(54) 



THREE-PHASE POWER SYSTEMS 305 



VbI = E — \Zci{lAa + alAb + a?lAc) 



— \{Zbi + Zci)(//ja + alBh -i-,a^lBc) 



Vb2 = — \Zc2{lAa + a^lAh + a I Ac) 



— K^Bi + Zc2){lBa + a-hib + «//<,.; 

 Vbq = — ^Zco\lAa -\- lAb + Iac) 



— 3(.ZbO + Zco){^Ba -\- I Bb + I Be) 



Substituting (53) and (54) in (46) and (47) the six original equations 

 in (1) are obtained. 



References 



1. C. L. Fortescue: "Method of Symmetrical Coordinates Applied to the Solution of 



Polyphase Networks," Trans. A. I. E. E., 1918, Vol. 37, pages 1027-1114. 



2. E. Clarke: "Simultaneous Faults on Three-Phase Systems," Trans. A. I. E. E., 



1931, Vol. 50, pages 919-941. 



3. Wagner and Evans: "Symmetrical Components" (McGraw-Hill, 1933). 



4. Monseth and Robinson: "Relav Systems — Theory and Application" (McGraw- 



Hill, 1935). 



5. Lyon: "Applications of the Method of Symmetrical Components" (McGraw- 



Hill, 1937). 



6. G. Oberdorfer: " Der Erdschluss und seine Bekampfung" (Springer, 1930). 



7. M. J. Fallou: "Propagation des Courants de haute Frequence Polyphases le long 



des Lignes Aeriennes de Transport d'Energie Affectees de Courts — Circuits 

 ou de Defauts d'lsolemcnt," Bulletin de la Societe Franqaise des Electriciens, 

 August, 1932, pages 787-864. 



