Quantifying Event-Based Heatwave-Induced Power Outage Risk: A Multi-Year Spatiotemporal Analysis in Texas
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area and Period
2.2. Electricity Outage Data and Event Construction
2.2.1. EAGLE-I Data and Hourly Aggregation
2.2.2. New Outages
2.3. Meteorological Data and Apparent Temperature
2.3.1. Open-Meteo Archive
2.3.2. Dew Point and Heat Index
2.4. Daily Metrics
- Temperature: daily maximum (TF,max = maxh€d TF,h), and daily mean (TF,mean = meanh€d TF,h) air temperature (°F).
- Heat index: daily maximum (HImax = maxh€d HIh), and daily mean (HImean = meanh€d HIh)). The daily maximum heat index serves as the primary heatwave indicator because it captures the peak thermal stress experienced during the hottest part of the day, when electricity demand and equipment thermal limits are most critical [2].
- Hours of extreme heat: the number of hours during which the heat index equaled or exceeded 95 °F (nHI ≥ 95nHI ≥ 95) and 100 °F (nHI ≥ 100nHI ≥ 100). These counts characterize the duration of sustained extreme heat within each day, complementing the peak value with a measure of persistence.
- Outage metrics: total new outage customers during the day (new_outages_dayc,d = ∑h∈d new_outagesc,h) and the maximum concurrent customers without power (max_outages_customersc,d = maxh∈d outages_customersc,h). The daily sum of new outages captures total failure magnitude, while the daily maximum concurrent outage reflects peak system stress.
- Month: extracted from the date for subsequent seasonal filtering.
2.5. Adaptive Heatwave Threshold
2.6. Heatwave Event Identification and Metrics
2.7. County-Level Indicators and Mapping
2.8. Exploratory Distributions of Event Severity and Duration
2.9. Logistic Regression for Major Outages
2.9.1. Definition of Major Events
- P90 severity: Me ≥ P90, events in the top 10% of severity (≥347 customers in the dataset);
- P95 severity: Me ≥ P95; events in the top 5% of severity (≥1047 customers);
- Fixed 500 customers: operationally interpretable utility-scale threshold.
2.9.2. Model Specification
2.9.3. Visualization of Fitted Relationships
2.10. Software and Reproducibility
3. Results
3.1. Meteorological Data and Spatial Validation
3.2. Characteristics of Texas Heatwave–Outage Events
3.3. Spatial Patterns of Heatwave–Outage Frequency, Impacts, and Duration
3.4. Major-Outage Logistic Regression and Threshold Robustness
4. Discussion
4.1. Heat Intensity as a Probabilistic Driver of Major Outages
4.2. Comparison with Previous Studies
4.3. Spatial Heterogeneity and Resilience Implications
4.4. Limitations and Future Work
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Symbol | Description | Unit |
|---|---|---|
| c | County index | — |
| d | Calendar day index | — |
| e | Heatwave event index | — |
| h | Hour index | — |
| t | Timestamp (run_start_time) | — |
| y | Year index | — |
| Le | Duration of heatwave event e | h |
| Me | Maximum customers simultaneously affected during event e | customers |
| N | Total number of heatwave events | — |
| Nhm | Number of warm-season county-days exceeding the heatwave threshold | days |
| Nhm,out | Number of heatwave days with at least one outage | days |
| HI | Heat index (apparent temperature) | °F |
| HImax | Daily maximum heat index | °F |
| HImean | Daily or event-mean heat index | °F |
| OR | Odds ratio from logistic regression | — |
| RH | Relative humidity | % |
| T | Air temperature | °C |
| Th | Dew-point temperature | °C |
| Td,h | Dew-point temperature in Fahrenheit | °F |
| Th | Air temperature in Fahrenheit | °F |
| Thm | Heatwave threshold heat index value | °F |
| Xe | Centered event-mean heat index | °F |
| α | Magnus–Tetens parameter (α = 17.27) | — |
| β | Magnus–Tetens parameter (β = 237.7) | °C |
| β0 | Intercept coefficient in logistic regression | — |
| β1 | Slope coefficient in logistic regression | — |
| γ | Intermediate variable in dew-point calculation | — |
| μmean | Grand mean of event-mean heat index across all events | °F |
| τ | Severity threshold (P90, P95, or fixed 500) | — |
| c,d | Subscript denoting county c and day d | — |
| c,h | Subscript denoting county c and hour h | — |
| max | Subscript denoting maximum value | — |
| mean | Subscript denoting mean (average) value | — |
| start | Subscript denoting event start time | — |
| end | Subscript denoting event end time | — |
| DLNM | Distributed-lag non-linear model | — |
| EAGLE-I | Environment for Analysis of Geo-Located Energy Information | — |
| ERA5 | ECMWF Reanalysis v5 | — |
| ERCOT | Electric Reliability Council of Texas | — |
| FIPS | Federal Information Processing Standards | — |
| NWS | U.S. National Weather Service | — |
| P90 | 90th percentile severity threshold | — |
| P95 | 95th percentile severity threshold | — |
| Metric | Value | Interpretation |
|---|---|---|
| Mean Correlation (all months) | 0.9 | Temporal correlation of heat index—Strong temporal coherence |
| Mean Correlation (warm season) | 0.70 | Temporal correlation (warm season only, may–sep) (Figure 2) |
| Mean Agreement (%) | 92.8 | Heatwave timing agreement (Figure 3) |
| Central vs. All (mean corr) | 0.922 | Correlations with central Texas (reference point)—Reference point representative |
| Threshold | Key Statistics | Interpretation |
|---|---|---|
| P90 (≥347 customers) | OR = 1.52; 95% CI [1.36, 1.70]; p ≈ 4.7 × 10−14; McFadden R2 = 0.035 | Each +1 °F raises odds of a major event by ~52%. Predicted probability increases from ~7% to ~14% between lower and upper HI quartiles. |
| Fixed 500 customers | OR = 1.49; 95% CI [1.32, 1.67]; p ≈ 3.4 × 10−11; McFadden R2 = 0.030 | Utility-relevant threshold. Each +1 °F increases odds of a ≥500-customer event by ~49%. Probability approximately doubles (~5% → ~11%) across the observed IQR. |
| P95 (≥1047 customers) | OR = 1.43; 95% CI [1.23, 1.65]; p ≈ 1.8 × 10−6; McFadden R2 = 0.022 | Focuses on the most extreme 5% of events. Absolute probabilities are lower (~3–7%) but the relative increase with heat intensity remains strong. |
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Share and Cite
Kabir, S.M.R.; Rahman, M.; Zisha, F.K.; Meng, L. Quantifying Event-Based Heatwave-Induced Power Outage Risk: A Multi-Year Spatiotemporal Analysis in Texas. Sustainability 2026, 18, 6205. https://doi.org/10.3390/su18126205
Kabir SMR, Rahman M, Zisha FK, Meng L. Quantifying Event-Based Heatwave-Induced Power Outage Risk: A Multi-Year Spatiotemporal Analysis in Texas. Sustainability. 2026; 18(12):6205. https://doi.org/10.3390/su18126205
Chicago/Turabian StyleKabir, S M Redwan, Mizanur Rahman, Farhana Kabir Zisha, and Lei Meng. 2026. "Quantifying Event-Based Heatwave-Induced Power Outage Risk: A Multi-Year Spatiotemporal Analysis in Texas" Sustainability 18, no. 12: 6205. https://doi.org/10.3390/su18126205
APA StyleKabir, S. M. R., Rahman, M., Zisha, F. K., & Meng, L. (2026). Quantifying Event-Based Heatwave-Induced Power Outage Risk: A Multi-Year Spatiotemporal Analysis in Texas. Sustainability, 18(12), 6205. https://doi.org/10.3390/su18126205

