{
  "scope": "Illustrative component-sizing calculation derived from the saved conservative sensing model; not a hardware measurement or calibrated device prediction.",
  "source_net_reduction_fraction": "553/2400",
  "source_case": "a1-1-100_b48; 50% reading-energy share and 3% added processing",
  "inputs": {
    "heatReduction": 0.23041666666666666,
    "baselineHeat_W": 10,
    "surfaceRise_K": 20,
    "convection_W_m2K": 10,
    "baselineDeviceMass_g": 1000,
    "baselineDeviceVolume_cm3": 1000,
    "fixedCoolingMass_g": 50,
    "variableCoolingMass_g": 150,
    "fixedCoolingVolume_cm3": 50,
    "variableCoolingVolume_cm3": 150,
    "baselineBatteryMass_g": 250,
    "baselineBatteryVolume_cm3": 300
  },
  "outputs": {
    "heatAfter_W": 7.695833333333333,
    "areaBefore_cm2": 500,
    "areaAfter_cm2": 384.79166666666663,
    "coolerBefore_g": 200,
    "coolerAfter_g": 165.4375,
    "coolerBefore_cm3": 200,
    "coolerAfter_cm3": 165.4375,
    "coolingMassSaved_g": 34.5625,
    "coolingVolumeSaved_cm3": 34.5625,
    "coolingOnlyDeviceMass_g": 965.4375,
    "coolingOnlyDeviceVolume_cm3": 965.4375,
    "combinedDeviceMass_g": 907.8333333333334,
    "combinedDeviceVolume_cm3": 896.3125,
    "coolerMassReductionPercent": 17.28125,
    "coolingOnlyMassReductionPercent": 3.4562500000000003,
    "combinedMassReductionPercent": 9.216666666666661,
    "combinedVolumeReductionPercent": 10.368750000000004
  },
  "formulas": {
    "area_cm2": "Q/(h*deltaT)*10000",
    "cooling_after": "fixed + variable*(1-r)",
    "cooling_only_device_saved": "variable_cooling*r",
    "combined_mass_saved": "(variable_cooling_mass+battery_mass)*r",
    "combined_volume_saved": "(variable_cooling_volume+battery_volume)*r"
  },
  "assumptions": [
    "Same useful work rate and original runtime for battery resizing",
    "Thermal-design heat load falls by the net modeled energy fraction",
    "Steady or sufficiently smoothed heat load; transient peaks require a separate check",
    "Fixed effective convection coefficient and safe surface-to-ambient temperature rise",
    "Variable cooling mass and occupied volume scale with effective area; fixed mounts/base stay unchanged",
    "Same materials, battery energy density, packing and temperature limits",
    "No added hardware parts; processing energy already charged in the net reduction",
    "Distinct battery and cooling portions; overlapping component volumes are not counted twice",
    "Battery mass/volume inputs describe the scalable energy-bearing portion; fixed battery supports and other device parts remain unchanged."
  ],
  "sources": [
    {
      "title": "FI saved reading-model energy cases",
      "url": "/evidence/benefit-calculations.json"
    },
    {
      "title": "NXP/Freescale Thermal Analysis of Semiconductor Systems, equations 6 and 7",
      "url": "https://www.nxp.com/docs/en/white-paper/BasicThermalWP.pdf"
    },
    {
      "title": "NASA SmallSat Thermal Control",
      "url": "https://www.nasa.gov/smallsat-institute/sst-soa/thermal-control/"
    }
  ]
}