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DESCRIPTION
matcad
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=======================================================================
Unicamp - University of Campinas
Author: Tiago Davi Curi Busarello
Data: July 2013
Project: Controller Design for the project: "DC-Bus Voltage Control in Controlled
DC-Voltage Power Port".
=======================================================================
Parameters
Cdc 9625 106−
⋅:= DC-Bus Capacitor
fs 3240:= Switching Frequency [Hz]
VDC 1450:= DC-Bus voltage reference [V]
Voltage Sensor GainHv
1
1000:=
Vt_pk 1:= Carrier Peak Voltage
fc 6.2:= Cut-off Frequency in Hz
MFd 55:= Desired Phase Margin [degree]
DC-Bus Voltage Plant. According to Chapter 7 in
"Voltage-Sourced Converters in Power Systems:
Modeling, Control and Applications" by A. Yazdani and R.
Iravani. Here, it is included the Sensor Gain and the PWM
transfer Function
Tdc f( )2−
Cdc 2⋅ π⋅ f⋅ i⋅Hv⋅
1
Vt_pk⋅:=
ModTdc f( ) 20 log Tdc f( )( )⋅:=
FaseTdc f( ) arg Tdc f( )( )180
π⋅:=
PI Controller
kpidc 125:=
wzbdc 42:=
CPIdc f( ) kpidc2 π⋅ f⋅ i⋅ wzbdc+
2 π⋅ f⋅ i⋅⋅:=
ModCPIdc f( ) 20 log CPIdc f( )( )⋅:=
FaseCPIdc f( ) arg CPIdc f( )( )180
π⋅:=
Open-Loop Bode Diagrams (Voltage Plant, PI controller and Total open-loop)
MAdc f( ) Tdc f( ) CPIdc f( )⋅:=
ModMAdc f( ) ModTdc f( ) ModCPIdc f( )+:=
FaseMAdc f( ) FaseTdc f( ) FaseCPIdc f( )+:=
0.01 0.1 1 10 100 1 103
× 1 104
× 1 105
×
100−
50−
0
50
100
ModTdc f( )
ModCPIdc f( )
ModMAdc f( )
f
0.01 0.1 1 10 100 1 103
× 1 104
× 1 105
×
200−
100−
0
100
FaseTdc f( )
FaseCPIdc f( )
FaseMAdc f( )
f
Phase Margin
FaseMAdc fc( ) 42.846=
Closed-Loop Bode Diagrams
MFdc f( )CPIdc f( ) Tdc f( )⋅
1 CPIdc f( ) Tdc f( )⋅+:=
ModMFdc f( ) 20 log MFdc f( )( )⋅:=
FaseMFdc f( ) arg MFdc f( )( )180
π⋅:=
0.01 0.1 1 10 100 1 103
×
40−
20−
0
0
20
40
60
80
100
ModMFdc f( ) FaseMFdc f( )
f
PSIM Implementation
KPSIM kpidc 125=:=
TsPSIM1
wzbdc0.024=:=