A Hierarchical OPF Algorithm with Improved Gradient Evaluation in Three-Phase Networks

Liang, Heng; Zhou, Xinyang; Zhao, Changhong

doi:10.1109/TCNS.2024.3425633

A Hierarchical OPF Algorithm with Improved Gradient Evaluation in Three-Phase Networks

Journal Article · Tue Jul 09 04:00:00 EDT 2024 · IEEE Transactions on Control of Network Systems

DOI:https://doi.org/10.1109/TCNS.2024.3425633· OSTI ID:2417624

Liang, Heng; Zhou, Xinyang; Zhao, Changhong

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient algorithms converge to solutions with voltage violation. In this paper, we improve a recent hierarchical OPF algorithm that rested on primal-dual gradients evaluated with a linearized distribution power flow model. Specifically, we propose a more accurate gradient evaluation method based on an unbalanced three-phase nonlinear distribution power flow model to mitigate the errors arising from linearization. The resultant gradients feature a blocked structure that enables our development of an improved hierarchical primal-dual algorithm to solve the OPF problem. Numerical results on the IEEE 123-bus test feeder and a 4,518-node test feeder show that the proposed method can enhance voltage safety at comparable computational efficiency with the linearized algorithm.

Research Organization:: National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Sponsoring Organization:: USDOE National Renewable Energy Laboratory (NREL), Laboratory Directed Research and Development (LDRD) Program

DOE Contract Number:: AC36-08GO28308

OSTI ID:: 2417624

Report Number(s):: NREL/JA-5D00-90729; MainId:92507; UUID:e7a2ab55-6eb2-4846-aba1-03884921a120; MainAdminId:73265

Journal Information:: IEEE Transactions on Control of Network Systems, Journal Name: IEEE Transactions on Control of Network Systems Journal Issue: 1 Vol. 12

Country of Publication:: United States

Language:: English

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