A Hierarchical OPF Algorithm with Improved Gradient Evaluation in Three-Phase Networks
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AbstractLinear 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.
Acceptance Date09/07/2024
All Author(s) ListHeng Liang, Xinyang Zhou, Changhong Zhao
Journal nameIEEE Transactions on Control of Network Systems
Year2024
PublisherIEEE
ISSN2325-5870
LanguagesEnglish-United States
