Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow

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OriginalspracheEnglisch
Titel des SammelwerksProceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020
ErscheinungsortLos Alamitos, CA, USA
Herausgeber (Verlag)IEEE Computer Society
Seiten261-266
Seitenumfang6
ISBN (elektronisch)9781728185507
PublikationsstatusVeröffentlicht - 2020

Abstract

In comparison to state of the art relaxation and approximation approaches an enhanced convexificated quadratic approximation for the Security Constrained Optimal Power Flow (SCOPF) is reasoned and derived. The detailed graphic interpretations have a focus on convexity and accuracy. First, variables are divided into different types and nonlinear equality constraints of the SCOPF are eliminated by implementing a distributed slack. Second, the nonconvex parts of the resulting quadratically approximated functions are identified by eigenvalue analysis and convexificated with piecewise linearizations. Additionally new algorithms for fast calculation of the required Hessians are derived.

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Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow. / Leveringhaus, T.; Hofmann, L.
Proceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020. Los Alamitos, CA, USA: IEEE Computer Society, 2020. S. 261-266 9364447.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Leveringhaus, T & Hofmann, L 2020, Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow. in Proceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020., 9364447, IEEE Computer Society, Los Alamitos, CA, USA, S. 261-266. https://doi.org/10.1109/sges51519.2020.00053
Leveringhaus, T., & Hofmann, L. (2020). Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow. In Proceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020 (S. 261-266). Artikel 9364447 IEEE Computer Society. https://doi.org/10.1109/sges51519.2020.00053
Leveringhaus T, Hofmann L. Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow. in Proceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020. Los Alamitos, CA, USA: IEEE Computer Society. 2020. S. 261-266. 9364447 doi: 10.1109/sges51519.2020.00053
Leveringhaus, T. ; Hofmann, L. / Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow. Proceedings - 2020 International Conference on Smart Grids and Energy Systems, SGES 2020. Los Alamitos, CA, USA : IEEE Computer Society, 2020. S. 261-266
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