Risk-Aware Value-Oriented Net Demand Forecasting for Virtual Power Plants
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916288618561536 |
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| author | Zhang, Yufan Han, Jiajun Shi, Yuanyuan |
| author_facet | Zhang, Yufan Han, Jiajun Shi, Yuanyuan |
| contents | This paper develops a risk-aware net demand forecasting product for virtual power plants, which helps reduce the risk of high operation costs. At the training phase, a bilevel program for parameter estimation is formulated, where the upper level optimizes over the forecast model parameter to minimize the conditional value-at-risk (a risk metric) of operation costs. The lower level solves the operation problems given the forecast. Leveraging the specific structure of the operation problem, we show that the bilevel program is equivalent to a convex program when the forecast model is linear. Numerical results show that our approach effectively reduces the risk of high costs compared to the forecasting approach developed for risk-neutral decision makers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Risk-Aware Value-Oriented Net Demand Forecasting for Virtual Power Plants Zhang, Yufan Han, Jiajun Shi, Yuanyuan Systems and Control This paper develops a risk-aware net demand forecasting product for virtual power plants, which helps reduce the risk of high operation costs. At the training phase, a bilevel program for parameter estimation is formulated, where the upper level optimizes over the forecast model parameter to minimize the conditional value-at-risk (a risk metric) of operation costs. The lower level solves the operation problems given the forecast. Leveraging the specific structure of the operation problem, we show that the bilevel program is equivalent to a convex program when the forecast model is linear. Numerical results show that our approach effectively reduces the risk of high costs compared to the forecasting approach developed for risk-neutral decision makers. |
| title | Risk-Aware Value-Oriented Net Demand Forecasting for Virtual Power Plants |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2406.10434 |