From aa87ddb379ae41f7ef4aaa7111c60894d6051dbc Mon Sep 17 00:00:00 2001 From: Davide Grilli Date: Thu, 14 May 2026 09:46:27 +0200 Subject: [PATCH] =?UTF-8?q?aggiunge=20analisi=20induttore2=20(t=3D112.02?= =?UTF-8?q?=E2=80=93113.95=20s)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Co-Authored-By: Claude Sonnet 4.6 --- induttore2/app2.py | 83 ++++++++++++++++++++++++++++++++++++++ induttore2/induttore2.png | Bin 0 -> 57195 bytes induttore2/report2.md | 23 +++++++++++ 3 files changed, 106 insertions(+) create mode 100644 induttore2/app2.py create mode 100644 induttore2/induttore2.png create mode 100644 induttore2/report2.md diff --git a/induttore2/app2.py b/induttore2/app2.py new file mode 100644 index 0000000..3768ee4 --- /dev/null +++ b/induttore2/app2.py @@ -0,0 +1,83 @@ +import pandas as pd +import numpy as np +import matplotlib.pyplot as plt +from scipy.optimize import curve_fit +from pathlib import Path + +# --- Dati --- +ROOT = Path(__file__).parent.parent +df = pd.read_csv(ROOT / "data.csv") +df["time_s"] = df["time since start [ms]"] / 1000.0 + +T_INF = 22.99 # temperatura ambiente [°C] +T0 = 112.02 # inizio intervallo [s] +T_END = 113.95 # fine intervallo [s] + +mask = (df["time_s"] >= T0) & (df["time_s"] <= T_END) +t_fit = df.loc[mask, "time_s"].values +T_fit = df.loc[mask, "temp_obj IR [C]"].values + +# --- Modello: esponenziale di Newton --- +def modello(t, A, tau): + return T_INF + A * np.exp(-(t - T0) / tau) + +A0 = T_fit[0] - T_INF +tau0 = 5.0 + +popt, pcov = curve_fit( + modello, t_fit, T_fit, + p0=[A0, tau0], + method="trf", + bounds=([-np.inf, 0.01], [np.inf, np.inf]) +) +A_fit, tau_fit = popt +perr = np.sqrt(np.diag(pcov)) + +# --- R² --- +T_pred = modello(t_fit, *popt) +ss_res = np.sum((T_fit - T_pred) ** 2) +ss_tot = np.sum((T_fit - T_fit.mean()) ** 2) +r2 = 1 - ss_res / ss_tot + +print(f"A = {A_fit:.4f} +/- {perr[0]:.4f} °C") +print(f"tau = {tau_fit:.4f} +/- {perr[1]:.4f} s") +print(f"R² = {r2:.6f}") +print(f"\nEquazione: T(t) = {T_INF} + {A_fit:.4f} * exp(-(t - {T0}) / {tau_fit:.4f})") + +# --- Curva continua per il plot --- +t_curve = np.linspace(T0, T_END, 500) +T_curve = modello(t_curve, *popt) + +# --- Plot --- +fig, ax = plt.subplots(figsize=(8, 5)) +ax.scatter(t_fit, T_fit, + color="steelblue", s=20, zorder=3, label="Dati raw (temp_obj)") +ax.plot(t_curve, T_curve, + color="tomato", linewidth=2, + label=f"Fit: {T_INF} + {A_fit:.2f}·exp(-(t-{T0})/{tau_fit:.3f})") +ax.set_xlabel("Tempo [s]") +ax.set_ylabel("Temperatura [°C]") +ax.set_title(f"Fit esponenziale [{T0}–{T_END} s] | R² = {r2:.4f}") +ax.legend() +ax.grid(True, alpha=0.3) +plt.tight_layout() +plt.savefig(Path(__file__).parent / "induttore2.png", dpi=150, bbox_inches="tight") +plt.show() + +# --- Report --- +report = Path(__file__).parent / "report2.md" +with open(report, "w", encoding="utf-8") as f: + f.write("# Report Induttore 2\n\n") + f.write("## Intervallo di campionamento\n\n") + f.write(f"| Parametro | Valore |\n|---|---|\n") + f.write(f"| Inizio | {T0} s |\n") + f.write(f"| Fine | {T_END} s |\n") + f.write(f"| Numero di punti | {len(t_fit)} |\n\n") + f.write("## Equazione trovata\n\n") + f.write(f"$$T(t) = {T_INF} + {A_fit:.4f} \\cdot e^{{-(t - {T0}) / {tau_fit:.4f}}}$$\n\n") + f.write("| Parametro | Valore | Incertezza (1σ) |\n|---|---|---|\n") + f.write(f"| A | {A_fit:.4f} °C | +/- {perr[0]:.4f} °C |\n") + f.write(f"| τ | {tau_fit:.4f} s | +/- {perr[1]:.4f} s |\n\n") + f.write("## Qualità del fit\n\n") + f.write(f"| R² | {r2:.6f} |\n|---|---|\n") +print("report2.md generato.") diff --git a/induttore2/induttore2.png b/induttore2/induttore2.png new file mode 100644 index 0000000000000000000000000000000000000000..195838a4458738665bf29279120ba4e6fcd530ce GIT binary patch literal 57195 zcmce;S5%X0^zIu_L_tJFVF3bmM4AE;>9ABRG!+Fxq(}=b0fB@Px?&fkizJ}ZM0$YG znai0@8(0_M7z|`|N#lF3!!#7>;CQg|E(UzH|PbXRa5wO|J_HNC-e6 z5TTnluHJ<}cHw$zUt{yl=pKArP^{+IKs^47NdSL0=t|1%fW6@pZtG6b? 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