Journal
IEEE TRANSACTIONS ON SUSTAINABLE ENERGY
Volume 12, Issue 1, Pages 58-69Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSTE.2020.2978634
Keywords
Wind power generation; Robustness; Uncertainty; Wind farms; Power systems; Optimization; Generators; Ambiguity set; confidence interval; distributionally robust; economic dispatch; imprecise probability theory; operational risk
Categories
Funding
- Shandong Provincial National Science Foundation of China [ZR2018MEE041]
- Science and Technology Project of State Grid Corporation of China [52060018000X, TSTE-00318-2019]
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This article introduces a confidence interval based distributionally robust real-time economic dispatch (CI-DRED) approach, which addresses the risk associated with accommodating wind power. By developing a novel ambiguity set based on imprecise probability theory and transforming the original nonlinear dispatch problem into a determined mixed integer linear programming problem, the proposed method effectively balances operational costs and risks. Numerical results on both the IEEE 118-bus system and a real 445-bus system demonstrate the efficiency and effectiveness of the approach.
This article proposes a confidence interval based distributionally robust real-time economic dispatch (CI-DRED) approach, which considers the risk related to accommodating wind power. In this article, only the wind power curtailment and load shedding due to wind power disturbances are evaluated in the operational risk. The proposed approach can strike a balance between the operational costs and risk even when the wind power probability distribution cannot be precisely estimated. A novel ambiguity set is developed based on the imprecise probability theory, which can be constructed based on the point-wise or family-wise confidence intervals. The worst pair of distributions in the established ambiguity set is then identified, and the original CI-DRED problem is transformed into a determined nonlinear dispatch problem accordingly. By using the sequential convex optimization method and piecewise linear approximation method, the nonlinear dispatch model is reformulated as a mixed integer linear programming problem, for which off-the-shelf solvers are available. A fast inactive constraint filtration method is also applied to further relieve the computational burden. Numerical results on the IEEE 118-bus system and a real 445-bus system verify the effectiveness and efficiency of the proposed approach.
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