Page 73 - Modern Control of DC-Based Power Systems

38 Modern Control of DC-Based Power Systems

g v ˆ 1 + in i ˆ
+
Z
in _ PICM +
G + v ˆ
vg _ PICM -
+ L i ˆ
G +
+
i L g_ PICM +
i ˆ load G ii _ PICM
Z
out _ PICM
G
i L i _ PICM
c i ˆ
G
ic _ PICM
G vc _ PICM
G
i L c _ PICM
Converter
PICM converter
Figure 2.15 Small-signal block diagram representation of a switching converter in
PICM.

The transfer functions for (2.42) are given in (2.43) (2.51)
1 1 G id OL G i L g OL T I
5 2 (2.43)
Z in PICM Z in OL G i L d OL 1 1 T I
G id OL G i L i OL T I
G ii PICM 5 G ii OL 2 (2.44)
G i L d OL 1 1 T I

G id OL G id OL G i L g OL T I
G ic PICM 5 2 (2.45)
G i L d OL G i L d OL 1 1 T I
G vd OL G i L g OL T I
G vg PICM 5 G vg OL 2 (2.46)
G i L d OL 1 1 T I
1 G vd OL G i L i OL T I
Z out PICM 5 1 (2.47)
Z in OL G i L d OL 1 1 T I
G vd OL T I
G vc PICM 5 (2.48)
G i L d OL 1 1 T I
G i L g OL
G i L g PICM 5 (2.49)
1 1 T I

G i L i OL
G i L i PICM 5 (2.50)
1 1 T I