def depletionModel():
# Roughly one-fourth volume of fuel in PWR
VOLUME = math.pi * 0.49**2 * 360 * 264 / 4
fuel1 = hydep.BurnableMaterial("partially burned PWR fuel",
adens=2.6858e-2,
temperature=900,
volume=VOLUME)
ISO_THRESH = 1e-10
CONC_FILE = pathlib.Path(__file__).parent / "partial_burned.dat"
with CONC_FILE.open("r") as stream:
for line in stream:
za, adens = line.split()
adens = float(adens)
if adens < ISO_THRESH:
continue
z, a = divmod(int(za), 1000)
fuel1[(z, a, 0)] = adens
water = hydep.Material("water", mdens=0.7, H1=2, O16=1)
clad = hydep.Material("clad", mdens=6.6, Zr96=1)
fuel2 = fuel1.copy()
fuel3 = fuel1.copy()
fuel4 = hydep.BurnableMaterial(
"other fuel",
adens=fuel1.adens,
temperature=fuel1.temperature,
volume=VOLUME,
O16=4.643355421e-4,
U234=4.742255584e-9,
U235=7.403701961e-4,
U236=1.090905903e-5,
U238=2.550365361e-2,
)
pin1 = hydep.Pin([0.39, 0.42], [fuel1, clad], outer=water)
pin2 = hydep.Pin([0.39, 0.42], [fuel2, clad], outer=water)
pin3 = hydep.Pin([0.39, 0.42], [fuel3, clad], outer=water)
pin4 = hydep.Pin([0.39, 0.42], [fuel4, clad], outer=water)
PITCH = 1.2
cart = hydep.CartesianLattice(nx=2,
ny=2,
pitch=1.2,
array=[[pin1, pin2], [pin3, pin4]],
outer=water)
assembly = hydep.LatticeStack(1, [0, 360], [cart])
assembly.bounds = ((-PITCH, PITCH), (-PITCH, PITCH), (0, 360))
# TODO Retrieve boundaries from model if given
model = hydep.Model(assembly)
model.bounds = assembly.bounds
yield model
def pinFromBundle(materials, bundle):
return hydep.Pin(
bundle.radii[:-1],
[materials[k] for k in bundle.materials[:-1]],
materials[bundle.materials[-1]],
name=bundle.name,
)
def beavrsInstrumentTube(beavrsMaterials):
"""Return an instrumentation tube"""
return hydep.Pin(
[0.43688, 0.48387, 0.56134, 0.60198],
[beavrsMaterials[m] for m in ["air", "zirc4", "water", "zirc4"]],
outer=beavrsMaterials["water"],
name="Bare instrumentation tube")
def toy2x2lattice():
"""A simple 2x2 model with 4 UO2 fuel pins"""
fuel = hydep.BurnableMaterial("fuel", mdens=10.4, U235=8e-4, U238=2e-2, O16=4e-4)
clad = hydep.Material("clad", mdens=6, Zr91=4e-2)
water = hydep.Material("water", mdens=1, H1=5e-2, O16=2e-2)
pin = hydep.Pin([0.42, 0.45], [fuel, clad], outer=water)
return hydep.CartesianLattice(2, 2, 1.23, [[pin, pin], [pin, pin]])
def beavrsFuelPin(beavrsMaterials):
"""Return a fuel pin using 3.2 wt% enriched fuel
No radial divisions are performed in the fuel region
"""
return hydep.Pin(
[0.39218, 0.40005, 0.45720],
[beavrsMaterials[m] for m in ["fuel32", "helium", "zirc4"]],
outer=beavrsMaterials["water"])
def beavrsControlPin(beavrsMaterials):
"""Return a control pin using boroscillicate glass poison
No radial divisions are performed in the boroscillicate glass
"""
return hydep.Pin(
[0.2140, 0.2305, 0.2413, 0.4267, 0.4369, 0.4839, 0.5613, 0.6020], [
beavrsMaterials[m] for m in [
"air", "ss304", "helium", "bglass", "helium", "ss304", "water",
"zirc4"
]
],
outer=beavrsMaterials["water"])
def pincell():
fuel = hydep.BurnableMaterial("fuel", mdens=10.4, volume=math.pi * 0.39 * 0.39)
fuel["O16"] = 4.6391716e-2
fuel["U234"] = 9.3422610e-6
fuel["U235"] = 1.0452130e-3
fuel["U236"] = 4.7875776e-6
fuel["U238"] = 2.2145310e-2
water = hydep.Material("water", mdens=1, temperature=600)
water["H1"] = 5.01543e-2
water["O16"] = 2.50771e-2
water.addSAlphaBeta("HinH2O")
clad = hydep.Material("clad", mdens=6.6, temperature=600)
clad["Fe56"] = 1.24985e-2
clad["H1"] = 3.34334e-2
clad["O16"] = 1.66170e-2
pin = hydep.Pin([0.39, 0.402], [fuel, clad], outer=water)
HPITCH = 0.63
model = hydep.Model(pin)
model.bounds = pin.bounds = ((-HPITCH, HPITCH), (-HPITCH, HPITCH), None)
return model
def simpleSfvProblem(endfChain):
PIN_RAD = 0.39
PIN_HEIGHT = 10
PITCH = 1.2
volume = math.pi * PIN_RAD**2 * PIN_HEIGHT
fuel1 = hydep.BurnableMaterial("partial burned PWR fuel",
adens=2.6856e-2,
temperature=900,
volume=volume)
fuel1[80160] = 4.643e-04
fuel1[922340] = 4.742e-9
fuel1[922350] = 7.404e-4
fuel1[922360] = 1.091e-5
fuel1[922380] = 2.550e-5
fuel1[942390] = 2.569e-05
fuel1[942400] = 1.099e-06
fuel1[942410] = 1.225e-07
fuel1[942420] = 1.866e-09
fuel2 = fuel1.copy()
fuel3 = fuel1.copy()
fuel4 = hydep.BurnableMaterial(
"other fuel",
adens=fuel1.adens,
temperature=fuel1.temperature,
volume=volume,
O16=4.6433e-4,
U234=4.742e-9,
U235=7.403e-4,
U236=1.091e-5,
U238=2.55e-2,
)
water = hydep.Material("water", mdens=0.7, H1=2, O16=1)
clad = hydep.Material("clad", mdens=6.6, Zr96=1)
pin1 = hydep.Pin([PIN_RAD, 0.42], [fuel1, clad], outer=water)
pin2 = hydep.Pin([PIN_RAD, 0.42], [fuel2, clad], outer=water)
pin3 = hydep.Pin([PIN_RAD, 0.42], [fuel3, clad], outer=water)
pin4 = hydep.Pin([PIN_RAD, 0.42], [fuel4, clad], outer=water)
cart = hydep.CartesianLattice(nx=2,
ny=2,
pitch=1.2,
array=[[pin1, pin2], [pin3, pin4]],
outer=water)
assembly = hydep.LatticeStack(2, [0, PIN_HEIGHT, 2 * PIN_HEIGHT],
[cart, cart])
assembly.bounds = ((-PITCH, PITCH), (-PITCH, PITCH), (0, 2 * PIN_HEIGHT))
model = hydep.Model(assembly)
model.bounds = assembly.bounds
model.root.differentiateBurnableMaterials()
problem = Mock()
problem.model = model
problem.dep.burnable = tuple(model.root.findBurnableMaterials())
problem.dep.chain = endfChain
settings = hydep.settings.Settings(fittingOrder=1, numFittingPoints=2)
settings.sfv.densityCutoff = 0.0
settings.sfv.modes = len(problem.dep.burnable) - 2
problem.settings = settings
yield problem
def beavrsGuideTube(beavrsMaterials):
"""Return a guide tube"""
return hydep.Pin([0.50419, 0.5641],
[beavrsMaterials[m] for m in ["water", "zirc4"]],
outer=beavrsMaterials["water"])
