Power system steady-state stability and the load-flow jacobian

P. W. Sauer; M. A. Pai

doi:10.1109/59.99389

Power system steady-state stability and the load-flow jacobian

P. W. Sauer, M. A. Pai

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

Abstract

This paper presents the relationship between a detailed power system dynamic model and a standard loadflow model. The linearized dynamic model is examined to show how the load-flow Jacobian appears in the system dynamic state Jacobian for evaluating steady-state stability. Two special cases are given for the situation when singularity of the load-flow Jacobian implies singularity of the system dynamic state Jacobian.

Original language	English (US)
Pages (from-to)	1374-1383
Number of pages	10
Journal	IEEE Transactions on Power Systems
Volume	5
Issue number	4
DOIs	https://doi.org/10.1109/59.99389
State	Published - Nov 1990
Externally published	Yes

Keywords

Steady-state stability
load-flow Jacobian
power
system dynamics

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

Online availability

10.1109/59.99389

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title = "Power system steady-state stability and the load-flow jacobian",

abstract = "This paper presents the relationship between a detailed power system dynamic model and a standard loadflow model. The linearized dynamic model is examined to show how the load-flow Jacobian appears in the system dynamic state Jacobian for evaluating steady-state stability. Two special cases are given for the situation when singularity of the load-flow Jacobian implies singularity of the system dynamic state Jacobian.",

keywords = "Steady-state stability, load-flow Jacobian, power, system dynamics",

author = "Sauer, {P. W.} and Pai, {M. A.}",

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year = "1990",

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N2 - This paper presents the relationship between a detailed power system dynamic model and a standard loadflow model. The linearized dynamic model is examined to show how the load-flow Jacobian appears in the system dynamic state Jacobian for evaluating steady-state stability. Two special cases are given for the situation when singularity of the load-flow Jacobian implies singularity of the system dynamic state Jacobian.

AB - This paper presents the relationship between a detailed power system dynamic model and a standard loadflow model. The linearized dynamic model is examined to show how the load-flow Jacobian appears in the system dynamic state Jacobian for evaluating steady-state stability. Two special cases are given for the situation when singularity of the load-flow Jacobian implies singularity of the system dynamic state Jacobian.

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KW - power

KW - system dynamics

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Power system steady-state stability and the load-flow jacobian

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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