""" Zone Analysis Module for DCRM Curves This module analyzes each segmented zone from DCRM graphs and evaluates the health characteristics based on industry standards for circuit breaker dynamic contact resistance measurements. Healthy DCRM Curve Characteristics: - Smooth resistance profile without excessive spikes - Gradual resistance drop during arcing contact engagement - Sharp drop to low, stable resistance (30-80 µΩ) during main contact engagement - Smooth resistance increase during opening operation - Minimal oscillations and no high peaks - Reproducible signature over time """ import numpy as np import pandas as pd from typing import Dict, List, Tuple, Any class ZoneAnalyzer: """Analyzes individual zones of DCRM curves for health assessment.""" # Healthy curve thresholds (based on research) HEALTHY_THRESHOLDS = { 'main_contact_resistance_max': 80, # µΩ (micro-ohms) - converted to graph units 'main_contact_resistance_min': 30, # µΩ 'max_resistance_spike_ratio': 3.0, # Max spike should be < 3x baseline 'max_oscillation_percentage': 15, # Max 15% oscillation in stable zones 'smoothness_threshold': 0.85, # Correlation coefficient for smoothness 'current_rise_rate_min': 0.5, # Minimum rate of current rise in Zone 1 'travel_stability_threshold': 5, # Max variation in travel during conduction } def __init__(self, df: pd.DataFrame, zones_data: Dict[str, Any]): """ Initialize the zone analyzer. Args: df: DataFrame with columns ['Time (ms)', 'Current', 'Resistance', 'Travel'] zones_data: Dictionary containing zone segmentation information """ self.df = df self.zones_data = zones_data self.analysis_results = {} def analyze_all_zones(self) -> Dict[str, Any]: """ Analyze all zones and return comprehensive health assessment. Returns: Dictionary containing analysis results for each zone """ if 'zones' not in self.zones_data: return {'error': 'No zone data available'} zones = self.zones_data['zones'] # Analyze each zone for zone_name, zone_info in zones.items(): zone_df = self._extract_zone_data(zone_info) if zone_df is not None and len(zone_df) > 0: analysis = self._analyze_zone(zone_name, zone_df, zone_info) self.analysis_results[zone_name] = analysis # Generate overall health assessment overall_health = self._calculate_overall_health() self.analysis_results['overall_health'] = overall_health return self.analysis_results def _extract_zone_data(self, zone_info: Dict) -> pd.DataFrame: """Extract data for a specific zone based on time boundaries.""" start_ms = zone_info.get('start_ms', 0) end_ms = zone_info.get('end_ms', 0) mask = (self.df['Time (ms)'] >= start_ms) & (self.df['Time (ms)'] <= end_ms) return self.df[mask].copy() def _analyze_zone(self, zone_name: str, zone_df: pd.DataFrame, zone_info: Dict) -> Dict[str, Any]: """ Analyze a specific zone based on its characteristics. Args: zone_name: Name of the zone zone_df: DataFrame containing zone data zone_info: Zone metadata Returns: Dictionary with zone analysis results """ analysis = { 'zone_name': zone_name, 'duration_ms': zone_info.get('end_ms', 0) - zone_info.get('start_ms', 0), 'health_status': 'Unknown', 'health_score': 0.0, 'issues': [], 'metrics': {} } # Zone-specific analysis if 'zone_1' in zone_name: analysis.update(self._analyze_zone_1_pre_contact(zone_df)) elif 'zone_2' in zone_name: analysis.update(self._analyze_zone_2_arcing_engagement(zone_df)) elif 'zone_3' in zone_name: analysis.update(self._analyze_zone_3_main_conduction(zone_df)) elif 'zone_4' in zone_name: analysis.update(self._analyze_zone_4_parting(zone_df)) elif 'zone_5' in zone_name: analysis.update(self._analyze_zone_5_final_open(zone_df)) return analysis def _analyze_zone_1_pre_contact(self, zone_df: pd.DataFrame) -> Dict[str, Any]: """ Analyze Zone 1: Pre-Contact Travel Expected behavior: - Travel should be increasing (contacts moving) - Current should be near zero (no contact yet) - Resistance should be very high (infinite/open circuit) """ metrics = {} issues = [] # Check travel progression travel_values = zone_df['Travel'].dropna() if len(travel_values) > 1: travel_trend = np.polyfit(range(len(travel_values)), travel_values, 1)[0] metrics['travel_rate'] = float(travel_trend) if travel_trend < 0.1: issues.append('Travel not increasing properly - possible mechanical issue') # Check current is near baseline current_values = zone_df['Current'].dropna() if len(current_values) > 0: current_mean = current_values.mean() current_std = current_values.std() metrics['current_baseline'] = float(current_mean) metrics['current_stability'] = float(current_std) # Current should rise towards end of zone if len(current_values) > 5: early_current = current_values.iloc[:len(current_values)//3].mean() late_current = current_values.iloc[-len(current_values)//3:].mean() current_rise = late_current - early_current metrics['current_rise'] = float(current_rise) if current_rise < self.HEALTHY_THRESHOLDS['current_rise_rate_min']: issues.append('Insufficient current rise - delayed contact engagement') # Calculate health score health_score = self._calculate_zone_health_score(metrics, issues, zone_type='zone_1') return { 'metrics': metrics, 'issues': issues, 'health_score': health_score, 'health_status': self._get_health_status(health_score) } def _analyze_zone_2_arcing_engagement(self, zone_df: pd.DataFrame) -> Dict[str, Any]: """ Analyze Zone 2: Arcing Contact Engagement Expected behavior: - Resistance drops from high to moderate (arcing contacts engaging) - Should see resistance spikes (arcing activity) - Current starts flowing - Smooth gradual drop is healthy """ metrics = {} issues = [] resistance_values = zone_df['Resistance'].dropna() if len(resistance_values) > 2: # Check for gradual resistance drop res_start = resistance_values.iloc[:3].mean() res_end = resistance_values.iloc[-3:].mean() res_drop = res_start - res_end metrics['resistance_drop'] = float(res_drop) if res_drop < 0: issues.append('Resistance increasing instead of dropping - abnormal arcing') # Analyze resistance spikes (expected during arcing) res_peaks = self._detect_peaks(resistance_values) metrics['spike_count'] = len(res_peaks) if len(res_peaks) > 0: max_spike = resistance_values.iloc[res_peaks].max() baseline = resistance_values.median() spike_ratio = max_spike / baseline if baseline > 0 else 0 metrics['max_spike_ratio'] = float(spike_ratio) if spike_ratio > self.HEALTHY_THRESHOLDS['max_resistance_spike_ratio']: issues.append(f'Excessive resistance spikes ({spike_ratio:.1f}x) - possible contact damage') # Check smoothness of transition smoothness = self._calculate_smoothness(resistance_values) metrics['transition_smoothness'] = float(smoothness) if smoothness < 0.6: # Lower threshold for arcing zone (spikes expected) issues.append('Erratic resistance pattern - possible contact erosion') # Check current flow current_values = zone_df['Current'].dropna() if len(current_values) > 0: metrics['current_mean'] = float(current_values.mean()) metrics['current_max'] = float(current_values.max()) health_score = self._calculate_zone_health_score(metrics, issues, zone_type='zone_2') return { 'metrics': metrics, 'issues': issues, 'health_score': health_score, 'health_status': self._get_health_status(health_score) } def _analyze_zone_3_main_conduction(self, zone_df: pd.DataFrame) -> Dict[str, Any]: """ Analyze Zone 3: Main Contact Conduction Expected behavior: - Resistance should be LOW and STABLE (30-80 µΩ ideal) - Travel should be at maximum (plateau) - Current should be stable - This is the "healthy contact" signature zone """ metrics = {} issues = [] resistance_values = zone_df['Resistance'].dropna() if len(resistance_values) > 0: res_mean = resistance_values.mean() res_std = resistance_values.std() res_min = resistance_values.min() res_max = resistance_values.max() metrics['resistance_mean'] = float(res_mean) metrics['resistance_std'] = float(res_std) metrics['resistance_range'] = float(res_max - res_min) # Check if resistance is in healthy range # Note: Graph units may not be µΩ, so we check relative stability instead oscillation_pct = (res_std / res_mean * 100) if res_mean > 0 else 0 metrics['oscillation_percentage'] = float(oscillation_pct) if oscillation_pct > self.HEALTHY_THRESHOLDS['max_oscillation_percentage']: issues.append(f'Excessive resistance oscillation ({oscillation_pct:.1f}%) - poor contact quality') # Check for stability (should be flat) smoothness = self._calculate_smoothness(resistance_values) metrics['resistance_stability'] = float(smoothness) if smoothness < self.HEALTHY_THRESHOLDS['smoothness_threshold']: issues.append('Unstable resistance - possible contact bouncing or misalignment') # Check travel plateau travel_values = zone_df['Travel'].dropna() if len(travel_values) > 0: travel_variation = travel_values.std() metrics['travel_variation'] = float(travel_variation) if travel_variation > self.HEALTHY_THRESHOLDS['travel_stability_threshold']: issues.append('Travel not stable - mechanical issue during conduction') # Check current stability current_values = zone_df['Current'].dropna() if len(current_values) > 0: current_std = current_values.std() current_mean = current_values.mean() current_stability = (current_std / current_mean * 100) if current_mean > 0 else 0 metrics['current_stability_pct'] = float(current_stability) health_score = self._calculate_zone_health_score(metrics, issues, zone_type='zone_3') return { 'metrics': metrics, 'issues': issues, 'health_score': health_score, 'health_status': self._get_health_status(health_score) } def _analyze_zone_4_parting(self, zone_df: pd.DataFrame) -> Dict[str, Any]: """ Analyze Zone 4: Main Contact Parting (The Break) Expected behavior: - Resistance should INCREASE sharply (contacts separating) - May see resistance spikes (arcing during separation) - Travel should start decreasing (opening) - Smooth increase is healthy """ metrics = {} issues = [] resistance_values = zone_df['Resistance'].dropna() if len(resistance_values) > 2: # Check for resistance increase res_start = resistance_values.iloc[:3].mean() res_end = resistance_values.iloc[-3:].mean() res_increase = res_end - res_start metrics['resistance_increase'] = float(res_increase) if res_increase < 0: issues.append('Resistance decreasing during parting - abnormal behavior') # Check rate of increase if len(resistance_values) > 1: res_trend = np.polyfit(range(len(resistance_values)), resistance_values, 1)[0] metrics['resistance_rise_rate'] = float(res_trend) if res_trend < 0.1: issues.append('Slow resistance rise - possible contact sticking') # Analyze spikes during parting (some arcing is normal) res_peaks = self._detect_peaks(resistance_values) metrics['parting_spike_count'] = len(res_peaks) if len(res_peaks) > 0: max_spike = resistance_values.iloc[res_peaks].max() baseline = resistance_values.median() spike_ratio = max_spike / baseline if baseline > 0 else 0 metrics['max_parting_spike_ratio'] = float(spike_ratio) if spike_ratio > self.HEALTHY_THRESHOLDS['max_resistance_spike_ratio'] * 1.5: issues.append(f'Excessive parting spikes ({spike_ratio:.1f}x) - severe arcing or contact damage') # Check travel movement travel_values = zone_df['Travel'].dropna() if len(travel_values) > 1: travel_trend = np.polyfit(range(len(travel_values)), travel_values, 1)[0] metrics['travel_opening_rate'] = float(travel_trend) if travel_trend > -0.1: # Should be negative (decreasing) issues.append('Travel not decreasing properly - mechanical opening issue') health_score = self._calculate_zone_health_score(metrics, issues, zone_type='zone_4') return { 'metrics': metrics, 'issues': issues, 'health_score': health_score, 'health_status': self._get_health_status(health_score) } def _analyze_zone_5_final_open(self, zone_df: pd.DataFrame) -> Dict[str, Any]: """ Analyze Zone 5: Final Open State Expected behavior: - Resistance should be very high and stable (infinite/open circuit) - Travel should be stable at minimum (fully open) - Current should be zero """ metrics = {} issues = [] resistance_values = zone_df['Resistance'].dropna() if len(resistance_values) > 0: res_mean = resistance_values.mean() res_std = resistance_values.std() metrics['final_resistance_mean'] = float(res_mean) metrics['final_resistance_stability'] = float(res_std) # Should be stable (flat line at high value) stability_pct = (res_std / res_mean * 100) if res_mean > 0 else 0 metrics['stability_percentage'] = float(stability_pct) if stability_pct > 10: issues.append('Unstable final resistance - possible incomplete opening') # Check travel is stable travel_values = zone_df['Travel'].dropna() if len(travel_values) > 0: travel_std = travel_values.std() metrics['travel_final_stability'] = float(travel_std) if travel_std > 3: issues.append('Travel unstable in final state - mechanical issue') # Check current is near zero current_values = zone_df['Current'].dropna() if len(current_values) > 0: current_mean = current_values.mean() metrics['final_current'] = float(current_mean) # Current should be very low in open state initial_current = self.df['Current'].iloc[:10].mean() # Baseline from start if current_mean > initial_current * 1.5: issues.append('Elevated current in open state - possible leakage') health_score = self._calculate_zone_health_score(metrics, issues, zone_type='zone_5') return { 'metrics': metrics, 'issues': issues, 'health_score': health_score, 'health_status': self._get_health_status(health_score) } def _detect_peaks(self, signal: pd.Series, prominence_factor: float = 0.3) -> List[int]: """ Detect peaks in a signal. Args: signal: Input signal prominence_factor: Minimum prominence as fraction of signal range Returns: List of peak indices """ if len(signal) < 3: return [] values = signal.values signal_range = values.max() - values.min() min_prominence = signal_range * prominence_factor peaks = [] for i in range(1, len(values) - 1): if values[i] > values[i-1] and values[i] > values[i+1]: # Check prominence left_min = min(values[max(0, i-5):i]) right_min = min(values[i+1:min(len(values), i+6)]) prominence = values[i] - max(left_min, right_min) if prominence >= min_prominence: peaks.append(i) return peaks def _calculate_smoothness(self, signal: pd.Series) -> float: """ Calculate smoothness of a signal using correlation with fitted line. Args: signal: Input signal Returns: Smoothness score (0-1, higher is smoother) """ if len(signal) < 3: return 0.0 x = np.arange(len(signal)) y = signal.values # Fit a polynomial (degree 2 for curves, degree 1 for lines) try: coeffs = np.polyfit(x, y, deg=2) fitted = np.polyval(coeffs, x) # Calculate correlation correlation = np.corrcoef(y, fitted)[0, 1] return abs(correlation) if not np.isnan(correlation) else 0.0 except: return 0.0 def _calculate_zone_health_score(self, metrics: Dict, issues: List[str], zone_type: str) -> float: """ Calculate health score for a zone (0-100). Args: metrics: Zone metrics issues: List of detected issues zone_type: Type of zone Returns: Health score (0-100) """ # Start with perfect score score = 100.0 # Deduct points for each issue score -= len(issues) * 15 # Zone-specific scoring adjustments if zone_type == 'zone_3': # Main conduction - most critical if 'oscillation_percentage' in metrics: osc = metrics['oscillation_percentage'] if osc > 20: score -= 20 elif osc > 15: score -= 10 if 'resistance_stability' in metrics: if metrics['resistance_stability'] < 0.85: score -= 15 elif zone_type == 'zone_2' or zone_type == 'zone_4': # Arcing zones if 'max_spike_ratio' in metrics or 'max_parting_spike_ratio' in metrics: spike_key = 'max_spike_ratio' if 'max_spike_ratio' in metrics else 'max_parting_spike_ratio' spike_ratio = metrics[spike_key] if spike_ratio > 5: score -= 25 elif spike_ratio > 3: score -= 10 # Ensure score is in valid range return max(0.0, min(100.0, score)) def _get_health_status(self, score: float) -> str: """Convert health score to status label.""" if score >= 85: return 'Excellent' elif score >= 70: return 'Good' elif score >= 50: return 'Fair' elif score >= 30: return 'Poor' else: return 'Critical' def _calculate_overall_health(self) -> Dict[str, Any]: """ Calculate overall health assessment across all zones. Returns: Dictionary with overall health metrics """ if not self.analysis_results: return {'status': 'No data', 'score': 0.0} # Collect all zone scores zone_scores = [] all_issues = [] for zone_name, analysis in self.analysis_results.items(): if isinstance(analysis, dict) and 'health_score' in analysis: zone_scores.append(analysis['health_score']) all_issues.extend(analysis.get('issues', [])) if not zone_scores: return {'status': 'Unknown', 'score': 0.0} # Calculate weighted average (Zone 3 is most important) weights = { 'zone_1_pre_contact': 0.15, 'zone_2_arcing_engagement': 0.20, 'zone_3_main_conduction': 0.35, # Most critical 'zone_4_parting': 0.20, 'zone_5_final_open': 0.10 } weighted_score = 0.0 total_weight = 0.0 for zone_name, analysis in self.analysis_results.items(): if isinstance(analysis, dict) and 'health_score' in analysis: weight = weights.get(zone_name, 0.2) weighted_score += analysis['health_score'] * weight total_weight += weight overall_score = weighted_score / total_weight if total_weight > 0 else 0.0 return { 'overall_score': round(overall_score, 2), 'status': self._get_health_status(overall_score), 'total_issues': len(all_issues), 'critical_issues': [issue for issue in all_issues if 'severe' in issue.lower() or 'critical' in issue.lower()], 'recommendation': self._generate_recommendation(overall_score, all_issues) } def _generate_recommendation(self, score: float, issues: List[str]) -> str: """Generate maintenance recommendation based on analysis.""" if score >= 85: return 'Circuit breaker is in excellent condition. Continue regular monitoring.' elif score >= 70: return 'Circuit breaker is in good condition. Schedule routine maintenance as planned.' elif score >= 50: return 'Circuit breaker shows signs of wear. Increase monitoring frequency and plan maintenance.' elif score >= 30: return 'Circuit breaker condition is poor. Schedule maintenance soon to prevent failure.' else: return 'CRITICAL: Circuit breaker requires immediate attention. Risk of failure is high.' def analyze_zones_with_image(df: pd.DataFrame, zones_data: Dict[str, Any], annotated_image: np.ndarray = None) -> Dict[str, Any]: """ Convenience function to analyze zones and optionally annotate image. Args: df: DataFrame with DCRM data zones_data: Zone segmentation data annotated_image: Optional image to annotate with analysis results Returns: Complete analysis results """ analyzer = ZoneAnalyzer(df, zones_data) results = analyzer.analyze_all_zones() # If image provided, add visual annotations if annotated_image is not None: results['annotated_image'] = _annotate_image_with_health( annotated_image, results, zones_data ) return results def _annotate_image_with_health(image: np.ndarray, analysis_results: Dict[str, Any], zones_data: Dict[str, Any]) -> np.ndarray: """ Annotate image with health status for each zone. Args: image: Input image analysis_results: Analysis results from ZoneAnalyzer zones_data: Zone segmentation data Returns: Annotated image """ import cv2 annotated = image.copy() height = annotated.shape[0] # Color coding for health status status_colors = { 'Excellent': (0, 255, 0), # Green 'Good': (144, 238, 144), # Light Green 'Fair': (255, 255, 0), # Yellow 'Poor': (255, 165, 0), # Orange 'Critical': (255, 0, 0) # Red } if 'zones' in zones_data: for zone_name, zone_info in zones_data['zones'].items(): if zone_name in analysis_results: analysis = analysis_results[zone_name] status = analysis.get('health_status', 'Unknown') color = status_colors.get(status, (128, 128, 128)) # Add colored indicator at top of zone # This is a simple implementation - can be enhanced y_pos = 30 text = f"{status} ({analysis.get('health_score', 0):.0f})" cv2.putText(annotated, text, (10, y_pos), cv2.FONT_HERSHEY_SIMPLEX, 0.5, color, 2) return annotated