Non-Iterative Method to Determine Static Stability Boundaries

Static voltage and angle stability conditions are often associated with singularities of the power flow Jacobian (Saddle Node Bifurcations - SNB). This paper presents an idea of a new method based on SNB conditions written in Cartesian coordinates. These coordinates used instead of the polar coordin...

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Hauptverfasser: Makarov, Y.V., Jian Ma, Zhao Yang Dong
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Jian Ma
Zhao Yang Dong
description Static voltage and angle stability conditions are often associated with singularities of the power flow Jacobian (Saddle Node Bifurcations - SNB). This paper presents an idea of a new method based on SNB conditions written in Cartesian coordinates. These coordinates used instead of the polar coordinates allow non-iterative locating power flow SNB points. A singularity problem is formulated as a linear set of equations. The singular value decomposition is used to find its solutions. The new method allows quick exploration of the static stability boundary in real-time security assessment applications. This paper outlines some very promising initial results for two power systems.
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subjects Bifurcation
Equations
Jacobian matrices
Load flow
Power flow
Power system dynamics
Power system security
Power system stability
saddle node bifurcation
Stability analysis
State-space methods
static voltage and angle stability
Voltage
wide area security assessment
title Non-Iterative Method to Determine Static Stability Boundaries
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