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Stroškovna optimizacija nelinearnega programa za delovanje baterijskega hranilnika : magistrsko delo
ID Velkavrh, Nina (Author), ID Žagar, Emil (Mentor) More about this mentor... This link opens in a new window, ID Krese, Blaž (Comentor)

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Abstract
V magistrskem delu se osredotočamo na optimizacijo nelinearnega programa za upravljanje baterijskega hranilnika, ki deluje v kombinaciji s sončno elektrarno. Cilj optimizacije je minimizacija stroškov dobave električne energije. Za namen optimizacije uporabimo dva pristopa. Sprva program preoblikujemo v mešani celoštevilski linearni program in ga rešimo z uporabo algortima CBC. Nato z ohranitvijo izvirne nekonveksne oblike program rešimo z optimizatorjem Ipopt. Osrednji vprašanji našega dela sta, kako transformacija programa vpliva na natančnost rezultata in, ali je optimizacija izvirne oblike in uporaba časovno potratnejših algoritmov upravičena. Rezultati so pokazali, da algoritem CBC dosega rezultate, ki se po vrednosti ciljne funkcije zelo približajo rezultatu reševanja programa v izvirni obliki, čas optimizacije pa je precej krajši. Kljub primerljivim vrednostim ciljne funkcije se rezultati obeh pristopov razlikujejo, saj transformirana oblika programa privede do rezultatov na robu dopustnega območja, medtem ko rešitve z algoritmom Ipopt ostajajo znotraj tega območja. Ob koncu okolico obeh rezultatov raziščemo z algoritmom Tabu iskanja s katerim potrdimo, da v raziskani okolici ni rezultata, ki bi bistveno izboljšal ciljno funkcijo.

Language:Slovenian
Keywords:nelinearni program, optimizacija, baterijski hranilnik, strošek dobave
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2025
PID:20.500.12556/RUL-170220 This link opens in a new window
UDC:519.6
COBISS.SI-ID:239152131 This link opens in a new window
Publication date in RUL:02.07.2025
Views:286
Downloads:66
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Secondary language

Language:English
Title:Cost optimization of nonlinear program of battery storage system
Abstract:
In this master’s thesis, we focus on the optimization of a non-linear program for the optimal operation of a battery storage system that is integrated with solar power plant. Aim of the optimization is to minimize the cost of electricity supply. optimizations are achieved using two approaches. Initially, we transform the program into a mixed integer linear program and solve it using the CBC algorithm. Then we solve the program using the interior point algorithm - Ipopt - while preserving the original non-convex form. The key concerns of this work are the effect of program transformation on the accuracy of the result and whether the optimization of the original form and the use of more time-consuming algorithms is reasonable. It has been shown that an algorithm CBC provides results with objective function values very close to the result obtained by solving the program in its original form, yet the optimization time is considerably shorter. However, although the objective function values are comparable, the two approaches yield different results, since the transformed form of the program tends to achieve results at the edge of the solution space, while the solutions of Ipopt remain within this range. Lastly, using the Tabu search algorithm, the neighborhood of both results is examined to confirm that there are no other results in the neighborhood that would result in a significantly improved objective function.

Keywords:non-linear programming, optimization, battery energy storage system, supply cost

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