Tool employing homotopybased approaches in finding the controlling unstable equilibrium point in the electric power grid
Abstract
The analysis tool employs a computerimplemented algorithm that uses homotopybased approaches to map the solution from the exit point to the controlling unstable equilibrium point (UEP). The computational time is reduced significantly by using an approximate exit point rather than computing an accurate exit point as it is required in finding the controlling UEPs using traditional transient stability direct methods. In addition, this method eliminates the necessity of computing the minimum gradient point (MGP) which is a key element in using Newton methods. These properties provide an advantage to homotopybased approaches over traditional iterative methods in terms of both speed of computation and reliability of finding solutions.
 Inventors:
 Issue Date:
 Research Org.:
 Michigan State Univ., East Lansing, MI (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1485060
 Patent Number(s):
 10097000
 Application Number:
 14/823,531
 Assignee:
 Board of Trustees of Michigan State University (East Lansing, MI)
 Patent Classifications (CPCs):

Y  NEW / CROSS SECTIONAL TECHNOLOGIES Y02  TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE Y02E  REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
H  ELECTRICITY H02  GENERATION H02J  CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER
 DOE Contract Number:
 OE0000625
 Resource Type:
 Patent
 Resource Relation:
 Patent File Date: 2015 Aug 11
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING
Citation Formats
Mitra, Joydeep, BenIdris, Mohammed, and Cai, Niannian. Tool employing homotopybased approaches in finding the controlling unstable equilibrium point in the electric power grid. United States: N. p., 2018.
Web.
Mitra, Joydeep, BenIdris, Mohammed, & Cai, Niannian. Tool employing homotopybased approaches in finding the controlling unstable equilibrium point in the electric power grid. United States.
Mitra, Joydeep, BenIdris, Mohammed, and Cai, Niannian. Tue .
"Tool employing homotopybased approaches in finding the controlling unstable equilibrium point in the electric power grid". United States. https://www.osti.gov/servlets/purl/1485060.
@article{osti_1485060,
title = {Tool employing homotopybased approaches in finding the controlling unstable equilibrium point in the electric power grid},
author = {Mitra, Joydeep and BenIdris, Mohammed and Cai, Niannian},
abstractNote = {The analysis tool employs a computerimplemented algorithm that uses homotopybased approaches to map the solution from the exit point to the controlling unstable equilibrium point (UEP). The computational time is reduced significantly by using an approximate exit point rather than computing an accurate exit point as it is required in finding the controlling UEPs using traditional transient stability direct methods. In addition, this method eliminates the necessity of computing the minimum gradient point (MGP) which is a key element in using Newton methods. These properties provide an advantage to homotopybased approaches over traditional iterative methods in terms of both speed of computation and reliability of finding solutions.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {10}
}