738 B
738 B
Transformers
R_m
is the heat losses in the transformer.
X_m
accounts for inperfections in power transfer.
R_m>>R_f\
X_m>>X_f\
\therefore\ ignore\ voltage\ across\ R_f\ and\ X_f\
R_m={E_p^2\over P_m}\
S_m=E_p\times I_m\
X_m={E_p^2\over Q_m}\
Q_m=\sqrt{S_m^2-P_m^2}
R_p
total transformer resistance referred to primary side
X_p
total transformer reactance referred to on the primary side
Short the secondary, then:
R_p=R_{f_1}+a^2R_{f_2}\
X_p=X_{f_1}+a^2X_{f_2}\
Z_p=\sqrt{R_p^2+X_p^2}\[16pt]
Find\ I_p\ and\ P_p\ to\ find\ values\ of\ R_p\ and X_p\[16pt]
if\ X_p>>5R_p\ neglect\ R_p
Subtract S from the rating to get the actual usable power