lecture 23 trans
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PowerTransferCapabilityLimits
DrMSRMurty
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Transfercapability Themaximumpowerthatcanbetransferred
iscalled
the
transfercapability.
Forproperoperationofthepowersystem
and
to
gain
the
benefits
of
the
bulk
power
transfers,thetransfercapabilitiesmustbe
calculatedandthepowersystemplannedand
operatedso
that
the
power
transfers
do
not
exceedthetransfercapability.
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TransferCapability:
Terminology
TotalTransferCapability(TTC):Theamountof
electricpower
that
can
be
moved
or
transferredreliablyfromoneareatoanother
areaoftheinterconnectedtransmission
systemsby
way
of
all
transmission
lines
(or
paths)betweenthoseareasunderspecified
system
conditions.
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TotalTransfer
Capability
(TTC)
TTC=ETC+ATC+CBM+TRM
Where
ETC= ExistingTransmissionCommitments
ATC
=AvailableTransfer
Capability
CBM=CapacityBenefitMargin
TRM=Transmission
Reliability
Margin
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FCITC:FirstContingencyIncrementalTransfer
Capability(FCITC)
is
the
Available
Transfer
Capability(ATC),afterCapacityBenefit
Margin(CBM)
TRM:TransmissionReliabilityMargin
ETC:ExistingTransmissionCommitments
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Flowpaths
between
areas
Flowsalongtheprimarypathand
Flowsoccur
along
the
parallel
path
due
to
physicalconditions
Restrictionon
the
amount
of
power
transfer
canoccurduetoanypath
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Transferlimits
Keyconsiderationsinevaluatingtransferlimits
are:
thermalloading
voltageproblem,
or
angularstability
Theconditionsbywhichatransferlevelis
acceptableor
not
are
defined
by
the
reliability
criteria.
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Transferlimits
Thelimitmaybereachedduring
normalconditions
inthetransientperiodfollowinga
disturbanceor
following
acontingency
such
as
lossofaline.
Typically,therewillbeonelimitingcondition
definedby
the
type
of
disturbance,
the
type
of
limit(thermal,voltageorstability)andthe
loadinganddispatchstate.10/16/2010 8
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Transferlimits
Transferlimitsareafunctionoftheoperating
state:
theloadlevel
generationdispatch
thestatusoftransmissionelements(e.g.,
undermaintenanceoroffline).
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Transferlimits
Hourlytransferlimitsexperiencedbythe
operatingpower
system,
and
plannedtransfercapabilityasstudiedby
transmissionplanners.
Thecalculationoftransferlimitsmay
sometimesbeconstrainedbytheactual
capabilityto
monitor
specific
parameters
of
thepowersystem.
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Firstcontingencyincremental
transfercapability(FCITC)
FCITCistheamountofelectricpower,
incrementalabove
normal
base
power
transfer,thatcanbetransferredoverthe
interconnectedtransmissionsystemsina
reliablemannerbasedonvariousconditions.1)Withnormal(precontingency)operating
procedures,all
facility
loads
are
within
normal
ratingsandallvoltagearewithinnormal
limits.
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FCITC
2)Theelectricsystemsarecapableofremaining
stablefollowing
any
single
contingency.
3)Afterthedynamicpowerswingssubside
followingasinglecontingency,alltransmission
facilityloadingsarewithinemergencyratings
andallvoltagesarewithinemergencylimits.
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TransferCapability
Analysis:
Steps
1. EstablishaSecure,solvedbasecase
With
no
power
transfer
lineflows,busvoltageswithinoperating
limits2.Specifyatransferincludingsourceandsink
assumptions
Bus
A
(source
of
power
)to
Bus
B
(sink)
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TransferCapability
Analysis:
Steps
3.Establishasolvedtransferlimitedcaseanda
bindingsecurity
limit
Transferincreasedtoalimitonlineflow,
voltagemagnitude,voltagecollapseetc.,
4.CalculateTransfermargin
Differencebetweenthetransferatbase
caseand
limiting
case
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TransferCapability
Calculation
Amountoftransfer:AScalarparameterthat
canbe
varied
in
the
model
Transferexpressedintermsofbusinjections
Continuation
process:
Series
of
power
system
solutionssolvedandtestedforlimits
Transfercapability:Amountoftransferfrom
thebase
case
transfer
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ContinuationModel
Aseriesofloadflowcalculationsforincreasing
amountsof
transfers
or
by
more
elaborate
highperformancenumericalmethods.
Powersystemnonlinearity,operatoractions,
controlssuchastapchanges,andgenerator
limitsarealsobeincluded
Usefultransfer
capabilities
can
also
be
obtainedwithsimplerpowersystemmodels
suchastheDCloadflowapproximation.
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TransferLimitAnalysis(TLA)
modulein
PSS/E
AvailableTransferCapability(ATC)calculation
Transferlimits
due
to
thermal
and
voltage
relatedavailabilitycriteria
Parametric
analysis:
Series
of
Power
Flows
till
limitingcondition
PVCurveanalyticalengine:Tofindboth
thermaland
voltage
constrained
transfers
Probabilistictransferlimits
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ACbased
transfer
limits
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Low voltage transfer limit: As transfer is increased voltage decreases at
some bus near transfer path and reaches low voltage criterion
With further increase Voltage collapses at a point called voltage collapse
transfer limit
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PVCurve
or
Knee
of
curve
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PV Curve from a series of AC
power flows from a low transfer
level increasing in steps
Voltage collapse studied separately
Using Non- Divergent power flow method
For buses relatively remote from transfer path
All of the curves will not have a low voltage
transfer limit.
However, all of the curves have the
same voltage collapse transfer limit.
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PV
Curve
analysis
Monitorsvoltageatallbusesornodeswithin
amonitored
sub
system
which
may
include
busesonthetransferpathaswellasthosein
thereceivingandsendingareas.
Appliesitsnondivergentpowerflowalgorithmtoidentifythetransferlevelat
which
voltage
collapse
occurs.
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PV
Curve
analysis
contd.,
Optionsforadjustingtransfers:
loadchange
generationredispatchaccordingto
participation
factors
and generationredispatchaccordingtoeconomic
basis.
Usesan
adaptive
step
size
to
minimize
the
numberofpowerflowevaluationpointswhile
maintainingresolutiononthePVcurves10/16/2010 22
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ThermalTransfer
Limit
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Monitoring of flow on a selected branch
Thermal rating specified
Is reached at Overload tr. limit
Linearized
DC power flow method
used to generate tableof tr limits
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ThermalTransfer
Limit
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Linearized
DC power flow methodused to generate table
of tr limits
Linear approximation methods:1. Distribution factors method
2. Interpolation method
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Transferlimit
monitoring
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Each line has its own thermal limit
Constraining thermal limit: Line which reaches its
Thermal rating at the lowest transfer level
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UncertaintiesinTransferlimits:
deterministiccalculation
Generationdispatchandinthemannerwhich
init
changes
as
transfers
increase
Demandorloadwithrespecttoboththetotal
andthedistributionbysubstation
Theuncertaintyintransfersincreasingtothe
levelswhichhavelimitingconditions
Theimpact
of
forced
outages
in
the
transmissionsystem
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Probabilitymethod
Exposurefunctiontorepresenttheprobabilityof
occurrence
of
agiven
load,
dispatch
and
transferlevel
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Cumulativeprobability:
Example
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Cumulative probability of overloads as
function of transfer
At transfers below 440 MW: Zero possibility
Above 580 : 100 % probability
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Summary Themaximumpowerthatcanbetransferred
iscalled
the
transfercapability.
Limitscanbeduetothermalloading,voltage
problem,orstability
Methodsofanalysis:PVCurveanalysis,
probabilisticmethods
Seriesof
Power
flow
calculations
are
required
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