Efficient Topology Design Algorithms for Power Grid Stability

Bhela, Siddharth; Nagarajan, Harsha; Deka, Deepjyoti; Kekatos, Vassilis

doi:10.1109/lcsys.2021.3088888

Efficient Topology Design Algorithms for Power Grid Stability

Journal Article · Mon Jun 14 00:00:00 EDT 2021 · IEEE Control Systems Letters

DOI:https://doi.org/10.1109/lcsys.2021.3088888· OSTI ID:1998111

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Siemens Technology, Princeton, NJ (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

The dynamic response of power grids to small disturbances influences their overall stability. This letter examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework utilizes H₂ -norm based stability metrics to study the optimal placement of lines on existing networks as well as the topology design of new networks. The design task is first posed as an NP-hard mixed-integer nonlinear program (MINLP) that is exactly reformulated as a mixed-integer linear program (MILP) using McCormick linearization. To improve computation time, graph-theoretic properties are exploited to derive valid inequalities (cuts) and tighten bounds on the continuous optimization variables. Moreover, a cutting plane generation procedure is put forth that is able to interject the MILP solver and augment additional constraints to the problem on-the-fly. Finally, the efficacy of our approach in designing optimal grid topologies is demonstrated through numerical tests on the IEEE 39-bus network.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Electricity (OE); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1998111

Report Number(s):: LA-UR--21-22364

Journal Information:: IEEE Control Systems Letters, Journal Name: IEEE Control Systems Letters Vol. 6; ISSN 2475-1456

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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Efficient Topology Design Algorithms for Power Grid Stability

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