Izračun električnih razdalj v velikih elektroenergetskih omrežjih

SIMOVIĆ, UROŠ (author), Mihalič, Rafael (mentor), Rudež, Urban (comentor)

V diplomskem delu je predstavljena problematika izračuna električnih razdalj v velikih elektroenergetskih omrežjih. Izračun je v osnovi matematično nezahteven, saj električne razdalje lahko dobimo tudi iz inverza vozliščne admitančne matrike, ki pa je pri velikemu številu zbiralk v elektroenergetskem omrežju in s tem dimenzijah same matrike računsko potraten, zato so v diplomskem delu predstavljene tudi možnosti za pospešitev izračuna električnih razdalj. Predstavljeni so modeli elementov elektroenergetskega omrežja, uporabljeni v izračunu, nato primer ročnega izračuna in izračuna električnih razdalj s pomočjo inverza vozliščne admitančne matrike v manjšem elektroenergetskem omrežju s primerjavo rezultatov, kot osrednji del diplome je predstavljen izračun električnih razdalj v velikem elektroenergetskem omrežju, za katerega primer smo vzeli kar elektroenergetsko omrežje sinhronega območja celinske Evrope, ki ga sestavlja približno deset tisoč zbiralk in katerega del je tudi slovensko prenosno omrežje pod okriljem Elektra Slovenije. Na koncu pa je predstavljen pripomoček v obliki spletne aplikacije, ki elektroenergetsko omrežje sinhronega območja celinske Evrope prikaže na zemljevidu in na hiter način omogoča izračun električnih razdalj do poljubno izbrane referenčne zbiralke.

• Language: Slovenian
• Keywords: veliko elektroenergetsko omrežje, električna razdalja, Theveninova impedanca, diagonalni členi inverza redke matrike, zemljevid elektroenergetska omrežja Evrope
• Work type: Undergraduate thesis
• Organization: FE - Faculty of Electrical Engineering
• Year: 2015
• PID: 20.500.12556/RUL-30645
• Publication date in RUL: 12.03.2015

Secondary language

• Language: English
• Title: Calculation of Electrical distances in large electric power networks

Abstract

This thesis presents the problem of calculating electrical distances in large electricity networks. The calculation is essentially not mathematically complex as power distance can also be obtained from the inversion of the nodal admittance matrix, which is, however, due to the large number of busbars in a power network and thus the dimensions of a single matrix, computationally consuming, so the thesis also presents the possibilities of accelerating the calculation of electrical distances. Models of elements of the electricity grid used in the calculation are presented, then an example of a manual calculation and calculation of electrical distances by using the inverse nodal admittance matrix in a small electricity network by comparing the results, whereas as a central part of the diploma thesis the calculation of the electrical distances in a large electricity network is presented, for example of which we have used the electricity grid of a synchronous area of continental Europe, which consists of about ten thousand busbars and a part of which is also the Slovenian transmission network under the auspices of Elektro Slovenija. At the end an aid in the form of a web application is presented, which shows the electricity grid of a synchronous area of continental Europe on the map and in a rapid manner allows the calculation of electrical distances to any selected reference busbar.

• Keywords: large power network, electrical distance, Thévenin's impedance, diagonal elements of sparse matrix inversion, map of electricity networks of Europe