Effect of Earth on the Capacitance of a Three-Phase Lines

| c
 c  
   
  





|

 Vab 

H
D H  r  q a 
r 
H -  q b
 D 
H -0      0  0 D H  j o   q c
 
 0 D H  

| Vab 

H
D H  r  q a 
r 
H -  q b
 D 
H - 0      0  0 j o  D H   q c
 
 0 D H  

| Vab 

H
D H  r  q a 
r 
H -  q b
 D 
H -0      0  0 j o  D H   q c
 
 0 D H   |

 j o

Ôb ÔbÔ

Ñ

Ôb 

Ñ

Ôb 



   D D D H H H     q 

     a r H H  H   


  r H H  H
0 Ñ  qb 


0    D D D H  H  H       




0
0
 

|

 c
        c    



 

|A

Ôc

r H
D H   qÔ 
r 
H - Ñ qc
 D 
H - 0      0 j o  0 D
H 
Ñ qb
  0 D H  

Ôc 

r H
D H   qÔ 
r 
H - Ñ qc
 D 
H - 0      0 0 j o  D H  Ñ qb
 
 0 D H   

| Vac 

r H
D H   qa 
r 
H -  qc
 D 
H - 0      0  D H  j o  0  qb
 
 0 D H  

|

|

 

 j o

Ôc

Ôc Ñ Ôc  Ñ Ôc  

Ô

   D D D H H H     q 

     a r H H  H   


  r H H  H
0   qc 


0    D D D H  H  H       




0
0
 

 | Ô


 j o

|

    D D D H H H      q 

      Ô r H H  H    

 j o

ÔbÔ Ñ ÔcÔ  
 HH  H r
0 Ñ q Ñ q 

 b c
0   D D D H  H  H      

|

    q 
D D D 
 H H  H   a r H H  H    |

 c


 D D D   H H H   
 qa   

    
r H H  H   

  D D D H H H  
    qa 
 j o  r HH  H 

qa j o  Va
  D D D H H H 

     r H H  H  





´

 













 j o

 Dm H H H 

     r H H  H  





 c
        c