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

Liang Heng

doi:10.1109/TCNS.2024.3425633

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

2024-01-01

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DOI：10.1109/TCNS.2024.3425633

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Linear approximation commonly used in solving ac optimal power flow (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 violations. In this article, 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 4518-node test feeder show that the proposed method can enhance voltage safety at comparable computational efficiency with the linearized algorithm.

Keyword:

Load flow

Approximation algorithms

Vectors

Network systems

Control systems

Computational modeling

Voltage control

Distributed algorithm

optimal power flow (OPF)

unbalanced three-phase networks

voltage control

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

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