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MCM/A题/数值分析检验/Prompt/5.md
2026-02-16 21:52:26 +08:00

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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.