Z s
(7)
The steady state operating point can be determined as
follows. Since in steady state Vout = Vr if the drive input
power is Po which is equal to the drive output power plus its
loss, the voltage across Cf (or at the drive input) is given by:
( 2 4 ) / 2
o r r f o V = V + V − R P (8)
The steady state current in the filter inductor Lf is therefore
given by:
fo o o i = P /V (9)
The remaining steady state conditions can be obtained by
setting X& = 0 in (4) and obtained as:
r
s
co
vo so
s s out out
so
L
r
out fo
V
x V
x i
r
i V
r
V
r
V
i
R
i i V
= −
=
− −
=
= +
1
2
( )2 4
(10)
where iso, xvo and xco are the steady state values of is, xv and
xc, respectively for a given set of inputs and drive output
power.