Methods of computing steadystate voltage stability margins of power systems
Abstract
In steadystate voltage stability analysis, as load increases toward a maximum, conventional NewtonRaphson power flow Jacobian matrix becomes increasingly illconditioned so power flow fails to converge before reaching maximum loading. A method to directly eliminate this singularity reformulates the power flow problem by introducing an AQ bus with specified bus angle and reactive power consumption of a load bus. For steadystate voltage stability analysis, the angle separation between the swing bus and AQ bus can be varied to control power transfer to the load, rather than specifying the load power itself. For an AQ bus, the power flow formulation is only made up of a reactive power equation, thus reducing the size of the Jacobian matrix by one. This reduced Jacobian matrix is nonsingular at the critical voltage point, eliminating a major difficulty in voltage stability analysis for power system operations.
 Inventors:
 Issue Date:
 Research Org.:
 Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1429386
 Patent Number(s):
 9921602
 Application Number:
 14/655,474
 Assignee:
 Rensselaer Polytechnic Institute, Troy, NY
 Patent Classifications (CPCs):

G  PHYSICS G05  CONTROLLING G05B  CONTROL OR REGULATING SYSTEMS IN GENERAL
G  PHYSICS G05  CONTROLLING G05F  SYSTEMS FOR REGULATING ELECTRIC OR MAGNETIC VARIABLES
 DOE Contract Number:
 AC0205CH11231
 Resource Type:
 Patent
 Resource Relation:
 Patent File Date: 2014 Nov 20
 Country of Publication:
 United States
 Language:
 English
 Subject:
 24 POWER TRANSMISSION AND DISTRIBUTION
Citation Formats
Chow, Joe Hong, and Ghiocel, Scott Gordon. Methods of computing steadystate voltage stability margins of power systems. United States: N. p., 2018.
Web.
Chow, Joe Hong, & Ghiocel, Scott Gordon. Methods of computing steadystate voltage stability margins of power systems. United States.
Chow, Joe Hong, and Ghiocel, Scott Gordon. Tue .
"Methods of computing steadystate voltage stability margins of power systems". United States. https://www.osti.gov/servlets/purl/1429386.
@article{osti_1429386,
title = {Methods of computing steadystate voltage stability margins of power systems},
author = {Chow, Joe Hong and Ghiocel, Scott Gordon},
abstractNote = {In steadystate voltage stability analysis, as load increases toward a maximum, conventional NewtonRaphson power flow Jacobian matrix becomes increasingly illconditioned so power flow fails to converge before reaching maximum loading. A method to directly eliminate this singularity reformulates the power flow problem by introducing an AQ bus with specified bus angle and reactive power consumption of a load bus. For steadystate voltage stability analysis, the angle separation between the swing bus and AQ bus can be varied to control power transfer to the load, rather than specifying the load power itself. For an AQ bus, the power flow formulation is only made up of a reactive power equation, thus reducing the size of the Jacobian matrix by one. This reduced Jacobian matrix is nonsingular at the critical voltage point, eliminating a major difficulty in voltage stability analysis for power system operations.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {3}
}
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