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DOE OSTI · 2338105

Exploiting Power Flow Manifold to Solve AC Optimal Power Flow

Maack, Jonathan (ORCID:0000000304325753)·Sigler, Devon·Goodwin, Ariel
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Abstract

AC optimal power flow has proven difficult to solve with interior point methods on GPUs. This is largely due to challenging linear algebra problems that current state of the art massively parallel linear solvers struggle with. However, the advent of Riemannian optimization techniques and the fact that the power flow equations form a smooth manifold present an alternative approach. In this talk, we present the basics of Riemannian optimization techniques in which optimization is done directly on a manifold. Then we present computational results showing that Riemannian techniques are capable of producing solutions of comparable quality as interior point methods.

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AC optimal power flowmanifold optimizationMATHEMATICS AND COMPUTING,POWER TRANSMISSION AND DISTRIBUTIONnonlinear optimizationoptimal power flowRiemannian optimization

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Maack, Jonathan (ORCID:0000000304325753), Sigler, Devon, Goodwin, Ariel. 2024-04-12. Exploiting Power Flow Manifold to Solve AC Optimal Power Flow. https://www.osti.gov/biblio/2338105

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DOE OSTI2024

Riemannian Optimization Applied to AC Optimal Power Flow

The nonlinear, nonconvex AC optimal power flow problem is of growing importance as the nature of the power grid evolves. This problem can be difficult to solve for interior point methods. However, the advent of optimization algorithms over smooth Riemannian manifolds presents an alternative approach. The nonlinear, nonconvex constraints in the AC power flow problem form an embedded submanifold of Euclidean space. In this paper, the authors explore the performance of Riemannian optimization algorithms for the ACOPF problem where the optimization is performed directly on the AC power flow manifold. This is done by using the Julia programming language and the Julia packages PowerModels.jl and Manopt.jl.

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