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Distributed optimal power flow.

¹Department of Electrical and Computer Engineering, United States Naval Academy, Annapolis, Maryland, United States of America.

|June 18, 2021

Summary

This summary is machine-generated.

This study introduces a novel network model and distributed algorithm for scalable optimal power flow (OPF) calculations. The new approach ensures efficient computation and convergence to a local minimum for large-scale power grids.

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Area of Science:

Electrical Engineering
Computer Science
Optimization Theory

Background:

Optimal Power Flow (OPF) problems are computationally intensive due to the "curse of dimensionality," limiting their scalability for large power grids.
Existing distributed computation methods for OPF often increase communication costs to achieve scalability.

Purpose of the Study:

To develop a new network model compatible with distributed computation for efficient OPF.
To construct a full OPF solution in a distributed manner, yielding effective, non-inferior results.
To create a scalable algorithm that guarantees convergence to a local minimum.

Main Methods:

A novel star network model is proposed, connecting all nodes to a central node to manage communication costs.
A nodal distributed algorithm is developed, utilizing direct communication through the center node.
The algorithm's convergence properties are analyzed, demonstrating convergence to a local minimum.

Main Results:

The proposed algorithm successfully finds OPF solutions for various IEEE test systems, matching results from centralized and heuristic methods.
Computational time per node remains independent of system size.
The number of iterations (Niter) shows minimal increase with system size, indicating scalability.

Conclusions:

The proposed star network model facilitates linear information exchange and maintains short node-to-node distances.
The algorithm guarantees convergence to a local minimum, avoiding local maxima or saddle points.
The approach offers a scalable and computationally efficient solution for large-scale OPF problems.