

m? mm   m
 m  mm  mm  m
m m  m   m m   m
 m  m  m 
m m %m m  m m   m  m m m   m m m   m Úm   m m m
m m m m
m   m m m mm m m  m m
mm m mm m m › 
     &  m m m m m m m

m   m  m  

m m m m mmm
 m mm   mm m m  m  m m
m   m m m m m m m  m m  m m  mm mm m' m
  mm 

mmm  mm mm  m mm m 

mmmm
m  m m  m m  m m mm 
m mm
mm   m m  m  m 
mm m m

  m m m (
   m m m m  m mmm  m
 m'
 m mm m mm 
m mm  m m )   m m  mm m mm
 m  m m mm  m  m m m m ? m m m  m  m
 m  m mm  mm  m m  m  m m  m m m m %m m m )  m m  m  m m
m m  m  m  m  *m m m  m  m mmm 
  mm m m mm mm
mmm m   mm m  m mmm
mmm  m mm
mm mm m m m  m m  *mm m m mmmm  m m  m  m  m   m m  m m
m  m  m  m   m
 m  m   m
 m  m  m  mm
 m   m %m  mmm
' m

›
 
       

m

m

Mm  m m m   m  m   m  m  m m  m  m m m  mm   mm m m m mm m ? m mm mm
 m   m mm
mm m

 m m m  m 
m m
  m m  m m m  m  m  m m  

m m m m  m  m Ú'm  m  m  m  m m  m m m  mm m m m m m  m  m m   m

m  m m mm m 

mmmm m m m m  mmm m mm  mm  m m Úm m mm m m mmm m
mm m mm m m m    m
 m m mm m  m m  m m !m (m m
  m  m
  m m
m  m m 
m m  m mmm  m +m ,m m  mm
 mm  mm m mmm -m Úm m 
 m m  

m m m m m  m  m

 m m  m m   m   m
m m m m m   m m m .m Ú m %m m  m m m  m   m 
m m   m mmmmm 
 m
mm m m
 m m m
  mm  mm m  m m m m /m ,m m   m m   m m m  m   m m m  m m m m   m m  m m 
m  m m    m mm mum m

›
 
       

m

m

›  m Úm mm mm
 m m mm  mmmm m
m m   m m m m m
 m
 m m m m m m  m  m  m
 m  m  m  m
m  m m m
 m m  m m  m m
m m  m   m
m m  m m
m   m m m
  m   m m m  m  m
 m  m m  m m
m  m m m  m  m  m Ú m
 m
m  mmmm
m mm mmm ) m m m m  m m   m  m  m
m 0 m m  m
 m mm
mm m mm m m  m m m (mm   mm m (mm  m m (m m m  mm  m  m mm m m Ú mm mm mm  m
 m m mm m  m m Ú m  m m m % m 
 m
 m m  m m  
m 1 
m   m m  m  m  m 
 m
 m m  mm  m2m(m  m m (m m  m  m m  m m m
m m  m m m m  mm  m mm m m (mm m mm  mm m m mmm
mm m  m m (mm m
% mm
 mm m m

›
 
       

m

m

› Ú        ) m m m m  m   m  m  m  m 
m m  m m  m  m
m m m  m Ú m m 
 m
 m  m m Ú %m  m  m m  m  m 
 m m m m
m % m  m m  %m m  m m m m  m '
 m
 m m m  m 

m m    m m   m m  m m m   m m  m  m m m ?m
m m  m m m m m m   m m m Ú m  m
m m m m m m  m 3 m m  m
m m  m mm m    m
m m m    m m   mÚ   m m   m 
 m   m m m  m m  m  m  m  m m  m 'm m m
  m m  m m m m m m ,
m m   m m  m m  m m  m  mm m &   m m  m 'm  m m  m m  m

 mm m m  m m% m  mm m &  m m m m m m m m m  m m    m m  m m m  m m m %m  m
 m  mm  m mm
 m m  m m (m
 mmm m mm m   m mm m %  mmm m ,
m m  m m m   m m  m 
 m
 m m  mm m & mmm m m (m  mm  mm m

›
 
       

m

m

m (m    m 3  m m m 
   m  m  %m m m $mm mm m m m (m mm  m   m m 4  mm m  m  m  mm m $ m m  m m m
 m m  m 
 m m  m m m  m m  m Úm  m  m m m  m 'mmmm
mm m m ?  m  m m   m  m m m m m  m m  m   m m   m m 
m m  m
m m  m m  m  mm m m m m  m5m m Ú m m  m m m    m &  m m m   m   mmm m ,
m m   m 'm 6 m m  m 1 m  m m2m m  m  % m m $ m m 4 mm m7 m147mm742m m Ú mm m m (  m mm
 m m
 m  m m  m m 

›
 
       

m

m

›Ú   
   m  m m m m m  m m m  m m % m  m m m m 
 m  m
m m ) m m m m   m  m 
m  m
 m m m
 m m m  m m  m m m ?m  m   m m m m
m  m m  m  m %m m  m &
m m  m m  m
 mm m Ú  m m ,
m m  m m  m   m
m m  m # m
 m    mmm
 m m 8  mm  m  m m " mm mm m Ú
m  mmm
 mm'm m ( mm m m m 4  m  m   m 
m m   m    m m m   m 
  mm
 m m  mÚm m
    m m 4 m m   m 'm m

 m $ m ,3m m m m m m 4 m m  m 'm m

 m  m % m m  m mm(m"(mm m mm m m ( m %m'mm  mm m m Mm  mm m m  mm mm m 9  mm  m'mm

m m 9 m m m  m m 9  mm mmm

›
 
       

m

m

m ? mm m
 m m )  m
 m m ( 
m %mm %m Ú  m m 3  m 
m m 'm m
 m  m   m  m
 m   m 
 m m m  m    m m    mm m 8  m   m m%  m m   mm m    m m Mm m  m 'm m

 m  m  m   m   m   m  m
  m   m m  m m m & m  m m (m  m m m " mm m m m Ú mm m  m m m 

›
 
       

m

m

›   

       m ?m m
m m
 m   m m m m m m  m m  m m m  m m  m m    m   m  m  m m (m m  m  m  m m m  m m  m  m  m m m  m m  m  m m
m mm
  mm  m m m m % m m
mmm :!;m 1 m   2m m (mm>m>mm  m

  m  m
 m
m m mm  m  mm m   mm  m

  mm m m m mm m

&  m m  m  m 
 m m m m  m  m

m
m
mm  m m?m  @mmm  m   mm  mm Ú mm  m1#2mm m
m mAm mmÚm
mm   m m  m  mm m mAm m1>2mm m m
mm m m m m
m m  m m m  m m
 m  m  m M m m

›
 
       

m

m

  m #m Bm !C>m m   m 1#2m m   m m   m
 m   m  m m m   mm m

( m  m  m >m m 'm #m m  m m  m m

  m mmmmm
m   mm m mm  m1#2m m

Ú m  m
m m   m m  m (m #m 1(#2m m m

 m(#mBm>(C#mm&  m  m   m m>(m m'mm#mm m (#m m 'm m  m m Ú m  m
m  m  m  m
 m   m mmm
 mm m

(m
m mm m m m(m#m1(#2mm m mm

 m 1>2m
 m m m Am (
m (m Bm ()m 1>2m
 m   m  m m m   m( m(#mm'mm>mm'm(mm'mm m (mmm  m m m
 m
 mm mm m m Am(
m1(2m m

Úmm m(mBm1>(2m1>2m1>2m
m mm  m mm

4m m m  mmm#mm(#m
m  m m  m
 m

 m
 m  mm m   mm  mm m

M  m  m 
 m m   m 1>(m >m >m #m (#2m m

 m mm m
m mmm  mm m  m m

(  m  m m m   m m   m m   m m m 1!2m m  m m

 m 1-.2m   m m   m  m m m m   m    m m ?m  m  mm>(m>m>m(#mm(mm  mm m mmmm m m   m m  m  m m 
m m m 'm  mmm 
    

   &mmm m? m"  mm
 m  m mm
m  m  m
m m |
   m  m m  m m m m  m m m
mmm m m   m m

›
 
       

m

m

m m m

 6m+mÚ       Ú
   

 
      m

m Úm m  m m      
 m  m  m m m      
 m 
 m m  m %m m  *m m mm
m m  m
m % mm  m mm m 
m m1 m mm m
m D  m
  mm m m
 2m  m m m 
m
 m m  m
m  % m  m 
m m 
  ›   m

? m   m   m m m  m m  m m m m 
  m


 m  m m ' m m  m m   m
 m m m   m "m   m  m 
m  m m m  m m  m m m

›
 
       

m

m

 m m m   m m   m  m m m m m m m  m  m 
m  m  m
m m m m  m m m m mm mmm  mm m m Ú m  m  m 
m  m m 
m m m 
m m      
   m m  m  m m m
 m m  m m  m m m m  m
m D  mm m

 mm m m , m m m '
 m m m  m
 m m '
m m    m m   mm  m mmm  m m
mm  m mmm mm  
 m
m ? m  m
m mm m m
m mm m m   m m "m

m

 m

m

m

 m

m

 


 
  m m "m m  m mm  mm m mm   m  m m
   m   m   m m   m  
 
 m m (   m  m
 m m mm m
  m m   m m
    mm m  mm mm   m
 m  m m
    mm  m
m m m Õ
 
  M m m  m m   m m    m
m m  m m
  m m  mmm m
m?m'
m m 
m 
 m m  m m 
   m   m m  m m   m m  m  mm m  ! 
   m
mm   m   mm  mm m  !m? m m
m m m m

›
 
       

m

m

m  m
m m m  mÚm m  m m m) mm m m
    m
 m m mm m " 1 mm#  M m m 
  2m ? m  m m m   m    m m $  m 
 m
 m  m m m
m m  m  m m  
 m m m m

m ,  m6Em!m) m
  m

m m (  m
m
m  mm  m m m
  mm m m  
 m
  %;mFmmGm+/m m

  m+/mFmmFm/;m

m |
 m/;mFmmFmH/m m  &  mH/mFmm m 6m  m  m m
m  m m
    m  m  m    mm  mm  m  

 m  m
 m mm m m   m  m m m   m  m m m    "m ? m 
m

›
 
       

m

m

   m m m   m   m   m m  m 
m    m    mmmm

m ,  m6Em+mmÚ  mm m  m? m"  m

m M m m    m m 
  m m   m m m m 
m m  mm mm m) mm
  mm
m m  m m
m m  m  *m
 m  m m  m m
m
  m  m    m m mm m mm  m   m
m m m

›
 
       

m

m

m   mmm   m  m
  mm
m mm mm  m  m m I mm
 mm m  m
 m m mmm
mm

m  m  m ? m   m 
m 
 m  m m m m 
m m  m 
  m
m
m m  m m m   m m  %m  m m  *m m m m m  m m m  m 
  m
 m m   m 
m m m   m   m
 m m  m m Ú'  m m m  m m m   m 
 m 7 m m 
 m   m m
m m m m m
mm m
m m m m   mmmm m m  m  m  m m Ú m
m  m m m
     
   
 
  $m  m m m  m m  m  %m m m ) m m 
  m 
  m m m   m m   m
  m
m M&m m m 
  m ? m   m m   m
m  m m
m   m 6  m m  m  m m
     
 m m   m   m m m   m   m   m m m m ? m   m
  m
m   m
m  m m m m  m 1 m m  2m m
m  m 1 m  m  2m m m  m 1 m
2m ? m   m
  m
m  m
m  m m  m m  m
m  m
m  m 
 m m   m  m m mm    m
m m  m  m   mm m  m   mm
m m Ú

  Õ
 






m

›
 
       

m

m

Úm 
 m  m m
m  m  m   m m  m m
m 
m m   m m  m   m m m %m m m m m
 m m Ú m
m m  m m m m   m   m  m
m  m  m m  m m m  m m  m
m 1m m  2m Ú m
m