[mcnaughtonJ electric SERIES TRANSFORMERS 



Then 



199 



(31) 



K = 



and 



\ho A 



X, 



nI 



R,/ + L/û>' N2 



— «in {^+ a) 



(32) 



4 



— R2 



£ 'u'^Sin(/9+ a)-Sin (coT + /S+a) 



This consists of (A) a current proportioned to the Primary Cm rent 

 by the ratio 



J' 



and leading it by the angle 

 Tan 



1 R, 



and (B) The Starting Transient 



M(oX \i 

 -^1 



4 



r;-+l,-vu- n. 



Sin (/9- 



-^, t 



which is a maximum when 



5+ a = — 



3 



(T) ^ 



and zero when 



^9+ a = O • TT, 2 TT n IT 



The start of a Harmonic current is shown in Figure (5) for 



/3 + a 



and for /8 = 



Records No. 67, No. 69, No. 70 and No. 71 show the start of cur- 

 rents of various final wave forms in the Primary and Secondary of a 

 20 — 5 Ampere Instrument Transformer. The vibrator recording 



