Projection Method for Non-Iterative Decentralized Optimal Power Flow for Multi-Area Electricity System Considering the Uncertainty of PV Power
DOI:
https://doi.org/10.52152/4151Keywords:
Multi-Area Electricity System, Decentralized Optimal Power Flow, PV Output Uncertainty, Projection Method, Non-Iterative Method.Abstract
In this paper, a decentralized optimization method based on projection is proposed for multi-area interconnected electricity systems to enhance computational efficiency and privacy preservation. To address the challenges posed by photovoltaic (PV) uncertainty, a PV uncertainty model is proposed and translated into a certainty centralized operation model. The certainty centralized operation model decomposed into subproblems for each area. To preserve privacy, the proposed projection method transforms the operational constraints of each subproblem into a projection space that retains all essential information from the original space. This transformation conceals private variables of each area, preserving the privacy of local systems. The projection space of each subproblem constitutes the reformulated convex hull of the system, enabling the derivation of coupling variable solutions for the interconnected system. By solving the reformulated optimization problem, the coupling variables are obtained and used to decompose the problem into subproblems for each area. Each subproblem is then solved independently, avoiding iterations. This method addresses several drawbacks of traditional iterative decentralized methods, such as excessive iterations, long computation times, and potential non-convergence. Additionally, inter-area power transfer facilitates and enhances the absorption of PV generation, achieving 0 MW solar curtailment, lowering operating costs, and alleviating the impact of PV uncertainty. The effectiveness of the proposed method is verified through case studies on a 6-6 bused system and a 118-145 buses system. Results demonstrate the proposed method’s ability to achieve lower computational costs, higher accuracy, and better privacy preservation compared to conventional methods. The computational time of the proposed projection method in 118-145 buses system is 0.1046 s, significantly shorter than the 0.2130 s required by the conventional centralized operational method. The findings confirm that the proposed method is a practical and efficient solution for optimizing multi-area interconnected electricity systems under PV uncertainty.
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Copyright (c) 2025 Huafeng Liu, Chenhao Dai, Jinqiang Lin, Chenxi Dong, Dandan Zhai, Jiachen Kang, Hongyi Peng (Author)
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