DocumentCode :
3537287
Title :
Alternative approaches to consider DC-power flow with losses in a linear program for short term hydrothermal scheduling
Author :
Santos, T.N. ; Diniz, A.L.
Author_Institution :
Brazilian Electr. Power Res. Center, Rio de Janeiro State Univ., Rio de Janeiro, Brazil
fYear :
2012
fDate :
3-5 Sept. 2012
Firstpage :
1
Lastpage :
6
Abstract :
This paper discusses alternative ways of representing line flow limits constraints and linear approximations for transmission line losses in the short term hydrothermal scheduling problem with a dc model of the electrical network. In the first approach, applied previously by the authors, participation factors for the generations are employed, where in the second approach, proposed in this paper, phase shift angles are represented directly as additional variables of the optimization problem. Although the proposed approach leads to a much higher number of variables for the optimization problem, the sparsity of the line flow and transmission losses expressions as a function of phase angles yields a much smaller number of non-null matrix elements. Numerical results are presented both for an IEEE-118 bus study case and the real Brazilian system with over 4600 buses and 6600 lines, where we show the drastic reduction in CPU time and memory allocation provided by the proposed approach.
Keywords :
approximation theory; hydrothermal power systems; linear programming; load flow; losses; matrix algebra; power generation scheduling; power transmission lines; DC power flow; IEEE 118 bus; electrical network; flow limit constraint; hydrothermal scheduling problem; line flow; linear approximation; linear program; non-null matrix element; optimization; phase shift angle; transmission line loss; Linear approximation; Linear systems; Mathematical model; Optimization; Power transmission lines; Propagation losses; DC optimal power flow; Power generation dispatch; linear programming; transmission losses;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Transmission and Distribution: Latin America Conference and Exposition (T&D-LA), 2012 Sixth IEEE/PES
Conference_Location :
Montevideo
Print_ISBN :
978-1-4673-2672-8
Type :
conf
DOI :
10.1109/TDC-LA.2012.6319113
Filename :
6319113
Link To Document :
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