Stevenson J. Power system analysis
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706
CHAER 16 POWER SYSTEM STALlTY
weighted input and output powers arc dened by
HIH
2
H
12
=
HI
+
H
2
(
16.2
4)
(16.25)
(
16.26)
A noteworthy application of these equations concerns a two-machine system
having only one generator (machine one) and a synchronous motor (machine
two) connected by a network of pure reactances. Whatever change occurs in the
generator output is thus absorbed by the motor, and we can write
( 16.27)
Under these conditions, Pm l
2
=
Pm ' Pe l
2
= P
e,
and Eq. (16.22) reduces to
which is also the format of Eq. (16. 12) for a single machine.
Equation (16.22) demonstrates that stability of a machine within a system
is a relative property associated with its dynamic behavior with respect to the
other machines of the systcm. The rotor angle of onc machine, say, 6
\
, can be
chosen f
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