Convex polar second-order Taylor approximation of AC optimal power flows

Šepetanc, Karlo

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doctoral thesis

Convex polar second-order Taylor approximation of AC optimal power flows

Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2023. urn:nbn:hr:168:964469

Šepetanc, Karlo

University of Zagreb
Faculty of Electrical Engineering and Computing
Department of Energy and Power Systems

Cite this document

APA 6th Edition

Šepetanc, K. (2023). Convex polar second-order Taylor approximation of AC optimal power flows (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:964469

MLA 8th Edition

Šepetanc, Karlo. "Convex polar second-order Taylor approximation of AC optimal power flows." Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2023. https://urn.nsk.hr/urn:nbn:hr:168:964469

Chicago 17th Edition

Harvard

Šepetanc, K. (2023). 'Convex polar second-order Taylor approximation of AC optimal power flows', Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 21 January 2025, https://urn.nsk.hr/urn:nbn:hr:168:964469

Vancouver

Šepetanc K. Convex polar second-order Taylor approximation of AC optimal power flows [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2023 [cited 2025 January 21] Available at: https://urn.nsk.hr/urn:nbn:hr:168:964469

IEEE

K. Šepetanc, "Convex polar second-order Taylor approximation of AC optimal power flows", Doctoral thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:168:964469

Cite this item: https://urn.nsk.hr/urn:nbn:hr:168:964469

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Metadata

Title	Convex polar second-order Taylor approximation of AC optimal power flows
Title (croatian)	Konveksna polarna aproksimacija optimalnih izmjeničnih tokova snaga Taylorovim polinomom drugoga reda
Author	Karlo Šepetanc MBZ: 382166
Mentor	Hrvoje Pandžić (mentor)
Committee member	Tomislav Capuder (predsjednik povjerenstva)
Committee member	Minea Skok (član povjerenstva)
Committee member	Juan Miguel Morales Gonzalez (član povjerenstva) VIAF: 303155284785887061507
Granter	University of Zagreb Faculty of Electrical Engineering and Computing (Department of Energy and Power Systems) Zagreb
Defense date and country	2023-05-04, Croatia
Scientific / art field, discipline and subdiscipline	TECHNICAL SCIENCES Electrical Engineering Power Engineering
Universal decimal classification (UDC)	621.3 - Electrical engineering
Abstract	The dissertation aims to improve numerical tractability of two optimization problem categories: transmission system AC optimal power flows as stand-alone optimization and bilevel optimization problems with AC transmission network constrained market clearing in the lower level. The developed optimal power flow formulation is based on a convex approximation of Taylor expansion, as opposed to nonconvex exact formulations. Convex form is relevant for power system operation models as modern convex solvers generally handle binary variables more efficiently than nonconvex or general nonlinear solvers. The emphasis on achieving great accuracy, sufficiently close to the exact models to be used as substitution in practical cases. To achieve it, it uses the developed presolve that aims to eliminate relaxation errors. The applicability of the developed optimal power flow approach is verified on a unit commitment problem and a transmission system expansion problem. The results demonstrate faster computation times than the exact nonconvex formulation and greater accuracy than the existing convex quadratically constrained quadratic or second-order cone formulations with similar computation times. The presented convex optimal power flow formulations are used as a foundation for bilevel market participation modeling using single-level reduction solution techniques. This is highly relevant as the existing single-level reduction techniques do not hold for nonconvex models.
Abstract (croatian)	Cilj disertacije je unaprijediti numeričku izračunljivost dvije kategorije optimizacija: samostalna optimizacija optimalnih tokova snaga prijenosnog izmjeničnog sustava i dvorazinski optimizacijski problemi s čišćenjem tržišta ograničenim izmjeničnom prijenosnom mrežom u donjoj razini. Razvijena formulacija optimalnih tokova snaga temelji se na konveksnoj aproksimaciji Taylorovom ekspanzijom, nasuprot nekonveksnoj točnoj formulaciji. Konveksni oblik je od značaja za modele vođenja elektroenergetskih sustava jer moderni konveksni optimizacijski alati općenito učinkovitije rješavaju binarne varijable nego nekonveksni ili općeniti nelinearni optimizacijski alati. Naglasak je na postizanju velike preciznosti, dovoljno bliske točnim modelima za korištenje u praktičnim primjerima. Da bi se to postiglo, formulacija koristi razvijen pretproračun s ciljem uklanjanja pogreški relaksacija. Primjenjivost razvijenog pristupa optimalnim tokovima snaga je provjerena na problemu voznog reda elektrana i na problemu ekspanzije prijenosnog sustava. Rezultati su kraćih vremena proračuna nego s točnim nekonveksnim formulacijama i s većom preciznosti i približnog vremena proračuna nego postojeće formulacije konveksne kvadratno ograničene kvadratne forme ili forme konusa drugog reda. Prezentirane konveksne formulacije optimalnih tokova snaga upotrjebljene su kao osnova za dvorazinski model sudjelovanja na tržištu koristeći tehnike rješavanja svođenjem na jednu razinu. To je od velike važnosti kako postojeće tehnike svođenja na jednu razinu ne vrijede za nekonveksne modele.
Keywords
Keywords (croatian)
Language	english
URN:NBN	urn:nbn:hr:168:964469
Promotion	2023
Study programme	Title: Doctoral study programme "Electrical Engineering and Computing" Study programme type: university Study level: postgraduate Academic / professional title: doktor/doktorica znanosti, po-dručje tehničkih znanosti (doktor/doktorica znanosti, po-dručje tehničkih znanosti)
Type of resource	Text
Extent	x, 80 str. : graf. prikazi ; 31 cm.
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	FER Repository
Created on	2023-09-19 15:39:46