diplomová práce

Matematická optimalizace solárního fotovoltaického systému pro rodinný dům

Text práce 11.18 MB

Autor práce: Sheikh Omar Bah

Ak. rok: 2019/2020

Vedoucí: doc. Ing. Pavel Charvát, Ph.D.

Oponent: Ing. Tomáš Mauder, Ph.D.


This paper presents a mathematical sizing algorithms of a grid-connected photovoltaic-battery system for a residential
house. The objective is to minimize the total storage capacity with cost of electricity. The proposed methodology
is based on a Linear and Non-linear programming.
We have presents results from a existing PV panel FS-4115-3  for the given climatic conditions and the electricity use profile.
Measurements for whole household electricity consumption have been obtained over a period of two months. They were all obtained at one hour interval. The algorithm jointly optimizes the sizes of the photovoltaic and the battery systems by adjusting the battery charge and discharge cycles according to the availability of solar resource and a time-of-use tariff structure for electricity. The results show that jointly optimizing the sizing of battery and photovoltaic systems can significantly reduce electricity imports and the cost of electricity for the

Klíčová slova:

Mathematical Optimization, Solar Photovoltaic, Battery storage system, Linear programming and Non linear Programming

Termín obhajoby


Výsledek obhajoby

obhájeno (práce byla úspěšně obhájena)




Průběh obhajoby

Student presented his Master's thesis. The verbal and overall classifications of supervisor and reviewer were read. The reviewer asked 3 questions and the student had prepared slides with answers to the questions. The state exam committee had additional questions: Prof. Šlapal asked for an additional explanation why the graphs 25 and 27 are different and student presented data in Excel. Prof. Druckmüller asked for a description of formula (4.11) on page 36, which is written vice-versa and therefore it is bad. Prof. Šlapal asked the student to shortly describe the results of the thesis by own words.

Jazyk práce




Studijní obor

Matematické inženýrství (M-MAI)

Složení komise

prof. RNDr. Josef Šlapal, CSc. (předseda)
prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda)
doc. Ing. Luděk Nechvátal, Ph.D. (člen)
doc. RNDr. Jiří Tomáš, Dr. (člen)
doc. Ing. Jiří Šremr, Ph.D. (člen)
Assoc. Prof. Massimiliano Giuli (člen)

Sheikh Omar Bah showed a genuine interest in the topic of his master’s thesis. From the beginning, he was enthusiastically getting familiar with the concepts of solar photovoltaics (PV) systems comprising battery storage and he intensively studied mathematical models of the system components (PV modules, batteries, invertors, etc.). Certain problems occurred when he tried to use the models in mathematical optimization of the PV system. Some models were too detailed to be used in mathematical optimization without adopting metaheuristic optimization methods. An alternative approach of using time series of the performance data was chosen instead. Nonetheless, this led to other problems as the time series had too many data points to be easily handled by optimization tools. As the deadline for the completion of master’s thesis approached, Sheikh Omar Bah had to further simplify the optimization task to be able to complete his master´s thesis in time. The simplification of the optimization task decreased the relevance of the results. The time pressure, under which the master’s thesis was written, had a negative effect on the overall quality of the thesis.
Kritérium hodnocení
Splnění požadavků a cílů zadání
Postup a rozsah řešení, adekvátnost použitých metod
Vlastní přínos a originalita
Schopnost interpretovat dosažené výsledky a vyvozovat z nich závěry
Využitelnost výsledků v praxi nebo teorii
Logické uspořádání práce a formální náležitosti
Grafická, stylistická úprava a pravopis
Práce s literaturou včetně citací
Samostatnost studenta při zpracování tématu

Známka navržená vedoucím: D

The master thesis aim to develop optimization model of a solar photovoltaic system. The thesis has six section including introduction and conclusion. The aim of thesis is relevant, because nowadays is strong effort in EU to reduce the ecological footprint.

The level of English is poor with many grammatical errors. In some cases is very hard to understand some authors statements.

Graphical style is terrible. Most of figures should be placed in better quality (see fig. 1, 3, 4, 5 etc.). In some cases, figures and equations overflow the edges of paper (see eq. 4.5, fig. 20). Many figures are just included in the thesis, but they are not commented nor described in text (e.g. Figures 1-5, 8-10, 17, 20, 26-27, 29, 31).

The work with literature here is little chaotic. The literature should be indexed based on first author name or based on occurrence in text.

In addition, the mathematical part of work is poor. In section 2.6 Modeling, there is no mathematical background. How the model is mathematically describe? Is Eq. (4.1) on page 29 an objective function? I do not think so. This kind of work where optimization and mathematical models are presented requires a proper mathematical description. The style of equation writing is not consistent.  

Some thesis goals are not fulfilled (island operation, year-round operation) and the overall quality of the thesis is low. The results from chapter 5 are not trustable to me. From my personal impression, I feel that it is more look like bachelor than diploma thesis.

I recommend the thesis for defence, but I have a lot of doubt about it due to the mentioned serious issues.
Kritérium hodnocení Známka
Splnění požadavků a cílů zadání E
Postup a rozsah řešení, adekvátnost použitých metod D
Vlastní přínos a originalita D
Schopnost interpretovat dosaž. výsledky a vyvozovat z nich závěry E
Využitelnost výsledků v praxi nebo teorii E
Logické uspořádání práce a formální náležitosti F
Grafická, stylistická úprava a pravopis F
Práce s literaturou včetně citací D

Známka navržená oponentem: E