We discuss ways to measure duration in a power transmission system resilience event by modeling outage and re- store processes from utility data. We introduce novel Poisson pro- cess models that describe how resilience events progress and verify that they are typical using extensive outage data collected across North America. Some usual duration metrics show impractically high statistical variability, and we recommend new duration met- rics that perform better. Moreover, the Poisson process models have parameters that can be estimated from observed network data under different weather conditions, and are promising new models of typical resilience events.
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Models, Metrics, and Their Formulas for Typical Electric Power System Resilience Events
Poisson process models are defined in terms of their rates for outage and restore processes in power system resilience events. These outage and restore processes easily yield the perfor- mance curves that track the evolution of resilience events, and the area, nadir, and duration of the performance curves are standard resilience metrics. This letter analyzes typical resilience events by analyzing the area, nadir, and duration of mean performance curves. Explicit and intuitive formulas for these metrics are de- rived in terms of the Poisson process model parameters, and these parameters can be estimated from utility data. This clarifies the calculation of metrics of typical resilience events, and shows what they depend on. The metric formulas are derived with lognormal, exponential, or constant rates of restoration. The method is illus- trated with a typical North American transmission event. Similarly nice formulas are obtained for the area metric for empirical power system data.
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- Award ID(s):
- 2153163
- PAR ID:
- 10494984
- Publisher / Repository:
- IEEE
- Date Published:
- Journal Name:
- IEEE Transactions on Power Systems
- Volume:
- 38
- Issue:
- 6
- ISSN:
- 0885-8950
- Page Range / eLocation ID:
- 5949 to 5952
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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