Operation Risk Assessment of Power System Considering Spatiotemporal Distribution of Source-Load Under Extreme Weather
Abstract
1. Introduction
2. Meteorological Sensitivity Model of New Source-Load
2.1. Meteorological Sensitivity Model of Photovoltaic Power
2.2. Meteorological Sensitivity Model of Wind Power Output
2.3. Meteorological Sensitivity Modeling of Air-Conditioning Loads
3. Generating Annual Operational Scenario Generation for Considering Extreme Weather Events
3.1. Modeling Extreme Weather Events Using Gaussian Process Regression
3.1.1. Gaussian Process Regression Model
3.1.2. Generation of Extreme Weather Scenarios
3.2. Annual Operation Scenario Generation Method Based on TMY
3.2.1. Method for Generating a Typical Meteorological Year
- (1)
- Calculate the long-term cumulative distribution function and the annual cumulative distribution function values for each meteorological parameter:
- (2)
- Calculate the Finkelstein-Schafer statistics for each meteorological variable, abbreviated as
- (3)
- Based on the values calculated for each meteorological element monthly as described above, is computed using a specific weighting coefficient
3.2.2. Extreme Weather Scenario Insertion into TMY
- (1)
- Select appropriate time periods for extreme events based on climatic patterns: extreme heat is inserted into TMY’s summer months (July–August), while cold waves are inserted into winter months (December–February).
- (2)
- Calculate the quantiles of TMY data. Choose appropriate quantile calculation scales for different meteorological factors: hourly quantiles are calculated daily for temperature and irradiance; hourly quantiles are calculated monthly for wind speed.
- (3)
- Extract the increment for extreme weather events. Compare the extreme event parameter value with the corresponding TMY quantile for that time window, calculating the absolute increment as: Δ = Extreme Value–TMY Quantile. For example, if an extreme high temperature event reaches 40 °C while the TMY 95th percentile for the same period is 35 °C, then Δ = 5 °C.
- (4)
- Hourly adjustment of TMY. Within the insertion window, add the calculated Δ to the corresponding TMY parameter: Adjusted parameter = Original TMY value + Δ.
3.2.3. Annual Operation Scenario Generation Process for Power Systems
4. Operational Risk Assessment Framework for Power Systems Under Extreme Weather
4.1. Optimal Operation Model for Power Systems Considering Grid Security
4.1.1. Objective Function
4.1.2. Constraints
- (1)
- Node active power balance constraints are given by Equation (19):
- (2)
- Unit Operation Constraints
- (3)
- Load shedding constraints are shown in Equation (23):
- (4)
- Renewable Energy Output Constraint as shown in Equation (24) [35]:
- (5)
- Line Transmission Power Flow Constraint as shown in Equation (25) [36]:
4.2. Calculation of Risk Assessment Indicators
4.3. Risk Assessment Process of New Power System Operation Under Extreme Weather
- (1)
- Initialize the number of scenarios D and the assessment time t.
- (2)
- Generate annual system operation scenarios incorporating extreme weather. Reconstruct extreme weather event scenarios using the GPR model to obtain a set of extreme weather scenarios. Subsequently, fuse the reconstructed extreme weather scenario set with typical meteorological year sequences using the quantile increment mapping method.
- (3)
- Calculate scenario probabilities. Combine historical data to compute the occurrence probability of scenario d on day d according to Equation (17).
- (4)
- Calculate renewable energy output and load. Substitute the TMY data, incorporating extreme weather into the meteorological sensitivity models for PV (Equation (1)), wind power (Equation (2)), and air conditioning load (Equations (6)–(8)) to obtain output and load data at time t on day d.
- (5)
- Establish an optimized operation model considering grid security. Solve the model to obtain power flow results for the power system at time t on day d. If t > T, terminate the day d power flow calculation; otherwise, set t = t + 1, return to step 4, and calculate the power flow at time t + 1 until a full day’s power flow results are obtained.
- (6)
- Calculate various risk indicators for the system. Substitute the day d power flow results into Formulas (26)–(29) to compute risk assessment metrics. If d > D, terminate the current risk assessment cycle; otherwise, set d = d + 1, return to step 3 to calculate the occurrence probability for day d + 1; proceed to steps 4 and 5 to compute the day d + 1 power flow results; then calculate the day d + 1 risk assessment metrics. Repeat until the risk assessment metrics for the entire scenario are obtained.
5. Case Studies and Analysis
5.1. Scene Setting
5.2. Generation of Annual System Operation Scenarios Considering Extreme Weather
5.3. Calculation Results of System Risk Assessment Indicators
5.4. Analysis of System Risk Level Results
5.4.1. Risk Analysis of Extreme Weather Scenarios
- (1)
- Load Shedding Risk Analysis:
- (2)
- Line Overlimit Risk Analysis:
- (3)
- Analysis of Wind and Solar Curtailment Risks:
5.4.2. Annual System Risk Analysis
6. Discussion
- (a)
- While extreme weather events such as hurricanes and floods significantly affect transmission infrastructure, the current framework does not incorporate transmission system impacts or physical damage models;
- (b)
- The potential contributions of energy storage systems, microgrids, and other technologies to enhancing system operational risk resilience remain unaddressed.
7. Conclusions
- (1)
- Extreme weather significantly amplifies system operational risks by altering the spatiotemporal distribution of generation and load. Case studies based on the IEEE 24-node system reveal that months with extreme weather contribute disproportionately to annual high-risk events: The January cold wave concurrently elevates load shedding risk (0.058, the annual peak), wind curtailment risk (0.052, the annual peak), and solar curtailment risk (0.053). During July’s extreme heat, the ‘dual pressures’ of surging air-conditioning load and reduced PV efficiency push load shedding risk (0.055) and solar curtailment risk (0.067, the annual peak) to high levels. The August typhoon, characterized by fluctuating wind power and transmission constraints, markedly accentuates line overlimit risk (0.079, the annual peak) and wind curtailment risk (0.041). Different extreme weather events exhibit distinct risk profiles, validating the necessity of integrating weather type and spatiotemporal characteristics into risk assessment.
- (2)
- The constructed risk assessment framework provides quantitative decision support for power systems responding to extreme weather. By generating annual operational scenarios that incorporate extreme weather and integrating source-load meteorological sensitivity models with a grid security optimization model, it enables a dynamic assessment of multi-dimensional risk indicators, including load shedding, line overlimit, and wind/solar curtailment. This framework identifies dominant risk factors under different extreme weather conditions; for instance, the annual cumulative risk analysis highlights line overlimit risk (0.861) as the most prominent, followed by solar curtailment risk (0.669). This provides a scientific basis for formulating differentiated response strategies and contributes to enhancing the risk resilience and overall reliability of new power systems during extreme weather events.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Type | Parameter | Numerical Value |
|---|---|---|
| PV | /kW | 7.3 |
| /(kW/m2) | 1 | |
| /°C | 25 | |
| Wind power | /(m/s) | 9.5 |
| /kW | 5 | |
| /(m/s) | 2.5 | |
| /(m/s) | 40 |
| Types of Extreme Weather | Region | Meteorological Characteristics |
|---|---|---|
| Extreme heat | City Center | Average temperature ≥ 35 °C, maximum temperature reaching 40 °C; irradiance ≥ 800 W/m2 (sustained for 4 h at noon); wind speed ≤ 4 m/s |
| suburbs | Average temperature ≥ 30 °C, maximum temperature reaching 35 °C; irradiance ≥ 800 W/m2 (sustained for 4 h at noon); wind speed ≤ 4 m/s | |
| Cold wave | Central Area | Average temperature ≤ −2 °C; irradiance ≤ 200 W/m2, persisting throughout the day; wind speed 6–13 m/s |
| Peripheral Zone | Average temperature ≤ 1 °C; irradiance ≤ 350 W/m2, persisting throughout the day; wind speed 5–11 m/s | |
| Long-Distance Zone | Average temperature ≤ 5 °C; irradiance ≤ 400 W/m2, persisting throughout the day; wind speed 4–10 m/s | |
| Typhoon | Central Zone | Process cooling: 5–8 °C; irradiance ≤ 100 W/m2 (12-h duration); wind speed typically 13.9–20.7 m/s |
| Peripheral Zone | Process cooling: 4–6 °C; irradiance ≤ 100 W/m2 (12-h duration); wind speed typically 13.9–20.7 m/s | |
| Long-Distance Zone | Process cooling: 3–4 °C; irradiance ≤ 100 W/m2 (for 12 h); wind speed typically 13.9–20.7 m/s |
| Time | Load Shedding Risk | Line Overlimit Risk | Wind Curtailment Risk | Solar Curtailment Risk |
|---|---|---|---|---|
| Jan. | 0.058 | 0.076 | 0.052 | 0.053 |
| Feb. | 0.045 | 0.068 | 0.038 | 0.051 |
| Mar. | 0.047 | 0.072 | 0.042 | 0.056 |
| Apr. | 0.044 | 0.069 | 0.04 | 0.057 |
| May. | 0.046 | 0.071 | 0.039 | 0.055 |
| Jun. | 0.043 | 0.068 | 0.037 | 0.054 |
| Jul. | 0.055 | 0.073 | 0.036 | 0.067 |
| Aug. | 0.053 | 0.079 | 0.041 | 0.063 |
| Sep. | 0.046 | 0.07 | 0.035 | 0.054 |
| Oct. | 0.045 | 0.071 | 0.038 | 0.053 |
| Nov. | 0.044 | 0.069 | 0.04 | 0.052 |
| Dec. | 0.049 | 0.075 | 0.043 | 0.054 |
| Total | 0.575 | 0.861 | 0.481 | 0.669 |
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Xu, J.; Shen, Y.; Jiang, G.; Wei, M.; Ma, Y. Operation Risk Assessment of Power System Considering Spatiotemporal Distribution of Source-Load Under Extreme Weather. Processes 2025, 13, 3508. https://doi.org/10.3390/pr13113508
Xu J, Shen Y, Jiang G, Wei M, Ma Y. Operation Risk Assessment of Power System Considering Spatiotemporal Distribution of Source-Load Under Extreme Weather. Processes. 2025; 13(11):3508. https://doi.org/10.3390/pr13113508
Chicago/Turabian StyleXu, Jiayin, Yuming Shen, Guifen Jiang, Ming Wei, and Yinghao Ma. 2025. "Operation Risk Assessment of Power System Considering Spatiotemporal Distribution of Source-Load Under Extreme Weather" Processes 13, no. 11: 3508. https://doi.org/10.3390/pr13113508
APA StyleXu, J., Shen, Y., Jiang, G., Wei, M., & Ma, Y. (2025). Operation Risk Assessment of Power System Considering Spatiotemporal Distribution of Source-Load Under Extreme Weather. Processes, 13(11), 3508. https://doi.org/10.3390/pr13113508

