39-EFT.WP.Plasma.Confinement v1.0 | Chapter 16 — Design Protocols & Engineering Checklist (Sign-off)

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Chapter 16 — Design Protocols & Engineering Checklist (Sign-off)

I. Chapter Objectives & Scope

1. Objective: Translate the Plasma Confinement chain—equilibrium → stability → waves/heating → guiding center → transport → edge layer—into an executable design protocol and engineering checklist, with power/topology/stability/deposition/transport/target heat flux and two-dialect T_arr consistency as core gates, ensuring releasable, auditable, falsifiable outcomes under a unified metrology/recording dialect.
2. Scope: Geometry/coils, equilibrium & topology, wave launch & deposition, guiding-center/neoclassical, turbulent transport, Edge/SOL & sheath, synthetic diagnostics & assimilation.
3. Shared arrival-time dialect (equivalent; path/measure explicit; record delta_form):
   • Constant-factored: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
   • General: T_arr = ( ∫ ( n_eff / c_ref ) d ell )

II. Golden Rules.Plasma

• Power closure first: P_in = P_ref + P_rad + P_wall + ∫ P_dep dV must close within u_power (hard gate).
• Topology consistency: q(ψ)/LCFS/X/separatrix consistent with magnetics/imaging; equilibrium (S30-) and binding (I10-) use the same metric and grid.
• Stability gates: δW_min > 0 ∧ Δ' ≤ 0 ∧ {D_S,D_M}>0; if failing, first adjust profiles/boundary terms/external coupling.
• Deposition & arrival: P_dep(r) peak/width consistent with {n_eff,k_∥,k_⊥} predictions; two-dialect T_arr agree within u(T_arr).
• Transport & neoclassical: D,χ regress successfully vs D_GB/scalings; D_nc/χ_nc/J_bs consistent with ν_* , q , ε.
• Edge layer & heat flux: q_t ≤ q_gate; detachment criteria satisfied and maintained within operating windows.
• Unified records: Any change to geometry/coils/profiles/launch parameters must update binding_ref/arrival/qa_gates and dataset cards.

III. Engineering Workflow (six executable stages)

• Requirements & gate definition: set q_gate, R^2_gate/ε_gate, u_power, u(T_arr), stability gates and operating windows; emit requirement card.
• Geometry/coil & equilibrium prototype: I10-binding → S30-GS equilibrium → topology QA; provide ψ/q(ψ)/V'(ψ)/g_ab.
• Waves/heating & deposition: S50-dispersion → ray/full-wave → α_abs/P_dep/T_arr/T_group; power closure and arrival agreement.
• GC/neoclassical & transport: S60- μ/J_∥/D_nc/χ_nc/J_bs consistent with metrics; S70- QL/tabulated closures → Γ/Q/Π_ψ with global energy closure.
• Edge/SOL & target heat flux: S80- 1D along-field → sheath matching → recycling/impurities → q_t and detachment criteria.
• Assimilation & sign-off: M10- operators/covariances → assimilated x_a; after all hard gates pass, issue sign-off card and archive.

IV. KPIs & Acceptance Gates (aligned with Chs. 13/14/15)

• Power closure:
• | P_in − P_ref − P_rad − P_wall − ∫ P_dep dV | ≤ u_power
• Topology: max_ψ |q_inv(ψ) − q_GS(ψ)| ≤ q_gate; LCFS/X/separatrix consistent.
• Stability: δW_min > 0 ∧ Δ' ≤ 0 ∧ {D_S,D_M}>0.
• Deposition: peak error ≤ r_gate, width error ≤ w_gate.
• Transport: R^2(log(D) vs log(D_GB)) ≥ R^2_gate and residual ≤ ε_gate; same for χ.
• Arrival: two-dialect difference ≤ u(T_arr).
• Edge layer: q_t ≤ q_gate; detachment window holds (∂q_t/∂P_in < 0 and T_e(L_∥) ~ 1–5 eV).

V. Records & QA (aligned with data/pipeline cards)

• Required:
  binding_ref/geometry/coils, equilibrium{psi,q(ψ),metrics},
  stability{deltaW_min,DeltaPrime,DS,DM},
  waves{n_eff,rays,alpha_abs,P_dep,arrival(form,gamma,measure,c_ref,Tarr,u_Tarr,delta_form)},
  gc_nc{D_nc,χ_nc,J_bs}, transport{D,χ,Γ,Q,Π_ψ}, edge_sol{q_t,R,Y,L_z},
  diagnostics{H_blocks,windows,AF/PF,Δt_sync}, qa_gates{check_dim,power_closure,topology,stability,Tarr_dual}.
• Phase correction:
• arg Z_corr(ω) = arg Z_raw(ω) − ( ω · Δt_sync )

fit arrival within the coherence window.

• Versions/hashes: record semver and sha256 for key tables/kernels/grids/operators/covariances.

VI. Tolerances & Robustness (DFM/DFA)

• Tolerance injection: propagate σ_C/σ_A/σ_pos/σ_rot, current drift ΔI/I, thermal expansion ΔC_i(s) through I10-/S30- regressions; report sensitivities on LCFS/X/q(ψ) and q_t.
• Robustness: perturb AF/PF/windows/bw/fs/Δt_sync and closure-table interpolation; verify power closure, stability gates, and R^2_gate/ε_gate remain satisfied.
• Acceptance: Monte Carlo pass-rate ≥ 95% (project-specific refinement allowed).

VII. Falsifiability (for the Design Protocol)

• J-DP-1 (Power/Topology/Stability failure): any hard gate fails → no release.
• J-DP-2 (Deposition/arrival mismatch): P_dep peak/width or two-dialect T_arr inconsistent → reject dispersion/ray/sync dialect.
• J-DP-3 (Transport scaling off): D/χ regression R^2 or residuals fail gates → reject closures or input profiles.
• J-DP-4 (Edge heat load): q_t > q_gate or detachment window fails → reject operating window/geometry.
• J-DP-5 (Equivalence & repro): Chapter 15 equivalence thresholds not met → deny sign-off.

VIII. Compliance Templates (copy-ready)

• Design sign-off card (YAML)
• design_protocol_pc:
• project_id: "PC-PRJ-001"
• geometry_ref: "GEOM-COIL-0001"
• binding_ref: "I10-PC-0001"
• baseline_id: "BLSN-PC-001"
• bands:
• waves: {ω1: ..., ω2: ...}
• coh_window: {ω1: ..., ω2: ...}
• equilibrium:
• solver: "GS"
• psi: "/eq/psi.nc"
• q: "/eq/q.nc"
• metrics: "/eq/coords_boozer.nc"
• waves:
• n_eff: "/waves/n_eff.tbl"
• rays: "/waves/rays.json"
• alpha_abs: "/waves/alpha.tbl"
• P_dep_Wm3: "/waves/Pdep.nc"
• arrival:
• form: "n_over_c" # or "one_over_c_times_n"
• gamma: "explicit"
• measure: "d_ell"
• c_ref: 299792458.0
• Tarr_s: 3.1e-06
• u_Tarr_s: 9.0e-08
• delta_form: "n_over_c"
• gc_nc:
• D_nc: "/nc/Dnc.tbl"
• chi_nc: "/nc/Chinc.tbl"
• J_bs: "/nc/Jbs.tbl"
• transport:
• closure: "/closures/ql_mix.tbl"
• fluxes: "/flux/fluxes.nc" # Γ/Q/Π_ψ
• edge_sol:
• profiles_1D: "/edge/profiles.nc"
• q_t_gate_MWm2: 10.0
• recycling_R: 0.95
• Lz_tbl: "/impurity/Lz.tbl"
• diagnostics:
• H_blocks: [ "ECE_transfer", "Reflect_phase", "Mag_inversion", "IR_heatflux" ]
• windows: "/diag/windows.yaml"
• AF: "/cal/AF_antenna.yaml"
• PF: "/cal/PF_probe.yaml"
• dt_sync_s: 1.0e-08
• qa_gates:
• check_dim: "pass"
• power_closure: "pass"
• topology: "pass"
• stability: {deltaW_min:">0", DeltaPrime:"<=0", DS:">0", DM:">0"}
• Tarr_dual: {gate:"≤ u_Tarr"}
• signoff:
• design_owner: "..."
• physics_owner: "..."
• metrology_owner: "..."
• date: "2025-09-16"
• Acceptance script (pseudocode)
• # Power closure
• Pdep = integrate(P_dep_grid)
• assert abs(P_in - P_ref - P_rad - P_wall - Pdep) <= u_power
• # Topology consistency
• assert max_abs(q_inv - q_GS) <= q_gate and topology_match(LCFS, Xpoints)
• # Stability gates
• assert deltaW_min > 0 and DeltaPrime <= 0 and DS_min > 0 and DM_min > 0
• # Deposition & arrival
• assert peak_error(P_dep, P_dep_pred) <= r_gate and width_error(P_dep, P_dep_pred) <= w_gate
• Tarr1 = (1/c_ref) * trapz(n_eff*dl); Tarr2 = trapz((n_eff/c_ref)*dl)
• assert abs(Tarr1 - Tarr2) <= u_Tarr
• # Transport & neoclassical
• assert r2_score(log(D), log(D_GB)) >= R2_gate and resid(log(D)) <= eps_gate
• assert nc_consistency(D_nc, chi_nc, J_bs, nu_star, q, eps)
• # Edge/SOL target heat flux
• assert qt_max <= q_t_gate and detachment_window_ok()
• # Pass
• emit_signoff_card()

IX. Execution Checklist (engineering tick-list)

checklist_pc:

- [ ] Define gates: u_power, q_gate, R2_gate, eps_gate, q_t_gate, u_Tarr

- [ ] Complete I10- binding & S30- GS equilibrium (topology/force-balance QA)

- [ ] Complete S50- dispersion/ray/deposition & arrival agreement

- [ ] Complete S60-/S70- GC/neoclassical & transport closures with global energy closure

- [ ] Complete S80- Edge/SOL with sheath/detachment window evaluation

- [ ] Complete M10- assimilation (hard gates on power/topology/arrival passed)

- [ ] Archive dataset/pipeline/env_lock/audit (sha256)

- [ ] Sign-offs by Design / Physics / Metrology

X. Cross-Chapter Links & Closure

• Dependencies: Chapters 4 (S20- minimal equations), 5 (S30- equilibrium), 6 (S40- stability), 7 (S50- waves/deposition/arrival), 8 (S60- guiding center), 9 (S70- transport), 10 (S80- edge), 11 (I10- binding), 12 (M10- assimilation), 14/15 (SimStack & Repro).
• Closure: This chapter threads power → topology → stability → deposition → transport → edge → assimilation into sign-off clauses and an engineering checklist, enabling reproducible, auditable, and falsifiable plasma-confinement engineering deployment.