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| """ | |
| Synthetic Data Generator: Industrial Equipment Sensor Anomaly Detection | |
| Generates realistic multivariate sensor data from a simulated manufacturing | |
| plant with 5 equipment units. Embeds 4 distinct anomaly types at ~4% rate | |
| with realistic noise, missing values, temporal correlations, and concept drift. | |
| Reproducible with fixed random seeds. | |
| """ | |
| import numpy as np | |
| import pandas as pd | |
| from datetime import datetime, timedelta | |
| SEED = 42 | |
| np.random.seed(SEED) | |
| # ============================================================ | |
| # Configuration | |
| # ============================================================ | |
| N_EQUIPMENT = 5 | |
| EQUIPMENT_IDS = [f"EQ-{str(i).zfill(3)}" for i in range(1, N_EQUIPMENT + 1)] | |
| START_DATE = datetime(2024, 1, 1) | |
| READINGS_PER_EQUIPMENT = 10000 # 1-min intervals => ~7 days each | |
| TOTAL_ROWS = N_EQUIPMENT * READINGS_PER_EQUIPMENT # 50,000 | |
| ANOMALY_RATE_TARGET = 0.04 # ~4% | |
| # Sensor baseline profiles per equipment (slightly different characteristics) | |
| EQUIPMENT_PROFILES = { | |
| "EQ-001": {"temp_base": 72, "vib_base": 0.15, "press_base": 150, "rpm_base": 3000, "flow_base": 45}, | |
| "EQ-002": {"temp_base": 68, "vib_base": 0.12, "press_base": 155, "rpm_base": 3200, "flow_base": 48}, | |
| "EQ-003": {"temp_base": 75, "vib_base": 0.18, "press_base": 145, "rpm_base": 2800, "flow_base": 42}, | |
| "EQ-004": {"temp_base": 70, "vib_base": 0.14, "press_base": 152, "rpm_base": 3100, "flow_base": 46}, | |
| "EQ-005": {"temp_base": 73, "vib_base": 0.16, "press_base": 148, "rpm_base": 2900, "flow_base": 44}, | |
| } | |
| # Operating modes with transition probabilities | |
| OPERATING_MODES = ["startup", "normal", "high_load", "cooldown", "idle"] | |
| MODE_DURATION_RANGE = { | |
| "startup": (15, 45), | |
| "normal": (120, 480), | |
| "high_load": (30, 180), | |
| "cooldown": (20, 60), | |
| "idle": (30, 120), | |
| } | |
| MODE_MULTIPLIERS = { | |
| "startup": {"temp": 0.85, "vib": 1.3, "press": 0.9, "rpm": 0.7, "flow": 0.6}, | |
| "normal": {"temp": 1.0, "vib": 1.0, "press": 1.0, "rpm": 1.0, "flow": 1.0}, | |
| "high_load": {"temp": 1.25, "vib": 1.5, "press": 1.15, "rpm": 1.2, "flow": 1.3}, | |
| "cooldown": {"temp": 0.9, "vib": 0.8, "press": 0.95, "rpm": 0.5, "flow": 0.4}, | |
| "idle": {"temp": 0.7, "vib": 0.3, "press": 0.85, "rpm": 0.1, "flow": 0.05}, | |
| } | |
| # Anomaly type definitions | |
| # Type 1: Thermal runaway (gradual temperature escalation over 15-40 min) | |
| # Type 2: Bearing degradation (vibration increases + high-freq noise) | |
| # Type 3: Pressure leak (slow pressure drop with flow compensation) | |
| # Type 4: Sensor malfunction (one sensor gives erratic readings - NOT real failure) | |
| ANOMALY_TYPES = ["thermal_runaway", "bearing_degradation", "pressure_leak", "sensor_malfunction"] | |
| def generate_operating_mode_sequence(n_steps, rng): | |
| """Generate a realistic sequence of operating modes.""" | |
| modes = [] | |
| current_mode = "startup" | |
| steps_remaining = rng.integers(*MODE_DURATION_RANGE[current_mode]) | |
| for _ in range(n_steps): | |
| modes.append(current_mode) | |
| steps_remaining -= 1 | |
| if steps_remaining <= 0: | |
| # Transition logic | |
| if current_mode == "startup": | |
| current_mode = "normal" | |
| elif current_mode == "normal": | |
| current_mode = rng.choice(["normal", "high_load", "cooldown"], p=[0.6, 0.3, 0.1]) | |
| elif current_mode == "high_load": | |
| current_mode = rng.choice(["normal", "high_load", "cooldown"], p=[0.4, 0.3, 0.3]) | |
| elif current_mode == "cooldown": | |
| current_mode = rng.choice(["idle", "normal", "startup"], p=[0.4, 0.4, 0.2]) | |
| elif current_mode == "idle": | |
| current_mode = rng.choice(["startup", "idle"], p=[0.7, 0.3]) | |
| steps_remaining = rng.integers(*MODE_DURATION_RANGE[current_mode]) | |
| return modes | |
| def generate_base_sensor_data(n_steps, profile, modes, rng): | |
| """Generate correlated base sensor readings with mode-dependent behavior.""" | |
| t = np.arange(n_steps) | |
| # Slow ambient drift (diurnal cycle ~1440 min) | |
| ambient_cycle = 3.0 * np.sin(2 * np.pi * t / 1440) + 0.5 * np.sin(2 * np.pi * t / 720) | |
| # Equipment age effect (very subtle degradation over time) | |
| age_factor = 1.0 + 0.0001 * t | |
| temp_mult = np.array([MODE_MULTIPLIERS[m]["temp"] for m in modes]) | |
| vib_mult = np.array([MODE_MULTIPLIERS[m]["vib"] for m in modes]) | |
| press_mult = np.array([MODE_MULTIPLIERS[m]["press"] for m in modes]) | |
| rpm_mult = np.array([MODE_MULTIPLIERS[m]["rpm"] for m in modes]) | |
| flow_mult = np.array([MODE_MULTIPLIERS[m]["flow"] for m in modes]) | |
| # Core sensors (correlated via physics) | |
| temp_base = profile["temp_base"] * temp_mult * age_factor + ambient_cycle | |
| vib_base = profile["vib_base"] * vib_mult * age_factor | |
| press_base = profile["press_base"] * press_mult | |
| rpm_base = profile["rpm_base"] * rpm_mult | |
| flow_base = profile["flow_base"] * flow_mult | |
| # Add realistic sensor noise | |
| temp = temp_base + rng.normal(0, 0.8, n_steps) | |
| vibration = vib_base + rng.normal(0, 0.01, n_steps) | |
| pressure = press_base + rng.normal(0, 1.5, n_steps) | |
| rpm = rpm_base + rng.normal(0, 15, n_steps) | |
| flow_rate = flow_base + rng.normal(0, 0.8, n_steps) | |
| # Derived/correlated sensors | |
| # Power consumption correlates with RPM and load | |
| power = 0.012 * rpm + 0.3 * flow_rate + rng.normal(0, 0.5, n_steps) | |
| # Coolant temperature lags behind main temp | |
| coolant_temp = np.convolve(temp, np.ones(10) / 10, mode='same') - 5 + rng.normal(0, 0.3, n_steps) | |
| # Acoustic level correlates with vibration and RPM | |
| acoustic_db = 40 + 80 * vibration + 0.005 * rpm + rng.normal(0, 1.0, n_steps) | |
| # Oil viscosity inversely related to temperature | |
| oil_viscosity = 100 - 0.4 * temp + rng.normal(0, 0.5, n_steps) | |
| # Humidity (mostly ambient, weakly correlated) | |
| humidity = 45 + 10 * np.sin(2 * np.pi * t / 1440 + 1.5) + rng.normal(0, 2, n_steps) | |
| return { | |
| "temperature_c": temp, | |
| "vibration_mm_s": np.clip(vibration, 0, None), | |
| "pressure_kpa": pressure, | |
| "motor_rpm": np.clip(rpm, 0, None), | |
| "flow_rate_lpm": np.clip(flow_rate, 0, None), | |
| "power_consumption_kw": np.clip(power, 0, None), | |
| "coolant_temp_c": coolant_temp, | |
| "acoustic_level_db": np.clip(acoustic_db, 20, 120), | |
| "oil_viscosity_cst": np.clip(oil_viscosity, 10, 150), | |
| "humidity_pct": np.clip(humidity, 10, 95), | |
| "ambient_temp_c": 22 + ambient_cycle + rng.normal(0, 0.3, n_steps), | |
| } | |
| def inject_anomalies(sensors, modes, n_steps, rng): | |
| """Inject 4 types of anomalies into sensor data.""" | |
| is_anomaly = np.zeros(n_steps, dtype=int) | |
| anomaly_type = np.full(n_steps, "normal", dtype=object) | |
| # Calculate how many anomaly windows we need | |
| target_anomaly_count = int(n_steps * ANOMALY_RATE_TARGET) | |
| injected = 0 | |
| # Track used indices to avoid overlap | |
| used = np.zeros(n_steps, dtype=bool) | |
| # Type 1: Thermal runaway (gradual, 15-40 min windows) | |
| n_thermal = int(target_anomaly_count * 0.30) | |
| thermal_injected = 0 | |
| attempts = 0 | |
| while thermal_injected < n_thermal and attempts < 500: | |
| attempts += 1 | |
| window_len = rng.integers(15, 41) | |
| start = rng.integers(100, n_steps - window_len - 10) | |
| if used[start:start + window_len].any(): | |
| continue | |
| # Only inject during normal or high_load (realistic) | |
| if modes[start] not in ("normal", "high_load"): | |
| continue | |
| ramp = np.linspace(0, 1, window_len) ** 1.5 # Accelerating ramp | |
| magnitude = rng.uniform(15, 35) | |
| sensors["temperature_c"][start:start + window_len] += magnitude * ramp | |
| # Correlated: coolant also rises but lagged | |
| lag = min(5, window_len // 3) | |
| sensors["coolant_temp_c"][start + lag:start + window_len] += magnitude * 0.6 * ramp[:window_len - lag] | |
| # Oil viscosity drops as temperature rises | |
| sensors["oil_viscosity_cst"][start:start + window_len] -= magnitude * 0.3 * ramp | |
| # Power increases slightly | |
| sensors["power_consumption_kw"][start:start + window_len] += 2 * ramp | |
| is_anomaly[start:start + window_len] = 1 | |
| anomaly_type[start:start + window_len] = "thermal_runaway" | |
| used[start:start + window_len] = True | |
| thermal_injected += window_len | |
| # Type 2: Bearing degradation (vibration spikes, 5-20 min) | |
| n_bearing = int(target_anomaly_count * 0.25) | |
| bearing_injected = 0 | |
| attempts = 0 | |
| while bearing_injected < n_bearing and attempts < 500: | |
| attempts += 1 | |
| window_len = rng.integers(5, 21) | |
| start = rng.integers(100, n_steps - window_len - 10) | |
| if used[start:start + window_len].any(): | |
| continue | |
| # Vibration increases with high-frequency noise | |
| vib_increase = rng.uniform(0.3, 0.8) | |
| noise_amp = rng.uniform(0.05, 0.15) | |
| sensors["vibration_mm_s"][start:start + window_len] += vib_increase + noise_amp * rng.standard_normal(window_len) | |
| # Acoustic level increases proportionally | |
| sensors["acoustic_level_db"][start:start + window_len] += 15 + 5 * rng.standard_normal(window_len) | |
| # Slight RPM fluctuation | |
| sensors["motor_rpm"][start:start + window_len] += rng.normal(0, 30, window_len) | |
| is_anomaly[start:start + window_len] = 1 | |
| anomaly_type[start:start + window_len] = "bearing_degradation" | |
| used[start:start + window_len] = True | |
| bearing_injected += window_len | |
| # Type 3: Pressure leak (subtle, slow, 20-60 min) | |
| n_pressure = int(target_anomaly_count * 0.25) | |
| pressure_injected = 0 | |
| attempts = 0 | |
| while pressure_injected < n_pressure and attempts < 500: | |
| attempts += 1 | |
| window_len = rng.integers(20, 61) | |
| start = rng.integers(100, n_steps - window_len - 10) | |
| if used[start:start + window_len].any(): | |
| continue | |
| if modes[start] not in ("normal", "high_load"): | |
| continue | |
| ramp = np.linspace(0, 1, window_len) | |
| pressure_drop = rng.uniform(8, 25) | |
| sensors["pressure_kpa"][start:start + window_len] -= pressure_drop * ramp | |
| # Flow rate compensates (system tries to maintain) | |
| sensors["flow_rate_lpm"][start:start + window_len] += 3 * ramp | |
| # Power increases as pump works harder | |
| sensors["power_consumption_kw"][start:start + window_len] += 1.5 * ramp | |
| is_anomaly[start:start + window_len] = 1 | |
| anomaly_type[start:start + window_len] = "pressure_leak" | |
| used[start:start + window_len] = True | |
| pressure_injected += window_len | |
| # Type 4: Sensor malfunction (erratic readings on ONE sensor - THIS IS A TRAP) | |
| # These look like anomalies but are just sensor failures, NOT equipment failures | |
| # A smart model should learn to distinguish these | |
| n_sensor_mal = int(target_anomaly_count * 0.20) | |
| sensor_mal_injected = 0 | |
| attempts = 0 | |
| while sensor_mal_injected < n_sensor_mal and attempts < 500: | |
| attempts += 1 | |
| window_len = rng.integers(10, 30) | |
| start = rng.integers(100, n_steps - window_len - 10) | |
| if used[start:start + window_len].any(): | |
| continue | |
| # Pick a random sensor to malfunction | |
| target_sensor = rng.choice([ | |
| "temperature_c", "vibration_mm_s", "pressure_kpa", "motor_rpm" | |
| ]) | |
| # Sensor gives erratic readings (not physically consistent) | |
| original = sensors[target_sensor][start:start + window_len].copy() | |
| noise_scale = np.std(sensors[target_sensor]) * rng.uniform(2, 5) | |
| # Random spikes and drops (uncorrelated with other sensors) | |
| erratic = original + noise_scale * rng.standard_normal(window_len) | |
| # Sometimes stuck at a value | |
| if rng.random() > 0.5: | |
| stuck_start = rng.integers(0, max(1, window_len // 2)) | |
| stuck_len = rng.integers(3, min(10, window_len - stuck_start)) | |
| erratic[stuck_start:stuck_start + stuck_len] = original[stuck_start] | |
| sensors[target_sensor][start:start + window_len] = erratic | |
| # Key distinction: OTHER correlated sensors remain normal! | |
| # This is how an agent should detect it's a sensor issue, not equipment | |
| is_anomaly[start:start + window_len] = 1 | |
| anomaly_type[start:start + window_len] = "sensor_malfunction" | |
| used[start:start + window_len] = True | |
| sensor_mal_injected += window_len | |
| return is_anomaly, anomaly_type | |
| def add_missing_values(df, rng): | |
| """Add realistic missing value patterns.""" | |
| n = len(df) | |
| sensor_cols = [ | |
| "temperature_c", "vibration_mm_s", "pressure_kpa", "motor_rpm", | |
| "flow_rate_lpm", "power_consumption_kw", "coolant_temp_c", | |
| "acoustic_level_db", "oil_viscosity_cst", "humidity_pct" | |
| ] | |
| # Random sporadic missing (~1-2% per sensor) | |
| for col in sensor_cols: | |
| mask = rng.random(n) < rng.uniform(0.008, 0.025) | |
| df.loc[mask, col] = np.nan | |
| # Block missing (simulating sensor outages, 5-15 min blocks) | |
| n_blocks = rng.integers(15, 30) | |
| for _ in range(n_blocks): | |
| block_sensor = rng.choice(sensor_cols) | |
| block_start = rng.integers(0, n - 20) | |
| block_len = rng.integers(5, 16) | |
| df.loc[block_start:block_start + block_len, block_sensor] = np.nan | |
| # Correlated missing: when one sensor drops, nearby sensors sometimes drop too | |
| for col in sensor_cols[:5]: | |
| missing_idx = df[df[col].isna()].index | |
| for idx in missing_idx: | |
| if rng.random() < 0.15: # 15% chance of correlated dropout | |
| neighbor = rng.choice([c for c in sensor_cols if c != col]) | |
| if idx in df.index: | |
| df.loc[idx, neighbor] = np.nan | |
| return df | |
| def add_concept_drift(sensors, n_steps, rng): | |
| """Add subtle concept drift — baseline shifts partway through.""" | |
| drift_point = rng.integers(n_steps // 3, 2 * n_steps // 3) | |
| drift_ramp = np.zeros(n_steps) | |
| ramp_len = rng.integers(500, 1500) | |
| end_point = min(drift_point + ramp_len, n_steps) | |
| drift_ramp[drift_point:end_point] = np.linspace(0, 1, end_point - drift_point) | |
| drift_ramp[end_point:] = 1.0 | |
| # Subtle baseline shift in temperature and pressure | |
| sensors["temperature_c"] += drift_ramp * rng.uniform(1.5, 3.5) | |
| sensors["pressure_kpa"] -= drift_ramp * rng.uniform(1.0, 3.0) | |
| return sensors | |
| def generate_equipment_data(eq_id, profile, rng): | |
| """Generate complete data for one equipment unit.""" | |
| n = READINGS_PER_EQUIPMENT | |
| # Timestamps | |
| timestamps = [START_DATE + timedelta(minutes=i) for i in range(n)] | |
| # Operating modes | |
| modes = generate_operating_mode_sequence(n, rng) | |
| # Base sensor data | |
| sensors = generate_base_sensor_data(n, profile, modes, rng) | |
| # Add concept drift | |
| sensors = add_concept_drift(sensors, n, rng) | |
| # Inject anomalies | |
| is_anomaly, anomaly_type = inject_anomalies(sensors, modes, n, rng) | |
| # Equipment metadata | |
| equipment_age_hours = np.arange(n) / 60 + rng.uniform(500, 5000) | |
| last_maintenance_hours = np.zeros(n) | |
| maintenance_interval = rng.integers(2000, 4000) | |
| last_maint = 0 | |
| for i in range(n): | |
| if (i - last_maint) > maintenance_interval: | |
| last_maint = i | |
| maintenance_interval = rng.integers(2000, 4000) | |
| last_maintenance_hours[i] = (i - last_maint) / 60 | |
| # Build dataframe | |
| data = { | |
| "timestamp": timestamps, | |
| "equipment_id": eq_id, | |
| "operating_mode": modes, | |
| **sensors, | |
| "equipment_age_hours": np.round(equipment_age_hours, 1), | |
| "hours_since_maintenance": np.round(last_maintenance_hours, 1), | |
| "is_anomaly": is_anomaly, | |
| "anomaly_type": anomaly_type, | |
| } | |
| return pd.DataFrame(data) | |
| def add_leakage_features(df, rng): | |
| """ | |
| Add features that look useful but contain target leakage. | |
| These should be identified and removed by a careful agent. | |
| """ | |
| n = len(df) | |
| # Leakage 1: rolling_anomaly_rate — computed from future labels | |
| # This is a rolling mean of is_anomaly with centered window (uses future data) | |
| df["rolling_anomaly_rate"] = ( | |
| df.groupby("equipment_id")["is_anomaly"] | |
| .transform(lambda x: x.rolling(60, center=True, min_periods=1).mean()) | |
| ) | |
| # Add small noise to disguise it | |
| df["rolling_anomaly_rate"] += rng.normal(0, 0.005, n) | |
| df["rolling_anomaly_rate"] = df["rolling_anomaly_rate"].clip(0, 1) | |
| # Leakage 2: maintenance_priority_score — assigned AFTER anomaly detected | |
| # Higher scores for rows that are actually anomalies (post-hoc label) | |
| df["maintenance_priority_score"] = rng.uniform(0, 30, n) | |
| anomaly_mask = df["is_anomaly"] == 1 | |
| df.loc[anomaly_mask, "maintenance_priority_score"] += rng.uniform(20, 50, anomaly_mask.sum()) | |
| # Leakage 3: alert_code — categorical that's derived from anomaly_type | |
| def map_alert(atype): | |
| if atype == "normal": | |
| return rng.choice(["NONE", "TEMP_WARN", "VIB_WARN"], p=[0.92, 0.04, 0.04]) | |
| elif atype == "thermal_runaway": | |
| return rng.choice(["TEMP_WARN", "TEMP_CRIT"], p=[0.3, 0.7]) | |
| elif atype == "bearing_degradation": | |
| return rng.choice(["VIB_WARN", "VIB_CRIT"], p=[0.4, 0.6]) | |
| elif atype == "pressure_leak": | |
| return rng.choice(["PRESS_WARN", "PRESS_CRIT"], p=[0.5, 0.5]) | |
| elif atype == "sensor_malfunction": | |
| return rng.choice(["SENSOR_ERR", "NONE"], p=[0.6, 0.4]) | |
| return "NONE" | |
| df["alert_code"] = df["anomaly_type"].apply(map_alert) | |
| return df | |
| def main(): | |
| rng = np.random.default_rng(SEED) | |
| all_data = [] | |
| for eq_id, profile in EQUIPMENT_PROFILES.items(): | |
| print(f"Generating data for {eq_id}...") | |
| eq_rng = np.random.default_rng(rng.integers(0, 2**31)) | |
| eq_data = generate_equipment_data(eq_id, profile, eq_rng) | |
| all_data.append(eq_data) | |
| df = pd.concat(all_data, ignore_index=True) | |
| # Sort by timestamp, then equipment_id | |
| df = df.sort_values(["timestamp", "equipment_id"]).reset_index(drop=True) | |
| # Add unique row IDs | |
| df.insert(0, "reading_id", [f"R{str(i).zfill(6)}" for i in range(len(df))]) | |
| # Add leakage features (trap for naive agents) | |
| df = add_leakage_features(df, rng) | |
| # Add missing values | |
| df = add_missing_values(df, rng) | |
| # Print stats | |
| print(f"\nDataset shape: {df.shape}") | |
| print(f"Anomaly rate: {df['is_anomaly'].mean():.4f}") | |
| print(f"Anomaly type distribution:") | |
| print(df["anomaly_type"].value_counts()) | |
| print(f"\nMissing values per column:") | |
| print(df.isnull().sum()[df.isnull().sum() > 0]) | |
| # Save raw data | |
| df.to_csv("/home/claude/data.csv", index=False) | |
| print(f"\nSaved to /home/claude/data.csv") | |
| return df | |
| if __name__ == "__main__": | |
| df = main() | |