Three-Phase Unbalance Mitigation via DSO-FRA Coordination: A GNB-Based Chance-Constrained Model Considering PV Uncertainty
Abstract
Although flexible resource aggregators (FRAs), represented by electric vehicle aggregators (EVAs) and load aggregators (LAs), possess inherent flexibility to mitigate three-phase unbalance, the key challenge lies in how to effectively incentivize them to actively participate in unbalance mitigation. To address this, this paper proposes a generalized Nash bargaining (GNB)-based chance-constrained coordinated operation model for the distribution system operator (DSO) and FRAs. In this framework, the DSO and FRAs cooperate to mitigate three-phase unbalance, where FRAs provide flexibility to reduce the DSO's unbalance mitigation costs, and the DSO offers economic incentives to FRAs in return. Bargaining power is tailored according to each participant's contribution to unbalance mitigation to ensure fair profit allocation. Moreover, a scenario-based chance-constrained formulation is integrated to handle photovoltaic (PV) output uncertainties. To solve the model, a distributed proximal decomposition algorithm (PDA) is introduced for the independent model, while the coordinated model is decomposed into a social welfare maximization subproblem and a payment bargaining subproblem, with an improved bilinear Benders decomposition algorithm developed to solve the former. Numerical results validate the effectiveness of the proposed method in mitigating unbalance, ensuring fair profit distribution, and enhancing robustness against uncertainties.
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BibTeX
@misc{zhou2026threephase,
title = {{Three-Phase Unbalance Mitigation via DSO-FRA Coordination: A GNB-Based Chance-Constrained Model Considering PV Uncertainty}},
author = {Qun Zhou and Jiale Guo and Jing Huang and Minrui Leng and Xueshan Liu and Chenjia Gu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.14461},
eprint = {2609.14461},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14461},
}
RIS
TY - UNPB
TI - Three-Phase Unbalance Mitigation via DSO-FRA Coordination: A GNB-Based Chance-Constrained Model Considering PV Uncertainty
AU - Qun Zhou
AU - Jiale Guo
AU - Jing Huang
AU - Minrui Leng
AU - Xueshan Liu
AU - Chenjia Gu
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2609.14461
UR - https://arxiv.org/abs/2609.14461
AB - Although flexible resource aggregators (FRAs), represented by electric vehicle aggregators (EVAs) and load aggregators (LAs), possess inherent flexibility to mitigate three-phase unbalance, the key challenge lies in how to effectively incentivize them to actively participate in unbalance mitigation. To address this, this paper proposes a generalized Nash bargaining (GNB)-based chance-constrained coordinated operation model for the distribution system operator (DSO) and FRAs. In this framework, the DSO and FRAs cooperate to mitigate three-phase unbalance, where FRAs provide flexibility to reduce the DSO's unbalance mitigation costs, and the DSO offers economic incentives to FRAs in return. Bargaining power is tailored according to each participant's contribution to unbalance mitigation to ensure fair profit allocation. Moreover, a scenario-based chance-constrained formulation is integrated to handle photovoltaic (PV) output uncertainties. To solve the model, a distributed proximal decomposition algorithm (PDA) is introduced for the independent model, while the coordinated model is decomposed into a social welfare maximization subproblem and a payment bargaining subproblem, with an improved bilinear Benders decomposition algorithm developed to solve the former. Numerical results validate the effectiveness of the proposed method in mitigating unbalance, ensuring fair profit distribution, and enhancing robustness against uncertainties.
ER -