towards autonomous power management: extending the … · 2017. 10. 16. · • a. trias, j. l....
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TowardsAutonomousPowerManagement:ExtendingtheHolomorphic
EmbeddingLoadflowMethodforNASADCsystems
EnergyTechConferenceNovember28,2016
BobStuart,PIGridquantTechnologiesLLC
AntonioTrias,Ph.D.JoseLuisMarin,Ph.D.
ElequantInc.
Gridquant Technologies LLC & Elequant, Inc. 2
Outline
• TheneedforautonomouscontrolofspacecraPpower
• TheroleandrelevanceofpowerflowinNASA’sIntelligentAutonomousControlArchitecture
• HELMTM:quickoverview
• SBIRresults:– Devicemodeling(ISSsinglechannel)
– LatestbreakthroughsinHELMtheory
• VisionforfutureapplicaXons
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TheneedforAutonomousControlofSpacecra7PowerSystems
Ø SpacecraPPowerSystemsareDCmicrogridsthatmustbeextremelyrobustØ InternaXonalSpaceStaXon(ISS)andmannedspacemissionsinnearearthorbithaveconstantgroundsupportfromHoustonMissionControlCenterØ DeepSpaceTraveltoMARSwillrequireautonomouscontrolduetocommunicaXonlatencyØ CommunicaXonlatencyforMARSmissionwouldbeanywherefrom15to25minutesdependingonofproximityofMARSorbitinrelaXonshiptoEarth
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TheroleofpowerflowinDC&ACpowersystems
• LargeTerrestrialACNetworksrepresentadynamicsystemthatconstantlychanges24x7-ThousandsofcontrolacXonstakendailytocontrolvoltageandfrequency-GeneratorexcitaXoncontrol,loadtapchangers,phaseshiPers,reacXvedevices-AGCatamoremacrolevel,andoperatoracXonintermsofschedulechanges
• DCMicrogridsonboardspacecraPandontheISSalsorepresentverydynamicsystems
-SSUinPVarraypanelsandvoltagecontrolbytheDDCU-DCcomponentssuchasPVarraysandba`eriesareinherentlynon-linear
• TerrestrialACnetworksandDCmicrogridshavetheluxuryofoperatorintervenXon
• PowerflowsinterrestrialACnetworksplayasignificantroleindeterminingphysicalstate:-ACpowerflowscriXcaltodeterminingwhetherinastablestateornearcollapse-DuringXmesofextremestressorlargestepchanges,iteraXvemethodshavefailed
• AutonomouscontrolofspacecraPrequiresrobustpowerflowsthatcansolveatthelimit
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TheroleandrelevanceofpowerflowinNASA’sIntelligentAutonomousControlArchitecture
FromJ.Soederetal.,”OverviewofIntelligentPowerControllerDevelopmentforHumanDeepSpaceExplora;on”,IECEC2014
• InuXliXes,powerflowisnormallyassociatedtoanalysisandplanningtasks
• HerewehaveaverydifferenttypeofapplicaXoninmind:analy<caltoolsfordecision-supportinnetworkoperaXons;andulXmately,forcompleteautonomousmanagement.
PowerSystemModelfuncXons:1. ModelofpowergeneraXon2. Modelenergystorage3. Modelpowernetwork(powerflowmodelof
thedistribuXonsystem)4. PowerSystemStateEsXmator
Thismoduleprovideshighfidelitymodels&simula<onofthepowersystem,whichothercontrolblocksneedtomakedecisionsregardingcontrolac<ons.
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HELM™Overview
Currentmethods:lackofconvergence;neediniBalseedsoluBon
• HolomorphicEmbeddingLoadFlowMethod
– Direct,construcXvesoluXontopowerflowequaXons
– Non-iteraXveanddeterminisXc,unliketradiXonalmethods
– UsesafundamentallynewmathemaXcalapproach
• BasedonComplexAnalysis:analyXcconXnuaXon,notnumericalconXnuaXonorhomotopy
• Newmeasuresofdistancetocollapse(Sigmaindicators)
• ThisnewPFengineisthekeyenablerofanewclassofsoPwareapplicaXonsfordecisionsupportingridoperaXons
– ApplicaXonscannowreliablyperformmassivesearchonthestate-spaceofthesystem.AnalogoustoGPSsat-nav.
– TheyruninparalleltoexisXngtools–actasexpertoperatorsupportinonlinemode
– TheyworkintermsoftheactualSCADAacXons,notidealizedorsimplifiedmodels
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HELM™OverviewIfpocketcalculatorsbehavedlike(iteraXve)powerflow…
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SBIRresults:extensiontoNASADCsystems
• DemonstratedthefeasibilityofadapXngHELMtofullyDCnetworks.
• A.Trias,J.L.Marin,“TheHolomorphicEmbeddingLoadflowMethodforDCPowerSystemsandNonlinearDCCircuits”,IEEETransacXonsonCircuitsandSystemsI:RegularPapers,63(2),pp.322—333,2016.
CPL
R12
1 2
• DevelopedHELMABAC,aMATLAB-basedimplementaXon.Openandauditablecode.
• NowdevelopingHELMLABDC,forfullyDCsystems.TargetmodelsaretheISSPMAD.
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SBIRresults:devicemodeling
• ISSmodelsfromPCKrause(Simulink,averaged)• Derivedtheircorrespondingsteady-statemodelsforpowerflow
V (volts)
I (am
ps)
50
60
Vengage105 V
Von Vmin
Voff
Op. point
80 100 160
155 160 165
-40
-30
-20
-10
0
10
20
30
40
50
60
Input Voltage (V)
Inpu
t Cur
rent
(A)
Voltage Command
deadbanddischargeSlope
chargeSlope
imin
imax
Primary side(input)
Secondary side(output)
1 : M(D) vp vs rs
ip is
Control input D Power conversion efficiency η
v's
PVsolarPanels(+SSU)
Ba`eries(BCDU) DC-DCconverters
(DDCU)
ConstantPowerLoads(+converter)
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Fullsystemexample:ISS,1-channel
CPL
PV panel
Constant Power Load
Rline
Rin
Cin
Vload
Vtr_bus
τ=RC
Vd_busSSU
R
LC
Vbatt
Rbatt
BCDU
SBIRresults:devicemodeling
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SBIRresults:devicemodeling
SteadyStatevs.TimeDomain• Steady-statemodelingeasiertofittoreality;fewerparameters• Inreal-Xmescenarios,(StaXc)StateEsXmaXonneededtogetthose
parameters
• Atdesign-Xmeandanalysisscenarios:HELMcomplementsXme-domainsimulaXon,byprovidingthe(stable)DCoperaXngpoints.
• MinorissueswhentryingtomatchSimulink:• Fimngthesteady-stateerrorfromfeedbackcontrolloops.• Modeldynamiceffects(e.g.effecXveresistancesinaDC-DCconverter)àinreal-
Xme,be`ertojustesXmatethem
• Butremember:therealaimisnotmatchingdetailedXme-domainmodels,butobtaininggoodsteady-statemodelsfortheiruseinreal-<me,powerflow-basedalgorithms.
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Verifyingthestabilityofsolu<onswithdynamicsimula<ons
SBIRresults:HELMLABDC
Lowload,onlyonesoluXon• Itisstable(a`ractor)
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Highload,threesoluXons:• Twoarestable(a`ractors)• Oneisunstable(repeller)
SBIRresults:HELMLABDC
Verifyingthestabilityofsolu<onswithdynamicsimula<ons
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NewmethodtofindallsoluBonsinachaintopology(reparameterizaXontechnique)
All16solu;onbranchesofa5-busDCradialchainnetwork
whitebranch
non-whitebranches(physical)
non-whitebranches(non-physical)
SignificantadvancesinHELMtheory
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VisionforfutureapplicaXons
• ThisSBIRisprototypingapowerflowengineusingtheISSmicrogridasamodel;thiswillbeextendedtootherfuturespacecraP(Orionsystems)andfuturemicro-griddesigns(e.g.otherdeepspacevehicles,orlunarbases).
• AutonomousgridoperaXonisachievableviamodel-basedalgorithmsbasedon(intelligent)exploraXonofthesteadystatesofthenetwork.Closelyrelatedtotheparadigmofmodel-predicXve-control;onlythisisattheXmescalesofhumanoperators.
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VisionforfutureapplicaXonstoNASAandterrestrialsystems
• OurPhaseIISBIRdemonstratedthatHELMsolvesreliablythepowerflowinDCmicrogrids.ItprovidesthestableoperaXngpoints,incaseseveralarepossible.
• HELM,alongwithadvancedintelligentapplicaXons(inthespiritofthoseusedinAGORAforterrestrialgrids)canbeintegratedinthefutureforautonomouscontrolofspacecraP
• HELMcanbekeyforthemanagementoffuturetechnologiessuchasSolarElectricPropulsion(SEP),wherethesystemundergoesabruptstatechanges.
• EmergingterrestrialmicrogridswillneedHELMtechnologyinthefuture
Figure1.Schema<cofmicrogrid SourceofPicture:J.Soederetal.,“ApplicaBonofAutonomousSpacecraPPowerControlTechnologytoTerrestrialMicrogrids”,IECEC2014
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BACK-UPSLIDES
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TheroleandrelevanceofpowerflowinNASA’sIntelligentAutonomousControlArchitecture
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HELM:quickoverview• A new method for solving the powerflow equations.
• Based on Complex Analysis (holomorphicity, algebraic curves, power series, analytic continuation)
• Constructive, direct, non-equivocal, and complete:
• Provides the operational solution when it exists
• Correctly detects powerflow infeasibility when no solution exists
Yi(sh)
Si
Bus i
Bus j
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RelevancetoNASA
Iterative methods: • dependent on the choice of a “suitable” initial
seed • intrinsic fractality makes their results erratic. • need human supervision • cannot be fully trusted for automation purposes.
FractalbasinsofaQracBoninIEEE-300
By contrast, HELM: • always provides correct results, completely
unattended • enables new applications for the autonomous
operation of power systems. • already proven in AC transmission grids; used
for real time decision-support for operators. Our approach to autonomous operation is algorithmic and model-based. Think “GPS satnav for network operators”.
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HELM™powerflowfornetworkapplica<onsinu<li<es
AIALoadFlow
ConXngencyAnalysis
StateEsXmator
RTSimulator
PV/QVCurves
OPF
RestoraXonSolver
Lim.Viol.Solver
SCADA
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SpacecraPPowerSystemArchitecture
Source:J.Soederetal."OverviewofIntelligentPowerControllerDevelopmentforHumanDeepSpaceExploraBon”,2014.
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G(tr)=a / rs
Gp(sh) = a(a-1)/rs Gs
(sh) = (1-a)/rs
p s
SBIRresults:devicemodeling
Example:DC-DCconverters• Reducedtojustthreeparameters:rs, a,η.• CanbemadetofullyresembletheirAC
counterparts
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BasicDCpowersystem
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NonlinearBehaviorofComponents
• ThenonlinearbehaviorofcomponentsresultsinmulXplesoluXonpoints.TheactualoperaXngstateisdeterminedbythestabilityofthesoluXonpoints.
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• RealisXcmodelofcomplexACpowergrid
• Severalnodesnearvoltagecollapse
• HELMTMtechnologycanaccuratelydeterminedistancetocollapse
• Aroadmapcanbeprovidedbacktostablesystemevenifsystemhascollapsed
HELM-basedtools:HELM-FlowIEEE300-busmodel
HELMTM–FlowSigmaCurve