A Dynamic Piecewise Linear Model for DC Transmission Losses in Optimal Scheduling Problems

Author

Santos, Tiago Norbiato Dos ; Diniz, Andre Luiz

Author_Institution

COPPE, Fed. Univ. of Rio de Janeiro, Rio de Janeiro, Brazil

Volume

26

Issue

2

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

508

Lastpage

519

Abstract

This paper proposes a dynamic piecewise linear model to represent dc transmission losses in optimal scheduling problems. An iterative procedure is proposed, where the linear cuts to approximate quadratic losses in each transmission line are adjusted iteratively as the optimization problem is solved. Applications of this approach to the network constrained short-term hydrothermal scheduling problem and to static dc optimal power flow problems yield a higher accuracy in representing line transmission losses as compared to other approaches, such as a priori iterative estimation, static piecewise liner model and successive linear programming. Study cases for a large-scale system also show reasonable results regarding CPU times.

Keywords

DC transmission networks; hydrothermal power systems; iterative methods; load flow; optimisation; piecewise linear techniques; power generation scheduling; power transmission lines; DC transmission loss; dynamic piecewise linear model; iterative procedure; linear programming; optimal scheduling problem; optimization problem; quadratic loss; short-term hydrothermal scheduling problem; static DC optimal power flow problem; Iterative methods; Linear approximation; Load flow; Optimal scheduling; Piecewise linear approximation; Piecewise linear techniques; Power system modeling; Power transmission lines; Propagation losses; Yield estimation; Benders decomposition; dc optimal power flow; linear programming; power generation dispatch; transmission losses;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2010.2057263

Filename

5545500