Journal of Modern Power Systems and Clean Energy

ISSN 2196-5625 CN 32-1884/TK

Probabilistic Energy and Reserve Co-dispatch for High-renewable Power Systems and Its Convex Reformulation

1.State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
2.School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

Fund Project:

This work was supported in part by the S&T Project of State Grid Corporation of China (No. 5100-202199512A-0-5-ZN) “Learning based Renewable Cluster Control and Coordinated Dispatch”.

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    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 (VaR) representation. Specifically, the VaR 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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  • Received:August 18,2022
  • Revised:November 09,2022
  • Adopted:
  • Online: November 16,2023
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