Voltage stability indices for stressed power systems

P. A. Löf; G. Andersson; D. J. Hill

doi:10.1109/59.221224

Voltage stability indices for stressed power systems

P. A. Löf, G. Andersson, D. J. Hill

Research output: Contribution to journal › Article › Research › peer-review

324 Citations (Scopus)

Abstract

This paper presents and discusses the use of static voltage stability indices based on a singular value decomposition of the power flow Jacobian matrix and matrices derived from the Jacobian matrix. It is shown that such indices, together with the singular vectors, contain substantial and important information about the proximity to voltage instability and also about critical buses and disturbances from a voltage instability point of view. This is done by a theoretical analysis of the linearized power flow equations and an analysis from model power systems as well as realistic power systems (1033 nodes). It is argued that indices based on these matrices are useful for the system analyst in planning and operations planning.

Original language	English
Pages (from-to)	326-335
Number of pages	10
Journal	IEEE Transactions on Power Systems
Volume	8
Issue number	1
DOIs	https://doi.org/10.1109/59.221224
Publication status	Published - Feb 1993
Externally published	Yes

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title = "Voltage stability indices for stressed power systems",

abstract = "This paper presents and discusses the use of static voltage stability indices based on a singular value decomposition of the power flow Jacobian matrix and matrices derived from the Jacobian matrix. It is shown that such indices, together with the singular vectors, contain substantial and important information about the proximity to voltage instability and also about critical buses and disturbances from a voltage instability point of view. This is done by a theoretical analysis of the linearized power flow equations and an analysis from model power systems as well as realistic power systems (1033 nodes). It is argued that indices based on these matrices are useful for the system analyst in planning and operations planning.",

author = "L{\"o}f, {P. A.} and G. Andersson and Hill, {D. J.}",

note = "Funding Information: The authors gratefully acknowledges the financial support for this project provided by Vattenfall (Swedish State Power Board) as well as allowance to use the power flow calculation program REN developed by Vattenfall.",

year = "1993",

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AU - Löf, P. A.

AU - Andersson, G.

AU - Hill, D. J.

N1 - Funding Information: The authors gratefully acknowledges the financial support for this project provided by Vattenfall (Swedish State Power Board) as well as allowance to use the power flow calculation program REN developed by Vattenfall.

PY - 1993/2

Y1 - 1993/2

N2 - This paper presents and discusses the use of static voltage stability indices based on a singular value decomposition of the power flow Jacobian matrix and matrices derived from the Jacobian matrix. It is shown that such indices, together with the singular vectors, contain substantial and important information about the proximity to voltage instability and also about critical buses and disturbances from a voltage instability point of view. This is done by a theoretical analysis of the linearized power flow equations and an analysis from model power systems as well as realistic power systems (1033 nodes). It is argued that indices based on these matrices are useful for the system analyst in planning and operations planning.

AB - This paper presents and discusses the use of static voltage stability indices based on a singular value decomposition of the power flow Jacobian matrix and matrices derived from the Jacobian matrix. It is shown that such indices, together with the singular vectors, contain substantial and important information about the proximity to voltage instability and also about critical buses and disturbances from a voltage instability point of view. This is done by a theoretical analysis of the linearized power flow equations and an analysis from model power systems as well as realistic power systems (1033 nodes). It is argued that indices based on these matrices are useful for the system analyst in planning and operations planning.

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JO - IEEE Transactions on Power Systems

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Voltage stability indices for stressed power systems

Abstract

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