Bi-level optimisation improves economic viability and reduces power losses in photovoltaic energy systems.
To address the challenges of voltage deviation and increased network losses arising from the high integration of photovoltaic (PV) systems in distribution networks, this paper proposes a bi-level optimisation model for configuring distributed energy storage systems (ESS) tailored to high-penetration PV distribution networks. In the proposed model, the upper-level operational layer minimises voltage deviation and network losses to improve voltage quality and reduce power losses, while the lower-level planning layer optimises overall system cost, focusing on the capacity configuration of lithium-based ESS. The bi-level optimisation problem is solved using the Particle Swarm Optimisation (PSO) algorithm to determine the optimal ESS capacity. Case studies on a modified 33-bus distribution system demonstrate that the proposed model effectively reduces voltage deviation by up to 48.1% and network losses by up to 35.1%, while significantly enhancing economic efficiency through coordinated optimisation of operation and planning. This study offers a practical solution for energy storage planning in distribution networks with high PV penetration, balancing technical performance and economic viability.
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Zhi et al. (2026) studied this question.
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