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Title:
DIGRAFI V ELEKTROTEHNIKI
Authors:
ID
Strmšek, Mateja
(
Author
)
ID
Žigert, Petra
(
Mentor
)
More about this mentor...
Files:
UNI_Strmsek_Mateja_2009.pdf
(734,31 KB)
MD5: 63C7FFEADC5CF90AB64D4D7D36DEAD5D
PID:
20.500.12556/dkum/4f3e8bb9-9be9-46a5-92a4-2bb3185ab131
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
V diplomskem delu je predstavljena matematična analiza električnih omrežij s pomočjo digrafov. V uvodnih poglavjih je definiranih nekaj osnovnih pojmov teorije grafov, povezava med digrafi in sistemom algebrskih linearnih enačb ter Kirchhoffova zakona. Vse to potrebujemo za razumevanje nadaljnjih pojmov. V nadaljevanju je zapisana analiza električnih vezij s pomočjo ciklov, ki formulira reševanje sistema algebrskih linearnih enačb. V četrtem poglavju je obrazložena poenostavljena Coatesova formula, ki jo uporabljamo pri reševanju linearnih električnih omrežij. V naslednjem poglavju je opisana metoda S.J. Masona, ki jo uporabimo za reševanje linearnih enačb povezanih z grafi pretoka signalov.
Keywords:
Coatesova formula
,
transformacija Masonovega digrafa
,
digraf pretoka signalov.
Place of publishing:
Maribor
Publisher:
[M. Strmšek]
Year of publishing:
2009
PID:
20.500.12556/DKUM-12434
UDC:
51(043.2)
COBISS.SI-ID:
17283848
NUK URN:
URN:SI:UM:DK:ILKRIW1O
Publication date in DKUM:
23.12.2009
Views:
2541
Downloads:
145
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
DIGRAPHS IN THE ELECTRICAL ENGINEERING
Abstract:
In this diploma work the mathematical analysis of electrical networks with the use of digraphs is presented. In the introductive chapters we have defined some basic notions of the graph theory, the connection between digraphs and algebraic linear equation system and Kirchhoff’s laws. All that is necessary for further understanding… Then the analysis of electrical circuits with the help of cycles is described, which formulates the solving of algebraic linear equation systems. In the fourth chapter we have explained the Coate’s formula which we is used for solving of linear electrical networks. In the next chapter we have described the S.J. Mason's method which is used for solving of linear equations connected with graphs of signal's flow.
Keywords:
Coate's formula
,
transformation of Mason's digraph
,
digraph of signal's flow.
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