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Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode

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2021
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Vasilić, Željko
Stanić, Miloš
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Abstract
Za potrebe modeliranja mreža pod pritiskom u praksi se najĉešće koristi EPANET softver, globalno priznat kao pouzdan i robustan. EPANET koristi formulaciju osnovnih jednaĉina koje opisuju teĉenje u mrežama pod pritiskom poznatu kao metoda ĉvorova, za ĉije rešavanje se primenjuje metoda globalnog gradijenta (Global Gradient Algorithm – GGA). Alternativna formulacija metodi ĉvorova jeste formulacija metode prstenova (ΔQ metoda). Osnovna prednost formulacije metode prstenova je znaĉajno manji broj nepoznatih veliĉina, što proizilazi iz ĉinjenice da realne mreže imaju znatno manje prstenova nego ĉvorova. Osnovni nedostatak je neophodna identifikacija prstenova u mreži koja nije jednoznaĉna. U ovom radu je predstavljena nova metoda za hidrauliĉki proraĉun mreža pod pritiskom (TRIBAL–ΔQ), zasnovana na novom algoritmu za brzu identifikaciju prstenova u mreži (TRIBAL) i efikasnoj implementaciji ΔQ metode za rešavanje osnovnih jednaĉina sistema. Cilj predstavljene metode je d...a iskoristi oĉigledne prednosti formulacije metode prstenova i prevaziĊe poteškoće procesa identifikacije prstenova postojećih metoda baziranih na istoj formulaciji. TRIBAL–ΔQ metoda je testirana na ĉetiri primera realnih mreža razliĉite topologije i složenosti. Poseban akcenat je dat poreĊenju brzine proraĉuna TRIBAL–ΔQ metode sa GGA metodom implementiranom u EPANET. Rezultati ilustruju da, iako zahteva veći broj iteracija za konvergenciju, nova TRIBAL–ΔQ metoda ostvaruje istu preciznost proraĉuna uz bolju numeriĉku stabilnost sa znaĉajnom uštedom raĉunarskog vremena.

The most popular software for hydraulic analysis of pressurized water distribution networks nowadays is EPANET, globally recognized as reliable and robust. EPANET uses node-based formulation of governing equations and employs Global Gradiet Algorithm (GGA) to solve hydraulics of the network. Alternative formulation to the node-based one is the loop-flow formulation of governing equations, also known as the ΔQ method. Main advantage of the loop-flow formulation is significantly lower number of unknowns to solve for, coming from the fact that real-sized networks typically have far less loops than nodes. Main drawback is the need to identify loops in the network, a task with multiple alternative solutions and proven to be cumbersome. This paper presents new TRIBAL-ΔQ method for hydraulic simulation in pressurized water distribution networks, based on the new algorithm for identification of loops in the network (TRIBAL) and more efficient implementation of loop-flow metho...d for hydraulic simulation (ΔQ). Main goal of presented method is to exploit obvious advantages of the loopflow method and overcome main drawbacks identified in similar researches. TRIBAL-ΔQ method is tested on four networks varying in topology and complexity. Focus of research is on a comparison of computational efficiency of TRIBAL-ΔQ based solver with GGA based solver implemented in EPANET. Results indicate that TRIBAL-ΔQ based solver is significantly computationally faster than GGA based one, equally accurate and has slightly better numerical stability

Keywords:
hydraulic symulation / ΔQ method / hidrauliĉki proraĉun / ΔQ metoda
Source:
Vodoprivreda, 2021, 53, 311-312, 107-118
Publisher:
  • Srpsko društvo za odvodnjavanje i navodnjavanje

ISSN: 0350-0519

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_2499
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2499
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за хидротехнику и водно-еколошко инжењерство
Institution/Community
GraFar
TY  - JOUR
AU  - Vasilić, Željko
AU  - Stanić, Miloš
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2499
AB  - Za potrebe modeliranja mreža pod pritiskom u praksi se
najĉešće koristi EPANET softver, globalno priznat kao
pouzdan i robustan. EPANET koristi formulaciju
osnovnih jednaĉina koje opisuju teĉenje u mrežama pod
pritiskom poznatu kao metoda ĉvorova, za ĉije
rešavanje se primenjuje metoda globalnog gradijenta
(Global Gradient Algorithm – GGA). Alternativna
formulacija metodi ĉvorova jeste formulacija metode
prstenova (ΔQ metoda). Osnovna prednost formulacije
metode prstenova je znaĉajno manji broj nepoznatih
veliĉina, što proizilazi iz ĉinjenice da realne mreže
imaju znatno manje prstenova nego ĉvorova. Osnovni
nedostatak je neophodna identifikacija prstenova u
mreži koja nije jednoznaĉna. U ovom radu je
predstavljena nova metoda za hidrauliĉki proraĉun
mreža pod pritiskom (TRIBAL–ΔQ), zasnovana na
novom algoritmu za brzu identifikaciju prstenova u
mreži (TRIBAL) i efikasnoj implementaciji ΔQ metode
za rešavanje osnovnih jednaĉina sistema. Cilj
predstavljene metode je da iskoristi oĉigledne prednosti
formulacije metode prstenova i prevaziĊe poteškoće
procesa identifikacije prstenova postojećih metoda
baziranih na istoj formulaciji. TRIBAL–ΔQ metoda je
testirana na ĉetiri primera realnih mreža razliĉite
topologije i složenosti. Poseban akcenat je dat poreĊenju
brzine proraĉuna TRIBAL–ΔQ metode sa GGA
metodom implementiranom u EPANET. Rezultati
ilustruju da, iako zahteva veći broj iteracija za
konvergenciju, nova TRIBAL–ΔQ metoda ostvaruje
istu preciznost proraĉuna uz bolju numeriĉku stabilnost
sa znaĉajnom uštedom raĉunarskog vremena.
AB  - The most popular software for hydraulic analysis of
pressurized water distribution networks nowadays is
EPANET, globally recognized as reliable and robust.
EPANET uses node-based formulation of governing
equations and employs Global Gradiet Algorithm
(GGA) to solve hydraulics of the network. Alternative
formulation to the node-based one is the loop-flow
formulation of governing equations, also known as the
ΔQ method. Main advantage of the loop-flow
formulation is significantly lower number of unknowns
to solve for, coming from the fact that real-sized
networks typically have far less loops than nodes. Main
drawback is the need to identify loops in the network, a
task with multiple alternative solutions and proven to be
cumbersome. This paper presents new TRIBAL-ΔQ
method for hydraulic simulation in pressurized water
distribution networks, based on the new algorithm for
identification of loops in the network (TRIBAL) and
more efficient implementation of loop-flow method for
hydraulic simulation (ΔQ). Main goal of presented
method is to exploit obvious advantages of the loopflow method and overcome main drawbacks identified
in similar researches. TRIBAL-ΔQ method is tested on
four networks varying in topology and complexity.
Focus of research is on a comparison of computational
efficiency of TRIBAL-ΔQ based solver with GGA
based solver implemented in EPANET. Results indicate
that TRIBAL-ΔQ based solver is significantly
computationally faster than GGA based one, equally
accurate and has slightly better numerical stability
PB  - Srpsko društvo za odvodnjavanje i navodnjavanje
T2  - Vodoprivreda
T1  - Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode
EP  - 118
IS  - 311-312
SP  - 107
VL  - 53
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2499
ER  - 
@article{
author = "Vasilić, Željko and Stanić, Miloš",
year = "2021",
abstract = "Za potrebe modeliranja mreža pod pritiskom u praksi se
najĉešće koristi EPANET softver, globalno priznat kao
pouzdan i robustan. EPANET koristi formulaciju
osnovnih jednaĉina koje opisuju teĉenje u mrežama pod
pritiskom poznatu kao metoda ĉvorova, za ĉije
rešavanje se primenjuje metoda globalnog gradijenta
(Global Gradient Algorithm – GGA). Alternativna
formulacija metodi ĉvorova jeste formulacija metode
prstenova (ΔQ metoda). Osnovna prednost formulacije
metode prstenova je znaĉajno manji broj nepoznatih
veliĉina, što proizilazi iz ĉinjenice da realne mreže
imaju znatno manje prstenova nego ĉvorova. Osnovni
nedostatak je neophodna identifikacija prstenova u
mreži koja nije jednoznaĉna. U ovom radu je
predstavljena nova metoda za hidrauliĉki proraĉun
mreža pod pritiskom (TRIBAL–ΔQ), zasnovana na
novom algoritmu za brzu identifikaciju prstenova u
mreži (TRIBAL) i efikasnoj implementaciji ΔQ metode
za rešavanje osnovnih jednaĉina sistema. Cilj
predstavljene metode je da iskoristi oĉigledne prednosti
formulacije metode prstenova i prevaziĊe poteškoće
procesa identifikacije prstenova postojećih metoda
baziranih na istoj formulaciji. TRIBAL–ΔQ metoda je
testirana na ĉetiri primera realnih mreža razliĉite
topologije i složenosti. Poseban akcenat je dat poreĊenju
brzine proraĉuna TRIBAL–ΔQ metode sa GGA
metodom implementiranom u EPANET. Rezultati
ilustruju da, iako zahteva veći broj iteracija za
konvergenciju, nova TRIBAL–ΔQ metoda ostvaruje
istu preciznost proraĉuna uz bolju numeriĉku stabilnost
sa znaĉajnom uštedom raĉunarskog vremena., The most popular software for hydraulic analysis of
pressurized water distribution networks nowadays is
EPANET, globally recognized as reliable and robust.
EPANET uses node-based formulation of governing
equations and employs Global Gradiet Algorithm
(GGA) to solve hydraulics of the network. Alternative
formulation to the node-based one is the loop-flow
formulation of governing equations, also known as the
ΔQ method. Main advantage of the loop-flow
formulation is significantly lower number of unknowns
to solve for, coming from the fact that real-sized
networks typically have far less loops than nodes. Main
drawback is the need to identify loops in the network, a
task with multiple alternative solutions and proven to be
cumbersome. This paper presents new TRIBAL-ΔQ
method for hydraulic simulation in pressurized water
distribution networks, based on the new algorithm for
identification of loops in the network (TRIBAL) and
more efficient implementation of loop-flow method for
hydraulic simulation (ΔQ). Main goal of presented
method is to exploit obvious advantages of the loopflow method and overcome main drawbacks identified
in similar researches. TRIBAL-ΔQ method is tested on
four networks varying in topology and complexity.
Focus of research is on a comparison of computational
efficiency of TRIBAL-ΔQ based solver with GGA
based solver implemented in EPANET. Results indicate
that TRIBAL-ΔQ based solver is significantly
computationally faster than GGA based one, equally
accurate and has slightly better numerical stability",
publisher = "Srpsko društvo za odvodnjavanje i navodnjavanje",
journal = "Vodoprivreda",
title = "Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode",
pages = "118-107",
number = "311-312",
volume = "53",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2499"
}
Vasilić, Ž.,& Stanić, M.. (2021). Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode. in Vodoprivreda
Srpsko društvo za odvodnjavanje i navodnjavanje., 53(311-312), 107-118.
https://hdl.handle.net/21.15107/rcub_grafar_2499
Vasilić Ž, Stanić M. Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode. in Vodoprivreda. 2021;53(311-312):107-118.
https://hdl.handle.net/21.15107/rcub_grafar_2499 .
Vasilić, Željko, Stanić, Miloš, "Hidraulički proračun mreža pod pritiskom primenom TRIBAL-∆Q metode" in Vodoprivreda, 53, no. 311-312 (2021):107-118,
https://hdl.handle.net/21.15107/rcub_grafar_2499 .

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