Fast calculation of a voltage stability index
Abstract
The minimum singular value of the power flow Jacobian matrix has been used as a static voltage stability index, indicating the distance between the studied operating point and the steady state voltage stability limit. In this paper a fast method to calculate the minimum singular value and the corresponding (left and right) singular vectors is presented. The main advantages of the developed algorithm are the small amount of computation time needed, and that it only requires information available from an ordinary program for power flow calculations. Furthermore, the proposed method fully utilizes the sparsity of the power flow Jacobian matrix and hence the memory requirements for the computation are low. These advantages are preserved when applied to various submatrices of the Jacobian matrix, which can be useful in constructing special voltage stability indices. The developed algorithm was applied to small test systems as well as to a large (real size) system with over 1000 nodes, with satisfactory results.
 Authors:
 (Dept. of Electric Power Systems, Royal Inst. of Technology, S100 44 Stockholm (SE))
 (Dept. of Electrical Engineering and Computer Science, Univ. of Newcastle, New South Wales 2308 (AU))
 Publication Date:
 OSTI Identifier:
 5402740
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States); Journal Volume: 7:1
 Country of Publication:
 United States
 Language:
 English
 Subject:
 24 POWER TRANSMISSION AND DISTRIBUTION; ELECTRIC POTENTIAL; STABILITY; POWER SYSTEMS; ALGORITHMS; COMPUTER CALCULATIONS; ELECTRIC POWER; JACOBIAN FUNCTION; POWER TRANSMISSION; FUNCTIONS; MATHEMATICAL LOGIC; POWER; 240100*  Power Systems (1990)
Citation Formats
Loef, P.A., Smed, T., Andersson, G., and Hill, D.J.. Fast calculation of a voltage stability index. United States: N. p., 1992.
Web. doi:10.1109/59.141687.
Loef, P.A., Smed, T., Andersson, G., & Hill, D.J.. Fast calculation of a voltage stability index. United States. doi:10.1109/59.141687.
Loef, P.A., Smed, T., Andersson, G., and Hill, D.J.. 1992.
"Fast calculation of a voltage stability index". United States.
doi:10.1109/59.141687.
@article{osti_5402740,
title = {Fast calculation of a voltage stability index},
author = {Loef, P.A. and Smed, T. and Andersson, G. and Hill, D.J.},
abstractNote = {The minimum singular value of the power flow Jacobian matrix has been used as a static voltage stability index, indicating the distance between the studied operating point and the steady state voltage stability limit. In this paper a fast method to calculate the minimum singular value and the corresponding (left and right) singular vectors is presented. The main advantages of the developed algorithm are the small amount of computation time needed, and that it only requires information available from an ordinary program for power flow calculations. Furthermore, the proposed method fully utilizes the sparsity of the power flow Jacobian matrix and hence the memory requirements for the computation are low. These advantages are preserved when applied to various submatrices of the Jacobian matrix, which can be useful in constructing special voltage stability indices. The developed algorithm was applied to small test systems as well as to a large (real size) system with over 1000 nodes, with satisfactory results.},
doi = {10.1109/59.141687},
journal = {IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States)},
number = ,
volume = 7:1,
place = {United States},
year = 1992,
month = 2
}

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