Contents High Voltage Smart Grids – Flexible transmission ... · An overview of conventional...
Transcript of Contents High Voltage Smart Grids – Flexible transmission ... · An overview of conventional...
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by
Professor Enrique AchaTampere University of Technology
Tampere, Finland
(Formerly with the University of Glasgow, UK)
High Voltage Smart Grids –Flexible transmission systems 1. An overview of conventional power transmission systems with
emphasis on reactive power compensation
2. Flexible AC Transmission Systems (FACTS) for voltage and power control
3. High Voltage Direct Current (HVDC) for long-distance transmission and asynchronous interconnections
Contents
Reading Material
Description of Power electronic valves and converters
Models of FACTS equipment for large-scale power systems applications: steady-state
The main objective of a bulk powertransmission network is to transport reliably large volumes of electrical energy from a number of bulk power producing sites to a number of bulk power consuming sites
More often than not the large electrical energy generating plants are located far away from the large consumer sites such as industrial parks and cities; indeed, sometimes the distances between generation and consumer sites are truly continental
Because of efficiency reasons bulk power transmission is carried out at high voltages. For a given power level, the higher the voltage the lower the current and, hence, the associated transmission power losses
Electrical Power Transmission Networks
Hydro power plant and dam
Steam generator and power plant
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AC TRANSMISSION LINES
400 kV transmission corridor:
- Several three phase transmission lines are running in parallel
- Each transmission line has three phases, namely, a,b,c . The conductors are suspended from steal structures through chains of insulating discs
- Each phase contains one or more conductors in parallel to enable a more advantageous design
- Each transmission line uses one or two shielding wires to protect the phase conductors against lightning strokes
DC TRANSMISSION LINES
220 kV DC line:
- Simpler designs- Smaller foot prints and rights-of-way
Due to reliability reasons, bulk power networks tend to have a high degree of interconnectivity
Each country has its own power grid which would comprise tens of thousands of high-voltage over-head transmission lines of varying complexity. In the USA alone, bulk power is moved over roughly 200,000 miles of high-voltage transmission lines.
Furthermore, the electrical power grids of individual countries are interconnected so as to form truly continental electrical power systems
Long-distance power transmission makes the daily operation of the grid difficult and ancillary voltage supporting equipment is required at points where no synchronous generators are available –nevertheless conventional power grids are very brittle and very susceptible to undergo wide-area voltage instabilities (i.e., black-outs)
Electrical Power Transmission
Electrical Power Transmission: one-line diagram
15 kV
400 kV
132 kV
Substation
Hydro
Transmission level
Sub-transmission level
Distribution level
Substation
Coal
Weak point
Weak point
33 kVWeak point
Substation
Nuclear
400 km
Large synchronousgenerator
Substation
High-voltageTransmission line
Sub-transmissionline
Bulk supply point
Load point
Power System symbols:
Capacitor bank
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High-Voltage Over-Head Transmission Lines:At 50 or 60 Hz operation
/20
Pmax
2Pmax
PSR
Phase angle
QSR
SRSR
RSSR
RSSR
RSSR
XVVQ
XVVP
cos1
sin
rad60p.u.05.1,95.0
RS
RS VV
Limits:
LongLong--distance transmission line (longerdistance transmission line (longer than 350 km)than 350 km)
j XRj B
j XR j XR j XRj2 B j2 B j2 B j2 B j B
ShortShort--distance transmission line (lessdistance transmission line (less than 50 km)than 50 km)
jXSRRSR
ISR
VS S VR R
jXL=j LjBC=j C
MediumMedium--distance transmission line (lessdistance transmission line (less than 350 km)than 350 km)
jXSRRSR
jBR/2jBS/2VS S VR R
Inherent Limitations of Transmission Systems
The ability of the transmission system to transmit power becomes impaired by one or more of the following steady-state and dynamic limitations:
- Angular stability- Voltage magnitude- Thermal limits- Transient stability- Dynamic stability
These limits define the maximum electrical power to be transmitted without causing damage to transmission lines and electric equipment.
Excessive loading in one or more points of the power network will set a voltage collapse in motion, in that part of the network which, if not contained appropriately, might trigger a wide-area voltage collapse
Inherent Limitations of Transmission Systems
By way of example, the contrived transmission systems shown below undergoes a gradual increase of system active load, to the point in which it becomes impaired by low voltage magnitudes, large voltage angles and excessive current flows
j0.2 p.u.
p.u.004.122V
|SL2| pf=0.95 lag
P12
Q12
The plot opposite shows the voltage-power characteristic at bus 2 where the voltage magnitude drops below 0.65 p.u. for a load of just under 2 p.u.
Today’s power grid, although largely based on the engineering principles laid out in the 1950’s, is highly reliable when properly maintained and operated
Electrical Power Transmission
According to figures given by the USA Department of Energy, today’s electricity system is 99.97% reliable. However, the power outages and interruptions associated with the remaining 0.03% cost the American economy approximately $150 billion each year.
More importantly, an ill-contained power outage due to human error or equipment failure may develop into a wide-area voltage collapse or “blackout”
The Northeast blackout in the USA in August of 2003 left approximately 50 million people with no electricity, affecting business and industry and having a high social cost. On that occasion, the blackout was initiated by a high-voltage power line in Ohio coming into contact with an overgrown tree
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Excessive loading in one or more points of theelectrical power network
Damage to a power line or cable due to a short-circuit
An ill-judged planning operation scenario, e.g.insufficient spinning reserve, taking transmissionequipment out of operation in haste
Inadequate protection against atmosphericdischarges
Inadequate provisions against geothermic storms
Electrical Power Transmission
A report by The Brattle Group in 2008 predicted that the electrical power industry in the USA would need to invest $298 billion in the transmission system between 2010 and 2030, to modernize the power grid
A subsequent report by The Brattle Group in 2010 put the price tag to meet mandates for integrating more renewable energy into the existing electric grid at $50 to $100 billion.
Blackouts – possible causes
Conventional Transmission System Reinforcement
Transmission System Reinforcements –Conventional Solutions
One way in which the transmission system may be reinforced very effectively is by building a second transmission line, in parallel with the original one, effectively halving the overall transmission circuit reactance
The plot opposite shows the voltage-power characteristic at bus 2 where the voltage magnitude drops to 0.65 p.u. but for a load of almost 4 p.u.
j0.2 p.u.p.u.004.122V
|SL2| pf=0.95 lag
j0.2 p.u.
An alternative reinforcement arrangement would be to install in-situgeneration. By way of example, a 100 MW with ±20 MVAR capacity is added at bus 2 of the original system. The voltage magnitude at bus 2 is originally set to 1.04 p.u.
The plot opposite shows the voltage-power characteristic at bus 2 where the voltage magnitude drops to 0.55 p.u. but for a load of almost 2.7 p.u.
j0.2 p.u.
p.u.004.1 p.u.04.1 2
|SL2| pf=0.95 lag
100 MW
Transmission System Reinforcements –Conventional Solutions
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A bank of switched capacitors is installed at bus 2. These are mechanically connected and have the following values: XC1=0.25 p.u., XC2=0.50 p.u. and XC3=0.25 p.u.
The plot opposite shows the voltage-power characteristic at bus 2 where the capacitors are switched on when the voltage drops below 1 p.u., 0.95 p.u.and 0.95 p.u.
j0.2 p.u.
p.u.004.1 22V
|SL2| pf=0.95 lagXC1XC2XC3
Transmission System Reinforcements –Conventional Solutions
A bank of series capacitors are installed at half-way the transmission line to reduce to half the electrical length of the line, i.e. 50% series compensation. These capacitors are permanently connected
The plot opposite shows the voltage-power characteristic at bus 2 where the voltage magnitude drops to 0.60 p.u.but for a load of almost 3.9 p.u.
j0.1 p.u.p.u.004.1 22V
|SL2| pf=0.95 lag
j0.1 p.u.
-j0.1 p.u.
Transmission System Reinforcements –Conventional Solutions
Principles of Mid-Point(Reactive Power)
Compensation
Principle of Power Transmission
jX/2jX/2I
+
Vm
-
+
Vr
-
+
Vs
-
The voltage and current relations are:The voltage and current relations are:
/2/2
I
Vx=jXI
VmVr
Vs
j / 2
-j / 2
(cos 2 jsin 2)cos 2
2(cos 2 jsin 2)2 sin 2
j
s s rm
r
s r
V Ve V V VV VV Ve V
V V VIX X
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Principle of Power Transmission
2
max
2
max
at 2
2 at
VPXVQX
22
2cos 2 jsin 2 sin 2
2 cos 2 sin 2 jsin 2
s sVS V I VX
VX2
2
sin
1 cos
s
s
VPXVQX
Active and reactive power relations:Active and reactive power relations:
Maximum powers:Maximum powers:
21 cosVQ
X
2sinVP
XmaxP
max2P
0
2Phase angle
,P Q
Principle of Shunt Compensation
jX/2jX/2
+
Vm
-
+
Vr
-
+
Vs
-
Ism Imr
The voltage and current relations are:The voltage and current relations are:
jX/2Imr
Vs
jX/2Ism
Vm
Vr
Imr
VmrVsm
/4/4
Ism
/4 /4
j / 2 2(cos 2 jsin 2) sin 2 j 1 cos 2j 2s ms
smm
V V VV Ve V IX XV V
Principle of Shunt Compensation
Active and reactive power relations:
2
2cos 2 jsin 2 sin 2 j 1 cos 2
2 sin 2 j 1-cos 2
sm sm smVS V I VX
VX
2
2
2 sin 2
2 1 cos 2
sm
sm
VPXVQX
Maximum powers:Maximum powers:2
max
2
max
2 at
4 at 2
VPXVQX
max2P
max8P
22
22
,P Q
22sin
2smV
PX
221 cos
2smV
QX
2
sinsV
PXmaxP
Phase angles
Principle of Series Compensation
+ Vc -
+
Vm1
-
jX/2jX/2
+
Vm2
-
+
Vr
-
+
Vs
-
I I
The voltage and current relations are:The voltage and current relations are:
j / 2
-j / 2
j / 2
(cos 2 jsin 2)
(cos 2 jsin 2)j
(cos 2 jsin 2)
ss r c
r
c
V Ve VV V VIV Ve V
XV Ve V
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Principle of Series Compensation
jX/2jX/2 I
+
Vm
-
+
Vr
-
+
Vs
-
-jXC/2 -jXC/2 Vx
-jXC/2 I-jXC/2 I
I
Vm
VrVs
If the series applied voltage Vc is in quadrature with respect to the line current, the series compensator can only supply or absorb reactive power, hence, the source may be replaced by an equivalent reactance:
eq 1
where is the degree of series compensation (0 1)
c
c
X X X X r
Xr rX
Principle of Series Compensation
Current and active and reactive power Current and active and reactive power relations:relations:
2
22
2
2 sin 2(1- )
Re sin(1 )
2 1 cos(1 )
c c
c c
VIr X
VP V Ir X
V rQ I XX r
2
12 1 cosr
rVQ
X2
1sin
rVP
X
maxP
max2P
0 2
Phase angle
,P Q
max4P
max3P
max5P
max10P
0.2r0.4r
0.6r
0.8r0.9r
0r
Principle of Phase Angle Compensation
I+
II-
+-
Vr-
Vr+
VrVs
±jXI
+
V1
-
+
Vr
-
+
Vs
-
The voltage and current relations are:
1 cos jsinVr
V TV
1cos jsinr
II TI
Active and reactive power relations:
2
sinVPX
2
1 cosVQX
Principle of Combined Compensation
Vm±Vc2
Shunt compensation
Vm
ImVm-
Vm+
Vc1
Series compensation
-Vm
Vm-
Vm+
+Vc1
Phase angle compensation
Vc2Vm
Vc1
Vm-
Combined compensation
jXs
+
Vs
-
IsjXr
+
Vr
-
IrVm
jXc2
+Vc2-
jXc1 + Vc1 -Im
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Comparisons of Compensators
The ideal shunt controller acts like a voltage source, which draws or injects current into the network. It enables tight voltage control at the point of connection. It is also quite effective in damping voltage oscillations
The series controller impacts directly the driving voltage and, hence, the current and power flow. If the aim is to control current or power flow and damp oscillations, the series controller is several times more powerful than the shunt controller, for the same MVAThe phase shifter does increase the transmittable power of the uncompensated transmission line. The flat-topped curve indicates the range of the action of the phase compensation
Act
ive
pow
er (p
.u.)
With 50% of series capacitive compensation
1
2
With no compensation
With shunt compensation
With phase-shifter compensation
Phase angles (rad) 0 2 2
Smart Electrical Power Transmission
There is the current wisdom that with the ageing of the electrical power transmissioninfrastructure and its due replacement, there is an opportunity to use the newinvestment and the enabling technologies available today, to benefit the environmentusing clean electrical energy sources and a much enhanced security of supply withincreased energy efficiencies. All these challenging high aims are being collectedtogether under the umbrella title of SMART GRIDS
The aim would be: (i) to prevent wide-area voltage collapse by the co-ordinated supportof reactive power sources at different points in the network; (ii) fast active power controlin designated transmission paths; (iii) local and remote damping of power systemoscillations; (iv) minimum system curtailment under emergency conditions
The widespread deployment of power electronics equipment for voltage and active andreactive power regulation, including FACTS and VSC-HVDC converters
Incorporation of large-size renewable energy power plants, e.g., off-shore windgeneration
Wide area measurement & control using PMUs and ICTSs to co-ordinate the operationof power electronic controllers, fast-acting synchronous generators and variable speedwind generators
Smart Electrical Power Transmission
• Hydro-electric power plants
• Wind power plants
• Wave power plants
• Thermo-solar power pants
• Photo-voltaic power plants
• Power plants with fuel cells
• Biomass-powered micro-plants
• Energy scavenging trees
Renewable Sources of Electrical Power
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Ls
-
+
Graetz bridge
T6 T2T4
T5T3T1
Vbc
Vab
Vc
Vb
Va
Phase control
+VDC
-
Ls
VAC
FACTS and HVDC with Thyristor Valves
IDC
AC1 AC2
Back-to-back HVDC link
Point-to-point HVDC link
AC1 AC2
+ or - VDC
- or + VDC
IDC
IDC
RDC
RDC
FACTS and HVDC with Thyristor Valves
Thyristor-Controlled Reactor (TCR)
Three Phase Static VAR Compensator (SVC)
Thyristor-Switched Capacitor (TSC)
ITCRa
ITCR3
Branch 1 Branch 2n
VaVbVc
ITCRc ITCRb
ITCR1 ITCR2
IaIbIc
ICc ICb ICa
Branch 3
Bypass breaker
TCSC ModuleSeries capacitor
(1.99 mF)Varistor
Thyristorvalve
Reactor(0.470 mH)
Reactor(0.307 mH)
Bypass disconnect
One branch of a Three Phase ThyristorControlled Series Compensator (TCSC)
Q Q
The price to be paid for an improved performance of the power grid using power electronics-based equipment is that such equipment achieves its main operating point at the expense of distorting the voltage and current waveforms – they generate harmonics and quite possibly inter-harmonics as well
The most promising power converter in power transmission applications today uses fully-controllable semi-conductor valves, such as IGBT, and PWM valve control. A wide range of converter topologies are available – the most basic three-phase configuration is shown below
Electrical Power Transmission –Power Electronics-based Equipment
Tb-
C
cb
a
Dc-Db-Da-
Dc+Db+Da+
Tc+
Ta-
Tb+
Tc-
Ta+
Vbc
Vab
Vc Vb Va
o
+
VDC
-C
PWM control
TwoTwo--level voltage source converterlevel voltage source converter
vao
+VDC/2
-VDC/2
Voltage output (Voltage output (vvaoao))
bus k+
VDC- Iv
Ev
Vkma
STATCOM
bus mbus k
Shunt Series IcI
EvRIvR +VDC
-
VmVk
ma ma
EcI
VvR VcRvR cRUnified control system UPFC
Back-to-back
VSC-HVDC
bus mbus k
VvR
+VDC
- IvIIvR VmVkma ma
vR VvI vI
EvR EvI
FACTS and VSC-HVDC with IGBT Valves
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Variable Frequency Transformer
The figure opposite shows a cut-away drawing of a 100 MW VFT installed at Langlois, Canada where the main components are:- The rotary transformer- The drive motor- The collector
The collector system conducts current between the three-phase rotor winding and its stationary bus-bar
One power grid is connected to the VFT’s rotor and the other grid is connected to the VFT’s stator
Induction machine model
Electric drive model
bus kIk
LsRs
GcBm
bus mIm
Rr/SLr
VFT Equivalent Circuit
c
IDC
AC system
turbine side
+VDC/2
-
CBA
DC-DB-DA-
DC+DB+DA+
TB-
TC+
TA-
TB+
TC-
TA+
VBC
VABo
+VDC/2
-AC system
Grid side
Db+
Dc-
ba
Vbc
VabDc+
Da-Db-
Da+
gear box
IG
IGBT converters
SG
IGBT converters
IGBT converters
Renewable Sources of Electrical Power - Wind
6 MW rated machinerotor diameters of 126 m
tower heights of 135 m
15 kV
STATCOM
400 kV
132 kV
TCSC50% compensation
400 km
Mainland
Multi-terminal CSC-HVDC Link
1000 km
CSP plant
CSP plant
50 km
Off-shore wind farm
100 km
“dead” load
Off-shore wind farm
Multi-terminal VSC-HVDC grid
SVC
Island
PMU
PMU
PMU
System 5 f=60 Hz
System 1 f=50 Hz
System 2 f=60 Hz
System 3 f=50 Hz
System 4 f=60 Hz
Asynchronously Connected Sub-systems
PMU