Adaptive Power Flow Approximations With Second-Order Sensitivity Insights

Buason, Paprapee; Misra, Sidhant; Watson, Jean-Paul; Molzahn, Daniel K.

doi:10.1109/tpwrs.2024.3499899

Adaptive Power Flow Approximations With Second-Order Sensitivity Insights

Journal Article · Mon Nov 18 00:00:00 EST 2024 · IEEE Transactions on Power Systems

DOI:https://doi.org/10.1109/tpwrs.2024.3499899· OSTI ID:2478648

^[1]; ^[1]; Watson, Jean-Paul ^[2]; ^[3]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Georgia Institute of Technology, Atlanta, GA (United States)

The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidable obstacles in problem-solving processes. To mitigate these challenges, recent research has proposed adaptive power flow linearizations that aim to achieve accuracy over wide operating ranges. The accuracy of these approximations inherently depends on the curvature of the power flow equations within these ranges, which necessitates considering second-order sensitivities. In this paper, we leverage second-order sensitivities to both analyze and improve power flow approximations. We evaluate the curvature across broad operational ranges and subsequently utilize this information to inform the computation of various sample-based power flow approximation techniques. Additionally, we leverage second-order sensitivities to guide the development of rational approximations that yield linear constraints in optimization problems. In conclusion, this approach is extended to enhance accuracy beyond the limitations of linear functions across varied operational scenarios.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2478648

Report Number(s):: LA-UR--24-22964

Journal Information:: IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 3 Vol. 40; ISSN 0885-8950

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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Adaptive Power Flow Approximations With Second-Order Sensitivity Insights

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