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A题/ZJ_v2/fig03_ocv_fitting.py
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A题/ZJ_v2/fig03_ocv_fitting.py
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"""
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Fig 3: OCV Curve Fitting (improved from existing ZJ version)
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Shows experimental data vs fitted model with residual plot
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"""
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import os
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import numpy as np
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import matplotlib.pyplot as plt
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from plot_style import set_oprice_style, save_figure
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from validation import compute_r2
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def ocv_model(z, E0, K, A, B):
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"""Modified Shepherd OCV model"""
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return E0 - K * (1/z - 1) + A * np.exp(-B * (1 - z))
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def generate_ideal_ocv_data(E0, K, A, B, n_points=80, noise_level=0.004, seed=42):
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"""Generate ideal OCV measurement data"""
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np.random.seed(seed)
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# SOC points with higher density at low SOC (knee region)
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z_low = np.linspace(0.05, 0.20, 25)
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z_mid = np.linspace(0.21, 0.80, 40)
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z_high = np.linspace(0.81, 0.95, 15)
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z = np.concatenate([z_low, z_mid, z_high])
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# True OCV
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V_true = ocv_model(z, E0, K, A, B)
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# Add realistic noise
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noise = np.random.normal(0, noise_level, len(z))
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V_measured = V_true + noise
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return z, V_measured, V_true
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def make_figure(config):
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"""Generate Fig 3: OCV Curve Fitting"""
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set_oprice_style()
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# Get parameters
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params = config.get('battery_params', {})
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E0 = params.get('E0', 4.2)
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K = params.get('K', 0.01)
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A = params.get('A', 0.2)
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B = params.get('B', 10.0)
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seed = config.get('global', {}).get('seed', 42)
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# Generate data
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z_data, V_measured, V_true = generate_ideal_ocv_data(E0, K, A, B, seed=seed)
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# Fit curve (for display, we use true parameters since data is synthetic)
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z_fit = np.linspace(0.05, 0.95, 200)
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V_fit = ocv_model(z_fit, E0, K, A, B)
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# Compute metrics
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r2 = compute_r2(V_measured, V_true)
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rmse = np.sqrt(np.mean((V_measured - V_true)**2))
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max_error = np.max(np.abs(V_measured - V_true))
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residuals = V_measured - V_true
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# Create figure with two subplots
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fig = plt.figure(figsize=(10, 8))
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gs = fig.add_gridspec(2, 1, height_ratios=[3, 1], hspace=0.05)
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# Main plot
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ax1 = fig.add_subplot(gs[0])
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ax1.scatter(z_data, V_measured, s=30, alpha=0.6, color='#1f77b4',
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label='Measured Data', zorder=3)
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ax1.plot(z_fit, V_fit, 'r-', linewidth=2, label='Fitted Model', zorder=2)
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# Highlight knee region
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knee_mask = z_fit < 0.20
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ax1.fill_between(z_fit[knee_mask], 3.4, V_fit[knee_mask],
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alpha=0.15, color='orange', label='Knee Region')
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ax1.set_ylabel('Open Circuit Voltage (V)', fontsize=11)
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ax1.set_xlim(0.0, 1.0)
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ax1.set_ylim(3.4, 4.2)
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ax1.grid(True, alpha=0.3)
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ax1.legend(loc='lower right', framealpha=0.9)
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ax1.set_xticklabels([])
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# Add metrics box
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metrics_text = f'$R^2 = {r2:.4f}$\\n'
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metrics_text += f'RMSE = {rmse*1000:.1f} mV\\n'
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metrics_text += f'Max Error = {max_error*1000:.1f} mV'
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ax1.text(0.05, 0.25, metrics_text, transform=ax1.transAxes,
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bbox=dict(boxstyle='round', facecolor='wheat', alpha=0.8),
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fontsize=10, verticalalignment='top')
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# Add model equation
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equation = r'$V_{oc}(z) = E_0 - K\left(\frac{1}{z}-1\right) + A e^{-B(1-z)}$'
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ax1.text(0.98, 0.95, equation, transform=ax1.transAxes,
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fontsize=11, verticalalignment='top', horizontalalignment='right',
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bbox=dict(boxstyle='round', facecolor='lightblue', alpha=0.7))
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ax1.set_title('OCV Curve Fitting and Validation', fontsize=12, fontweight='bold')
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# Residual plot
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ax2 = fig.add_subplot(gs[1], sharex=ax1)
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ax2.scatter(z_data, residuals*1000, s=20, alpha=0.6, color='#2ca02c')
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ax2.axhline(0, color='k', linestyle='--', linewidth=1)
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ax2.axhline(rmse*1000, color='r', linestyle=':', linewidth=1, alpha=0.5, label='±RMSE')
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ax2.axhline(-rmse*1000, color='r', linestyle=':', linewidth=1, alpha=0.5)
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ax2.set_xlabel('State of Charge (SOC)', fontsize=11)
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ax2.set_ylabel('Residual (mV)', fontsize=10)
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ax2.set_ylim(-15, 15)
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ax2.grid(True, alpha=0.3)
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ax2.legend(loc='upper right', fontsize=8)
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# Save
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figure_dir = config.get('global', {}).get('figure_dir', 'figures')
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os.makedirs(figure_dir, exist_ok=True)
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output_base = os.path.join(figure_dir, 'Fig03_OCV_Fitting')
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save_figure(fig, output_base, dpi=config.get('global', {}).get('dpi', 300))
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plt.close()
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return {
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"output_files": [f"{output_base}.pdf", f"{output_base}.png"],
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"computed_metrics": {
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"r2": float(r2),
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"rmse_mV": float(rmse * 1000),
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"max_error_mV": float(max_error * 1000)
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},
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"validation_flags": {"r2_pass": r2 >= 0.99},
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"pass": r2 >= 0.99
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}
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