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| A solution strategy for distributed uncertain economic dispatch problems via scenario theory |
| PengLi,JiangpingHu |
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| (1 School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China;2 School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China) |
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| 摘要: |
| In this paper, an uncertain economic dispatch problem (EDP) is considered for a group of coopertive agents. First, let each
agent extract a set of samples (scenarios) from the uncertain set, and then a scenario EDP is obtained using these scenarios.
Based on the scenario theory, a prior certification is provided to evaluate the probabilistic feasibility of the scenario solution
for uncertain EDP. To facilitate the computational task, a distributed solution strategy is proposed by the alternating direction
method of multipliers (ADMM) and a finite-time consensus strategy. Moreover, the distributed strategy can solve the
scenario problem over a weight-balanced directed graph. Finally, the proposed solution strategy is applied to an EDP for a
power system involving wind power plants. |
| 关键词: Distributed system · Economic dispatch problem · Uncertain parameter · Scenario theory |
| DOI：https://doi.org/10.1007/s11768-021-00068-6 |
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| 基金项目: |
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| A solution strategy for distributed uncertain economic dispatch problems via scenario theory |
| Peng Li,Jiangping Hu |
| (1 School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China) |
| Abstract: |
| In this paper, an uncertain economic dispatch problem (EDP) is considered for a group of coopertive agents. First, let each
agent extract a set of samples (scenarios) from the uncertain set, and then a scenario EDP is obtained using these scenarios.
Based on the scenario theory, a prior certification is provided to evaluate the probabilistic feasibility of the scenario solution
for uncertain EDP. To facilitate the computational task, a distributed solution strategy is proposed by the alternating direction
method of multipliers (ADMM) and a finite-time consensus strategy. Moreover, the distributed strategy can solve the
scenario problem over a weight-balanced directed graph. Finally, the proposed solution strategy is applied to an EDP for a
power system involving wind power plants. |
| Key words: Distributed system · Economic dispatch problem · Uncertain parameter · Scenario theory |
