Voltage stability evaluation using modal analysis

The authors discuss the voltage stability analysis of large power systems by using a modal analysis technique. The method computes, using a steady-state system model, a specified number of the smallest eigenvalues and the associated eigenvectors of a reduced Jacobian matrix. The eigenvalues, each of...

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Bibliographic Details
Published in:IEEE transactions on power systems 1992-11, Vol.7 (4), p.1529-1542
Main Authors: Gao, B., Morison, G.K., Kundur, P.
Format: Article
Language:English
Subjects:
240100 - Power Systems- (1990-)
290100 - Energy Planning & Policy- Energy Analysis & Modeling
Applied sciences
CALCULATION METHODS
Disturbances. Regulation. Protection
EIGENVALUES
Eigenvalues and eigenfunctions
ELECTRIC POWER
Electrical engineering. Electrical power engineering
Electrical power engineering
ENERGY PLANNING, POLICY AND ECONOMY
Exact sciences and technology
FUNCTIONS
ITERATIVE METHODS
JACOBIAN FUNCTION
Jacobian matrices
MATRICES
Modal analysis
POWER
Power networks and lines
Power system analysis computing
Power system modeling
Power system stability
POWER SYSTEMS
POWER TRANSMISSION AND DISTRIBUTION
Reactive power
STABILITY
Stability analysis
Steady-state
STEADY-STATE CONDITIONS
Voltage
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Summary:The authors discuss the voltage stability analysis of large power systems by using a modal analysis technique. The method computes, using a steady-state system model, a specified number of the smallest eigenvalues and the associated eigenvectors of a reduced Jacobian matrix. The eigenvalues, each of which is associated with a mode of voltage/reactive power variation, provide a relative measure of proximity to voltage instability. The eigenvectors are used to describe the mode shape and to provide information about the network elements and generators which participate in each mode. A simultaneous iteration method, which is well suited to applications involving large power systems, is used for selective calculation of appropriate eigenvalues. Results obtained using a 3700 bus test system are presented illustrating the applicability of the approach.< >
ISSN:0885-8950
1558-0679
DOI:10.1109/59.207377