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BY: DAVID TEMITOPE OYEDOKUN
DEPARTMENT OF ELECTRICAL ENGINEERING UNIVERSITY OF CAPE TOWN
This thesis was submitted to the University of Cape Town in fulfilment of the academic
requirements for the Masters of Science degree in Electrical Engineering
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
Declaration
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0 0.5 1 1.5 2 2.5-500
0
500
1000
1500
2000
2500
3000
3500
4000
Time (sec)
Act
ive
Pow
er (M
W)
G1 Active Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
E'
& EE/)32/& <4)
# EB E))4''
& EB/)32/& <4'
$4'-BE(
89"/ EB
0 0.5 1 1.5 2 2.5-1000
0
1000
2000
3000
4000
5000
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G1 Reactive Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
0 0.5 1 1.5 2 2.5 3-88
-87.5
-87
-86.5
-86
-85.5
Time (sec)
Rot
or a
ngle
(deg
)
G2 Rotor angle during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
E@
# 4' %((,A ):((,A
89"/ " 4'
()B (E'
E:
%(',A" 89"/
4'%(',A
& E:/)32/& 4'
4)
4'@B;,-:%(, E)(#
4' -:%( , '@)( , 4'
0 0.5 1 1.5 2 2.5 30
500
1000
1500
2000
2500
3000
Time (sec)
Act
ive
Pow
er (M
W)
G2 Active Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
E;
& E)(/)32/& <4'
& E))/)32/& #94'
4)
4')(D% )( E)) )'@
- )(
0 0.5 1 1.5 2 2.5 3 3.5-1000
-500
0
500
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G2 Reactive Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
0 1 2 3 4 5 6 7 8 90.99
1
1.01
1.02
1.03
1.04
1.05
1.06
1.07
Time (sec)
Term
inal
vol
tage
(pu)
G2 Terminal Voltage during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
E%
7%1%/%1 "1>*$($ ") ""
# E)' E): #
E)' E)%4)#
4)
4)
E)'
& E)'/'32/& <4)
# 4);(((,A
)(((,A 4)
'(((,A E)@#
4)
E)@
"/ 4)
(;E (DE
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3-79
-78.5
-78
-77.5
-77
-76.5
Time (sec)
Rot
or a
ngle
(deg
)
G1 Rotor Angle during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
ED
E);# 4)(;%
(%%
& E)@/'32/& 4)
& E);/'32/& #94)
0 1 2 3 4 5 6 7 8
1000
1500
2000
2500
3000
3500
4000
Time (sec)
Act
ive
Pow
er (M
W)
G1 Active Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
0.5
0.6
0.7
0.8
0.9
1
1.1
Time (sec)
Term
inal
vol
tage
(pu)
G1 Terminal Voltage during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
EE
& E)%/'32/& <4)
E)%4)
89/
B((,
89/# E)D
E):4'
#"/ 4' E)D
B°
4' #
4'"/
E)E#
4' E)E %((,A
4') E:
0 2 4 6 8 10 12 14-500
0
500
1000
1500
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)G1 Reactive Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
EB
& E)D/'32/& <4'
& E)E/'32/& 4'
2 4 6 8 10 12 14 16 18 20-145
-140
-135
-130
-125
-120
-115
-110
Time (sec)
Rot
or a
ngle
(deg
)G2 Rotor Angle during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
0 2 4 6 8 10 120
200
400
600
800
1000
1200
1400
1600
1800
Time (sec)
Act
ive
Pow
er (M
W)
G2 Active Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
E:
& E)B/'32/& <4'
& E)B 4' 4'
'(( , "/
E)(
4'
#
"/ "/ E)E
E)B& E):4'
4'
- )( )('%
)(D% +
89"/
8
8
0 2 4 6 8 10 12 14 16-200
-100
0
100
200
300
400
500
600
700
800
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G2 Reactive Power during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B(
& E):/'32/& #94'
7%1%1 #!" $!$3+0".! !0$ " !!!*
-
4)%(#-
4)4'
7%1%1%/ "/>$ ") ""
# E'( E'E #
E'( E'@4)#-
4) E'( -E%ºA
4)-)E(º )E(º
-)Bº:(
" 4)( E')
(,A E''
0 2 4 6 8 10 12 14 16
0.98
0.99
1
1.01
1.02
1.03
Time (sec)
Term
inal
vol
tage
(pu)
G2 Terminal Voltage during Rectifier and Inverter Fault
Rectifier DC FaultInverter DC Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B)
& E'(/)324)@-& <4)
& E')/)324)@-& #94)
0 10 20 30 40 50 60 70 80-200
-150
-100
-50
0
50
100
150
200
Time (sec)
Rot
or a
ngle
(deg
)
G1: Rotor Angle during 3-phase Fault at G1
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-0.2
0
0.2
0.4
0.6
0.8
1
1.2
Time (sec)
Term
inal
vol
tage
(pu)
G1: Terminal Voltage during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B'
& E''/)324)@-& 4)
0 /
89"/
4) B((,
0 1 2 3 4 5 6
0
500
1000
1500
2000
2500
Time (sec)
Act
ive
Pow
er (M
W)
G1: Active Power during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B@
& E'@/)324)@-& <4)
# E';E'E4'' E';
4'-BD°
E')89"/N6
& E';/)324)@-& <4'
0 1 2 3 4 5 6
-800
-600
-400
-200
0
200
400
600
800
1000
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G1: Reactive Power during 3-phase Fault at G1
0 0.5 1 1.5 2 2.5 3-88
-87.5
-87
-86.5
-86
-85.5
Time (sec)
Rot
or a
ngle
(deg
)
G2: Rotor Angle during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B;
+ 89"/
4' )( )(D
1 E'%#
4'%((,A'E((,A E'D
0 4' - )E
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& E'%/)324)@-& #94'
0 1 2 3 4 5 6 7 8 9 100.99
1
1.01
1.02
1.03
1.04
1.05
1.06
1.07
Time (sec)
Term
inal
vol
tage
(pu)
G2: Terminal Voltage during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B%
& E'D/)324)@-& 4'
& E'E 4' :((,.
4' ;((,#
89"/
89"/
-
4' D%4'
- @:(,
0 2 4 6 8 10 12 14 16 18 200
500
1000
1500
2000
2500
3000
Time (sec)
Act
ive
Pow
er (M
W)
G2: Active Power during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
BD
& E'E/)324)@-& <4'
7%1%1%1 "1>*$($ ") ""
# E'B E@%#
E'B E@) 4) #
"/ 4) E)' "/
4) E'B
& E'B/'324)@-& <4)
0 1 2 3 4 5 6-1000
-500
0
500
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G2: Reactive Power during 3-phase Fault at G1
1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3-79
-78.5
-78
-77.5
-77
-76.5
Time (sec)
Rot
or a
ngle
(deg
)
G1: Rotor Angle during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
BE
" 4)( E':
(,A E@(# 89/
89"/
4) - '(';,A
E)
& E@)
4) '((,$
4) -'((, )'((,
- %%%,
& E':/'324)@-& #94)
0 1 2 3 4 5 6 7 8 9 10 11-0.2
0
0.2
0.4
0.6
0.8
1
1.2
Time (sec)
Term
inal
Vol
tage
(pu)
G1: Terminal Voltage during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
BB
& E@(/'324)@-& 4)
& E@)/'324)@-& <4)
# E@'E@%4'
0 2 4 6 8 10 12 14 16 18 200
500
1000
1500
2000
2500
Time (sec)
Act
ive
Pow
er (M
W)
G1: Active power during 3-phase fault at G1
0 5 10 15 20
-200
0
200
400
600
800
1000
1200
Time (sec)
Rea
ctiv
e P
ower
(Mva
r)
G1: Reactive power during 3-phase fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
B:
& E@'/'324)@-& <4'
" 4' -)'E( -)DB
(
-)DB(-)(%
(-
-)'E(
1
4'%((,A';((,A E@@
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/ E'% 4'
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# 4' ;(E , )'%( ,
E@%#
$
0 5 10 15 20 25-170
-160
-150
-140
-130
-120
-110
-100
Time (sec)
Rot
or a
ngle
(deg
)
G2: Rotor Angle during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:(
& E@@/'324)@-& 4'
& E@;/'324)@-& #94'
0 2 4 6 8 10 12 14 16 18 20-500
0
500
1000
1500
2000
2500
Time (sec)
Act
ive
pow
er (M
W)
G2: Active Power during 3-phase Fault at G1
0 2 4 6 8 10 12 14 16 18 20 220.94
0.95
0.96
0.97
0.98
0.99
1
1.01
1.02
Time (sec)
Term
inal
Vol
tage
(pu)
G2: Terminal Voltage during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:)
& E@%/'324)@-& <4'
7%1%3 #." " !0 #! ,$!$ .! ( 30" .! !0$ " !!!*!0'$*"!)
# E')E''"/
- +,0
&
/"/ 3-
A89/-89"/
89"/#889/-89"/
? 89/-89"/
4)6 )%((,A -
%((,A)(((,A 4'6
%((,A'B((,A'@((,A
0 2 4 6 8 10 12 14 16 18 200
200
400
600
800
1000
1200
Time (sec)
Rea
tive
pow
er (M
var)
G2: Reative Power during 3-phase Fault at G1
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:'
4) -:((,-'%(,-:%(,
)B(,4'#4)((E 4'
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4'
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)() 'B((,A'@((,A
& 4) '(((,A(,A
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:@
7%3
#"+>2?# #
H@EI8
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++
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(96 -@@):@;; ( @@):@;; ( )
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(/9 -B(@D; ( B(@D; ( )
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(/5K /6 -) ( ) ( )
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(/8 -(%%%D)% ( (%%%D)% ( )
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(19K 1/ -((D:D@);B \(((@)'' ((D:E();@ ((((;:DBE (::B::D;
(11 -((((((() ( ((((((() ( )
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:;
# ED '' #
,
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)@ ); - #
'(K ') & +,0
1 H(:'(I8L8
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:%
& E@E2 )@K);
.$7%38+'(K')
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:D
.$7%3:2 '(K')
&
)@K); '(K
') # &
89/-89"/
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77 ,."$) "1>*$($ ") ""
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) +(
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(96 -@@):@(D ( @@):@(D ( )
(97 -';E)BED ( ';E)BED ( )
(98 -'')(@;E ( '')(@;E ( )
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(1/K 11 -((E)'):(E \(((':D'ED ((E)'B(DE ((((;E)%; (:::)@%B
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:E
# EE#)'K)@)%K)D')
K '' ') K ''
(::,)%)D)'K)@
& ')K '' 1
((((;E8L ) ()('
(@ & E;(E;;
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& E;(+)'K)@
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
:B
& E;)2 )'K)@
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
::
& E;@+')K''
& E;;2 ')K''
&
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)%K)D ')K
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)((
'' & E;%
& E;%
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-)((( L#
,
[-] E;%
.$7%45 ,.+!$ ") "" (*$($ ") ""
0 89"/
89/-89"/
# 89/-89"/
8 89/-89"/
89"/
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)()
8
;<>
8% ;<
& B)B'-89/-
89"/ 89"/ B)'
4)4'
B)#
4@ 4; #
# /
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)('
.$8%10) !#0) !' $/ ($1
# 3
89"/
89"/-89/
8%/
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# #, -, #,,
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(@
8/."! !.( ( ";H"/<
) ! !(! #!.! !;+.< ! ;9<
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."8 ))(( )(B' (:B -)ED
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+
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'((',A
;:E,AB'
# 89"/ #
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B)
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# ((@
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(;
)B(;,#
D)E, @:', #
'B)@,
&
- 89"/
B)(( )4)-()%
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Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(%
# 89"/
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D ):;D,A % +
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."8 ))(( )(:@ (:: -);;
& B@
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D % D 8
/ 0 89"/
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(D
"/ D "/ %
0 "/ "/
"/ "/
84#!, (#!,'$;H"1<
) ! ." #!,'$; < #!,'$;,$<
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,$!$ -:E% E'%
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"!$ !$1 B )@E: 'DE
/ D ( @:B
1 % ( BE'
889/-89"/ The power loss on
both the HVAC and the HVDC transmission lines between bus six and bus five is 85 MW
(i.e. losses on HVDC 1005-975=30 MW, losses on HVAC= 995-940=55MW) and it is higher
than the loss in case one (56MW).
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(E
8%1
# # - B)
B'
#- "/
- 4; #
B)
89"/89"/
'(((,A%((
# @B;
89/-89"/ #89"/
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4@ %( "/
4@-BE° -E(°
)B(°-)B((-))(
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4@ 4@
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(B
)B((-)B(
(
4@ @((
4@
& B@/)32/& <4@
#
4@" 4@(E@
(D@ B;E%
4@"/
0 10 20 30 40 50 60 70 80-200
-150
-100
-50
0
50
100
150
200
Time (sec)
Rot
or a
ngle
(deg
)
G3 Rotor angle During Rectifier and Inverter Fault
Rectifer FaultInverter Fault
Power flow and rotor angle stability studies of HVAC-HVDC power system interconnections using DigSILENT
)(:
& B;/)32/& #94@
"
@(%(,A)(((,A
B%-)((,A
- )(((,A# ;% B%
& &@ & 4@# (D
@) (D 'B
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0.8 1 1.2 1.4 1.6 1.8 2
0.65
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