lecture on basic concept operation and control of hvdc
TRANSCRIPT
Lecture on Basic Concept, Operation
and Control of HVDC September 2, 2008
09.00-16.00 hrs. EGAT Head Office
Lectured by Nitus Voraphonpiput, Ph.D.
Engineer Level 8 Technical Analysis – Foreign Power purchase Agreement
Branch Power Purchase Agreement Division
Electricity Generating Authority of Thailand
2
Objective
Providing basic concept of the HVDC transmission system to
attendee.
Introducing operation and control of the HVDC transmission System.
Discussing applications of the HVDC and its limitations.
3
Contents
1. HVAC vs. HVDC 2. HVDC Principle
Q&A for 15 minutes
Coffee break 10 minutes
3. Control of DC TransmissionQ&A for 15 minutes
4
1. HVAC vs. HVDC
Why use DC transmission?
This question is often asked. One response is that losses are lower, but is it true?
Reference [2] has been explained using Insulation ratio and Power capacity in order to proof this
statement.
5
1. HVAC vs. HVDC
Insulation ratio of HVAC and HVDC (Ref. 1-2)A given insulation length for an overhead line, the ratio of
continuous working withstand voltage factor (k) is expressed as, (note )
0.1 voltage withstandAC
voltagewithstandDC
(rms)
k
A line has to be insulated for over-voltages expected during faults, switching operations, etc.
Normally AC transmission line is insulated against over-voltages of more than 4 times the normal effective
(rms) voltage.
21 k
6
1. HVAC vs. HVDC
5.2 ground)-(phase Voltage AC Rated
levelInsulationAC
(rms)1 k
This insulation requirement can be met by insulation corresponding to an AC voltage of 2.5-3.0 times the
normal rated voltage.
For suitable converter control the corresponding HVDC transmission ratio is expressed as
7.1 ground)-(pole Voltage DC Rated
levelInsulationDC2 k
7
1. HVAC vs. HVDC
d
P
V
V
k
kk
K
2
1(rms)
voltagewithstandDClevel insulation DC
voltagewithstandAClevel insulation AC
Pole DCeach for requiredlength insulation
phase ACeach for requiredlength insulation)(ratioinsulation
Insulation ratio for a DC pole-ground voltage (Vd) and AC phase-ground (Vp) is expressed as
It can be seen that the actual ratio of insulation levels is a function of AC/DC voltage. Next, determine AC/DC
voltage.
8
1. HVAC vs. HVDC
Determine AC/DC voltage
Assumed resistances (R) of the lines are equal in both cases (HVDC and HVAC).
AC Loss = 3 x R x IL2 and DC Loss = 2 x R x Id
2
Let losses in both cases are equal, so that,
The power of a HVAC system and a bipolar HVDC system are as:
Ld II2
3
cos3 LPIVPowerAC dd IVPowerDC 2
9
1. HVAC vs. HVDC
dp VVcos
1
3
2
At the same power transfer,
So that,
1cos
2
3
2
cos3
d
P
dd
LP
V
V
IV
IV
PowerDC
PowerAC
It can be seen that HVDC requires insulation ratio at least 20% less that the HVAC which essentially reflects the cost.
Thus, insulation ratio (K) can be written as
cos
2.1
cos
1
3
2
2
1 k
kkK
10
1. HVAC vs. HVDC
Power CapacityCompared a double circuit HVAC line (6 lines) and
double circuit DC line of Bipolar HVDC.
Power transmitted by HVAC (Pac) and HVDC (Pdc) are
acac
LPdc PP
k
kkIV
k
kkP
cos
47.1
cos6
2
1
2
1
cos6 LPac IVP dddc IVP 6
On the basic of equal current and insulation, Id = IL, K=1:
11
1. HVAC vs. HVDC
For the same values of k, k1 and k2 as above and pf is assumed to 1.0, the power transmitted by overhead lines can be increased to 147%. The percentage line losses, which is inversion of the power transmit, are
reduced to 68%.
In addition, for underground or submarine cables, power transmitted by HVAC cable can be increase
294 % and line loss reduced to 34%.
Note: for cable k equals at least two.
12
1. HVAC vs. HVDC
From reference [3], losses are lower is not correct.
“The level of losses is designed into a transmission system and is regulated by the size of conductor selected. DC and AC conductors, either as overhead transmission lines or submarine cables can have lower losses but at higher expense since the larger cross-sectional area will
generally result in lower losses but cost more.”
The reasons that HVDC have been used are:
1. An overhead d.c. transmission line with its towers can be designed to be less costly per unit of length.
2. It is not practical to consider AC cable systems exceeding 50 km (due to VAR charging of the cable).
3. Some a.c. electric power systems are not synchronized to neighboring networks even though their physical distances between them is qui
te small.
13
2. HVDC Principle
The HVDC valve comprises the thyristors acting as controlled switch. In the ‘OFF’ state, the thyristor blocks
the current to flow, as long as the reverse or forward breakdown voltages is not exceeded.
It changes to ‘ON’ state if it is forward biased (VAK > 0) and has small positive ‘Gate’ voltage applied between the
Gate and the Cathode.
Anode (A)
Cathode (K)
Gate (G)
14
2. HVDC Principle
Thyristor switches between conducting state (ON) and non-conducting (OFF)
state in response to control signal (firing) as its characteristic.
The Gate voltage need not to be present when the thyristor is already in ON
state.
15
2. HVDC Principle
Rd
VT
Rd = VAK/ IA
VT
Anode (A)
Cathode (K)Anode (A)
Cathode (K)
Rr
Rr = VAK/ IA Ploss-ON state = VT.IA(avg.) + Rd.IA2
(rms)
Ploss-OFF state = Rr.Ir2
(rms)
iA
ir
16
2. HVDC Principle
ON-OFF state- ON state continues until current drops to zero, even reverse bias appears across the thyristor.
- The critical time to clear charge carriers in the semi-conductor
is referred as the turn-off time toff . If forward bias appears to soon, t < toff, thyristor can not OFF.
ON
OFF
OFF
VAK > 0 and VG >0
IA < 0
VAK > 0 and t < toff
t > toff
17
2. HVDC Principle
ON State OFF State
18
2. HVDC Principle
Rd = 10
Th1
Ld
Th3
Th4 Th230V220US
Vd
Id
Is
Vs
Single Phase Bridge Rectifier
19
2. HVDC Principle
Vs
Id
Is
Vd
= 30
Th3
Th4
Th1
Th2
Th3
Th4
Voltage waveform of inductor (Ld), VLd = Vd – Rd Id
Voltage waveform of resistor (Rd), VRd = Rd Id
20
2. HVDC Principle
Is
Vd
Id
50 Hz
100 Hz
150 Hz
200 Hz
250 Hz 350 Hz
300 Hz
100 Hz
Harmonics in the voltage and current waveform.
DC
DC
21
2. HVDC Principle
Even DC side does not have reactive power (Q), the reactive power still presents on the AC side. The reactive power
occurrence is caused by the delay angle () (or called firing angle) of the current waveform.
30
VS
IS
Vs Is
= 30
P = |VS| |IS| cos
Q = |VS| |IS| sin
time36020 ms
Phasor of fundamental component
22
2. HVDC Principle
Is
Vd
Id
50 Hz
100 Hz
150 Hz
200 Hz
250 Hz 350 Hz
300 Hz
100 Hz
Product of Vd and Id is (active) power (P).
Product of phasor VS and phasor IS is not the apparent power (S) . It represents the
active power (P) and reactive power (Q).
There are harmonic distortion power, which is a new term
caused by the higher harmonics (more than 50 Hz).
It is represented by D (distortion power).
Finally, S2 = P2 + Q2 becames S2 = P2 + Q2 + D2.
23
2. HVDC Principle
Lk
Rd
Ld
Ith2
Ith1
commutation
is overlap angle
Ith2
Ith1
Vd
Id
IsVs
It can be seen that if current is high, overlap angel is increased. In addition, if inductance is high, overlap angle is also increased.
The inductance Lk represents reactance on AC side (called
commutating reactance). Due to nature of an inductor, The
inductor current can not change suddenly. Thus, during turn-off
of the Th1 (and Th2) and turn-on of the Th3 (and Th4), both are in conducting state for a short time (overlap time). This phenomena occurs during commutation of
the thyristors.
Increasing Lk
Increasing Id
24
2. HVDC Principle
Is
Vd
Id
Vs
= 30
Th3
Th4
Th1
Th2
Th3
Th4
Inductor current can not suddenly be changed, thus there is a slope.
2
)cos(coscos
25
2. HVDC Principle
The impact of the overlap angle () is the reduction of the average dc voltage (Vd).
It decreases the harmonic content of the ac current (Is) and power factor of the AC side.
Vd
Id
Ideal case Vdo
dKdod IXVV2
KK LfX 2
Vd
Id
Voltage drop due to commutating reactance
is represented as DX
XK
Rd
Id
DX
DR
VT
VT and DR are very less compared to DX. Thus, there are usually neglected.
Overall voltage drop
Vd
26
2. HVDC Principle
Rd
IL
Th1
Ld
VA
Th2
Th3
Vd
VB
VC
IL
t
60 90 1200
Vd
coscos17.1 0dPd VVV
Natural commutation
VA = 2 VP sin t
VB = 2 VP sin t-120
VC = 2 VP sin t+120
d
d
R
L3-pulse converter
27
2. HVDC Principle
1.0
-1.0
0.5
-0.5
Rectifier
Inverter
60
45 18013590
0d
d
V
V
cos0
d
d
V
V
Positive average voltage
Negative average voltage
Inverter mode can be performed when firing angle is more than 90 degrees.
Rectifier mode can be performed when firing angle is less than 90 degrees.
Average voltage is zero when the firing angle is 90 degrees.
28
2. HVDC Principle
=60 =30
Vd
Id
29
2. HVDC Principle
VA, IA
Id
VB, IB
VC, IC
Th1 Th2 Th3 Th1 Th2 Th3
120
30
2. HVDC Principle
VA, IA
Id
Vd
=30=120
Inverter mode can be performed as long as the DC current continues flow.
Positive voltage
Negative voltage
Reversing phase sequence
31
2. HVDC Principle
t
IB IC IA
t
dVVA
VB
Lk
Id
Lk
Vk
IC
dkX
Xdd
ILD
DVV
2
3
cos0
IB IA
Vk
VA
VB
DX
32
2. HVDC Principle
t
dV
Vk
DX
The commutating reactance (Xk) results in
decreasing of DC voltage, but it increases DC voltage in inverter
mode.
It can also be seen that the overlap time will increase when DC
current is high and this can cause commutation failure in inverter mode.
Note: + < 180
The extinction angle () = 180 - -
IB IA IB IA
180180
dkX
Xdd
ILD
DVV
2
3
cos0
33
2. HVDC Principle
6-pulse converter
Vd+
Vd-
Vd+
Vd-
Vd
Vd= Vd+ - Vd-
=0
=0
-Vd-Vd+
The 6-pulse bridge consists of two 3-pulse bridges (positive and negative) connected in parallel.
34
2. HVDC Principle
6-pulse bridge HVDC
Vdr Vdi
Id
Id
The HVDC comprises two converters connected in anti-parallel through smoothing reactors and DC lines. One converter is operated in rectifier mode
to transmit power from the AC network to the other side whereas the other side converter is operated in inverter mode to receive power into the (other
side) AC network.
Smoothing reactor
Smoothing reactor
DC line
DC line
power
power power
Reactive power
Reactive power
35
2. HVDC Principle
30
VI.cos
I
I.sin
30
866.02
)2515cos(15cos
2
)cos(coscos
Rectifier Operation of the 6-pulse bridge converter
Assume = 15 and = 25
The converter operates in rectifier mode. It transmits active power while consumes reactive power.
36
2. HVDC Principle
145
VI.cos
II.sin
145
823.02
)25135cos(135cos
2
)cos(coscos
Inverter operation of the 6-pulse bridge converter
Assume = 135 and = 25
The converter operates in inverter mode. It receives active power while
consumes reactive power.
37
2. HVDC Principle
For convenience, the converter operated in inverter mode is often referred to extinction angle (). Thus
direct voltage in inverter mode (Vdi) are expressed as
dkX
Xdd
ILD
DVV
2
3
90,cos0
Actually, inverter is commonly controlled at constant extinction angle to prevent commutation failure. Therefore, it is not only for convenience, but also for
converter control purpose. It is important to note that voltage drop caused by commutating reactance (Dx) is now negative.
Xdd DVV cos0
38
is the control variable for rectifier and is the control variable for inverter.
2. HVDC Principle
Voltage vs. current (VI) characteristics at steady state
dN
d
I
I
0d
d
V
V
dN
d
I
I
0d
d
V
V
= 0
max < 180
1.0
-1.0
1.0
1.0
-1.0
1.0
= 0
= 0
Slope is DX
Rectifier
Inverter
Rectifier
Inverter
Incr
easi
ng
Incr
easi
ng
In
crea
sin
g
39
2. HVDC Principle
12-pulse bridge HVDC
VdrVdi
Id
VdrY VdiY
Y Y
Y
Y
Y
YId
The 12-pulse converter is required to improve harmonic current on AC sides. It comprises two 6-pulse converters connected in series. Harmonic current on AC sides are odd orders starting from 11th, 13th …. whereas even orders
present on the DC side (12th, 14th…). To achieve 12-pulse, phase displacement of 30 generated by Star (Y) and Delta () connection of the
transformers are employed.
40
2. HVDC Principle
Y Y
Y
IA
IA
IAY
IA
IA
IAY
Vd
VdY
VdVdYVd
Vd
Rectifier operation of the 12-pulse bridge converter
Assume = 15
and = 25
41
2. HVDC Principle
Y Y
Y
current
VdiVdrY Y
YId
Vdi
Vdr
Id
voltagemin <
min = 5 - 7
min <
min = 15 - 17
½ Rd
½ Rd
To ensure all thyristor valves are enough forward bias
to turn on.
To keep reactive power requirement on inverter side as
low as possible.
Voltage drop caused by line resistance (Rd) is taken into account and the VI characteristic presents operating point of the HVDC system.
decreasing
power
power power
Reactive power Reactive power
42
2. HVDC Principle
Detail Configuration of the HVDC
43
2. HVDC Principle
Alternatives for the implementation of a HVDC power transmission system
i) Mono-polar Configuration
ii) Bipolar Configurationa) Earth Return
b) Metallic Return
iii) Homo-polar Configuration
44
2. HVDC Principle
Alternatives for the implementation of a HVDC power transmission system (continued)
45
Can we use manual control for the rectifier (vary ) and the inverter (vary
)? If we can not do that, which side should
be controlled (rectifier or inverter) or control them both?
What is/are the control purpose(s)?
3. Control of the DC Transmission
46
3. Control of the DC Transmission
Typical control strategies used in a HVDC system consists of:
Firing Control {Rectifier} Current Control (CC)
{Inverter} Constant Extinction Angle (CEA) Control {Inverter} Current Margin Control (CM)
{Inverter} Voltage Control (VC) Voltage Dependent Current Limit (VDCL)
Tap change Controls (TCC) Power Reversal
47
3. Control of the DC Transmission
Firing ControlFunction of the firing control is to convert the firing angle
order (*) demanded fed into the valve group control system. There might be voltage distortions due to non-characteristic harmonics, faults and other transient disturbances such as
frequency variation. Thus, phase-locked loop (PLL) based firing system is generally applied.
Phase Detector
vA
vB
vC
PI Controller Voltage Controlled Oscillator
sin(.)
sin(.)
sin(.)
comparator
*
comparator
comparator
……
⅔
vo
-
verror
…
uA
uB
uC Gate firing
Ts
TsK
)1(
48
3. Control of the DC Transmission
verror
uAvA
time
time
Firing Control (Continued)
2
timeFiring pulse of phase A
*
0
0
0
49
3. Control of the DC Transmission
Current Control (CC)The firing angle is controlled with a feedback control
system as shown in figure. The dc voltage of the converter increases (by decrease *) or decreases (by increase *) to adjust the
dc current to its set-point (Id*).
*max
min
PIid*
id
-
+
Y Y
Y
Vdr
Current measurement
Firing Control
vA, vB , vC
6
6
IdTs
TsK
)1(
50
3. Control of the DC Transmission Constant Extinction Angle Control (CEA)
The firing angle of the inverter is controlled at minimum angle (min) to reduce reactive power requirement. This can be
achieved by using Gamma control (-control).
*max
min
PI*
-
+
Current measurement
Firing Control
vA, vB , vC
6
6
VdiY Y
Y
measurement
Valve voltage
51
3. Control of the DC Transmission
VI Characteristic of the CC and the CEA
current
Vdi
Vdr
Id
voltage
* = min
*
VI Characteristic
current
VdiVdr
Id
voltage
* = min*= min
If AC voltage on rectifier side decreases, CC decreases * down to
min to increase DC current (Id), but there is no operating point (X). This problem
can be solved using CMC.
X
AC voltage decreasing
The intersection (X) is the operating point of the DC transmission line.
52
3. Control of the DC Transmission Current Margin Control (CMC)
A better way is to use the inverter to control current less than of the rectifier by an amount of current margin (Id) when the
rectifier can not perform CC.
*max
min
PI
*
-+Current
measurement
Firing Control
vA, vB , vC
6
VdiY Y
Y
id*
id
id = 0.1 to 0.15
+
- Control
Min
imu
m
sele
ctio
n
53
3. Control of the DC Transmission
VI Characteristic of CC, CEA and CMC
current
Vdi
Vdr
Id
voltage
* = min
*
Combined characteristics of CC, CEA and CMC
*= min
If AC voltage on rectifier side decreases, CC decreases * down to min to increase DC current (Id), but
there is no operating point (X). This problem can be solved by CMC.
X
AC voltage decreasing
current
VdiVdr
Id
voltage
* = minX
Id IdCMC
CEA
CC
This method can maintain stable operation when AC voltage of both
sides are fluctuated.
54
3. Control of the DC TransmissionWhat will happen if AC network of the inverter side is too weak!
current
Vdi
Vdr
Id
voltage
* = min
*
In this range the intersection is poorly to define and both current controllers will hunt
between the operating points.
This problem can be solved by adjust VI characteristic of the
inverter to voltage control (VC) in order to avoid hunting between two
controllers.
X
IdCMC
CEA
Weak AC
current
Vdi
Vdr
Id
voltage
* = min*
IdCMC
CEA
VC
* > min
X
More Weak
55
3. Control of the DC Transmission Voltage Control (VC)
it is very effective when the inverter is connected to a weak AC network. The normal operating point X corresponds to a value
of higher than the minimum. Thus, the inverter (rectifier as well) consumes more reactive power compared to inverter with CEA.
*
max
min
PI
*
-+
Firing Control
vA, vB , vC
6
6
VdiY Y
Y
vdi*
vdi
- Control
Min
imu
m
sele
ctio
n
Voltage measurement
CMCM
axim
um
se
lect
ion
56
3. Control of the DC Transmission
Voltage Dependent Current Limit (VDCL)Commutation failures can occur during an AC fault on the
inverter side. It results in continue conduction of a valve beyond its 120 conduction interval. The CC will regulate the DC current to its rated value, but in the worst case, two inverter valves may form
DC short circuit and continue conducting for a long time, which can cause valve damage. To prevent this problem, DC current
must be reduced. One possible to detect the AC side fault is the lowering of the DC voltage. This voltage is typically chosen at 40%
of the rated voltage.
Id
57
3. Control of the DC Transmission
Voltage Dependent Current Limit (VDCL)The VDCL is a limitation imposed by the ability of the AC
system to sustain the DC power flow when the AC voltage at the rectifier bus is reduced due to some disturbance as well. The
VDCL characteristics is presented below.
current
Vdi
Vdr
Idmax
voltage
*
IdCMC
VC
X
Id-min
0.4
VDCLId
current
Vdi
Vdr
Id
voltage
*
Id
CMC
VC
X
Id-min
0.4
VDCLId
Idmax
VDCL VDCLVDCL
58
3. Control of the DC Transmission
Voltage Dependent Current Limit (VDCL)
id*
vd
v
Vd
Ts1
1
Voltage measurement
i
Min
imu
m
selection
vd
CC
VDCL
iv
59
3. Control of the DC Transmission Tap Change Control (TCC)
When voltage of the AC system of the rectifier and/or of the inverter is fluctuated, transformer taps (both side) can adjust to keep the DC voltage within desired limits or suitable operating
point. Generally, the tap will be changed when the firing angle of the rectifier/inverter still reach its more than 10-15 minutes to
avoid interaction of other controls.
Example: if the firing angle () of the rectifier reaches minimum limit (min) for long time. It means that the AC voltage of the
converter is not appropriate. Thus, AC voltage of the converter must be reduced by tap changing of the converter transformer to
free the firing angle of the rectifier.
60
3. Control of the DC Transmission Power Reversal
The VI characteristic of power reversion is presented below (VDCL and VC are not included). The station 1 (rectifier) increases firing
angle () into the inverter region and the station 2 (inverter) decreases its firing angle () into rectifier region. This can be performed without altering
the direction of current flow.
current
V2di
V1dr
Id
voltage
* = min* X
current
V2dr
V1di
Id
voltage
* = min* X
61
3. Control of the DC Transmission
Vdi
Y Y
Y
Y Y
Y Id
Firin
g
Co
ntro
l Min
.Min
.
Max. M
ax.
p*/vdCAE
CC
VC
VDCL
Power order
min
Vd*
Fir
ing
C
on
tro
l
CAE
CC
VC
VDCL
min
Vd*
id
Modulation Signal
id*
p*
Vdr
TCC TCC
Master Control
p
**
po
Vd, Id,,
62
3. Control of the DC Transmission
CIGRE’s HVDC benchmark was simulated on ATP-EMTP with the typical HVDC control schemes, which the CC mode was employed
at rectifier and VC mode was applied at inverter. All simulation results are presented in normalized values.
Start Up HVDC
Rectifier Current Control Inverter Voltage Control
63
3. Control of the DC Transmission
Start Up HVDC
Firing Angle () of Rectifier Firing Angle () of Inverter Extinction angle () is also shown
The HVDC started at 0.1 sec. The firing angle of rectifier started at 90 while the extinction angle of inverter started at 90.
64
3. Control of the DC Transmission
Power Reversal
Firing Angle () of Rectifier and Inverter
DC Current
The HVDC started to reverse power flow direction at 0.5 sec. Firing angle of the rectifier increased (with a ramp rate) into inverter zone while firing angle of the inverter decreased (with a ramp rate) into
rectifier zone.
65
3. Control of the DC Transmission
Power Reversal
The power flow direction of the HVDC reversed at 0.9 sec.
66
3. Control of the DC Transmission
VDCL performance during 1-phase fault at AC network of the rectifier station.
1 –phase Fault at AC network of the rectifier station
cba V VV
67
3. Control of the DC Transmission
Fault at AC network of rectifier station
REFIdI
diV
didREF VI I.u.p Degree )( Alpha_i )( r_Alpha ir
r
i
68
3. Control of the DC Transmission
VDCL performance during 1-phase fault at AC network of the inverter station.
1-phase Fault at AC network of the inverter station
cba V VV
69
3. Control of the DC Transmission
Fault at AC network of inverter station
REFIdIdiV
didREF VI I.u.p )( Alpha_i )( r_Alpha ir
i
r
Degree
70
3. Control of the DC Transmission
Modulation signal is employed when a power system has a special requirement such as
frequency control, power oscillation damping, etc.
For example, the addition frequency control loop is included into HVDC control system to stabilize
frequency of the AC system.
71
3. Control of the DC Transmission
Modulation Function of EGAT-TNB HVDC
72
3. Control of the DC Transmission
Power Swing Damping (PSD) Function of EGAT-TNB HVDC
Thank you very much for your attention
74
References
1. Ani Gole, “HVDC Transmission Lecture Note”, University of Manitoba, 2000.
2. Jos Arrilaga, “High Voltage Direct Current Transmission”, 2nd , IEE-Press, 1998.
3. Dennis A. Woodford, “HVDC Transmission”, Manitoba HVDC Research Center, Canada, 1998.
4. Erich Uhlmann, “Power Transmission by Direct Current”, Springer Verlag, 1975.
5. Vijay K. Sood, “HVDC and FACTS Controllers”, Kluwer. 2004.
6. Edward Wilson Kimbark, “Direct Current Transmission” vol.1, Wiley-Interscience, 1971.
7. IEEE Transmission and Distribution Committee, “IEEE guide for planning DC links terminating at AC locations having
low short-circuit capacities”, IEEE, 1997. 8. กฤตยา สมสย, นิ�ทัศนิ� วรพนิพ�พฒนิ�, ว�ทัวส ผ่�องญาต�, “การจำ�าลองระบบส�งไฟฟ�า
แรงส!งกระแสตรงโดย ATP-EMTP”, สมมนิาว�ชาการระบบส�ง กฟผ่ . 2548.