Page 8 - Modern Control of DC-Based Power Systems

LIST OF FIGURES

Figure 1 Transition from load side control towards generation xxxi
side control
Figure 1.1 Electrical system containing a nonlinear load 1
Figure 1.2 Characteristic I V curve of a Constant Power Load 2
Figure 1.3 Electrical system containing a Constant Power Load, 3
equivalent circuit around operating point
Figure 1.4 Adding a parallel RC filter 5
Figure 1.5 Load side stabilizing control 6
Figure 1.6 Virtual impedance 6
Figure 1.7 Constant power load fed by a DC DC converter 8
Figure 1.8 Compensating Constant Power Loads 9
Figure 2.1 DC DC voltage regulator system 16
Figure 2.2 Canonical small-signal model for a terminated DC DC 18
converter
Figure 2.3 Mathematical representation of small-signal converter 21
Figure 2.4 Block diagram of voltage mode control of converter 21
Figure 2.5 DC DC converter PCMC structure 24
Figure 2.6 Inductor current for PCM controlled converter with 24
compensation ramp
Figure 2.7 Control block diagram PCMC 25
Figure 2.8 Cascaded canonical model 26
Figure 2.9 Cascaded control blocks for VMC 27
Figure 2.10 Simplified model of a CPL 29
Figure 2.11 Block diagram of CPL around operating point 31
Figure 2.12 Operating limits for constant power characteristic 32
Figure 2.13 Circuit representation of a switching converter with 36
inner PI current loop and outer PI voltage loop
Figure 2.14 Small-signal block diagram representation of a switching 37
converter with inner PI current loop and outer PI voltage loop
Figure 2.15 Small-signal block diagram representation of a switching 38
converter in PICM
Figure 2.16 Bode plot of the control-to-output transfer function G vd sðÞ: 43
Figure 2.17 Bode plot of the voltage control transfer function G c sðÞ: 44
Figure 2.18 Bode plot of the voltage loop gain T VM ðsÞ with Phase Margin 45
50.4 degrees, Delay Maring 0.000138 s, at f 5 1010 Hz,
Closed Loop stable 5 Yes
Figure 2.19 Bode plot of the control-to-inductor current transfer function 45
G i L d sðÞ:
46
Figure 2.20 Bode plot of the current control transfer function G cI: ðsÞ
Figure 2.21 Bode plot of the inner current loop gain T PICM ðsÞ with Phase 47
Margin 80 degrees, Delay Maring 0.000111 s, at
f 5 2000Hz, Closed Loop stable 5 Yes

vii