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A题/ZJ_v2/fig04_internal_resistance.py

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+"""
+Fig 4: Internal Resistance 3D Surface
+Shows R0(T, z) dependency on temperature and SOC
+"""
+
+import os
+import numpy as np
+import matplotlib.pyplot as plt
+from mpl_toolkits.mplot3d import Axes3D
+from plot_style import set_oprice_style, save_figure
+
+def compute_internal_resistance(T_b, z, R_ref, E_a, T_ref):
+    """
+    Compute internal resistance with temperature and SOC dependence
+    R0 = R_ref * exp(E_a/R * (1/T - 1/T_ref)) * (1 + k_z * (1-z))
+    """
+    R_gas = 8.314  # J/(mol·K)
+    k_z = 0.5      # SOC dependence coefficient
+    
+    temp_factor = np.exp(E_a / R_gas * (1/T_b - 1/T_ref))
+    soc_factor = 1 + k_z * (1 - z)
+    
+    return R_ref * temp_factor * soc_factor
+
+def make_figure(config):
+    """Generate Fig 4: Internal Resistance 3D Surface"""
+    
+    set_oprice_style()
+    
+    # Get parameters
+    params = config.get('battery_params', {})
+    R_ref = params.get('R_ref', 0.1)
+    E_a = params.get('E_a', 20000)
+    T_ref = params.get('T_ref', 298.15)
+    
+    # Create grid
+    T_celsius = np.linspace(-10, 40, 50)
+    T_kelvin = T_celsius + 273.15
+    z_values = np.linspace(0.05, 0.95, 50)
+    T_grid, z_grid = np.meshgrid(T_kelvin, z_values)
+    
+    # Compute resistance surface
+    R0_grid = compute_internal_resistance(T_grid, z_grid, R_ref, E_a, T_ref)
+    
+    # Create figure
+    fig = plt.figure(figsize=(12, 9))
+    ax = fig.add_subplot(111, projection='3d')
+    
+    # Plot surface
+    surf = ax.plot_surface(T_celsius, z_grid, R0_grid, 
+                           cmap='coolwarm', alpha=0.9, 
+                           edgecolor='none', antialiased=True)
+    
+    # Add contour lines on bottom
+    ax.contour(T_celsius, z_values, R0_grid, 
+               levels=10, offset=0, cmap='coolwarm', alpha=0.5)
+    
+    # Labels and title
+    ax.set_xlabel('Temperature (°C)', fontsize=11, labelpad=10)
+    ax.set_ylabel('State of Charge (SOC)', fontsize=11, labelpad=10)
+    ax.set_zlabel('Internal Resistance (Ω)', fontsize=11, labelpad=10)
+    ax.set_title('Internal Resistance Dependence on Temperature and SOC', 
+                 fontsize=12, fontweight='bold', pad=20)
+    
+    # Set viewing angle
+    ax.view_init(elev=20, azim=135)
+    
+    # Colorbar
+    cbar = fig.colorbar(surf, ax=ax, shrink=0.6, aspect=15, pad=0.1)
+    cbar.set_label('R₀ (Ω)', fontsize=10)
+    
+    # Add annotation for key regions
+    ax.text2D(0.02, 0.95, 'Key Observations:\n' + 
+              '• Low temp → High resistance\n' +
+              '• Low SOC → High resistance\n' +
+              '• Coupled effect at extremes',
+              transform=ax.transAxes, fontsize=9,
+              verticalalignment='top',
+              bbox=dict(boxstyle='round', facecolor='wheat', alpha=0.8))
+    
+    # Save
+    figure_dir = config.get('global', {}).get('figure_dir', 'figures')
+    os.makedirs(figure_dir, exist_ok=True)
+    output_base = os.path.join(figure_dir, 'Fig04_Internal_Resistance')
+    save_figure(fig, output_base, dpi=config.get('global', {}).get('dpi', 300))
+    plt.close()
+    
+    # Compute some statistics
+    R0_min = float(np.min(R0_grid))
+    R0_max = float(np.max(R0_grid))
+    R0_ratio = R0_max / R0_min
+    
+    return {
+        "output_files": [f"{output_base}.pdf", f"{output_base}.png"],
+        "computed_metrics": {
+            "R0_min_ohm": R0_min,
+            "R0_max_ohm": R0_max,
+            "ratio": R0_ratio
+        },
+        "validation_flags": {},
+        "pass": True
+    }