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Title: Tool employing homotopy-based approaches in finding the controlling unstable equilibrium point in the electric power grid

Abstract

The analysis tool employs a computer-implemented algorithm that uses homotopy-based 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 homotopy-based 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, Ben-Idris, Mohammed, and Cai, Niannian. Tool employing homotopy-based approaches in finding the controlling unstable equilibrium point in the electric power grid. United States: N. p., 2018. Web.
Mitra, Joydeep, Ben-Idris, Mohammed, & Cai, Niannian. Tool employing homotopy-based approaches in finding the controlling unstable equilibrium point in the electric power grid. United States.
Mitra, Joydeep, Ben-Idris, Mohammed, and Cai, Niannian. Tue . "Tool employing homotopy-based 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 homotopy-based approaches in finding the controlling unstable equilibrium point in the electric power grid},
author = {Mitra, Joydeep and Ben-Idris, Mohammed and Cai, Niannian},
abstractNote = {The analysis tool employs a computer-implemented algorithm that uses homotopy-based 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 homotopy-based 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}
}

Works referenced in this record:

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A novel homotopy-based algorithm for the closest unstable equilibrium point method in nonlinear stability analysis
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journal, June 1988


An application of reachable set analysis in power system transient stability assessment
conference, January 2005


The homotopy continuation method to approach voltage collapse of electric power systems
conference, January 1993


Stability regions of nonlinear autonomous dynamical systems
journal, January 1988


A fast transient stability screening and ranking tool
conference, August 2014