Časovno spreminjanje položaja središča zgornjega roba hladilnega stolpa s pomočjo obodnih merskih točk

Budna, Aleš (author), Vulić, Milivoj (mentor)

V času izgradnje hladilnega stolpa bloka 6 Termoelektrarne Šoštanj smo za potrebe nadzora spremljali stabilnost obstoječih objektov. V ta namen se je vzpostavila merska mreža samodejnega monitoringa na hladilnem stolpu bloka 4 (TEŠ 4). Tri opazovalne GNSS točke na vrhu zgornjega oboda hladilnega stolpa nam dajejo nabor podatkov (meritev) v določenem časovnem intervalu. V opazovalnem obdobju med septembrom 2010 in oktobrom 2013 smo spremljali 36 meritev, tj. vsako prvo meritev v mesecu. Za izračun centra in radija uporabimo podatke meritev koordinat obodnih točk kot presečišče simetralnih ravnin daljic in osnovne ravnine, izračunanih po zakonitostih projektivne geometrije, za kar uporabimo lastno Excel funkcijo (UDF). Težimo k temu, da bodo natančnosti meritev in s tem povezani izračuni čimbolj natančni, zato poizkušamo meritve opraviti pri enakih (kompleksnih) pogojih in v večkratnih ponovitvah, za kar uporabimo izravnavo po metodi najmanjših kvadratov. Z uporabo analitičnih metod, predvsem zgoraj navedene metode najmanjših kvadratov, bomo analizirali podatke in rezultate obodnih točk, centra in radija. Zanimali nas bodo predvsem: najverjetnejše koordinate točk, ki nam jo predstavlja navadna aritmetična sredina, največji razponi odmikov, standardni odkloni in pa ocena natančnosti. Ti podatki so potrebni za aktivno kontinuirano spremljanje premikov v realnem času in s tem takojšen in učinkovit odziv na stabilnost in varnost grajenih in obstoječih objektov.

• Language: Slovenian
• Keywords: monitoring, projektivna geometrija, center, metoda najmanjših kvadratov
• Work type: Bachelor thesis/paper
• Organization: NTF - Faculty of Natural Sciences and Engineering
• Year: 2017
• PID: 20.500.12556/RUL-92749
• COBISS.SI-ID: 1687391
• Publication date in RUL: 03.07.2017

Secondary language

• Language: English
• Title: Changing the cooling tower's upper edge centre position over time using peripheral measurement points

Abstract

For surveillance purposes, we have been monitoring the stability of existing facilities, during construction of the Unit 6 cooling tower of the thermal power plant Šoštanj. To this end, an automated monitoring network has been established on the Unit 4 cooling tower (TEŠ 4). Three GNSS observation points on top of the upper perimeter of the cooling tower give us a collection of data (measurements) within a specified time interval. 36 initial measurements have been monitored for each month in the period between September 2010 and October 2013. To calculate the center and radius, we use the measured coordinates of peripheral points and compute the intersection of the ground plane with the two bisecting planes, derived from the centerlines of adjacent points and calculated according to the rules of projective geometry, using the Excel UDF. The aim is to have as accurate measurements and related calculations as possible, therefore having them being made in the same (complex) conditions with multiple repetitions, using the least squares method. By using analytical methods, in particular the above-mentioned method of least squares, we will analyze the data and results of peripheral points, the center and the radius. We are primarily interested in: the most probable point coordinates represented by the arithmetic mean, the largest ranges of deviations, standard deviations and an evaluation of accuracy. The data obtained are necessary for the continuous active monitoring of movements in real time and thereby enabling an immediate and effective response to the stability and security of built and existing facilities.

• Keywords: monitoring, projective geometry, center, least squares method