function p = pke_params() % PKE_PARAMS Returns the parameter struct for the coupled PKE + T/H model. % % All plant parameters, kinetic data, and steady-state conditions live here. % Modify this file to change the reactor you're modeling. p = struct(); % --- Neutronics --- % Prompt neutron generation time for a typical PWR with enriched UO2 fuel % and a water-moderated thermal spectrum. Literature range: 1e-5 to 5e-4 s; % 1e-4 is a standard mid-range value (Duderstadt & Hamilton, Ch. 6). p.Lambda = 1e-4; % prompt neutron generation time [s] % 6-group delayed neutron data for U-235 thermal fission (Keepin et al., % Phys. Rev. 107, 1957). These are the canonical values used in virtually % all PKE models. Total beta_eff ~ 650 pcm. p.beta_i = [0.000215; 0.001424; 0.001274; 0.002568; 0.000748; 0.000273]; p.lambda_i = [0.0124; 0.0305; 0.111; 0.301; 1.14; 3.01]; p.beta = sum(p.beta_i); % --- Thermal-hydraulic --- % 1000 MWth is a round number representative of a 2-loop PWR (e.g., % Westinghouse 2-loop class). Actual plants range ~1800-3400 MWth for % 2-loop to 4-loop designs. p.P0 = 1000e6; % nominal thermal power [W] % Fuel mass: representative of total UO2 inventory in the core. % A typical 4-loop PWR has ~100,000 kg UO2; scaled down for 1000 MWth. p.M_f = 50000; % fuel mass [kg] % UO2 specific heat at operating temperatures (~400-800 C). Published % values range 250-350 J/kg-K (MATPRO / Fink correlation); 300 is a % standard lumped value for transient analysis. p.c_f = 300; % fuel specific heat [J/kg-K] % Coolant mass in the core region. Based on core volume fraction of % water in a PWR (~40% moderator-to-fuel ratio) and active core volume. p.M_c = 20000; % coolant mass in core [kg] % Pressurized water specific heat at ~15.5 MPa, ~300 C. NIST/IAPWS % gives cp ~ 5.4-5.5 kJ/kg-K in this range. p.c_c = 5450; % coolant specific heat [J/kg-K] % Lumped fuel-to-coolant heat transfer coefficient x area. Chosen so that % the steady-state fuel-to-coolant dT = P0/hA = 20 C, which is in the % right ballpark for the average pellet-to-bulk-coolant temperature drop % in a lumped single-node fuel model. p.hA = 5e7; % fuel-to-coolant heat transfer coeff * area [W/K] % Primary coolant mass flow rate. Typical PWR: ~4000-6000 kg/s per loop. % 5000 kg/s gives core dT = P0/(W*c_c) ~ 36.7 C, consistent with a % ~35-38 C core rise in operating PWRs. p.W = 5000; % coolant mass flow rate [kg/s] % Coolant mass in SG + hot/cold leg piping. Represents the ex-core primary % inventory that participates in the loop transport delay. Larger than M_c % because the SG tubes and piping hold significant volume. p.M_sg = 30000; % coolant mass in SG + hot/cold leg piping [kg] % --- Reactivity feedback coefficients --- % Doppler coefficient: fuel temperature feedback, predominantly from % U-238 resonance broadening. Typical BOL range: -2 to -3 pcm/K % (Todreas & Kazimi). -2.5 pcm/K is a standard mid-cycle value. p.alpha_f = -2.5e-5; % fuel (Doppler) [dk/k per K] % Moderator temperature coefficient: captures water density change with % temperature and its effect on neutron moderation/absorption. Typical % range: -5 to -50 pcm/K depending on boron concentration and burnup. % -10 pcm/K is moderate (mid-cycle, moderate boron). p.alpha_c = -1.0e-4; % coolant (moderator) [dk/k per K] % --- Steady-state (derived from energy balance at P0, n=1) --- % Q_sg = P0, all dT/dt = 0 % T_hot - T_cold = P0 / (W*c_c) % T_c = (T_hot + T_cold) / 2 % T_f = T_c + P0 / hA % Cold leg temperature of 290 C (554 F) is typical for a PWR at full % power (Westinghouse plants: ~288-293 C depending on design). p.T_cold0 = 290; % inlet coolant [C] p.dT_core = p.P0 / (p.W * p.c_c); % core delta-T [C] p.T_hot0 = p.T_cold0 + p.dT_core; p.T_c0 = (p.T_hot0 + p.T_cold0) / 2; % avg coolant [C] p.T_f0 = p.T_c0 + p.P0 / p.hA; % fuel [C] end