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Calcimator

Nuclear Fuel Burnup Calculator

Calculate energy extracted from nuclear fuel assemblies by burnup level in MWd/MTU.

About this calculator

Burnup measures how much energy a reactor extracts from its fuel before that fuel is discharged, expressed in megawatt-days per metric ton of uranium (MWd/MTU). This calculator starts from your target burnup and assembly mass (converted to metric tons of uranium) to get energy per assembly, then multiplies by the number of assemblies for total core energy. Dividing that total by the reactor's thermal power gives an estimated cycle length in days — the interval between refuelings. From there it layers on several simplified physics estimates: U-235 consumption assumes roughly 1 gram of U-235 fissions per MWd of energy released, letting the calculator back into a residual enrichment figure by subtracting consumed U-235 as a percentage of the original loading. Plutonium buildup uses a rough industry rule of thumb of about 10 kg of Pu produced per GWd of total core thermal energy for a typical light-water reactor — this figure is applied directly to the thermal energy total computed above, before the electrical conversion step, so it is not scaled by plant efficiency.

Electricity generated assumes a flat 33% thermal-to-electric efficiency, a reasonable but not plant-specific figure, and initial decay heat at shutdown is approximated as 6% of thermal power, a standard first-order estimate for freshly discharged fuel. Homes powered per year uses a fixed 10.5 MWh average annual US household consumption. None of this replaces core-physics modeling: real burnup, enrichment depletion, and plutonium buildup depend on burnable poisons, moderator temperature, spectral history, and fuel management strategy that this calculator doesn't model. Treat the outputs as order-of-magnitude planning estimates for a generic PWR, not as licensing-basis or safety-analysis numbers.

Inputs

MWd/MTU
%
lb
MWt

Results

Total Core Energy

95,882 GWh(t)

Estimated Cycle Length

1,175 days

Energy per Assembly20,700 MWd
Energy per Assembly496.8 GWh
Electricity Generated31,641 GWh(e)
U-235 Consumed per Assembly20,700 g
Residual Enrichment (est.)0%
Initial Decay Heat at Shutdown204 MW
Pu Buildup39,951
Relative Activity1
Homes Per Year3,013,446.86
How to Use This Calculator
  1. Enter Target Burnup, Initial Enrichment, and Assembly Mass (UO₂).
  2. Set Reactor Thermal Power and Number of Assemblies.
  3. Review Total Core Energy (GWh(t)) and Estimated Cycle Length (days).
  4. Use Energy per Assembly (MWd) and Energy per Assembly (GWh) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Target Burnup

Target BurnupTotal Core EnergyEstimated Cycle Length
22,50047,941 GWh(t)588 days
33,75071,912 GWh(t)881 days
67,500143,824 GWh(t)1,763 days
100,000213,072 GWh(t)2,611 days

What each input means

Target Burnup
Discharge burnup target in megawatt-days per metric ton of uranium. Typical PWR: 40,000–60,000.
Initial Enrichment
Initial U-235 enrichment in weight percent. Typical PWR: 3.5–5.0%.
Assembly Mass (UO₂)
Mass of uranium (as UO₂) per fuel assembly in kg. PWR: ~460 kg, BWR: ~175 kg.
Reactor Thermal Power
Total reactor thermal power in MW. Typical 1 GWe PWR: ~3400 MWt.
Number of Assemblies
Number of fuel assemblies in the core. Typical PWR: 157–241, BWR: 500–800.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Target Burnup = 45000, Initial Enrichment = 4.5, Assembly Mass (UO₂) = 460, Reactor Thermal Power = 3400 = 5 input(s) provided
  2. Calculate Total Core Energy
    Total Core Energy
    95882 = 95882
  3. Calculate Estimated Cycle Length
    Estimated Cycle Length = cl
    1175 = 1175
  4. Calculate Energy per Assembly
    Energy per Assembly
    20700 = 20700
  5. Calculate Energy per Assembly
    Energy per Assembly
    496.8 = 496.8

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the calculator convert assembly mass in kg to metric tons of uranium (MTU) before computing burnup?

Burnup is defined in MWd per metric ton of uranium, so the calculator divides your entered assembly mass (in kg) by 1,000 to get MTU before multiplying by your target burnup — this gives energy per assembly in MWd. Skipping that unit conversion would produce an energy figure a thousand times too large, since the burnup value you enter is already expressed per metric ton, not per kilogram.

Why does higher burnup translate into lower residual enrichment in this model?

The calculator assumes roughly 1 gram of U-235 fissions per MWd of energy extracted, so a higher target burnup means more total U-235 consumed from the initial loading. It expresses that consumption as a percentage of the original enrichment and subtracts it, so residual enrichment falls as burnup rises — this is a simplified linear depletion model, not a true isotopic depletion calculation that would also track buildup of fissile plutonium replacing some of the lost U-235 reactivity.

What does a longer estimated cycle length actually tell me about the reactor?

Cycle length here is simply total core energy (MWd) divided by thermal power (MWt), so it represents how many days the core could run at full power before all the entered target burnup is used up — a proxy for the interval between refueling outages. A longer cycle length means either a higher target burnup, a larger core mass, or lower thermal power relative to the fuel loaded.

Is the plutonium buildup estimate affected by the assumed 33% thermal efficiency?

No — plutonium buildup is calculated directly from total core thermal energy (GWd of heat), before the calculator ever applies the 33% thermal-to-electric conversion. So changing how much electricity the plant is assumed to generate has no effect on the reported Pu buildup figure; only total core energy and the flat 10 kg-per-GWd rule of thumb drive that number.

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