FREQUENCY CONVERTER 183

Internal loss in secondary circuit :

TD i -9
Pi1 = tiVt =

Tjtal secondary power:

Internal loss in primary circuit:

r> i • o -99

-TO = £0^0 = iQTia

Total electrical output, plus loss:

(r + 2n) = su> (r

\ k J

Total electrical input of primary:
Po = [^o/o]1 = s Q '(r + n + srO = ^ (r +
Hence, mechanical output of transformer :

P = Po - P1 = w (1 - s) (r + n);
Ratio :

mechanical output _ __ _ P _ _ 1 — $ _ speed
total secondary power PI + Pi1 ~ s ~~ slip
Thus,

In a general alternating transformer of ratio of turns, a, and
ratio of frequencies, 5, neglecting exciting current, it is:
Electrical input in primary :

P - SHl*e* (r + ri
° (ri + r)» +*'(*?

Mechanical output:

P = g (1 - ^) ni2e2 (r

Electrical output of secondary:

Losses in transformer:
Po1 + Pi1 = P1 =