{
  "schema_version": "1.2",
  "physics_assumptions": {
    "schema_version": "1.0",
    "classification": "UNVALIDATED_ANALYTICAL_MODEL",
    "notice": "All simulation values derived from these assumptions are analytical hypotheses, not physical dynamometer or wind-tunnel measurements.",
    "parameters": {
      "aerodynamics": {
        "tsr_cut_in": {
          "value": 0.5,
          "units": "dimensionless",
          "source": "Estimated from static starting torque transition",
          "uncertainty": "\u00b1 20%",
          "validation_status": "uncalibrated_analytical_estimate"
        },
        "tsr_optimal": {
          "value": 2.1,
          "units": "dimensionless",
          "source": "MDPI Energies 2014, 7(12):7893 (1.5m prototype scaled to commercial 0.75m)",
          "uncertainty": "\u00b1 10%",
          "validation_status": "literature_anchor_point_pending_cfd"
        },
        "tsr_runaway": {
          "value": 3.7,
          "units": "dimensionless",
          "source": "Zero-torque freewheeling cutoff extrapolation",
          "uncertainty": "\u00b1 15%",
          "validation_status": "uncalibrated_analytical_estimate"
        },
        "cp_max_exposed": {
          "value": 0.265,
          "units": "dimensionless",
          "source": "MDPI Energies 2014, 7(12):7893 reported peak Cp for isolated rotor",
          "uncertainty": "\u00b1 15%",
          "validation_status": "literature_anchor_point_pending_cfd"
        },
        "shroud_power_factor": {
          "value": 1.32,
          "units": "multiplier",
          "source": "MDPI Energies 2023, 16(17):6204 Table 3 ducted shroud enhancement ratio",
          "uncertainty": "\u00b1 15%",
          "validation_status": "empirical_ratio_pending_cfd"
        },
        "cq_static": {
          "value": 0.14,
          "units": "dimensionless",
          "source": "Static starting torque coefficient estimate for Archimedes spiral blades",
          "uncertainty": "\u00b1 25%",
          "validation_status": "uncalibrated_analytical_estimate"
        }
      },
      "drivetrain_and_generator": {
        "static_friction_torque_nm": {
          "value": 0.04,
          "units": "N*m",
          "source": "Assumed mechanical bearing and seal stiction threshold",
          "uncertainty": "\u00b1 50%",
          "validation_status": "uncalibrated_engineering_assumption"
        },
        "viscous_damping_nm_s": {
          "value": 0.002,
          "units": "N*m*s/rad",
          "source": "Assumed mechanical viscous friction in bearing assembly",
          "uncertainty": "\u00b1 50%",
          "validation_status": "uncalibrated_engineering_assumption"
        },
        "rated_electrical_efficiency": {
          "value": 0.88,
          "units": "dimensionless_fraction",
          "source": "Typical permanent-magnet synchronous generator (PMSG) peak efficiency",
          "uncertainty": "\u00b1 5%",
          "validation_status": "catalog_typical_value"
        },
        "rated_power_w": {
          "value": 150.0,
          "units": "W",
          "source": "Commercial Liam F1 nameplate rating convention",
          "uncertainty": "N/A (nominal rating)",
          "validation_status": "specification"
        },
        "rated_rpm": {
          "value": 400.0,
          "units": "RPM",
          "source": "Commercial Liam F1 nameplate rating convention",
          "uncertainty": "N/A (nominal rating)",
          "validation_status": "specification"
        }
      },
      "structural_mass": {
        "rotor_material_density_kg_m3": {
          "value": 1200.0,
          "units": "kg/m^3",
          "source": "Assumed injection-molded polycarbonate / composite structural resin",
          "uncertainty": "\u00b1 10%",
          "validation_status": "unverified_material_assumption"
        }
      }
    }
  },
  "physics_contract": {
    "schema_version": "1.0",
    "wind_speed_mps": 5.0,
    "rpm": 253.0925,
    "power_watts": 3.6257,
    "tsr": 1.9189,
    "direction": [
      1.0,
      0.0,
      0.0
    ]
  },
  "operating_point": {
    "wind_speed_mps": 5.0,
    "rpm": 253.0925,
    "omega_rad_per_s": 26.50378,
    "tsr": 1.918874,
    "cp": 0.34508,
    "cq": 0.179835,
    "aerodynamic_power_w": 10.876851,
    "aerodynamic_torque_nm": 0.410389,
    "generator_torque_nm": 0.317381,
    "thrust_n": 3.010472,
    "electrical_power_w": 3.625655,
    "electrical_efficiency": 0.43102,
    "status": "operating_equilibrium"
  },
  "rotor_mass_properties": {
    "volume_m3": 0.00420427,
    "mass_kg": 5.045119,
    "density_kg_m3": 1200.0,
    "center_of_mass_m": [
      -0.02649827,
      0.0,
      0.0
    ],
    "polar_inertia_ixx_kg_m2": 0.15613258,
    "rotor_diameter_m": 0.75,
    "rotor_length_m": 0.6
  },
  "power_curve": [
    {
      "wind_speed_mps": 1.0,
      "rpm": 0.0,
      "omega_rad_per_s": 0.0,
      "tsr": 0.0,
      "cp": 0.0,
      "cq": 0.0,
      "aerodynamic_power_w": 0.0,
      "aerodynamic_torque_nm": 0.0,
      "generator_torque_nm": 0.0,
      "thrust_n": 0.0756,
      "electrical_power_w": 0.0,
      "efficiency": 0.0,
      "status": "below_cut_in"
    },
    {
      "wind_speed_mps": 1.5,
      "rpm": 0.0,
      "omega_rad_per_s": 0.0,
      "tsr": 0.0,
      "cp": 0.0,
      "cq": 0.0,
      "aerodynamic_power_w": 0.0,
      "aerodynamic_torque_nm": 0.0,
      "generator_torque_nm": 0.0,
      "thrust_n": 0.1702,
      "electrical_power_w": 0.0,
      "efficiency": 0.0,
      "status": "below_cut_in"
    },
    {
      "wind_speed_mps": 2.0,
      "rpm": 67.1183,
      "omega_rad_per_s": 7.028609,
      "tsr": 1.272178,
      "cp": 0.266117,
      "cq": 0.209182,
      "aerodynamic_power_w": 0.536829,
      "aerodynamic_torque_nm": 0.076378,
      "generator_torque_nm": 0.022321,
      "thrust_n": 0.430729,
      "electrical_power_w": 0.001722,
      "electrical_efficiency": 0.010975,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 2.5,
      "rpm": 102.8055,
      "omega_rad_per_s": 10.765771,
      "tsr": 1.558884,
      "cp": 0.311221,
      "cq": 0.199643,
      "aerodynamic_power_w": 1.2262,
      "aerodynamic_torque_nm": 0.113898,
      "generator_torque_nm": 0.052367,
      "thrust_n": 0.71015,
      "electrical_power_w": 0.021878,
      "electrical_efficiency": 0.038808,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 3.0,
      "rpm": 134.8369,
      "omega_rad_per_s": 14.120088,
      "tsr": 1.703824,
      "cp": 0.328355,
      "cq": 0.192716,
      "aerodynamic_power_w": 2.235528,
      "aerodynamic_torque_nm": 0.158323,
      "generator_torque_nm": 0.090082,
      "thrust_n": 1.04804,
      "electrical_power_w": 0.108298,
      "electrical_efficiency": 0.085141,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 3.5,
      "rpm": 165.3435,
      "omega_rad_per_s": 17.31473,
      "tsr": 1.790838,
      "cp": 0.336461,
      "cq": 0.187879,
      "aerodynamic_power_w": 3.637572,
      "aerodynamic_torque_nm": 0.210085,
      "generator_torque_nm": 0.135456,
      "thrust_n": 1.446567,
      "electrical_power_w": 0.353095,
      "electrical_efficiency": 0.150549,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 4.0,
      "rpm": 195.0336,
      "omega_rad_per_s": 20.423874,
      "tsr": 1.848361,
      "cp": 0.34084,
      "cq": 0.184401,
      "aerodynamic_power_w": 5.500522,
      "aerodynamic_torque_nm": 0.269318,
      "generator_torque_nm": 0.18847,
      "thrust_n": 1.906341,
      "electrical_power_w": 0.897797,
      "electrical_efficiency": 0.233237,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 4.5,
      "rpm": 224.2271,
      "omega_rad_per_s": 23.481009,
      "tsr": 1.888917,
      "cp": 0.343435,
      "cq": 0.181816,
      "aerodynamic_power_w": 7.891415,
      "aerodynamic_torque_nm": 0.336076,
      "generator_torque_nm": 0.249114,
      "thrust_n": 2.427605,
      "electrical_power_w": 1.92373,
      "electrical_efficiency": 0.328873,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 5.0,
      "rpm": 253.0925,
      "omega_rad_per_s": 26.50378,
      "tsr": 1.918874,
      "cp": 0.34508,
      "cq": 0.179835,
      "aerodynamic_power_w": 10.876851,
      "aerodynamic_torque_nm": 0.410389,
      "generator_torque_nm": 0.317381,
      "thrust_n": 3.010472,
      "electrical_power_w": 3.625655,
      "electrical_efficiency": 0.43102,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 5.5,
      "rpm": 281.7289,
      "omega_rad_per_s": 29.502579,
      "tsr": 1.941806,
      "cp": 0.34618,
      "cq": 0.178278,
      "aerodynamic_power_w": 14.523244,
      "aerodynamic_torque_nm": 0.49227,
      "generator_torque_nm": 0.393265,
      "thrust_n": 3.655006,
      "electrical_power_w": 6.174329,
      "electrical_efficiency": 0.532163,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 6.0,
      "rpm": 310.1986,
      "omega_rad_per_s": 32.483925,
      "tsr": 1.959863,
      "cp": 0.346948,
      "cq": 0.177026,
      "aerodynamic_power_w": 18.89691,
      "aerodynamic_torque_nm": 0.581731,
      "generator_torque_nm": 0.476763,
      "thrust_n": 4.361242,
      "electrical_power_w": 9.680689,
      "electrical_efficiency": 0.62508,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 6.5,
      "rpm": 338.5434,
      "omega_rad_per_s": 35.452179,
      "tsr": 1.974414,
      "cp": 0.347501,
      "cq": 0.176002,
      "aerodynamic_power_w": 24.064112,
      "aerodynamic_torque_nm": 0.678777,
      "generator_torque_nm": 0.567873,
      "thrust_n": 5.129203,
      "electrical_power_w": 14.177237,
      "electrical_efficiency": 0.704202,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 7.0,
      "rpm": 366.7909,
      "omega_rad_per_s": 38.410255,
      "tsr": 1.986359,
      "cp": 0.347913,
      "cq": 0.175151,
      "aerodynamic_power_w": 30.091066,
      "aerodynamic_torque_nm": 0.783412,
      "generator_torque_nm": 0.666592,
      "thrust_n": 5.958901,
      "electrical_power_w": 19.626003,
      "electrical_efficiency": 0.766522,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 7.5,
      "rpm": 394.9624,
      "omega_rad_per_s": 41.360363,
      "tsr": 1.996327,
      "cp": 0.348226,
      "cq": 0.174433,
      "aerodynamic_power_w": 37.043987,
      "aerodynamic_torque_nm": 0.89564,
      "generator_torque_nm": 0.772919,
      "thrust_n": 6.850349,
      "electrical_power_w": 25.95176,
      "electrical_efficiency": 0.811799,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 8.0,
      "rpm": 423.0726,
      "omega_rad_per_s": 44.304055,
      "tsr": 2.004758,
      "cp": 0.348469,
      "cq": 0.173821,
      "aerodynamic_power_w": 44.989064,
      "aerodynamic_torque_nm": 1.015462,
      "generator_torque_nm": 0.886855,
      "thrust_n": 7.803554,
      "electrical_power_w": 33.084675,
      "electrical_efficiency": 0.842037,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 8.5,
      "rpm": 451.1321,
      "omega_rad_per_s": 47.242446,
      "tsr": 2.011972,
      "cp": 0.348661,
      "cq": 0.173293,
      "aerodynamic_power_w": 53.992467,
      "aerodynamic_torque_nm": 1.14288,
      "generator_torque_nm": 1.008394,
      "thrust_n": 8.818515,
      "electrical_power_w": 40.99485,
      "electrical_efficiency": 0.860531,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 9.0,
      "rpm": 479.151,
      "omega_rad_per_s": 50.176572,
      "tsr": 2.018213,
      "cp": 0.348815,
      "cq": 0.172834,
      "aerodynamic_power_w": 64.120393,
      "aerodynamic_torque_nm": 1.277895,
      "generator_torque_nm": 1.137542,
      "thrust_n": 9.895245,
      "electrical_power_w": 49.706374,
      "electrical_efficiency": 0.870851,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 9.5,
      "rpm": 507.1349,
      "omega_rad_per_s": 53.107047,
      "tsr": 2.023658,
      "cp": 0.348941,
      "cq": 0.172431,
      "aerodynamic_power_w": 75.438998,
      "aerodynamic_torque_nm": 1.420508,
      "generator_torque_nm": 1.274294,
      "thrust_n": 11.03374,
      "electrical_power_w": 59.28787,
      "electrical_efficiency": 0.87608,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 10.0,
      "rpm": 535.0896,
      "omega_rad_per_s": 56.034454,
      "tsr": 2.028447,
      "cp": 0.349045,
      "cq": 0.172075,
      "aerodynamic_power_w": 88.014451,
      "aerodynamic_torque_nm": 1.57072,
      "generator_torque_nm": 1.418652,
      "thrust_n": 12.234004,
      "electrical_power_w": 69.833121,
      "electrical_efficiency": 0.878477,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 10.5,
      "rpm": 563.0194,
      "omega_rad_per_s": 58.959252,
      "tsr": 2.03269,
      "cp": 0.349131,
      "cq": 0.171758,
      "aerodynamic_power_w": 101.912918,
      "aerodynamic_torque_nm": 1.728531,
      "generator_torque_nm": 1.570614,
      "thrust_n": 13.49604,
      "electrical_power_w": 81.440537,
      "electrical_efficiency": 0.879466,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 11.0,
      "rpm": 590.9275,
      "omega_rad_per_s": 61.881785,
      "tsr": 2.036473,
      "cp": 0.349203,
      "cq": 0.171475,
      "aerodynamic_power_w": 117.200558,
      "aerodynamic_torque_nm": 1.893943,
      "generator_torque_nm": 1.730179,
      "thrust_n": 14.819846,
      "electrical_power_w": 94.200636,
      "electrical_efficiency": 0.879832,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 11.5,
      "rpm": 618.8171,
      "omega_rad_per_s": 64.802379,
      "tsr": 2.039866,
      "cp": 0.349265,
      "cq": 0.17122,
      "aerodynamic_power_w": 133.943536,
      "aerodynamic_torque_nm": 2.066954,
      "generator_torque_nm": 1.89735,
      "thrust_n": 16.205426,
      "electrical_power_w": 108.192649,
      "electrical_efficiency": 0.879953,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 12.0,
      "rpm": 646.6905,
      "omega_rad_per_s": 67.721268,
      "tsr": 2.042925,
      "cp": 0.349318,
      "cq": 0.170989,
      "aerodynamic_power_w": 152.208008,
      "aerodynamic_torque_nm": 2.247566,
      "generator_torque_nm": 2.072123,
      "thrust_n": 17.652779,
      "electrical_power_w": 123.48596,
      "electrical_efficiency": 0.879988,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 12.5,
      "rpm": 674.5496,
      "omega_rad_per_s": 70.638669,
      "tsr": 2.045696,
      "cp": 0.349363,
      "cq": 0.17078,
      "aerodynamic_power_w": 172.060135,
      "aerodynamic_torque_nm": 2.435778,
      "generator_torque_nm": 2.254501,
      "thrust_n": 19.161907,
      "electrical_power_w": 140.143954,
      "electrical_efficiency": 0.879997,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 13.0,
      "rpm": 702.3961,
      "omega_rad_per_s": 73.554747,
      "tsr": 2.048217,
      "cp": 0.349403,
      "cq": 0.170589,
      "aerodynamic_power_w": 193.566073,
      "aerodynamic_torque_nm": 2.631592,
      "generator_torque_nm": 2.444482,
      "thrust_n": 20.73281,
      "electrical_power_w": 158.226779,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 13.5,
      "rpm": 730.2315,
      "omega_rad_per_s": 76.469666,
      "tsr": 2.05052,
      "cp": 0.349437,
      "cq": 0.170414,
      "aerodynamic_power_w": 216.791983,
      "aerodynamic_torque_nm": 2.835006,
      "generator_torque_nm": 2.642067,
      "thrust_n": 22.365489,
      "electrical_power_w": 177.793413,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 14.0,
      "rpm": 758.057,
      "omega_rad_per_s": 79.383542,
      "tsr": 2.052632,
      "cp": 0.349467,
      "cq": 0.170253,
      "aerodynamic_power_w": 241.804017,
      "aerodynamic_torque_nm": 3.046022,
      "generator_torque_nm": 2.847255,
      "thrust_n": 24.059944,
      "electrical_power_w": 198.902178,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 14.5,
      "rpm": 785.8735,
      "omega_rad_per_s": 82.296483,
      "tsr": 2.054574,
      "cp": 0.349494,
      "cq": 0.170105,
      "aerodynamic_power_w": 268.668333,
      "aerodynamic_torque_nm": 3.264639,
      "generator_torque_nm": 3.060046,
      "thrust_n": 25.816175,
      "electrical_power_w": 221.611322,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 15.0,
      "rpm": 813.6821,
      "omega_rad_per_s": 85.208589,
      "tsr": 2.056367,
      "cp": 0.349517,
      "cq": 0.169968,
      "aerodynamic_power_w": 297.451087,
      "aerodynamic_torque_nm": 3.490858,
      "generator_torque_nm": 3.280441,
      "thrust_n": 27.634182,
      "electrical_power_w": 245.979115,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 15.5,
      "rpm": 841.4834,
      "omega_rad_per_s": 88.11994,
      "tsr": 2.058027,
      "cp": 0.349538,
      "cq": 0.169841,
      "aerodynamic_power_w": 328.218435,
      "aerodynamic_torque_nm": 3.724678,
      "generator_torque_nm": 3.508438,
      "thrust_n": 29.513967,
      "electrical_power_w": 272.063759,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 16.0,
      "rpm": 869.2783,
      "omega_rad_per_s": 91.030612,
      "tsr": 2.059568,
      "cp": 0.349557,
      "cq": 0.169724,
      "aerodynamic_power_w": 361.036532,
      "aerodynamic_torque_nm": 3.9661,
      "generator_torque_nm": 3.744039,
      "thrust_n": 31.455528,
      "electrical_power_w": 299.92351,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 16.5,
      "rpm": 897.0673,
      "omega_rad_per_s": 93.940663,
      "tsr": 2.061001,
      "cp": 0.349574,
      "cq": 0.169614,
      "aerodynamic_power_w": 395.971534,
      "aerodynamic_torque_nm": 4.215124,
      "generator_torque_nm": 3.987243,
      "thrust_n": 33.458867,
      "electrical_power_w": 329.616525,
      "electrical_efficiency": 0.88,
      "status": "operating_equilibrium"
    },
    {
      "wind_speed_mps": 17.0,
      "rpm": 924.8508,
      "omega_rad_per_s": 96.850145,
      "tsr": 2.062338,
      "cp": 0.349589,
      "cq": 0.169511,
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