Probabilistic Energy and Reserve Co-dispatch for High-renewable Power Systems and Its Convex Reformulation
作者机构：State Key Laboratory of Power SystemsDepartment of Electrical EngineeringTsinghua UniversityBeijing 100084China IEEE School of Electrical Engineering and AutomationHefei University of TechnologyHefei 230009China
出 版 物：《Journal of Modern Power Systems and Clean Energy》 (现代电力系统与清洁能源学报（英文）)
年 卷 期：2023年第11卷第6期
页 面：1734-1745页
核心收录：
学科分类：080802[工学-电力系统及其自动化] 0808[工学-电气工程] 08[工学]
主 题：Renewable energy energy and reserve dispatch emergency control stochastic optimization analytical approximation
摘 要：This paper proposes a probabilistic energy and reserve co-dispatch(PERD) model to address the strong uncertainties in high-renewable power systems. The expected costs of potential renewable energy curtailment/load shedding are fully considered in this model, which avoids insufficient or excessive emergency control capacity to produce more economical reserve decisions than conventional chance-constrained dispatch methods. Furthermore, an analytical reformulation approach of PERD is proposed to make it tractable. We firstly develop an approximation technique with high precision to convert the integral terms in objective functions into analytical ones. Then, the calculation of probabilistic constraints is equivalently transformed into an unconstrained optimization problem by introducing value-at-risk(Va R) representation. Specifically, the Va R formulas can be computed by a computationally-cheap dichotomy search algorithm. Finally, the PERD model is transformed into a convex problem, which can be solved reliably and efficiently using off-the-shelf solvers. Case studies are performed on IEEE test systems and real provincial power grids in China to illustrate the scalability and efficiency of the proposed method.
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