MCM/A题/数值分析检验/Prompt/5.md

TASK: Execute BASELINE_CONFIG_v1 through SIM_API_v1 and return deliverables.

INPUT DATA:

• BASELINE_CONFIG_v1 (Prompt 4)
• SIM_API_v1 (Prompt 3)
• TTE_SPEC_v1 (Prompt 2)

METHODOLOGY: For each z0 in {1.00,0.75,0.50,0.25}:

1. Simulate trajectory until termination.
2. Compute TTE via event interpolation.
3. Compute summary metrics:
   • avg(P_tot) over [0,t*]
   • max(I), max(T_b), min(Δ) over [0,t*]
   • energy_check = ∫ P_tot dt (Wh) and compare to nominal energy 14.8 Wh baseline

DELIVERABLES (must be returned in this order): A) “TTE_TABLE_v1” as CSV text with rows for each z0: z0, TTE_hours, termination_reason, t_star_sec, avg_P_W, max_I_A, max_Tb_C B) “FIGURE_SPEC_v1” as JSON listing exactly 4 plots to generate:

1. SOC z(t)
2. Current I(t) and power P_tot(t) (dual axis)
3. Battery temperature T_b(t)
4. Discriminant Δ(t) Each plot must specify: title, x_label, y_label(s), filename (png), and which trajectory columns to use. C) “VALIDATION_REPORT_v1” as JSON with:

• monotonicity_pass (true/false)
• any_negative_delta_before_event (true/false)
• energy_check_values (per z0)

VALIDATION CRITERIA (hard):

• SOC must be non-increasing for all runs.
• V_term must never be NaN/inf.
• Energy check must be within [5 Wh, 20 Wh] for z0=1.00 (otherwise FAIL). If any check fails: output only FAIL + the validation JSON.

OUTPUT FORMAT: A) CSV block B) JSON block C) JSON block No prose.