Identification of Critical Transmission Limits in Injection Impedance Plane

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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@article{89ff9a47f7214db6a5a6698918cae843,
title = "Identification of Critical Transmission Limits in Injection Impedance Plane",
keywords = "Power Systems, Stability Assessment, Security Assessment",
publisher = "Elsevier Ltd.",
author = "Hjörtur Jóhannsson and Jacob Østergaard and Nielsen, {Arne Hejde}",
year = "2012",
doi = "10.1016/j.ijepes.2012.05.050",
volume = "43",
number = "1",
pages = "433–443",
journal = "International Journal of Electrical Power & Energy Systems",
issn = "0142-0615",

}

RIS

TY - JOUR

T1 - Identification of Critical Transmission Limits in Injection Impedance Plane

A1 - Jóhannsson,Hjörtur

A1 - Østergaard,Jacob

A1 - Nielsen,Arne Hejde

AU - Jóhannsson,Hjörtur

AU - Østergaard,Jacob

AU - Nielsen,Arne Hejde

PB - Elsevier Ltd.

PY - 2012

Y1 - 2012

N2 - In this paper, equations are derived that describe the mapping of critical boundaries and characteristic lines from the three dimensionalPQV-surface into the two-dimensional injection impedance plane (load impedance plane for both positive and negativeresistance). The expressions derived for the critical and characteristic lines in the impedance plane form the basis for a new phasormeasurement based situational awareness method, which uses the results in this paper to identify critical operational boundariesin real time and to visualize the system operating conditions in an informative way. The situational awareness method will bedescribed in a later paper, where this paper focuses on the derivations of some system characteristics in the injection (or load)impedance plane. The critical lines from the PQV-surface that are mapped into the impedance plane are the ones representing theconditions where the partial derivatives of the variables P,Q and V in respect to each other become zero. In addition to the mappingof the critical lines, some characteristic lines are mapped as well. These include the mapping of the lines of constant P,Q,Vand d from the PQV-surface into the impedance plane. All of the mapped critical and characteristic lines appear as circles in the impedance plane.

AB - In this paper, equations are derived that describe the mapping of critical boundaries and characteristic lines from the three dimensionalPQV-surface into the two-dimensional injection impedance plane (load impedance plane for both positive and negativeresistance). The expressions derived for the critical and characteristic lines in the impedance plane form the basis for a new phasormeasurement based situational awareness method, which uses the results in this paper to identify critical operational boundariesin real time and to visualize the system operating conditions in an informative way. The situational awareness method will bedescribed in a later paper, where this paper focuses on the derivations of some system characteristics in the injection (or load)impedance plane. The critical lines from the PQV-surface that are mapped into the impedance plane are the ones representing theconditions where the partial derivatives of the variables P,Q and V in respect to each other become zero. In addition to the mappingof the critical lines, some characteristic lines are mapped as well. These include the mapping of the lines of constant P,Q,Vand d from the PQV-surface into the impedance plane. All of the mapped critical and characteristic lines appear as circles in the impedance plane.

KW - Power Systems

KW - Stability Assessment

KW - Security Assessment

U2 - 10.1016/j.ijepes.2012.05.050

DO - 10.1016/j.ijepes.2012.05.050

JO - International Journal of Electrical Power & Energy Systems

JF - International Journal of Electrical Power & Energy Systems

SN - 0142-0615

IS - 1

VL - 43

SP - 433

EP - 443

ER -