Table of Contents
Fetching ...

Advancing Distributed AC Optimal Power Flow for Integrated Transmission-Distribution Systems

Xinliang Dai, Junyi Zhai, Yuning Jiang, Yi Guo, Colin N. Jones, Veit Hagenmeyer

TL;DR

This paper tackles privacy-preserving coordination of integrated transmission-distribution (ITD) systems under the nonconvex AC OPF, proposing a refined ALADIN-based distributed solver with a second-order correction (aladincor). By combining affine consensus modeling, selective conic relaxation for distribution subproblems, and a corrective step that offsets linearization errors, the approach achieves local quadratic convergence and robust performance across diverse ITD topologies. Theoretical analysis establishes convergence guarantees, while extensive case studies demonstrate faster convergence, better scalability, and higher accuracy than competing methods, including two-layer DCC and standard ALADIN. The proposed framework enables secure, efficient, and adaptable ITD optimization with minimal data sharing, offering a practical pathway for real-time, privacy-aware power-system operation.

Abstract

This paper introduces a distributed operational solution for coordinating integrated transmission-distribution (ITD) systems regarding data privacy. To tackle the nonconvex challenges of AC optimal power flow (OPF) problems, our research proposes an enhanced version of the Augmented Lagrangian based Alternating Direction Inexact Newton method (ALADIN). This proposed framework incorporates a second-order correction strategy and convexification, thereby enhancing numerical robustness and computational efficiency. The theoretical studies demonstrate that the proposed distributed algorithm operates the ITD systems with a local quadratic convergence guarantee. Extensive simulations on various ITD configurations highlight the superior performance of our distributed approach in terms of convergence speed, computational efficiency, scalability, and adaptability.

Advancing Distributed AC Optimal Power Flow for Integrated Transmission-Distribution Systems

TL;DR

This paper tackles privacy-preserving coordination of integrated transmission-distribution (ITD) systems under the nonconvex AC OPF, proposing a refined ALADIN-based distributed solver with a second-order correction (aladincor). By combining affine consensus modeling, selective conic relaxation for distribution subproblems, and a corrective step that offsets linearization errors, the approach achieves local quadratic convergence and robust performance across diverse ITD topologies. Theoretical analysis establishes convergence guarantees, while extensive case studies demonstrate faster convergence, better scalability, and higher accuracy than competing methods, including two-layer DCC and standard ALADIN. The proposed framework enables secure, efficient, and adaptable ITD optimization with minimal data sharing, offering a practical pathway for real-time, privacy-aware power-system operation.

Abstract

This paper introduces a distributed operational solution for coordinating integrated transmission-distribution (ITD) systems regarding data privacy. To tackle the nonconvex challenges of AC optimal power flow (OPF) problems, our research proposes an enhanced version of the Augmented Lagrangian based Alternating Direction Inexact Newton method (ALADIN). This proposed framework incorporates a second-order correction strategy and convexification, thereby enhancing numerical robustness and computational efficiency. The theoretical studies demonstrate that the proposed distributed algorithm operates the ITD systems with a local quadratic convergence guarantee. Extensive simulations on various ITD configurations highlight the superior performance of our distributed approach in terms of convergence speed, computational efficiency, scalability, and adaptability.
Paper Structure (19 sections, 1 theorem, 33 equations, 8 figures, 3 tables, 1 algorithm)

This paper contains 19 sections, 1 theorem, 33 equations, 8 figures, 3 tables, 1 algorithm.

Key Result

Theorem 1

Let $(z^*,\lambda^*,\kappa^*)$ be a regular kkt point for the problem eq::formulation, let $f$ and $h$ be twice continuously differentiable, and let $\rho \Sigma_\ell$ being sufficiently large for all $\ell\in\mathcal{R}$ so that are satisfied. Additionally, let the Hessian approximation $H_\ell$ be accurate enough so that holds for all $\ell\in\mathcal{R}$. The iterate $(x,\lambda)$ given by Al

Figures (8)

  • Figure 1: Decomposition between transmission and distribution
  • Figure 2: Decomposition between two transmissions
  • Figure 3: Convergence behavior of different algorithms for Case 1
  • Figure 4: Convergence behavior of different algorithms for Case 2
  • Figure 5: Convergence behavior of different algorithms for Case 3
  • ...and 3 more figures

Theorems & Definitions (13)

  • Remark 1
  • Remark 2
  • Remark 3
  • Definition 1: nocedal2006numerical
  • Remark 4
  • Remark 5
  • Remark 6: (Globalization of Algorithm \ref{['alg::aladin']})
  • Remark 7: (Initialization of Algorithm \ref{['alg::aladin']})
  • Remark 8: farivar2013branch
  • Definition 2
  • ...and 3 more