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MELCOR Modeling of HTGR’s
Program Review Meeting College Station TX February 25 2009College Station, TX, February 25, 2009
K. VierowDepartment of Nuclear Engineering, Texas A&M UniversityCollege Station, TX USA
Laboratory for Nuclear Heat Transfer Systems
Outline of Presentation
• MELCOR Model of PBMR • MELCOR Model of Prismatic Core Reactor• MELCOR Application in NRC-OSU Project Task 4
Laboratory for Nuclear Heat Transfer Systems2
MELCOR Model of PBMR
• PBMR, Ltd. Design chosen as reference designg g– 268 MWe– Pressure vessel at 7.1 MPa– Fueled and unfueled “pebbles”– Fueled and unfueled pebbles
• 6 cm diameter spheres• Approximately 440,000 total spheres in the core, 330,000 fuel
spheresspheres• Fuel particle coatings serve as the containment
– Helium coolant• Downflow reactor• Downflow reactor• Helium passes high temperature heat for electricity and/or
hydrogen production• T inlet = 500oC T outlet = 900oC
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T,inlet 500 C, T,outlet 900 C
MELCOR Model of PBMR
Graphite Fuel spheres spheres
From: A.C. Kadak and M.Z. Bazant 2nd InternationalBazant, 2nd International Topical Meeting on High-Temperature Reactor Technology, 2004.
Aerial view of PBMR core
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MELCOR Model of PBMR
TRISO Fuel Details
Laboratory for Nuclear Heat Transfer Systems
MELCOR Model of PBMR
• Technical Challenges for MELCOR• Technical Challenges for MELCOR– Fuel geometry differs from that of LWR– Gas coolant replaces light water coolant– Core modeling includes packed bed flow and other
considerations– Severe accident models needed for phenomena peculiar to
high-temperature gas-cooled reactors
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MELCOR Model of PBMR
Gas Inlet
Gas Upper
PlPlenum
Pebble Bed Core
Gas Gas Outlet
Lower Plenum
} } } } }} } } } }
R1 Unfueled
R2 50% Fueled
R3 Fueled
R4 Fueled
R5 Fueled
MELCOR Model of PBMR
• Fuel ModelingA th t f l h b d l d ti l t d b i– Assume that fuel spheres can be modeled as particulate debris
• Particulate Debris model within COR package– After LWR fuel pin collapses, “Particulate Debris” (PD) formste ue p co apses, a t cu ate eb s ( ) o s
• Computationally defined as a packed bed with a user-specified radius and porosity
– Triggers a flow blockage model in the flow path (FL) package gg g p ( ) p gthat calculates pressure drop using the Ergun equation
• Alters cell flow area• Calculates pressure drop using the generalized Ergun equation (for p p g g g q (
packed beds)– Calculates convective heat transfer over pebbles
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MELCOR Model of PBMR
• Modeling of Fueled and Nonfueled Spheres as g pParticulate Debris– Lumped parameter modeling
• Spheres are isothermalSpheres are isothermal• Assumes fuel is a homogeneous mixture of materials• Properties can be averaged together to approximate a “pebble”
material– Spheres with fuel contain UO2 and are otherwise the same
as unfueled spheres
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MELCOR Model of PBMR
Approximate Solution for Pebble Surface TemperatureH t ti i h i l di tHeat equation in spherical coordinates:
B d diti I iti l ditiBoundary condition: Initial condition:
First term approximate numerical solution [1]:
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[1] Frank P. Incropera and David P.DeWitt,Fundamentals of Heat and Mass Transfer,2006.
MELCOR Model of PBMR
Modeling of the Gas Coolantg• Water is the coolant used by default in MELCOR
– Uses a two-phase flow model (pool and atmosphere)• A gaseous coolant may be specified instead of steam/waterA gaseous coolant may be specified instead of steam/water
– Gas properties embedded in code as formulas, particularly, the ideal gas law
• High velocities not a problem for the nodalizations usedHigh velocities not a problem for the nodalizations used– Courant number is not limiting even at high velocities (> 100 m/s)
• Ideal gas behavior under PBMR conditions was confirmed
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MELCOR Model of PBMR
• Further considerations for core modelingg– Neutronic feedback may be needed– Core porosity is not constant throughout pebble bed– Hot spot development within fuel should be evaluated– Hot spot development within fuel should be evaluated– Hot spot development within coolant should be evaluated– Fuel element relocation occurs in dynamic cores– More accurate pressure drop calculations throughout reactor
pressure vessel depend on unknown design details
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MELCOR Model of PBMR
MELCOR Nodalization for
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MELCOR Nodalization for DLOFC Accident Simulation
MELCOR Model of PBMR
Case 1: No decay heat
Case 2: with decay heat
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Pressure Vessel Depressurization
MELCOR Model of PBMR
Case 2: with decay heat and no oxidation.
Case 1: No decay heat and no oxidation.
Case 3: with decay heat and with oxidation Fuel temperature
comparisoncomparisonfor different cases
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MELCOR Model of Prismatic Core Reactor
GT-MHR Reactor System [INL Point Design Report]
MELCOR Model of Prismatic Core Reactor
Cross sectional view of the GT-MHR and NGNP cores [INL Point Design Report]
MELCOR Model of Prismatic Core Reactor
Laboratory for Nuclear Heat Transfer Systems
Cross sectional view of the Graphite Fuel Block [GA Conceptual Design Report]
MELCOR Model of Prismatic Core Reactor
Upper plenum volume 280
HS34
Nodalization of the GT-MHR/NGNP Model
Upper reflector CV 166
CV 116
CV
CV 126
CV
CV 136
CV
CV 146
CV
CV 156
CV
HS32272625
24
272625
2423
HS3334001
HS34
34002 34003 34004 34005Core barrel RPV wall
CV 165
CV 164
CV 114
CV 115
CV 124
CV 125
CV 134
CV 135
CV 144
CV 145
CV 154
CV 155
232221
20191817
16
232221
20191817
164CV 163
CV 162
CV 113
CV 112
CV 123
CV 122
CV 133
CV 132
CV 143
CV 142
CV 153
CV 152
16151413241211109
16151413241211109
Ring 1: inner reflector
Ring2, Ring3, Ring4: active core
Ring 5: outer reflector
CV 161
CV 160
Lower reflector
CV 111
CV 110
CV 121
CV 120
CV 131
CV 130
CV 141
CV 140
CV 151
CV 150
876543210
8765
4321
Core exit plenum 054 CV 190
CV 200
Cavity 050
0
Helium riser
MELCOR Model of Prismatic Core Reactor
GT-MHR RPV Model Results
[INL Point Design Report] MELCOR
Coolant Inlet Temperature (°C) 491 491Average Coolant Outlet Temperature (°C) 850 844.7Bypass Flow Fraction 0.2 0.18Maximum Fuel Temperature (°C) 1218 1514 4Maximum Fuel Temperature ( C) 1218 1514.4Maximum Graphite Temperature (°C) 1142 1334.3Temperature Difference Within the Same Block (°C)
50 – 100(from GA) 269.8
Maximum Coolant Outlet Temperature (°C) 1021 1044.1
Laboratory for Nuclear Heat Transfer Systems
MELCOR Model of Prismatic Core Reactor
ConclusionsConclusionsMELCOR results:MELCOR results:•• Predicting mass flow rate and coolant temperatures Predicting mass flow rate and coolant temperatures
ith hi hith hi hwith high accuracywith high accuracy•• Reasonable bypass fraction tooReasonable bypass fraction too•• Fuel temperatures higher than the references but stillFuel temperatures higher than the references but still•• Fuel temperatures higher than the references but still Fuel temperatures higher than the references but still
within design limits (1600within design limits (1600°°C)C)•• Peak graphite temperature and graphite temperature Peak graphite temperature and graphite temperature
difference within the same block higher than the difference within the same block higher than the referencesreferences
Laboratory for Nuclear Heat Transfer Systems
MELCOR Model of Prismatic Core Reactor
Hypothetical PCC accident:Hypothetical PCC accident:ypypSequence of events:Sequence of events:•• Turbine trip Turbine trip
B th th PCS d th SCS f il t f tiB th th PCS d th SCS f il t f ti•• Both the PCS and the SCS fail to function Both the PCS and the SCS fail to function •• Core residual heat (decay heat and sensible heat stored in Core residual heat (decay heat and sensible heat stored in
graphite) removed by the RCCS from the RPV through thermal graphite) removed by the RCCS from the RPV through thermal di ti t l ti d d tidi ti t l ti d d tiradiation, natural convection and conductionradiation, natural convection and conduction
Laboratory for Nuclear Heat Transfer Systems
MELCOR Model of Prismatic Core Reactor
Assumptions Assumptions pp•• The reactor is assumed to be shutdown within 10 s.The reactor is assumed to be shutdown within 10 s.•• The detection of turbine trip is automatic. The detection of turbine trip is automatic. •• The initiation of SCS is automatic and the detection of its failure toThe initiation of SCS is automatic and the detection of its failure to•• The initiation of SCS is automatic and the detection of its failure to The initiation of SCS is automatic and the detection of its failure to
start is automatic.start is automatic.•• The PCC begins right after the end of normal operation. The PCC begins right after the end of normal operation.
When PCC begins the inlet and outlet boundary have theWhen PCC begins the inlet and outlet boundary have the•• When PCC begins, the inlet and outlet boundary have the When PCC begins, the inlet and outlet boundary have the equilibrium pressure of 5.03 MPa and the helium inlet equilibrium pressure of 5.03 MPa and the helium inlet temperature at normal operating conditions. temperature at normal operating conditions. These two boundaries are linked to the PCSThese two boundaries are linked to the PCS•• These two boundaries are linked to the PCS. These two boundaries are linked to the PCS.
•• The whole PCS has a pressure of 5.03 MPa and the helium inlet The whole PCS has a pressure of 5.03 MPa and the helium inlet temperature at normal operating conditions.temperature at normal operating conditions.
Laboratory for Nuclear Heat Transfer Systems
MELCOR Application in NRC-OSU Project Task 4
ConclusionsConclusions•• The inner reflector next to the hottest fuel should have The inner reflector next to the hottest fuel should have
a temperature of 1100a temperature of 1100°°C during steady state C during steady state according to GA. according to GA. gg–– MELCOR predicts a temperature of 812MELCOR predicts a temperature of 812°°C. C.
•• MELCOR underpredicts fuel temperaturesMELCOR underpredicts fuel temperatures–– The MELCOR results show a much greater heat The MELCOR results show a much greater heat
removal from the hottest fuel block by the inner removal from the hottest fuel block by the inner reflector graphite through conduction and radiationreflector graphite through conduction and radiationreflector graphite through conduction and radiation.reflector graphite through conduction and radiation.
–– Since the heat removal is significantly bigger than Since the heat removal is significantly bigger than the generation from decay power, fuel temperature the generation from decay power, fuel temperature
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drops.drops.
MELCOR Application in NRC-OSU Project Task 4
• Task 4– Development of Instrumentation Plan (OSU,
TAMU, NRC)MELCOR i t ill b d d t l• MELCOR user input will be needed to place instrumentation appropriately for obtaining code validation dataMELCOR ill i t i d t i ti f t• MELCOR users will assist in determination of parameters to measure
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MELCOR Application in NRC-OSU Project Task 4
• Task 4– Development of Test Plan (OSU, TAMU, NRC)
• MELCOR input models of HTTF facility will be developedP bbl b d d i– Pebble bed design
– Prismatic core design• Pre-test predictions will be performed• Simulations will guide selection of initial and boundary
conditions
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MELCOR Application in NRC-OSU Project Task 4
• Task 4– Phenomenological Test Data Analysis (OSU,
TAMU)HTTF d t ill b l d• HTTF data will be analyzed
• New models based on the test data may be compared against existing models via MELCOR simulations
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MELCOR Application in NRC-OSU Project Task 4
• Task 4– Code Validation and Benchmarks (OSU, TAMU)
• MELCOR will be validated against test dataT i t diti– Transient conditions
– Accident conditions• Any identified input modeling deficiencies will be
addressed• Any identified code deficiencies will be documented• Test matrix will be re-analyzed with modified input modelsy p
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