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

Mitra, Joydeep; Ben-Idris, Mohammed; Cai, Niannian

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

Patent · 09 October 2018

OSTI ID:1485060

Mitra, Joydeep; Ben-Idris, Mohammed; Cai, Niannian

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.

Research Organization:: Board of Trustees of Michigan State University, East Lansing, MI (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: OE0000625

Assignee:: Board of Trustees of Michigan State University (East Lansing, MI)

Patent Number(s):: 10,097,000

Application Number:: 14/823,531

OSTI ID:: 1485060

Country of Publication:: United States

Language:: English

References (12)

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