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):
-
H - ELECTRICITY H02 - GENERATION H02J - CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER
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
- 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 = {Tue Oct 09 00:00:00 EDT 2018},
month = {Tue Oct 09 00:00:00 EDT 2018}
}
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