Approximate Representation of ZIP Loads in a Semidefinite Relaxation of the OPF Problem

Author

Molzahn, D.K. ; Lesieutre, Bernard C. ; DeMarco, Christopher L.

Author_Institution

Univ. of Michigan, Ann Arbor, MI, USA

Volume

29

Issue

4

fYear

2014

fDate

Jul-14

Firstpage

1864

Lastpage

1865

Abstract

Recent research has applied semidefinite programming (SDP) to the optimal power flow (OPF) problem. Extending SDP formulations to include the ZIP load model, which consists of constant impedance, constant current, and constant power components, is necessary for many practical problems. Existing SDP formulations consider constant power components and can be easily extended to incorporate constant impedance components. With linear dependence on voltage magnitude, constant current components are not trivially formulated in a manner amenable to SDP. This letter details an approximate representation of ZIP loads in an SDP relaxation of the OPF problem.

Keywords

load flow; mathematical programming; power systems; OPF problem; SDP formulations; ZIP load model; approximate representation; constant current components; constant impedance components; optimal power flow problem; power components; power system; semidefinite programming; semidefinite relaxation; voltage magnitude; Approximation methods; Impedance; Load modeling; Mathematical model; Polynomials; Power demand; Programming; Semidefinite programming; ZIP load model;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2013.2295167

Filename

6695793