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Riemannian Optimization Applied to AC Optimal Power Flow

Conference ·
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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. They demonstrate that these are viable computational alternatives to interior point methods. This is done by using Julia and the packages PowerModels.jl and Manopt.jl.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE National Renewable Energy Laboratory (NREL), Laboratory Directed Research and Development (LDRD) Program
DOE Contract Number:
AC36-08GO28308
OSTI ID:
2524547
Report Number(s):
NREL/CP-2C00-93506; MainId:95288; UUID:a22c0770-507a-4b50-933f-d8087189f406; MainAdminId:76213
Country of Publication:
United States
Language:
English

References (15)

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Related Subjects

MATHEMATICS AND COMPUTING
POWER TRANSMISSION AND DISTRIBUTION
manifold optimization
nonlinear programming
numerical optimization
optimal power flow